What conversion factor can be used to convert the number of blocks to the weight of the blocks, in pounds?

The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. The follow

kipiarov [429]

Answer:

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

Step-by-step explanation:

The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. Test if the mean cost has increased.

At the null hypothesis, we test if the mean cost is still the same, that is:

$H_0: \mu = 13252$

At the alternative hypothesis, we test if the mean cost has increased, that is:

$H_1: \mu > 13252$

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

13252 is tested at the null hypothesis:

This means that $\mu = 13252$

The following year, a random sample of 20 two-year institutions had a mean of $15,560 and a standard deviation of $3500.

This means that $n = 20, X = 15560, s = 3500$

Value of the test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{15560 - 13252}{\frac{3500}{\sqrt{20}}}$

$t = 2.95$

P-value of the test and decision:

The p-value of the test is found using a t-score calculator, with a right-tailed test, with 20-1 = 19 degrees of freedom and t = 2.95. Thus, the p-value of the test is 0.0041.

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

7 0

3 years ago

8/x2+6x times 2x product

sergejj [24]

Answer:

4 • (3x4 + 2)

———————

x2

Step-by-step explanation:

Step 1 :

8

Simplify ——

x2

Equation at the end of step 1 :

8

—— + 12x2

x2

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

12x2 12x2 • x2

12x2 = ———— = —————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

8 + 12x2 • x2 12x4 + 8

————————————— = ————————

x2 x2

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

12x4 + 8 = 4 • (3x4 + 2)

Polynomial Roots Calculator :

3.2 Find roots (zeroes) of : F(x) = 3x4 + 2

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 2.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1 ,2

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 5.00

-1 3 -0.33 2.04

-2 1 -2.00 50.00

-2 3 -0.67 2.59

1 1 1.00 5.00

1 3 0.33 2.04

2 1 2.00 50.00

2 3 0.67 2.59

Polynomial Roots Calculator found no rational roots

Final result :

4 • (3x4 + 2)

—————————————

x2

Processing ends successfully

plz mark me as brainliest :)

8 0

3 years ago

the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards

Bas_tet [7]

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)

6 0

2 years ago

Looking for someone who can take a look at this question for me:

In-s [12.5K]

There are
7 red balls
8 red balls
1 yellow ball
Hope this helps have a good day! :)

4 0

2 years ago

If MP is a perpendicular bisector to LN, find each value (picture attached)

solong [7]

Answer:

x=4, MN= 37, LM= 37, y=7.

Step-by-step explanation:

If MP is a perpendicular bisector to LN, then NP and LP are equivalent.

(Solve for y)

2y+2= 16

(Move the +2 to the right side of the equation)

2y= 14

(Divide both sides by 2 to isolate the variable)

y=7

To find x and the measure of MN and LM, solve for x in the following equation:

7x+9 = 11x-7

(Move 7x to the right side of the equation)

9 = 4x-7

(Move -7 to the right side of the equation.)

16= 4x

(Divide both sides by 4 to isolate the variable.)

4= x

Plug x back into both equations to get the measure of MN and ML

MN=7(4)+9

MN= 28+9

MN= 37

LM= 11(4)-7

LM= 44-7

LM= 37

I hope this helps!

3 0

2 years ago

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