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3 years ago

ASAP

Mathematics

1 answer:

emmasim [6.3K]3 years ago

5 0

Answer:

12 units

Step-by-step explanation:

The quickest way to go about this is;

From the figure, when you count the number of full square boxes inside the rectangle, they add up to 7 full square boxes of 1 unit by 1 unit. And the number of half square boxes inside the rectangle add up to 10 which is equal to 5 full square boxes.

So the total number of full square boxes of 1 unit by 1 unit inside the rectangle add up to 12 full square boxes. The area of each full square box is 1 * 1 = 1 units, therefore the area of the rectangle is equal to 1 * 12 = 12 units.

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A retail clothing store offers customers an opportunity to open up a credit card during checkout. One location of the retail clo

svetoff [14.1K]

A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.

Now, the total number of credit cards that are opened at both the location together will be,

Total number of credit cards = A(t) + B(t)

= 20 + 4t + 25 - t

= 20 + 25 + 4t - t

= 45 + 3t

Hence, the total amount of credit cards opened at the two locations is given as 45+3t.

Learn more about Function here:

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3 0

2 years ago

Evaluate 3z3z3, z when z=9z=9z, equals, 9.

gtnhenbr [62]

Step-by-step explanation:

The answer is 108. Because you multiply 3 by 9. which is 27 then you multiply 27 by 4 because thats how many 3zs there are.

5 0

3 years ago

Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th

Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 21-1 = 20$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have $T = 2.528$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{0.40}{\sqrt{21}} = 0.0873$

Now, we multiply T and s

$M = 2.528*0.0873 = 0.2207$

Then

The lower end of the interval is the mean subtracted by M. So:

$L = 3.27 - 0.2207 = 3.0493$

The upper end of the interval is the mean added to M. So:

$LCL = 3.27 + 0.2207 = 3.4907$

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0

3 years ago

Solve for y in -8×+4y=24

s344n2d4d5 [400]

Factor out the common term 4

-4(2x - y) = 24

Divide both sides by -4

2x-y= - 24/4

Simplify24/4 to 6

2x -y = -6

Subtract 2x from both sides

-y = -6 - 2x

Multiply both sides by -1

y = 6 + 2x

5 0

3 years ago

I really need help rn T_T plz help me out!

pshichka [43]

Answers:

The lengths of sides PQ and RS are <u> 13 </u>
The lengths of sides QR and SP are <u> </u><u>20 </u>

This is a 13 by 20 rectangle.

============================================================

Explanation:

Refer to the drawing below.

Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.

We're told that RS = SP - 7 which is the same as saying RS = x-7

We also know that PQ = x-7 as well because PQ is opposite side RS.

In short, we have these four sides in terms of x

PQ = x-7
QR = x
RS = x-7
SP = x

as shown in the drawing. The four sides add up to the perimeter of 66.

PQ+QR+RS+SP = perimeter

PQ+QR+RS+SP = 66

(x-7)+x+(x-7)+x = 66

4x-14 = 66

4x = 66+14

4x = 80

x = 80/4

x = 20

Use this x value to find the unknown side lengths.

PQ = x-7 = 20-7 = 13
QR = x = 20
RS = x-7 = 20-7 = 13
SP = x = 20

In short, this is a 13 by 20 rectangle.

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

Check:

perimeter = side1+side2+side3+side4

perimeter = PQ+QR+RS+SP

perimeter = 13+20+13+20

perimeter = 33+33

perimeter = 66

The answer is confirmed.

4 0

3 years ago