Answer:
The cutoff score for recruitment by the statistics department is 675.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
[tex]\mu = 500, \sigma = 100[/tex]
Cutoff score for the top 4%.
100-4 = 96th percentile, which is X when Z has a pvalue of 0.96. So X when Z = 1.75.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.75 = \frac{X - 500}{100}[/tex]
[tex]X - 500 = 1.75*100[/tex]
[tex]X = 675[/tex]
The cutoff score for recruitment by the statistics department is 675.
The SAT math scores have a mean of 500 and a standard deviation of 100, and using the z-score for the 96th percentile (approximately 1.75), we calculate the cutoff score.
The SAT mathematics exam scores are normally distributed with a mean (μ) of 500 and a standard deviation (σ) of 100. To find the cutoff score for the top 4%, we need to determine the z-score that corresponds to the 96th percentile (since 100% - 4% = 96%).
Using a z-table or calculator, the z-score for the 96th percentile is approximately 1.75. We can use the formula for the z-score:
Z = (X - μ) / σ
Solving for X (the cutoff score), we get:
1.75 = (X - 500) / 100
X - 500 = 1.75 × 100
X - 500 = 175
X = 675
Therefore, the cutoff score for recruitment by the statistics department is approximately 675. This means students need to score about 675 or higher on the SAT mathematics exam to be in the top 4%.
For each part below, explain how the measure of the unknown angle can be found without using a protractor. Find the measure of angle D. *
To find the measure of an unknown angle like angle D without a protractor, one must apply geometric or trigonometric principles based on the angle's context, such as its relation to other angles and its placement within shapes. The original question lacks specific details about angle D, making it impossible to provide a precise method for its calculation.
Explanation:To find the measure of angle D without a protractor involves understanding the geometric or trigonometric principles applicable to the given situation. For instance, if angle D forms part of a straight line with another angle, the sum of both should be 180° due to the Linear Pair Postulate. In a triangle, knowing the measurements of two angles allows us to find the third, as the interior angles of a triangle always sum up to 180°. Additionally, if angle D is part of more complex figures like parallelograms, circles, or involves trigonometric functions, equations and properties specific to those shapes or functions can be used. For example, in trigonometry, the sine and cosine rules could help find unknown angles given certain side lengths or other angles.
Unfortunately, the original question does not provide enough context or specific details about angle D, such as its relation to other angles, its placement within geometric shapes, or any other condition that could determine its calculation method. Without this information, we cannot provide a step-by-step method to calculate angle D specifically.
a. As all the angles are 60° So, It is an equilateral triangle.
b. As all the angles are 30°, 60° and 90° So, It is an equilateral triangle.
Given:
Two figures are given with some given angle x and y
To find:
The measure of the unknown angles
Let the points are A B and C in this given figure
At point, A of the triangle exterior angle of the triangle is equal to the
the interior angle which is equal to x [by the vertically
opposite angle]
∴ ∠BAC = x
At point B of the triangle also exterior angle of the triangle is equal to the interior angle which is equal to x [by the vertically opposite angle]
∴ ∠ABC = x
At point C angle Y is equal to Angle X by the property of vertically opposite angle
∴ ∠ACB = x
By the sum of angle of triangle property
∠ACB+∠ABC+∠BAC = 180°
x+x+x = 180°
3x = 180°
x = 60°
As all the angles are 60° So, It is an equilateral triangle
In part b
2x +3x +x = 180 ° [angle of a straight line is 180°]
6x = 180 °
x = 30°
By x=30 placing find all the angles
2x= 2 x 30 = 60°
3x= 3 x 30 = 90°
If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
3 lines intersect to form 6 angles. From top left, clockwise, the angles are 1, 2 (90 degrees), 3, 4, 5, 6.
6 degrees
24 degrees
66 degrees
90 degrees
Answer:
b 24
Step-by-step explanation:
The measure of angle 3 is 24 degrees. The correct answer would be an option (B).
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.
Given that the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees
Here, the pairing of angles sums up to 90° then they are called complementary angles.
