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2 years ago

63 student has to be 4 student in each group who won’t be in a group

Mathematics

2 answers:

alina1380 [7]2 years ago

8 0

Answer:

15×4=60 and 3 people will be left without a group of 4

frez [133]2 years ago

7 0

Answer

There will be 15 groups and 3 students left over.

Step-by-step explanation:

This is because 63 students divded by 4 is 15.75. 75% of 4 is 3 so there are 3 students not in a group.

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⦁ 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

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

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

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

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

= [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

2 years ago

The cost of, y, of a large pizza with x topping from pats pizzeria can be modeled by a linear function. A large pizza with no to

Firdavs [7]

Answer:

The cost would be 22.75

Step-by-step explanation:

To find the cost of each topping, we simply take the excess cost and divide it by the number of toppings. To find the excess cost, take the new cost and subtract the original cost.

17.50 - 14.00 = 3.50

Now divide that by the amount of toppings.

3.50/2 = 1.75

Now we can multiply the new number of toppings by that amount and add the cost of the pizza.

5(1.75) + 14.00

8.75 + 14.00

22.75

3 0

3 years ago

Read 2 more answers

Bodmas 6x (3+8) -8x(6-2)

Leona [35]

If your looking for the answer then it’s 34

4 0

2 years ago

Y=x???need answers and an explanation

Lesechka [4]

Y= 2
every time y goes up it goes up by 2

-1+2=1
1+2=3
3+2=5

5 0

2 years ago

Math

SIZIF [17.4K]

Answer:

Susanne is 16

Step-by-step explanation:

Let x be Dakota's age

x + 3 = Susanne's age

4(x+3) = Bob's age

Sum of their age is:

x + x + 3 + 4(x + 3) =

Simplify:

x + x + 3 + 4x + 12

6x + 15 = 93

6x = 78

x = 13

Susanne is 3 more than x (13 +3) which is 16

6 0

3 years ago