In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time that
year, what was the total number of college students?
Round your answer to the nearest million.

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

the answer is 4 of it will help you

Answer:

461 521

Step-by-step explanation:

use calculator ‍♂️

The probability that the sample's mean length is greater than 6.3 inches is0.8446.

Here, we have,

Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event.

It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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Answer:

28.24

Step-by-step explanation:

25 + 32/10 + 4/100

take lcm of the denominator

lcm = 100

25*100 + 32*10 +4*1/100

2500 + 320 +4/100

2824/100

28.24

Find the value of (1 point)

Answer D .28.24

Answer:

\(\frac{27}{64} x^{3} y^{3} cm^{3}\)

Step-by-step explanation:

0.75 means  75/100 which is equal to 3/4.

Cube of 3/4 is \(\frac{3^{3} }{4^{3} }\)= 27/64

x cube means x will be multiplied with itself thrice, which is \(x^{3}\)and following the same logic, y cube means y will be multiplied with itself three times which is \(y^{3}\). The unit \(cm^{3}\)at the last is very important, because, without it, the value does not show that this value is used to represent a volume so we write the units after writing the value.

The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

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Answer:

k k hhi i i kjh hi hi pi i i hi hi kp i pi hj

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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The line is JK, and the midpoint is M.

The value of Jk is 48.

MK is (5x+5).

We can write in this way,

Answer:

  603.2 cm³

Step-by-step explanation:

Use the formula for the volume of a cylinder. Fill in the given values and do the arithmetic.

  V = πr²h . . . . . radius r, height h

  V = π(4 cm)²(12 cm) = 192π cm³ ≈ 603.2 cm³

The volume of the cylinder is about 603.2 cm³.

__

Additional comment

Sometimes, you're asked to use 3.14 for π. If you do that, you get a volume of 602.9 cm³. When you're not given a value for π, you should use the "pi button" on your calculator.

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

Answer and work down below. Let me know if you have questions

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The solution to the equation is x = -4.6.

We must first isolate the variable x on one side of the equation before simplifying both sides.

Taking the left side first:

-2x - 10

To eliminate the fraction on the right side, multiply by 3:

-6x - 30

Let's now condense the right side:

2/3(x+1)

2/3x + 2/3

We now have:

-6x - 30 = 2/3x + 2/3

By multiplying both sides by the least common multiple of the denominators, which is 3, we may first eliminate the fraction and then isolate x:

-18x - 90 = 2x + 2

Next, on each side, we'll combine similar terms:

-18x - 2x = 2 + 90

-20x = 92

We'll finally find the value of x by multiplying both sides by -20:

x = -4.6

Hence, the answer to the equation is x = -4.6.

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Answer:

it is 8

Step-by-step explanation:

I'm just smart when it comes to maths

Answer:

answer =+8

Step-by-step explanation:

or,-5+13

or,+8

Answer:

Step-by-step explanation:

The area of a square is given by the formula A = s^2, where A is the area and s is the length of a side of the square.

Let y be the length of the side of the small square.

Then, the area of the small square is y^2 cm^2.

According to the question, the area of the small square is 1/25 of the area of the large square.

Thus, the area of the large square is (25)(y^2) cm^2.

The length of a side of the large square is given by the formula s = √A.

Therefore, the length of a side of the large square is √(25y^2) = 5y cm.

Since the length of a side of a cube is equal to its height, width, and length, the dimensions of the cube are 5y cm x 5y cm x 5y cm = (5y)^3 cm^3.

Therefore, y = 40/5 = 8.

Thus, the dimensions of the cube are 40 cm x 40 cm x 40 cm.

Answer:

#4

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

All you need to do is figure out the missing angles. We know that the three angles in a triangle add up to 180 degrees.

For angle B in ABC, 180-52-39= 89. So angle B = 89 degrees.

For angle D in DEF, 180-39-89= 52. So angle D = 52 degrees.

Then see if the order of the angles match up.

DEF = 52 degrees, 89 degrees, 39 degrees

ABC = 52 degrees, 89 degrees, 39 degrees

The order of the same angles match, so triangle DEF and triangle ABC are equal.

Answer:

Yes, triangle DEF is similar to triangle ABC because their corresponding angles are the same size.

Step-by-step explanation:

Interior angles of a triangle sum to 180°.

⇒ ∠A + ∠B + ∠C = 180°

⇒ 52° + ∠B + 39° = 180°

⇒ ∠B = 89°

⇒ ∠D + ∠E + ∠F = 180°

⇒ ∠D + 89° + 39° = 180°

⇒ ∠D = 52°

Two triangles are similar if their corresponding angles are the same size.

If ΔDEF ~ ΔABC then:

From inspection of the given diagram:

Therefore, the triangles are similar because their corresponding angles are the same size.

Since our test statistics ( 8.96 ) is less than the critical value ( 29.141 ),

there is no strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 millimeters.

Given that;

H₀ : σ = 0.02

H₁ : σ > 0.02

The test statistics is;

X² = ( n-1 )s² / σ²  = ( 15 - 1)(0.016)² / (0.02)²

= 0.003584 / 0.0004

= 8.96

degree of freedom

df = n - 1 = 15 - 1 = 14

For right tailed test, critical value at 0.01 level of significance is 29.141.

Now since our test statistics ( 8.96 ) is less than the critical value (29.141 ),

Therefore, there is no strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 millimeters.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

there are a lot of typos and missing info in your problem and answer option definition.

based on what I understood the answer should be

"the second answer option".

this is where A and B have an arc angle (or inner angle at the center of the circle) of 60°.

one could see the 3rd answer to be right too, as the angle between A and B at Y is also 60°.

but I don't think this is really the meaning of this question here.

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:21 to each of his 3 friends

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

To solve, first, plugin each value for its variable. This makes the original equation, T=64-6(3). Then solve the new equation using PEMDAS.

Multiply 6 and 3, T=64-18. Next, subtract 18 from 64, T=46.

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

its answer is 3rd part

ABC-FED

Hey buddy I am here to help!

angle ABC = angle FED

Hope this answer helps!

Plz mark me brainliest!

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)