11x + 4x = 90
15x = 90
x = 90/15
Apply the division operation, and we get
x = 6
So, angle 3 is 4 × 6 = 24 degrees
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MAT-144-0502
Homework: Module 2 Homework (unlimited attempt
Score: 0 of 1 pt
6 of 25 (5 complete
2.1.50
The nutrition information on the cereal box says that a 1/3-cup serving provides 80 calories and 4 grams of dietary fiber. At th
A 1/2-cup serving contains
calories.
Answer:
5
Step-by-step explanation:
To find the Calorie content of a serving of cereal with 3 g protein, 18 g carbohydrates, and 6 g fat, multiply each by their Caloric values (4.1 Cal/g for protein and carbohydrates, 9.1 Cal/g for fat) and sum the results to get 140.7 Calories.
Explanation:Calculating Calories in Breakfast Cereal
To calculate the Calorie content of a serving of the breakfast cereal described, we need to multiply the mass of each macronutrient by its respective Caloric value per gram and sum them up. The given macronutrient values per serving of the cereal are 3 grams of protein, 18 grams of carbohydrates, and 6 grams of fat. Below are the calculations:
Calories from protein = 3 g × 4.1 Cal/g = 12.3 Cal
Calories from carbohydrates = 18 g × 4.1 Cal/g = 73.8 Cal
Calories from fat = 6 g × 9.1 Cal/g = 54.6 Cal
The total Calorie content for a serving of this breakfast cereal is obtained by adding the individual Calorie contributions from proteins, carbohydrates, and fat:
Total Calorie content = 12.3 Cal + 73.8 Cal + 54.6 Cal = 140.7 Calories
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3x2 + x – 14 = 0 answer buy factoring
Answer:
x=-7, x=6
Step-by-step explanation:
[tex]3x^{2} +x-14=0\\(x+7)(x-6)=0\\x=-7, x=6[/tex]
6th grade math help if u can (:
Answer:
Failure
Step-by-step explanation:
A synonym is a word that has a similar or exact same meaning as another given word. The synonym for malfunction, would therefore, be failure.
Answer:
It is failure
Step-by-step explanation:
a malfunction is a computer error. also known as a failure
Which of the following statements is false for an F distribution? a. Degrees of freedom for the numerator can be smaller than the degrees of freedom for the denominator. b. The exact shape of the distribution is determined by two numbers of degrees of freedom. c. Degrees of freedom for the numerator can be larger or equal to the degrees of freedom for the denominator. d. Degrees of freedom for the denominator cannot be smaller than the degrees of freedom for the numerator. e. Variables that are F distributed range from 0 to .
Answer:
A. True
B. True
C. True
D. False
Step-by-step explanation:
Option D is the only clear option that is false.
The S distribution is a statistical tool used to check the homogeneity of two independent estimates when studying population variance.
When using an F distribution, The ratio of the degree of freedom of the numerator to the denominator can be >1, = 1 or < 1.
This implies that degrees of freedom for the denominator can be smaller than the degrees of freedom for the numerator.
This makes option D false and hence the correct answer
Final answer:
The F distribution in ANOVA tests has specific characteristics based on degrees of freedom, with critical values for hypothesis testing.
Explanation:
False statement: d. Degrees of freedom for the denominator cannot be smaller than the degrees of freedom for the numerator.
The F distribution is used in ANOVA tests, with the shape determined by the degrees of freedom for the numerator and denominator. Critical values for the F distribution correspond to different probabilities for hypothesis testing.
Marlon asks a friend to think of a number from 5-11. What is the probability that marlins friend will think of the number 9
Answer:
14.29% probability that Marlon's friend will think of the number 9
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
There are 7 numbers from 5 to 11(5,6,7,8,9,10,11)
9 is one of them
So
[tex]p = \frac{1}{7} = 0.1429[/tex]
14.29% probability that Marlon's friend will think of the number 9
A plant is already 52 centimetres tall and it will grow one centimetre every month. The Plant's height, H (in centimetres), after M month is given by the following function: H (m) = 52+m What is the plant is height in 15 month?
9514 1404 393
Answer:
67 cm
Step-by-step explanation:
Put 15 where m is and do the arithmetic.
H(15) = 52 +15 = 67
The plant's height in 15 months is modeled as being 67 cm.
