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Nata [24]
3 years ago
9

Savannah is painting a striped background for a mural on a wall that is 15 yards long. She wants a total of 96 stripes that are

all the same width. Which calculation should Savannah use to decide how wide to make each stripe?
Mathematics
2 answers:
klio [65]3 years ago
7 0

Answer:

Making all of the stripes the same with means that we divide 15 yards by the 96 stripes:

15/96 = 0.15625 yards per stripe

There are 3 feet in every yard; this means that each stripe would be

0.15625(3) = 0.46875 foot

There are 12 inches in every foot; this means that each stripe would be

0.46875(12) = 5.625 inches

This is 5 5/8 inches per stripe.

vfiekz [6]3 years ago
3 0

Answer:

She should divide the length of the wall by the number of strips.

Step-by-step explanation:

We want each of our 96 stripes to be just wide enough so that all 96 of them cover the 15 yards long mural with no spaces left. To find the necessary width w of the stripes, we just need to divide the length of the wall by the number of stripes:

w=\frac{15yards}{96} =0.15625\:yards

This gives a width of 0.15625 yards for each stripe.

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Question 1<br> Find the area of the shaded region.<br> 18 ft<br> 15 ft<br> 8 ft<br> A = ft?
qwelly [4]

Answer:

<h2>135 ft²</h2><h2 />

Step-by-step explanation:

see attached image

<u>shaded area = total area (1)  - unshaded triangular area (2)</u>

1.  area of a trapezoid = (a + b) * h/2

   where a = 8,  b = 18,  h = 15

   Area of trapezoid = (8 + 18) * 15/2 = 195 ft²

2.  Area of unshaded triangle = 1/2 (8) 15 = 60 ft²

shaded area =  195 - 60 = 135 ft²

4 0
3 years ago
The germination rate is the rate at which plants begin to grow after the seed is planted.
chubhunter [2.5K]

Answer:

z=\frac{0.467 -0.9}{\sqrt{\frac{0.9(1-0.9)}{15}}}=-5.59  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%

Step-by-step explanation:

Data given and notation

n=15 represent the random sample taken

X=7 represent the number of seeds germinated

\hat p=\frac{7}{15}=0.467 estimated proportion of seeds germinated

p_o=0.9 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of germinated seeds is less than 0.9 or 90%.:  

Null hypothesis:p\geq 0.9  

Alternative hypothesis:p < 0.9  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.467 -0.9}{\sqrt{\frac{0.9(1-0.9)}{15}}}=-5.59  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%

4 0
3 years ago
How to answer this ?
inessss [21]

Answer:

Each term is separated by an addition or subtraction sign.

Coefficients are numbers in front of a variable (letter).

Constants are numbers with nothing else.

so you get

2  |  2  |  3              |  1

6  |  6  |  0.2, -1, 8  |   1/2

3  |  -3 |   -              |  -

Step-by-step explanation:

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Answer:

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