Answer:
A) x ≥ 0.074; B) x ≥ 0.108; C) x ≤ 0.006; D) 0.04 ≤ x ≤ 0.108
Step-by-step explanation:
68% of data will fall within 1 standard deviation of the mean; 95% of data will fall within 2 standard deviations of the mean; and 99.7% of data will fall within 3 standard deviations of the mean.
Breaking this down, we find that 34% of data fall from the mean to 1 standard deviation above the mean; 13.5% of data fall from 1 standard deviation above the mean to 2 standard deviations above the mean; 2.35% of data fall from 2 standard deviations above the mean to 3 standard deviations above the mean; and 0.15% of data fall above 3 standard deviations above the mean.
The same percentages apply to the standard deviations below the mean.
The highest 50% of data will fall from the mean to the end of the right tail. This means the inequality for the highest 50% will be x ≥ 0.074, the mean.
The highest 16% of data will fall from 1 standard deviation above the mean to the end of the right tail. This means the inequality for the highest 16% will be x ≥ 0.074+0.034, or x ≥ 0.108.
The lowest 2.5% of data will fall from 2 standard deviations below the mean to the end of the left tail. This means the inequality for the lowest 2.5% will be x ≤ 0.074-0.034-0.034, or x ≤ 0.066.
The middle 68% will fall from 1 standard deviation below the mean to 1 standard deviation above the mean; this means the inequality for the middle 68% will be
0.074-0.034 ≤ x ≤ 0.074+0.034, or
0.04 ≤ x ≤ 0.108
The cutoff values using the 68-95-99.7 Rule for the given mutual funds data are calculated. The highest 50% lies between 4.0% and 10.8%, the highest 16% lies between 0.6% and 14.2%, the lowest 2.5% lies between -2.8% and 17.8%, and the middle 68% lies between 4.0% and 10.8%.
Explanation:The cutoff values can be found using the 68-95-99.7 Rule, which states that approximately 68 percent of the data lies within one standard deviation of the mean, 95 percent lies within two standard deviations, and 99.7 percent lies within three standard deviations. With a mean of 7.4% and a standard deviation of 3.4%, we can determine the cutoff values:
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Find the following measure for this figure.
Volume =
400 cubic units
433.3 cubic units
1,200 cubic units
Answer: first option.
Step-by-step explanation:
The formula you must use to calculate the volume of the figure shown is the following:
[tex]V=\frac{BH}{3}[/tex]
Where B is the area of the base and H is the height.
Assuming that the base of the pyramid is a square, you have that B is:
[tex]B=(10units)^2=100units^2[/tex]
Substitute values into the formula, Then you obtain:
[tex]V=\frac{(100units^2)(12units)}{3}=400units^3[/tex]
Answer:
Final answer is 400 cubic units.
Step-by-step explanation:
We have been given length of the base edge of square pyramid = a = 10 units
vertical height of the square pyramid = h = 12 units
Now we need to find the volume of the square pyramid.
So apply formula :
[tex]Volume = \frac{1}{3}a^2h[/tex]
[tex]Volume = \frac{1}{3}(10)^2(12)[/tex]
[tex]Volume = \frac{1}{3}(100)(12)[/tex]
[tex]Volume = \frac{1}{3}(1200)[/tex]
[tex]Volume = 400[/tex]
Hence final answer is 400 cubic units.
The valoe of these seven in 27,459 is how many times value of the 7 in 40,735
27,459 --- 7,000
40,735 --- 700
7,000÷700 =10 times greater
A soup can has a radius of 4.3 cm and a height of 11.6 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter
Final answer:
To find the volume of the soup can, one must use the formula for the volume of a cylinder, [tex]V = (pi)r^2h[/tex]. After substituting the given measurements, the calculated volume, rounded to the nearest tenth, is approximately 673.9 cubic centimeters.
Explanation:
The student asked about the volume of a cylindrical soup can with a given radius and height. To calculate this, the formula for the volume of a cylinder, which is V = \\(pi)r^2h, is used. Here, r represents the radius of the cylinder's base, and h represents the height of the cylinder. Substituting the given values into the formula, we get [tex]V = (pi)(4.3 cm)^2(11.6 cm)[/tex]. The calculated volume will give us the amount of space inside the soup can, measured in cubic centimeters (cm^3).