Who can Helppppp me with mathh??
Find parametric equations and a parameter interval for the motion of a particle starting at the point ( 2 2,0) and tracing the top half of the circle x squared plus y squared equals 4 x2+y2=4 four four times. Find parametric equations for the particle's motion. Let the parameter interval for the motion of the particle be 0 less than or equals ≤t less than or equals ≤ 4 4 pi π.
Answer:
1. Parametrization: [tex](2\cos(t), 2\sin(t))[/tex] and [tex]t\in [0,\pi][/tex]
2. In case that [tex]t\in [0,4\pi][/tex], the desired parametrization is [tex](2\cos(\frac{t}{4}), 2\sin(\frac{t}{4}))[/tex]
Step-by-step explanation:
Consider the particle at the point (2,0) and the circle of equation [tex]x^2+y^2=4[/tex]. Recall that the general equation of a circle of radius r is given by [tex]x^2+y^2=r^2[/tex]. Then, in our case, we know that the circle has radius 2.
One classic way to parametrize the movement of a particle that starts at point (r,0) and moves in a counterclockwise manner over a circular path of radius r is given by the following parametrization [tex](r\cos(t),r\sen(t)), t\in [0, 2\pi][/tex]. Since, for all t we have that
[tex](r\cos(t))^2+(r\sin(t))^2 = r^2(\cos^2(t)+\sin^2(t)) = r^2[/tex]
If we want to draw only the upper half of the circle, we must have [tex] t\in[0,\pi][/tex].
So, with r=2 the desired parametrization is [tex](2\cos(t), 2\sin(t))[/tex] and [tex]t\in [0,\pi][/tex]. Recall that in this parametrization when t=0 the particle is at (2,0) and when t=pi the particle is at (-2,0).
In the case that we want the parameter s [tex]\in[0,4\pi][/tex] but keeping the same particle's motion, we must do a transformation. We know that if parameter t is in the interval[tex][0,\pi][/tex] we get the desired motion. Note that in this case we are multiplying this interval by 4. So, we have that s = 4t. If we solve for the parameter t, we get that t=s/4. Then, with the parameter s in the interval [tex][0,4\pi][/tex] we get the parametrization [tex](2\cos(\frac{s}{4}), 2\sin(\frac{s}{4}))[/tex] which is obtained by replacing t in the previous parametrization.
Note that since when [tex]s=4\pi[/tex] we have that [tex]t=\pi[/tex] and that when s=0, we have t=0, then the motion of the particle is the same (it changes only the velocity in which the particle moves a cross the path).
Parametric equations for the particle's motion are x(t) = 2cos(t) and y(t) = 2sin(t), with a parameter interval from 0 to 4π radians to trace the top half of the circle x2 + y2 = 4 four times.
Explanation:To find the parametric equations that describe the motion of a particle tracing the top half of the circle x2 + y2 = 4 four times, we start from the standard parametric equations for a circle with radius 2 centered at the origin: x(t) = 2cos(t) and y(t) = 2sin(t). Since the problem specifies the top half of the circle and repeats this motion four times, we adjust our parameter t to cover the desired motion from 0 ≤ t ≤ 4π.
The parametric equations for the particle's motion are then: x(t) = 2cos(t) and y(t) = 2sin(t) with the parameter interval of 0 ≤ t ≤ 4π. Here, the parameter t represents the angle of rotation in radians, where the values of t from 0 to π cover the upper semicircle and the values of t from π to 2π would cover the lower semicircle, which we're ignoring in this case. Our chosen interval ensures that the top half is traced four times.
3
2
-1
1
2
3
Find the distance between J and K.
Which of the following is not a condition required for a valid ANOVA F-test for a completely randomized experiment? 1. The sample chosen from each of the populations is sufficiently large. 2. The variances of all the sampled populations are equal. 3. The sampled populations all have distributions that are approximately normal. 4. The samples are chosen from each population in an independent manner.
Answer:
1. The sample chosen from each of the populations is sufficiently large.
Step-by-step explanation:
ANOVA is known as analysis of variance and it is a statistical process which is used to test the degree to which two or more groups vary or differ in an experiment.
