Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
The probability of winning the alphabet game twice in a row is 25/676.
To calculate the probability of winning the alphabet game twice in a row, we need to consider the probability of drawing a vowel each time and then multiply these probabilities together since the events are independent.
First, we identify there are 5 vowels (A, E, I, O, U) in the alphabet, and there are 26 total letters. So the probability of drawing a vowel in one turn is 5/26.
To win twice in a row, you would need to draw a vowel during your first turn and then replace the slip and draw a vowel again on your second turn. Since the slip is replaced after each turn, the probability for each turn remains the same (5/26).
Therefore, the probability of winning twice is:
(5/26) * (5/26) = (25/676)
So, the probability of winning the alphabet game twice in a row is 25/676.
the third segment in the graph is not as step as the segment. what does this mean?
in geometry a line segment part of a line that is bounded by two distinct endpoints
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
x2 + x - 72 = 0
O2 + x + 72 = 0
x2 + 2x - 72 = 0
2 + 2x + 72 = 0
Answer:
x^2+x-72=0
Step-by-step explanation:
Hope this helps!
Answer:
x^2+x-72=0
Step-by-step explanation:
Maria mows 2/3 of a lawn in 1/5 hour. How many similar-sized lawns can she mow in 1 hour?
Thank you!
Answer:
Step-by-step explanation:
In one hour = 2/3/1/5
= 10/3 lawn
Hope this helps you out!
Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.
Volume = [tex]\frac{1}{3} \pi r^{2} h[/tex]
150 = [tex]\frac{1}{3}[/tex] x 3.14 x 10 x 10 x h
150 x 3 = 314 x h
h = 450/314
h = 1.43 inches
The requried height of the cone with a volume of 150 in² is given as 1.43 in.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
here,
Volume of the cone = 1/3 πr²h
From the quesiton we have,
r = 20/2 = 10 in and volume = 150
150 = 1/3 × 3.14 × 10² × h
h = 1.433 in
Thus, the requried height of the cone with a volume of 150 in² is given as 1.43 in.
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Help me plz plz plz :(
Here is a right angled triangle
Answer:
10
Step-by-step explanation:
cos60=0.5
cos60= 5/x hence x=5÷cos60(0.5)
=5÷0.5=10
The radius of a circle is 8.6 centimeters.
Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth and use 3.14 for pi.
______ square centimeters
Answer:
8.6 x 3.14 = 27.00cm (squared) I think. Double check that. But i think ( .00 ) is in the hundredths.
Final answer:
The area of a circle with a radius of 8.6 centimeters is approximately 232.23 square centimeters when calculated using 3.14 for Pi and rounding to the nearest hundredth.
Explanation:
The question is asking to find the area of a circle with a given radius. The formula to calculate the area of a circle is A = πr², where π is a constant (Pi, approximately 3.14) and r is the radius of the circle. To calculate the area with the given radius of 8.6 centimeters:
Insert the radius into the area formula: A = π × (8.6 cm)²
Perform the squaring of the radius: 8.6 cm × 8.6 cm = 73.96 cm²
Multiply the result by Pi (using 3.14 for π): A = 3.14 × 73.96 cm²
Calculate the product: A = 232.23 cm²
Round the result to the nearest hundredth: A ≈ 232.23 cm²
Therefore, the area of the circle is approximately 232.23 square centimeters.
Which describes all of the values for which the graph is
positive and decreasing?
O all real values of x where x<-1
O all real values of x where x < 1
O all real values of x where 1
O all real values of x where x > 3
Answer: C
Step-by-step explanation:
I went w/ my trusty C and got it right on e2020
All real values of x where 1 < x < 3. Therefore, option C is the correct answer.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
The positive regions of a function are those intervals where the function is above the x-axis.
It is where the y-values are positive (not zero).
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which describes all of the values for which the graph is positive and decreasing?
A.all real values of x where x < −1
B.all real values of x where x < 1
C.all real values of x where 1 < x < 3
D.all real values of x where x > 3
Find the measure of b
How do we write 1/5 as a decimal?
Answer:
1/5 as a decimal is written as 0.2
Answer:
This makes you get 0.2So you have the fraction 15 . What the divided sign is, is basically just a division sign. So, to get the decimal, you do 1÷5 .
Step-by-step explanation:
So you have the fraction 15 . What the divided sign is, is basically just a division sign. So, to get the decimal, you do 1÷5 .
In the net of a cylinder, one dimension of the rectangle is the same as the circumference of each circular base. Is this true or false?
Answer:
True.
Step-by-step explanation:
When we look at a cylinder, it has be observed that it has 3 parts or 3 shapes to it.
These 3 parts or shapes are referred to as the net of a cylinder.
