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4 years ago

Damaris is replacing the carpet in her living room. How much carpet will she need?

Mathematics

1 answer:

Elodia [21]4 years ago

3 0

Answer:

She will need 41.91 yards of carpet

Step-by-step explanation:

A= lw

A= 3.3×12.7

A= 41.91

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HELP?! PLEASE!! SUPER DESPERATE!! How many gallons of a 60% antifreeze solution must be mixed with a 60 gallons of 15% antifreez

Ket [755]

bellamore

Middle SchoolMathematics 5+3 pts

x (.60) + 60 (.15) = (x+60) .50

distribute

.60x +9 = .5x +30

subtract .5x from each side

.1x +9 = 30

subtract 9 from each side

.1x = 21

divide by .1

x = 210

You will need 210 gallons of 60% antifreeze

8 0

3 years ago

A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti

Gre4nikov [31]

Answer:

a. .92

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The lower bound is the point estimate $\pi$ subtracted by the margin of error.

The upper bound is the point estimate $\pi$ added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

$\pi = \frac{0.372 + 0.458}{2} = 0.415$

Sample of 400, which means that $n = 400$

Margin of error is the estimate subtracted by the lower bound. So $M = 0.415 - 0.372 = 0.043$

We have to find z.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.043 = z\sqrt{\frac{0.415*0.585}{400}}$

$z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}$

$z = 1.745$

$z = 1.745$ has a pvalue of 0.96.

This means that:

$1 - \frac{\alpha}{2} = 0.96$

$\frac{\alpha}{2} = 1 - 0.96$

$\frac{\alpha}{2} = 0.04$

$\alpha = 0.08$

Confidence level:

$1 - \alpha = 1 - 0.08 = 0.92$

So the correct answer is:

a. .92

7 0

3 years ago

Polynomials - Guided Notes 11.2

lozanna [386]

Answer:

1. 3x + 2 - First degree

2. 4x3 + 17x - 5 - Third degree

3. 13x" + 5xn-2 - Second degree

4. 0.55x2 + 0.7x - Second degree

5. 7x3 + 10x + 15 - Third degree

Step-by-step explanation:

The degree of a polynomial is given by the highest power of the given variable (x in this case) in the polynomial. All the elements are considered in selecting the highest power of x in the polynomials.

Considering all; the highest degree of x in the polynomials given is 3 while the lowest is 1 hence we have polynomials ranging from the first to third degrees.

3 0

3 years ago

No entiendo ayudaaaa

hram777 [196]

This is a pythagorean theorem problem therefore a^2+b^2=c^2
a=8, b=?, c=10
8^2+b^2=10^2
64+b^2=100
100-64=56
square root of b^2=square root of 56
b=2 rad14
2 rad14 +4=
2 (rad14 + 1)= ANSWER

4 0

3 years ago

Write the equation in point slope form of the line that passes through the given points (3,1) m=2

iren2701 [21]

<u>Answer:</u>

The equation is y = 2x - 5

<u>Solution:</u>

Here, x= 3; y= 1

We know the slope of an equation is given by y = mx+c

The value of m which is equal to 3 is given in the question.

Putting the value of m in the slope intercept form we get,

y = 2x+c