Step-by-step calculation:
Start by squaring the radius: (4.3 cm)^2 = 18.49 cm^2.Next, multiply this by [tex]\\(pi) (approximately 3.14159): 18.49 cm^2 \\(times)[/tex] 3.14159 = 58.095 cm^2 (rounded to three decimal places for intermediate calculation).Finally, multiply by the height of the can: 58.095 cm^2 [tex]\\(times)[/tex] 11.6 cm = 673.902 cm^3.Round the result to the nearest tenth: The volume of the soup can is approximately 673.9 cm^3.The surface area of the prism is .
354
300
336
372
The surface area is 300 therefore its B
Pleeeeease help!!!!!!!!
Dima asked her seventh-period class how many times they attended a summer camp since first grade. She put her data in the table and used the shaded rows to find sample means. Summer Camp Attendance
3 1 0 4 1
4 2 3 0 5
0 1 1 2 0
4 1 4 4 2
3 2 0 1 4
What is the range of the values for the sample means?
1
1.2
1.8
2
The range of the sample means calculated from the provided data is 2.2.
To find the range of the sample means, we first need to calculate the mean for each row and then find the range of these means.
Calculating the mean for each row:
1st row: (3 + 1 + 0 + 4 + 1) / 5 = 9 / 5 = 1.8
2nd row: (4 + 2 + 3 + 0 + 5) / 5 = 14 / 5 = 2.8
3rd row: (0 + 1 + 1 + 2 + 0) / 5 = 4 / 5 = 0.8
4th row: (4 + 1 + 4 + 4 + 2) / 5 = 15 / 5 = 3
5th row: (3 + 2 + 0 + 1 + 4) / 5 = 10 / 5 = 2
Now, let's find the range of these means:
Range = Maximum mean - Minimum mean
Range = 3 - 0.8 = 2.2
Therefore, the range of the values for the sample means is 2.2.
Find the expression you can substitute for x in 5x+y=10 to solve the system below
First you would need to move the variable causing it to change its sign
5x=10-y
Then divide both sides by 5
X=2-1/5y
Then you are left with your answer:
x=2-1/5y
Hope this helps! :3
How much time woiuld a old car take to cover a distance of 39 miles at a speed of 13 miles/i hour ?
Answer:
3 hours
Step-by-step explanation:
39 miles/ 13 miles per hour means 3 hours. SIMPLE!
You are at a trade show where you are selling baseball cards for $4 a card and buying baseball cards for $6 a card. If you started the day with $200, how much money do you have at the end of the day if you sold c baseball cards and bought b baseball cards? A) 4c - 6b B) 200 + 4c - 6b C) 200 - 4c + 6b D) 200 - 2(c + b) E)
Answer:
B) 200 + 4c - 6b
Step-by-step explanation:
Be,
c = number of cards sold at $4
b = number of cards purchased at $6
x = money at the beginning of the day = $200
y = money at the end of the day
The variables x and c owe positive values because they represent possession or income of money, while b must be negative because purchases are expenses.
Then, the following equation is formed:
y = x + 4c - 6b
Substituting x for its value, you get
y = 200 + 4c - 6b
Hope this helps!
Find the distance between the points given.
(-1, -1) and (1, 3)
a. √5
b. √(17)
c. 2√5
So the answer is (C)
c.2/5
hope this HELP
Answer:
2 to the power of 5
Step-by-step explanation:
1- Find the surface area and volume of each solid figure.
2-Show the equations you used.
PLEASE HELP!!!!!!! 20 points
Answer:
Volume
Figure 1 = 56 cube units
figure 2 = 60 cube units
figure 3 =72 cube units
Surface area
Figure 1 = 100 square units
figure 2 = 104 square units
figure 3 =108 square units
Step-by-step explanation:
From the all figure we can see that each figure made up of unit cubes
Figure 1
Surface area
Large cuboid portion =2 x (6 x 2 ) + (6 x 4) + 2 x(4 x 2) + 16
= 24 + 24 + 16 + 16 = 80 unit square
Small cuboid portion = (4 x 2) + (2 x 2) + (4 x 2) = 8 + 4 + 8 = 20
Total surface area = 80 + 20 = 100 unit square
Volume
Small cuboid = 4 x 2 = 8
Large cuboid = 6 x 4 x 2 = 48 cube unit
Total volume = 48 + 8 = 56 cubs units
Figure 2
Surface area
Total surface area =24 + 18 + 36 + 20 + 6 = 104 unit square
Volume
Small cuboid = 6 x 2 = 12
Large cuboid = 6 x 4 x 2 = 48 unit square
Total volume = 48 + 12 = 60 cube units
Figure 3
Surface area
Total surface area = 48 + 36 + 24 = 108 square units
Volume
Total volume = 6 x 4 x 3 = 72 cube units
Jesse ate 100 donuts in five days. Each day 6 more donuts than the day before. How many donuts did she eat each day?