The variances of all the sampled populations are usually equal. The sampled populations all have distributions that are approximately normal and the samples are chosen from each population in an independent manner.
The one that is not a condition required for a valid ANOVA F-test for a completely randomized experiment is A. The sample chosen from each of the populations is sufficiently large.
It should be noted that ANOVA is known as analysis of variance. It is a statistical process that is used to test the degree to which two or more groups vary in an experiment.When doing the ANOVA, it should be noted that it isn't necessary for all the sample chosen from each of the populations to be sufficiently large.Learn more about ANOVA on:
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A professional soccer player buys 16 acres of land. He plans to build a house on the land but wants to use 2/8 of the land to put his own soccer field and facility on. How many acres of land will the soccer player need for his soccer field and facility?
Final answer:
To determine the acreage needed for the soccer field and facility, the fraction 2/8 is simplified to 1/4, and then 1/4 of the total land (16 acres) is calculated, resulting in 4 acres required for the soccer field and facility.
Explanation:
The question asks about a professional soccer player who has purchased 16 acres of land and wishes to use 2/8 of the land for a soccer field and facility. To find out how many acres will be needed for the soccer field and facility, we perform a simple calculation:
First, reduce the fraction 2/8 to its simplest form, which is 1/4. Then, multiply the total acreage by this fraction to determine the acreage for soccer use:
16 acres × 1/4 = 4 acres
Therefore, the soccer player will need 4 acres of land for his soccer field and facility.
Problem 6 Calculate the test statistic. (A z-score and a t-score are examples of test statistics.) In order to present your final results with a numerical accuracy of 0.01, it will be necessary to perform your intermediate calculations with an accuracy of 0.001. Part 1 The cost of a daily newspaper varies from city to city. A study was done to test the claim that the average cost of a daily newspaper is $0.35 . Twenty cities were surveyed; the average cost was $0.30 with a standard deviation of $0.03 . t= 7.45 Part 2 Your statistics instructor claims that 60 percent of the students who take an Elementary Statistics class go through life feeling more enriched. For some mysterious reason, most people don’t believe this. You decide to check this out on your own. You randomly survey 80 former Elementary Statistics students and find that 25 feel more enriched as a result of the class. z= 2.90
Answer:
Check the explanation
Step-by-step explanation:
1) The null and alternative hypothesis is ,
[tex]H_0 : \mu = 0.35[/tex]
[tex]H_a : \mu \neq 0.35[/tex]
Test statistic = t =
= [tex](T - \mu ) / s / \sqrt n[/tex]
= [tex](0.30 - 0.35 ) / 0.03 / \sqrt 20[/tex]
Test statistic = t = - 7.45
2) Solution :
The null and alternative hypothesis is
[tex]H_0[/tex] : p = 0.60
[tex]H_a[/tex] : p > 0.60
[tex]\hat p[/tex] = x / n = 25 / 60 = 0.417
P0 = 0.60
1 - P0 = 1 - 0.60 = 0.40
Test statistic = z = 0.417
= [tex]\hat p - P0 / [\sqrtP0 * (1 - P0 ) / n][/tex]
= [tex]0.417 - 0.60/ [\sqrt(0.60 *(1 - 0.60) / 80 ][/tex]
Test statistic = z = -3.34
HELP DUE TODAY a bag contains 40 slips of paper numbered 1-40 if one is chosen randomly what is the probability of not choosing a multiple of five
Answer:
80% probability of not choosing a multiple of five
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
In this problem, we have that:
There are 40 numbers between 1 and 40.
Multiples of 5 are: 5,10,15,20,25,30,35,40
So there are 8 numbers that are multiple of 4 and 40-32 = 8 which are not multiples of five.
So
32/40 = 0.8
80% probability of not choosing a multiple of five
Answer: the probability of not choosing a multiple of five is 0.8
Step-by-step explanation:
Probability is expressed as the ratio of the number of favorable outcomes to the total number of outcomes.
