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3 years ago

Is 80 a multiple of 4?

2 answers:

7 0

Generally, you can tell if something is a multiple of 4 if it is a multiple of the last two digits, but that works in larger numbers (for example, 2304, you know is a multiple of 4 because the 04 is.)

But, yes it is.

80/4=20

Elis [28]3 years ago

7 0

Yes here look.....

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80

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Forty-five percent of the 300 shoppers in a supermarket bought milk. How many of the shoppers in a supermarket bought milk?

Orlov [11]

Turn 45% into a decimal. You get 0.45, because you move the decimal two places to the left.

Then multiply 300*0.45
You get 135

135 Shoppers in the supermarket bought milk.

7 0

3 years ago

⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden

fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = $\frac{354}{1219}$

n = sample of US adults = 1291

p = population proportion of adults

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

significance level are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ]

= [ $\frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ , $\frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ ]

= [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0

3 years ago

Find the area of the following shape.

ad-work [718]

Answer:

57 units^2

Step-by-step explanation:

First find the area of the triangle on the left

ABC

It has a base AC which is 9 units and a height of 3 units

A = 1/2 bh = 1/2 ( 9) *3 = 27/2 = 13.5

Then find the area of the triangle on the right

It has a base AC which is 6 units and a height of 1 units

A = 1/2 bh = 1/2 ( 6) *1 = 3

Then find the area of the triangle on the top

It has a base AC which is 3 units and a height of 3 units

A = 1/2 bh = 1/2 ( 3) *3 = 9/2 = 4.5

Then find the area of the rectangular region

A = lw = 6*6 = 36

Add them together

13.5+3+4.5+36 =57 units^2

5 0

2 years ago

Read 2 more answers

2. State the main reasons why farmers are able to grow three different crops in a year in

nlexa [21]

Answer:

abundance of water and suitable climatic conditio n is the main reasons .

4 0

2 years ago

Question 18 of 25

Pani-rosa [81]

Step-by-step explanation:

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bsvsbwvqcfsgfafautaufayrayystacayfsugs7y7ay7auq

7 0

2 years ago