This 3 parts include
a. A circle at the top
b. A circle at the bottom.
c. A rectangle.
The circle at the bottom gives us the base of the cylinder while the rectangle is curved when forming the cylinder and it is due to this that we have the curved surface area of the cylinder.
It is important to know that there is a relationship between the length of one of the edges of the rectangle and the circumference of the base of the cylinder such that, the length of one of the edges of the rectangle is equal to or equivalent to the circumference of each circular base.
What decimal part of 60 is 45?
Answer:
0.75
Step-by-step explanation:
45 is three-fourths of sixty
three fourths as a fraction is .75
hope this helps!!!
Answer:
0.75
Step-by-step explanation:
you divide 45 by 60 and you will get 0.75
Phan earned gross wages of $487.12. Phan's deductions were: $49 in federal withholding taxes, 6.2% in social security taxes, 1.45% in Medicare taxes, $28.74 in health insurance, and $12 in union dues. Find Phan's net pay.
Answer:
$360.12
Step-by-step explanation:
Phan's net pay would be equal to the gross wage he receives minus the deductions:
Gross wage= $487.12
Federal withholding taxes= $49
Social security taxes= $487.12*6.2%= $30.2
Medicare taxes= $487.12*1.45%= $7.06
Health insurance= $28.74
Union dues= $12
Net pay= $487.12-$49-$30.2-$7.06-$28.74-$12
Net pay= $360.12
According to this, Phan's net pay is $360.12.
Phan's net pay is calculated by subtracting the sum of Social Security tax, Medicare tax, federal withholding, health insurance, and union dues from his gross wages. After performing the calculations, Phan's net pay is $360.12.
To calculate Phan's net pay, we first need to determine the amount of each deduction from his gross wages. We will follow these steps:
Calculate the Social Security tax: 6.2% of $487.12.Calculate the Medicare tax: 1.45% of $487.12.Add the fixed deductions: federal withholding taxes, health insurance, and union dues.Subtract the total of all deductions from the gross wages to find the net pay.Now let's do the math:
Social Security tax = 6.2% of $487.12 = $30.20Medicare tax = 1.45% of $487.12 = $7.06Total fixed deductions = $49 (federal withholding) + $28.74 (health insurance) + $12 (union dues) = $89.74Adding up all the deductions: $30.20 (Social Security) + $7.06 (Medicare) + $89.74 (fixed deductions) = $127.To calculate the net pay:
Gross wages = $487.12
Total deductions = $127.00
Net pay = Gross wages - Total deductions
Net pay = $487.12 - $127.00 = $360.12
Therefore, Phan's net pay is $360.12.
Which situation can be modeled by the inequality 3+7<13?
The inequality 3+7<13 represents a situation where the sum of three units and seven units is less than thirteen units. While this does not hold true in a strict mathematical sense, it illustrates the notion of inequality.
Explanation:The inequality 3+7<13 represents a situation where the sum of three units and seven units is less than thirteen units. The numbers could represent any sorts of units, depending on the real-world situation.
For instance, let's consider an example where each unit represents one apple. According to this inequality, if you have three apples and you add seven more apples, the total number of apples you have would be less than thirteen. As you can see, this does not make sense, because 3+7 equals 10, which is not less than 13. Thus, the inequality 3+7<13 does not hold true in this situation.
This example illustrates that the given inequality does not hold true in a mathematical sense because 3 + 7 equals 10, which is not less than 13. However, in a situation where there is a numerical error or logical inconsistency, this inequality could potentially be used.
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Which of the following graphs represents a one-to-one function?
On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).
On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).
On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).
A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).
Answer:
The correct answer is the third graph
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?
Answer:
5 by 4
Step-by-step explanation:
0.25 x 20 = 5
0.25 x 16 = 4
Answer:
5 y 4
Step-by-step explanation:
I had this qweston.
A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 3% of the true proportion. a) No preliminary estimate is available. Find the minimum sample size needed. b) Find the minimum sample size needed, using a prior study that found that 26% of the respondents said they think their president can control the price of gasoline. c) Compare the results from parts (a) and (b).
Answer:
a) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]
And rounded up we have that n=1849
b) [tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]
And rounded up we have that n=1423
c) For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a
Step-by-step explanation:
Part a
The critical value for a confidence level of 99% is for this case [tex]z_{\alpha/2} =2.58[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
Since we don't know any estimate for the true proportion we can use [tex]\hat p =0.5[/tex] as a godd estimator. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]
And rounded up we have that n=1849
Part b
For this case we have a prior estimate [tex]\hat p =0.26[/tex] and replacing we got:
[tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]
And rounded up we have that n=1423
Part c
For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a
you flip a coin, what is p (tails)?