Answer:
She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day
Step-by-step explanation:
Over the course of 5 days, she ate 100 donuts, each day eating 6 more than the day before. Let n be the number of donuts she ate on the first day, then she ate...
Day 1: n donuts
Day 2: n + 6 donuts
Day 3: n + 12 donuts
Day 4: n + 18 donuts
Day 5: n + 24 donuts
Add the days together and get the equation...
n + (n + 6) + (n + 12) + (n + 18) + (n + 24) = 100
Now combine like terms and solve for n...
5n + 60 = 100
5n = 40
n = 8
She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day
Which graph represents the same relation as the rule y = 2x, for all real numbers x?
Answer:
C is your answer...
Answer:
Its C
Step-by-step explanation:
Edge 2020
4/5n = 2/3 . n = ___?
Answer:
Step-by-step explanation:
Divide 2/3 by 4/5
Which is done by K(eep)C(hange)F(lip)
2/3 * 5/4 = 10/12 = 5/6
N= 5/6
Here is how we do it:
First, we must simplify 4/5n to 4n/5.
Then we simplify: [tex]2/3n[/tex] to get [tex]2n/3.[/tex]
After we multiply both sides by the number 15.
[tex]12n = 10n[/tex]
Alright, now let's move them all together.
It would be: [tex]12n - 10n = 0[/tex]
Our last step is to simplify 12n - 10n to 2n.
Then we receive: [tex]2n = 0[/tex]
After we divide both sides by 2.
Our final answer is: [tex]n = 0[/tex]
the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large as the first prism
Answer:
The volume of the similar prism is [tex]336\ cm^{3}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so
[tex]z^{3}=\frac{x}{y}[/tex]
In this problem we have
[tex]z=2[/tex] -----> the scale factor
[tex]y=42\ cm^{3}[/tex]
substitute and solve for x
[tex]x=42(2^{3})=336\ cm^{3}[/tex]
The radius of the containers base is 5 centimeters and the height of the container is 18 centimeters. What is the volume of the nadyas container rounded to the nearest cubic centimeter
The volume of Nadya's container, calculated using the formula for the volume of a cylinder and rounded to the nearest cubic centimeter, is 1414 cubic centimeters.
Explanation:The volume of Nadya's container can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where V represents volume, r represents the radius of the base, and h represents the height. Given that the radius of the container's base is 5 centimeters and the height of the container is 18 centimeters, substituting these values into the formula gives you V = π(5)²(18) = 1413.72 cubic centimeters. Rounded to the nearest cubic centimeter, the volume is 1414 cubic centimeters.
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Solve for W.
4w-4+2(5w+8)=-2(w+3)
Simplify your answer as much as possible.
Answer:
w = [tex]-\frac{9}{8}[/tex]
Step-by-step explanation:
The question is [tex]4w-4+2(5w+8)=-2(w+3)[/tex]
We can first use distributive property to simplify, the distributive property is [tex]a(b+c)=ab+ac[/tex]
Thus we have:
[tex]4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6[/tex]
Now we combine like terms and simplify to get the final answer for w.
[tex]4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}[/tex]
Thus, w = [tex]-\frac{9}{8}[/tex]
Answer:
1.125
Step-by-step explanation:
we first open the brackets by multiplying every term inside the brackets by 2
We get the following equation: 4w-4+10w+16=-2w-6
collecting like terms together we get 4w+10w+2w=-6-16+4
16w=-18
dividing both sides by 16 we get w=18/16
=9/8
= 1 1/8 or 1.125
Please help with this.........
Answer:
M(-a, b)Step-by-step explanation:
Use the formula of a midpoint:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
We have the points P(-2a, 0) and Q(0, 2b). Substitute:
[tex]x=\dfrac{-2a+0}{2}=\dfrac{-2a}{2}=-a\\\\y=\dfrac{0+2b}{2}=\dfrac{2b}{2}=b[/tex]
The position function of a particle in rectilinear motion is given by s(t) s(t) = t3 - 9t2 + 24t + 1 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer.
