All categories

3 years ago

Over the summer, Marvin mows

Mathematics

1 answer:

VLD [36.1K]3 years ago

6 0

$792 for all the lawns together

You might be interested in

How do you write x² − 8x in vertex form?

Svetach [21]

Answer:

Step-by-step explanation:

y=(x-4)^2-16

4 0

4 years ago

A market research company conducted a survey to find the level of affluence in a city. They defined the category "affluence" for

malfutka [58]

Answer:

A 95% confidence interval for this population proportion is [0.081, 0.159].

Step-by-step explanation:

We are given that a market research company conducted a survey to find the level of affluence in a city.

Out of 267 persons who replied to their survey, 32 are considered affluent.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

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

where, $\hat p$ = sample proportion of people who are considered affluent = $\frac{32}{267}$ = 0.12

n = sample of persons = 267

p = population proportion

Here for constructing a 95% confidence interval we have used One-sample z-test for proportions.

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% level

of significance 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 = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.12-1.96 \times {\sqrt{\frac{0.12(1-0.12)}{267} } }$ , $0.12+1.96 \times {\sqrt{\frac{0.12(1-0.12)}{267} } }$ ]

= [0.081, 0.159]

Therefore, a 95% confidence interval for this population proportion is [0.081, 0.159].

4 0

4 years ago

Sean wants to make a beaded necklace 16 1/2 inches long. If each bead is 3/4 in wide how many beads does he need?

zalisa [80]

Answer:

22 beads

Step-by-step explanation:

You need to divide 16 1/2 by 3/4.

16 1/2 / 3/4 =

= 33/2 / 3/4

= 33/2 * 4/3

= (33 * 4)/(2 * 3)

= 11 * 2

= 22

Answer: 22 beads

5 0

3 years ago

4 divided by 527 step by step

Bond [772]

4 goes into 527 how many times d¥¥b foo

5 0

2 years ago

Dialyn scored 2.5 points higher than Gina at a gymnastics event. Select the values that could represent each student's gymnastic

bija089 [108]

Answer are a, c and d

5 0

3 years ago