Answer:
1/2
Step-by-step explanation:
There are 2 sides to a coin, heads and tails
P (tails) =number of tails/ total
= 1/2
Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team:
Which statement best describes the relationship between the positions of the two midfield players? (1 point)
Group of answer choices
Q is P reflected across the x-axis; only the signs of the x-coordinates of P and Q are different.
Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.
Q is P reflected across the y-axis; only the signs of the x-coordinates of P and Q are different.
Q is P reflected across the y-axis; only the signs of the y-coordinates of P and Q are different.
Answer:
answer is c but i think it is to late
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the mean and the mean average height.
Answer:
a.) [tex]mean=200.3[/tex]
b.) [tex]210[/tex] [tex]cm[/tex]
Step-by-step explanation:
a.) We are given the heights and their frequency. We can make a new set:
198, 199, 199, 199, 200, 200, 201, 201, 201, 201, 201, 202, 202
Now find the mean. The mean is found by adding all the numbers in the set, then dividing the total by the number of terms in the set. Add:
[tex]198+199+199+199+200+200+201+201+201+201+201+202+202=2604[/tex]
Now count the terms. There are 13 terms. Divide the total by the number of terms:
[tex]\frac{2604}{13}= 200.3[/tex]
The mean is 200.3.
b.) Use random values like 200, 198 etc. and add them to the total of the last set, then divide by 14 instead of 13 (because there is a new player). Do this until you get a mean of 201 with the new height:
[tex]2604+210=2814\\\\\frac{2814}{14}= 201[/tex]
For the new mean to be 201 cm, the new player has a height of 210 cm.
Finito.
To estimate the mean height of students at your college or university with 93 percent confidence and a margin of error of 1 inch, you would need to measure approximately 333 male students.
Explanation:To estimate the mean height of students at your college or university with 93 percent confidence and a margin of error of 1 inch, you need to use the formula for sample size.
The formula for sample size is:
N = ((Z * σ) / E)^2
Where N is the sample size, Z is the Z-score for the desired confidence level, σ is the standard deviation, and E is the margin of error.
In this case, the Z-score for 93 percent confidence is 1.8119 (found using a Z-table). The standard deviation is given as 2.5 inches. Substituting these values into the formula:
N = ((1.8119 * 2.5) / 1)^2
N = 18.2255^2
N ≈ 332.3782
Rounding up to the nearest whole number, you would need to measure approximately 333 male students to estimate the mean height with 93 percent confidence and a margin of error of 1 inch.
i neeed helpppp plz 50 points
Part A
Consider the following ratios and state that whether these ratios forms a proportion?
Case1 - 20 friends to 15 strangers
Case 2 - 4 friends to 3 strangers
A
Yes
B
No
Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
Answer:
Note: Type the answer as shown. Ex: (3:8)
Answer:
A. Yes
B. 5 : 1
Step-by-step explanation:
Case 1
Friends : strangers
20 : 15
4 : 3
Case 2
Friends : Strangers
4 : 3
Ratio of friends
Case 1 : Case 2
20 : 4
5 : 1
Kate had 70 brooms; Alisa had 20 more brooms than Kate. What was the ratio of Kate’s brooms to Alisa’s brooms?
Answer:
7:9
Step-by-step explanation:
it was 70:70+90 cuz it was 20 moe than kates broom and if u simpifly that it will be 7:9 and sorry if my grammers bad im also a student lol i hope this helps. :)
Given that Kate possessed 70 brooms and Alisa had 20 more brooms than her, Alisa possessed 90 brooms. The ratio of Kate's brooms to Alisa's brooms reduces to 7:9.
Explanation:The question wants to find the ratio of brooms Kate has to the brooms Alisa has. Firstly, we know Kate has 70 brooms. The question also tells us that Alisa has 20 more brooms than Kate, which means Alisa has 70+20=90 brooms. To establish a ratio, we simply put Kate's brooms to Alisa's brooms which gives us 70:90. However, we always want to reduce the ratio to its simplest form. Both 70 and 90 are divisible by 10, so we divide each side by 10, getting 7:9. The ratio of Kate's brooms to Alisa's brooms is therefore 7:9.
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The perimeter of a rectangle is 68 cm. The length is 4 cm more than its
width. Find the length of the rectangle.
Answer:
21
Step-by-step explanation:
68 divided by 4 sides is 17 subtract 4 cm for width and add 4 cm for length to get 21 cm for length and 13 cm for width
A group of students forgot to add thiosulfate to one test tube> what will they observe?
Answer:
The solution will experience an instant colour change because thiosulphate which is meant to be used as a clocking or Redox reagent which would have to react with iodine is absent.