In this scenario, the total number of outcomes is 40. The multiple of 5 between 1 to 40 are 5, 10, 15, 20, 25, 30, 35, 40. The total numbers that are multiples of 5 is 8. The total numbers that are not multiples of 5 is 40 - 8 = 32
Therefore, the number of favorable outcomes is 32
Probability = 32/40 = 0.8
temperatures at several times of the day are shown in the coordinate plane below. the x-axis represents the number of hours before or after noon. for example -1 would represent 11 a.m. the y-axis represents the temperature in degrees celsius at 5pm the temperature is half way between the temperature at 2pm and the temperature at 8pm. what coordinates represent the temperature at 5pm
Which expression can be used to find the surface area of the following square pyramid
Answer:
[tex]36+15+15+15+15[/tex]
Step-by-step explanation:
For the surface area we need to add up all the areas in the pyramid:
area of the basearea of the triangle sides (there are 4 triangles)Area of the base:
the base is a square, and the area of a square is given by:
[tex]a_{base}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=6[/tex], thus:
[tex]a_{base}=(6)^2\\a_{base}=36[/tex]
Area of the triangles:
one triangle has the area given by the formula:
[tex]a_{triangle}=\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=6[/tex]
and [tex]h[/tex] is the height of the triangle: [tex]h=5[/tex], thus we have the following:
[tex]a_{triangle}=\frac{6*5}{2} \\\\a_{triangle}=\frac{30}{2} \\\\a_{triangle}=15[/tex]
the expression that represents the surface area of the pyramid is:
[tex]a_{base}+area_{triangle}+area_{triangle}+area_{triangle}+area_{triangle}[/tex]
substituting our values:
[tex]36+15+15+15+15[/tex]
which is option B
Answer:
Its Option C
Step-by-step explanation:
Which of the following does not affect your property insurance premium?
Answer: your age
Step-by-step explanation:
An item which is not a factor that affects a person's automobile insurance premiums is: c. the color of your car.
What is an insurance company?An insurance company is a business firm that is establish to collect premium from all of the insured for losses which may or may not occur, so they can easily use this cash to compensate or indemnify for losses incurred by those having high risk.
here, we have,
Generally, some examples of the factors that typically determines and affects a person's automobile insurance premiums include the following;
Driving record.
Duration of car usage.
Owner's age
Location
Gender
Where owner lives.
Credit score
Year, make, and model of car.
Overall value of the car.
In conclusion, we can infer and logically deduce that the color of a car is not a factor that affects a person's automobile insurance premiums.
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Complete Question:
Which of the following is not a factor that affects your auto insurance premiums?
a year, make, and model of your car
b. where you live
c. the color of your car
d. overall value of your car
Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?
a.
Combine like terms, 3 and 5, on the right side of the equation
b.
Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation.
c.
Distribute 2 to (X+6) and 3 to (x-4)
d.
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
A farmer sells 9.2 kilograms of apples and pears at the farmer's market.
3
5
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer: 1 .9 kilograms
Step-by-step explanation:
9.5/5=1.9
since the apples account for 4 parts, we multiply 4 times the value of 1 of the 5 parts
4x1.9=7.6
Now we subtract from the original weight of everything.
9.5-7.6=1.9
Final answer:
To calculate the weight of pears sold, subtract the weight of apples (three-fifths of the total) from the total weight of 9.2 kg, resulting in 3.68 kg of pears sold at the market.
Explanation:
The farmer sells 9.2 kilograms of apples and pears in total. To find out the weight of the pears sold, we need to first calculate the weight of the apples, which is three-fifths (3/5) of the total weight, and subtract that from the total weight.
First, calculate the weight of apples:
Multiply the total weight (9.2 kg) by 3/5 to find the weight of the apples.9.2 kg times 3/5 = 5.52 kg (weight of apples).Then, to find the weight of the pears sold, subtract the weight of the apples from the total weight:
Subtract the weight of apples (5.52 kg) from the total weight (9.2 kg).9.2 kg - 5.52 kg = 3.68 kg (weight of pears).Therefore, the farmer sold 3.68 kilograms of pears at the farmer's market.
A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of product X and $0.04 per item to ship product Y. If the total shipping cost is $352, which system of equations can be used to determine how much of product X and product Y the store owner bought?
Answer:
x + y = 4,000
0.1x + 0.04y = 352
Step-by-step explanation:
Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought.