Answer:
[tex]s = 21\ ft\\\\a = -6\ \frac{ft}{s^2}[/tex]
Step-by-step explanation:
To find the changes in the slope of the function s(t) we find its derivative
[tex]\frac{ds(t)}{dt} = 3t^2 - 18t +24\\[/tex]
Now we make [tex]\frac{ds(t)}{dt} = 0[/tex]
[tex]3t^2 - 18t +24 = 0[/tex]
[tex]3t^2 - 18t +24\\\\3(t^2-6t + 8)\\\\3(t-4)(t-2)\\\\t_1 =4\\t_2=2\\[/tex]
The particle changes direction for the first time at t = 2 sec
The position at t = 2 sec is:
[tex]s(t=2) = (2)^3 - 9(2)^2 + 24(2) + 1\\\\\s(2) = 21\ ft[/tex]
The acceleration after t = 2 sec is the second derivative of s(t), evaluated at t = 2:
[tex]\frac{d^2s(t)}{d^2t} = 6t -18\\\\\frac{d^2s(t)}{d^2t}(2) = 6(2) -18\\\\ a = 12-18\\\\a = -6\ \frac{ft}{s^2}[/tex]
Answer:
The position is 21 feet
The acceleration is -6 ft/sec²
Step-by-step explanation:
∵ s(t) = t³ - 9t² + 24t + 1
- where s is the displacement in feet and t is the time in second
∵ v(t) = ds/dt ⇒ velocity is the differentiation of s(t)
∵ a(t) = d²s/dt² = dv/dt ⇒ acceleration is the differentiation of v(t)
∴ v(t) = 3t² - 18t + 24
∵ When the particle reverses means v(t) = 0
∴ 3t² - 18t + 24 = 0 ⇒ ÷ 3
∴ t² - 6t + 8 = 0
∴ (t - 2)(t - 4) = 0
∴ t - 2 = 0 ⇒ t = 2 seconds
∴ t - 4 = 0 ⇒ t = 4 seconds
- That means the particle will change its direction first after 2 seconds
and again after 4 seconds
∵ a(t) = dv/dt
∴ a(t) = 6t - 18
∵ t = 2
∴ a(2) = 6(2) - 18 = 12 - 18 = -6 ft/sec²
∵ s(t) = t³ - 9t² + 24t + 1
∴ s(2) = 2³ - 9(2)² + 24(2) + 1 = 21 feet
Choose the correct graph to fit the inequality
y<16x ^2
Answer:
The solution in the attached figure
Step-by-step explanation:
we have
[tex]y<16x^{2}[/tex]
we know that
The solution of the inequality is the shaded area below the dashed line of the parabola
The equation of the dashed line is the vertical parabola [tex]y=16x^{2}[/tex]
therefore
The solution in the attached figure
The graph that represents the inequality is in the image at the end.
Which graph represents the inequality?
Here we have the inequality:
y < 16x²
This is a parabola that opens upwards, with a vertex at the point (0, 0).
The area shaded must be the area below the parabola, and because we have the symbol "<" we must graph the parabola with a dashed line instead of a solid line.
With this in mind, we can see that the correct option is the third graph.
On January 1, 2018, Corvallis Carnivals borrows $25,000 to purchase a delivery truck by agreeing to a 6%, three-year loan with the bank. Payments of $760.55 are due at the end of each month, with the first installment due on January 31, 2018. Record the issuance of the note payable and the first monthly payment.
To record the issuance of the note payable and the first monthly payment, create a debit entry for the delivery truck and credit entry for the notes payable. Then, debit the notes payable to reduce the amount owed and credit the cash for the same amount to show the outflow of cash.
Explanation:To record the issuance of the note payable and the first monthly payment, we will first create an entry to record the note payable on January 1, 2018. We will debit the Delivery Truck account for $25,000 and credit the Notes Payable account for the same amount. This represents the borrowing of the $25,000.
Next, we will record the first monthly payment on January 31, 2018. We will debit the Notes Payable account for $760.55 to reduce the amount owed, and credit the Cash account for the same amount to show the outflow of cash.
A video game console requires a 140 degree span in a room. The angles on each side are congruent. Write and solve an equation to determine the measure of each angle.
Answer:
The measure of each angle is [tex]20\°[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x------> the angle on each side
we know that
[tex]x\°+140\°+x\°=180\°[/tex]
solve for x
[tex]2x\°=180\°-140\°[/tex]
[tex]2x\°=40\°[/tex]
[tex]x=20\°[/tex]
the slope of a graphed line is 5 and the y-intercept is (0,3/4), what is the slope-intercept equation of the line?