Step-by-step explanation:
Thiosulphate is a chemical reagent that is used in chemical reactions such as titrations.
Thiosulphate is used as in the chemical reaction called Iodometry. This is a reaction whereby Thiosulphate is used as reactant and it is titrated against iodine in order to obtain an endpoint.
If Thiosulphate is not added to the test tube, there would be a colour change that occurs instantly because Thiosulphate did not react with iodine.
Without thiosulfate in a chemical reaction, students might observe an unchecked reaction progression, an absent color change, or the non-formation of a precipitate, which could significantly alter the expected outcome of the experiment.
Explanation:If a group of students forgot to add thiosulfate to one test tube during an experiment, they would likely observe changes in the reaction that the thiosulfate was intended to affect. Depending on the specific experiment, the absence of thiosulfate could result in a faster reaction rate, lack of a particular color change, or the non-formation of a precipitate if thiosulfate is used as a reagent to react with a specific analyte. In general, thiosulfate is often used as a titrant or a reducing agent in various chemical reactions.
For example, in a reaction where thiosulfate is used to quench iodine, forgetting to add it would result in a permanent dark/starch-iodine complex, indicating that the reaction has gone to completion without being stopped by the thiosulfate. In another example, in silver-based photographic processing, thiosulfate is used to remove excess silver halide from developed film or paper; without it, the remaining silver halide would cause the material to be overly dark or discolored.
In the context of the provided information, if thiosulfate were supposed to quench a reaction or produce a specific analytical result, its absence would alter the expected outcome, potentially leading to incorrect conclusions. Observations without thiosulfate could include an unchecked reaction progression or the non-formation of anticipated reaction products.
A gaming system is originally priced at $365. It is now on sale for 20% off. What is the price of the system with the discount?
Original price = $365
Price with 20% off = 80% of original price
= 365 x [tex]\frac{80}{100}[/tex]
= 365 x [tex]\frac{4}{5}[/tex]
= 73 x 4
= $292
Therefore, the price of the system with the discount is $292.
Use the data to find the upper quartile value.
Movie Ticket Fees at a Local Theater
$10.25 $9.75
$8.75 $12.75
$11.00 $6.50
A.$10
B.$8.75
C.$11
D.$12.75
Answer:
The answer is C.
Step-by-step explanation:
Answer:
Upper Quartile- $11.00
Lower Quartile-$8.75
Step-by-step explanation:
I got them right
Coach Curran's team has won 5 times and lost 2 times. He hopes that his team can keep this same ratio of wins to losses.
If the team had 10 losses, how many wins would they need to keep the record? Complete the table.
Answer:
25
Step-by-step explanation:
10 is 5 times the amount of 2 and by multiply 5 by 5 you would get 25
Answer:25
Step-by-step explanation:
Martha made 3 birthday cards, and she wants to make more. If she makes 5 cards an hour, how many cards will she have after 6 hours? REMEMBER TO ADD THE ORIGINAL 3 TO THE NUMBER SHE MAKES IN 6 HOURS. ANSWER WITHOUT UNITS.
Answer:
33
Step-by-step explanation:
just multiply 5*6 and add three to the result
Answer:
33
Step-by-step explanation:
Every hour she makes 5 cards, and she makes them for 6 hours so you need to multiply 6 with 5 to get 30, then add up the 3 she made earlier...33 :D
What the answer to this
Answer:
(4, -15) is the vertex, a
Step-by-step explanation:
y=x^2-8x+1
-b/2a=x
y = ax^2 + bx + c
a=1 b=-8 c=1
x=8/2(1)
x=8/2
4 is the x of the vertex
y=4^2-8(4)+1
y=16-32+1
y=-15
(4, -15)
Hope this helps! Please mark brainliest :)
Answer: A (4,-15)
Step-by-step explanation:
Identify the a, b, and c from this equation. 2x^2−150=0
Answer:
a=2, b=0, c = -150
Step-by-step explanation:
The standard form of an equation is ax² + bx + c
In this case our equation is 2x² - 150
Here our a is 2, there is no b so b is 0, and c is -150
A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop?
Answer:
Step-by-step explanation:
The circumference of a regulation basketball hoop with an 18-inch diameter is approximately 56.52 inches.
The question asks for the approximate length around the rim of a regulation basketball hoop, which has an 18-inch diameter. To find the circumference (the length around the rim), we can use the formula:
Circumference =
pi imes diameter
Since the diameter of the rim is 18 inches, we can approximate
pi as 3.14 to calculate the circumference:
Circumference = 3.14 imes 18 inches = 56.52 inches
Thus, the approximate length around the rim of a regulation basketball hoop is about 56.52 inches.