Answer:
C. [tex]\left \{ {{x+y=4,000} \atop {0.1x+0.04y=352}} \right.[/tex]
Step-by-step explanation:
Edge 2020
The base of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. what is the area of the trapezoid?
Can anyone help me with this? its for extra credit for work provide any steps please
Answer:
240 ft^2
Step-by-step explanation:
area: (24+16)12/2=240 ft^2
(the area of a trapezoid is the sum of the bases multiplied by the height over 2.)
HELPP PLEASE!!!!
The following diagram shows the graph of a function
Answer:
The equation of the line is [tex]f\left(x\right)=-\frac{1}{9}x^{2}+1.8[/tex]
Step-by-step explanation:
I graphed the equation on the graph below and found the equation of the line.
If this answer is correct, please make me Brainliest!
Graphing the function [tex]\(f(x) = -\frac{1}{9}x^2 + 1.8\)[/tex] involves identifying the vertex, axis of symmetry, and plotting key points by selecting suitable x-values.
To graph the quadratic function [tex]\(f(x) = -\frac{1}{9}x^2 + 1.8\)[/tex], start by finding the vertex.
The vertex form [tex]\(f(x) = a(x - h)^2 + k\)[/tex] helps identify it, where \((h, k)\) is the vertex.
Here, [tex]\(a = -\frac{1}{9}\)[/tex].
The x-coordinate of the vertex is given by [tex]\(h = -\frac{b}{2a}\)[/tex] from the standard quadratic form [tex]\(ax^2 + bx + c\)[/tex], and [tex]\(b = 0\)[/tex] here since [tex]\(f(x)\)[/tex] has no linear term. So, [tex]\(h = 0\)[/tex]. Thus, the vertex is at [tex]\((0, 1.8)\)[/tex].
Next, find the axis of symmetry, which passes through the vertex. The axis of symmetry is the vertical line [tex]\(x = h\)[/tex], so in this case, [tex]\(x = 0\)[/tex].
To plot additional points, choose x-values on either side of the axis. Calculate corresponding y-values using the function.
For instance, when [tex]\(x = 3\)[/tex], [tex]\(f(3) = -\frac{1}{9}(3)^2 + 1.8\)[/tex], which equals [tex]\(1.3\)[/tex]. Repeat this process for a few more x-values.
Plot the vertex, axis of symmetry, and other points on a coordinate plane.
The resulting graph is a downward-opening parabola with the vertex as the highest point.
Label the axes, points, and use arrows to indicate the direction of opening.
This visual representation provides insight into the behavior of the function for different x-values.
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Need Help on this someone!!!
20,880 times 2/5 = ?
Answer:
20,880 x 2/5
= (20,880 x 2)/5
= (41,760)/5
= 8,352
491,787 divided into 477
Answer:
1,031
Step-by-step explanation:
you divide 491,787 divided into 477, you get 1,031
491,787 divided into 477 would be 1031
If mZABF = (7x + 20)". mZFBC = (2x - 5) ".
and mZABC = 159º. find the value of x.
Answer:
x = 16
Step-by-step explanation:
We assume that ray BF lies between BA and BC, so that ...
∠ABF +∠FBC = ∠ABC
(7x +20) +(2x -5) = 159
9x +15 = 159 . . . .collect terms
9x = 144 . . . . . . . subtract 15
x = 16 . . . . . . . . . .divide by 9
You are conducting research for a popular blog to find out the proportion of readers who are satisfied with the site’s newly designed navigation. You want to make sure that you increase your chances for capturing the true proportion of readers who are satisfied, but the margin of error is too large. Which of the given options would you do?
:D XD :D XD :D XD :D XD :D XD XD XD
What fraction of the samples have a salt content greater than 38 grams?
Answer:
6/17
Step-by-step explanation:
exponential form of log_7(7)=2x + 2
Answer:
The value of x is -1/2 .
Step-by-step explanation:
You have to use Logarithm Law,
[tex] {a}^{x} = y => log_{a}(y) = x[/tex]
So for this question :
[tex] log_{7}(7) = 2x + 2[/tex]
[tex]1 = 2x + 2[/tex]
[tex]2x = - 1[/tex]
[tex]x = - \frac{1}{2} [/tex]