ANSWER
[tex]A. \: \: y = 5x + \frac{3}{4} [/tex]
EXPLANATION
The slope-intercept form of an equation is given by;
[tex]y = mx + c[/tex]
wherever m is the slope and c is y-value of the y-intercept.
It was given that the slope is 5.
This implies that,
[tex] m = 5[/tex]
The y-intercept is
[tex](0, \frac{3}{4})[/tex]
This means that,
[tex]c = \frac{3}{4} [/tex]
We plug in the values to obtain,
[tex]y = 5x + \frac{3}{4} [/tex]
The correct choice is A.
50 POINTS PLEASE HELP ME!! PLEASE HURRY ASAP!!!!!
Solve for x
x = 4.8
Step-by-step explanation:With angles like this these ones, the 2 lines equal the same amount. To find the length of one of the lines, you multiply the given lengths.
So, for the first angle, the line with both angles has a 4 and 6, so the length of the line is 24.
Since the lines are equal, to find the length of x you take 24 and divide it by 5, which gives you 4.8, or 24/5.
This means x = 4.8.
To double check, you can simply multiply 4 and 6, then 5 and 4.8. If the answers are the same, it is correct.
This applies to all 3 angles shown.
Hope this helps!
Visual Explanation:
John has 16 boxes of apples. Each box holds 12 apples. If 7 of the boxes are full, and 9 of the boxes are half full, how many apples does John have?
Answer:
138 apples
Step-by-step explanation:
7x12=84
9x6=54
84+54=138
56 less than the quotient of a number and 4 is -52. What is the value of the unknown number?
Answer:
16
Step-by-step explanation:
The quotient of a number (x) and 4 is written x/4. 56 less than that is ...
(x/4) -56
The problem statement tells us the value of this is -52, so we have ...
(x/4) -56 = -52
Add 56 to both sides of this equation, and you get ...
x/4 = 4
Multiply both sides of this equation by 4 and you get ...
x = 16
The value of the unknown number is 16.
what is
[tex]( \sqrt{x + 8} ) \: \: + \: \: ( \sqrt{x + 8)} [/tex]
please i need the answer. thank you
Answer:
2*sqrt(x + 8)
Step-by-step explanation:
You could use the distributive property to answer your question
[sqrt(x + 8) + sqrt(x + 8)]
=sqrt(x + 8) [1 + 1]
=2*sqrt(x + 8)
Will mark brainliest if right...
Given two functions
j(x)=−4x+2
k(x)=5+4x
What is the function rule for (kj)(x)?
A. (kj)(x)=−16x2−12x+10
B. (kj)(x)=16x2+12x−10
C. (kj)(x)=16x2−12x−10
D. (kj)(x)=−16x2+12x+10
Answer:
(kj)(x)= -16x^2- 12x +10
Step-by-step explanation:
Answer:
Option A is correct
[tex](kj)(x)=-16x^2-12x+10[/tex]
Step-by-step explanation:
Given the functions are as follows:
[tex]j(x) = -4x+2[/tex]
[tex]k(x) = 5+4x[/tex]
We have to find (kj)(x).
Consider,
[tex](kj)(x) = k(x)j(x)[/tex]
Substitute the given values we have;
[tex](kj)(x) = (5+4x)(-4x+2)[/tex]
Using distributive property, [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
[tex](kj)(x)=-20x+10-16x^2+8x[/tex]
Combine like terms;
[tex](kj)(x)=-12x+10-16x^2[/tex]
or
[tex](kj)(x)=-16x^2-12x+10[/tex]
Therefore, the function rule for (kj)(x) is, [tex]-16x^2-12x+10[/tex]
This reaction is an example of what type of reaction? NH3(g) + H2O(l) ? NH4OH(aq) A. a synthesis reaction B. a hydrolysis reaction C. an electrolytic reaction D. a decomposition reaction
Solve the linear equation
[tex]4^{x+7} = 8^{2x-3}[/tex]
Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
x = 5.75
The function rule of a certain function is y = -3x + 1. If the input is 7, what is the output?
The output is -20 to this question
The output of the given linear function at x = 7 is -20.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given function,
y = -3x + 1
Here x is the input and y is the output.
Put x = 7
y = -3 ×7 + 1
y = -21 + 1 = -20
Hence "The output of the given linear function at x = 7 is -20".
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