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3 years ago

Answer part A and part B

Mathematics

1 answer:

vredina [299]3 years ago

5 0

Answer: Part A: a square pyramid Part B: 84 square feet

Step-by-step explanation:

Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.

Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be $\frac{6*4}{2}=12$ square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.

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In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal t

sp2606 [1]

Answer:

Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No ;

Step-by-step explanation:

n = 1000

x = 545

Phat = x / n = 545/1000 = 0.545

H0: p ≤ 0.5

H1: μ > 0.5

The test statistic :

(phat - p0) ÷ √(p(1 - P0) / n)

Test statistic :

(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)

0.045 / 0.0158113

Test statistic = 2.846

α = 0.01

Decison :

Reject H0 ; if Pvalue < α

Using the Pvalue from Test statistic (Z) calculator :

Pvalue = 0.002214

With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular

7 0

2 years ago

How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?

Ket [755]

The amount invested is $ 470

<h3><u>Solution:</u></h3>

Given that , we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested. That is, we need to find the principal sum

Let us use the simple interest formula

<em><u>The simple interest is given as:</u></em>

$\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}$

Here, simple interest = $ 131.60

Rate of interest = 4 %

Number of years = 7

principal = ?

Substituting the values in formula, we get

$\begin{array}{l}{131.6=\frac{\text { principal } \times 4 \times 7}{100}} \\\\ {131.6 \times 100=\text { principal } \times 4 \times 7} \\\\ {13160=\text {principal } \times 28} \\\\ {\text {Principal }=470}\end{array}$

Thus the amount invested is $ 470

4 0

3 years ago

Write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.

wariber [46]

Answer:

Step-by-step explanation:

<h3>Convert kilometer to miles:</h3>

1 km = 0.62 mi

So, to convert 6 km to mi, multiply 6 by 0.62.

6km = 6* 0.62

= 3.72 mi

<h3>Convert liter to gallon:</h3>

1 L = 0.26 gal

To convert 2.5 L to gallon, multiply 2.5 by 0.26.

2.5 L = 2.5 * 0.26

= 0.65 gal

<h3>Convert pound to kilogram:</h3>

1 lb = 0.45 Kg

To convert 90 lb to Kg, multiply 90 by 0.45.

90 lb = 90 *0.45

= 40.5 Kg

3 0

2 years ago

Can someone tell me what’s going on here

lora16 [44]

Answer:

c = 105 degres

Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

8 0

3 years ago

Factor 15 + 50.<br> 5(10 + 3)<br> 5(3 + 10)<br> 3(5 + 25)<br> 10(5 + 5)

Agata [3.3K]

Answer:

Step-by-step explanation:

So we have the expression:

$15+50$