An amusement park reduced its admission price to $15.50 per day, but now charges $1.50 per ride. Justin has $26 to spend on admission and rides.

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Answer:

The answer is 260.

Step-by-step explanation:

15.6/.06=260.

Answer:

Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.

Answer:

$2 per round of potatoes

Step-by-step explanation:

$10/5 pounds of potatoes= $2

Answer: 950. 042553

Step-by-step explanation: Calculator

Answer:

2x+8 and 2(x+4)+4 are not equivalent expressions

Step-by-step explanation:

Firs we need to expand 2(x+4)+4 using the distributive law as shown;

2(x+4)+4

=2(x) + 2(4) + 4

= 2x + 8 + 4

= 2x + 12

Since the result is not equivalent to 2x+8 hence 2x+8 and 2(x+4)+4 are not equivalent expressions

Answer:

d.) 1/12

Step-by-step explanation:

As it is equal to 0.083 and it is nearest to zero

Answer:

d. 1/12

Step-by-step explanation:

Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.

Answer:

Step-by-step explanation:

Answer:

A family buys 6 tickets to a show. they also pay a $3 parking fee. they spend $27 total.

Answer:

A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:

Answer: yes the ratios 1:9 and 5:45 are equivalent.

Step-by-step explanation:

1:9*5:5=5:45

U got any more math questions that I can answer? I’m really bored and I have to stay busy!

Answer:

Step-by-step explanation:

I don't think so

Answer:

Step-by-step explanation:

f ''(x) = 2x + 5e^x

f '(x) =  x² + 5e^x + D

f (x) = 1/3 x³ + 5e^x + C

The answer for:  The diagram shows the percentages of students who wear glasses in Lynbrook High School. If 2,500 students attend Lynbrook High School, how many students do not wear glasses?

Is 2,250 Students

Do not wear Glasses

Step-by-step explanation:

Step-by-step explanation:

Exact Form:

2485"

Decimal Form:

49.6"

Mixed Number Form:

4935"

Answer:

20 π

Step-by-step explanation:

The surface area of a cylinder is made up of 2 circles and its side.

To find the circles' areas, use the area formula for a circle: A = π.

Since our radius is 2 yd, we can substitute r = 2 into this formula.

A = π = 4π

Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.

Now we need to find the surface area of the side.

If we flatten it out, we can see that the side is actually a curled up rectangle.

The length is the circumference of the circle and the width is the height of the cylinder.

To find the circumference, use the circumference formula for a circle: C = 2πr.

Substitute r = 2 into the formula.

C = 2π2 = 4π

Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.

l = 4π

w = 3

A = lw = 4π * 3 = 12π

Finally, we can add the areas of the circles and the side to get the total surface area.

8π + 12π  = 20π

And that is your answer!

Please mark as Brainliest! :)

Answer:

The object falls 384 feet in 4 seconds.

Step-by-step explanation:

This question can be solved by proportions, as the measures are directly proportional, using a rule of three.

An object falls 288 feet in 3 seconds. Find the distance the object falls in 4 seconds.

288 feet - 3 seconds

x feet - 4 seconds

Applying cross multiplication

[tex]3x = 288*4[/tex]

[tex]x = \frac{288*4}{3}[/tex]

[tex]x = 384[/tex]

The object falls 384 feet in 4 seconds.

Answer:

Step-by-step explanation:

B beacuse I did this before..

Answer:

Given

a.

Volume of the half-sphere:

b.

Volume of the cylinder:

c.

Volume of the figure:

Answer:

16. 150ft

17. 120ft

18. 14sq in

19. 12ft

20. 100miles

21. 87ft

22. 24in        23. 31in

Step-by-step explanation:

brainliest?

Answer:

83.54 in²

Step-by-step explanation:

Brₐinliest plz

Answer:multiply each side to each other

Step-by-step explanation:yea

Answer:

54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2

Step-by-step explanation:

Equation for a triangle is A = (1/2) * b * h

Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2

Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2

Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2

Answer:

Step-by-step explanation:

7.18/9 divide 9 and that would equal 2/1 so its 2

8.24/40 divide 8 and that would equal 3/5

9.7/21 divide 7 and that would equal 1/3

10.9/1 stays the same so its 9

9514 1404 393

Answer:

  25.6

Step-by-step explanation:

The sum of opposite sides of the circumscribing quadrilateral is half the perimeter. Here, the opposite sides TV and WX both are shown, so the perimeter is ...

  P = 2(TV +WX) = 2(4.5 +8.3) = 2(12.8) = 25.6 . . . units

The perimeter of the quadrilateral is 25.6 units.

Answer:

4x+3=83

    -3:-3

-----------------

4x=80

x=20

Step-by-step explanation:

Answer:

fanboys

Step-by-step explanation:

for

and

nor

but

or

yet

so

Answer:

$146

Step-by-step explanation:

1752/12 = 146