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Greeley [361]
2 years ago
14

The results of a poll show that the true proportion of students who prefer the new schedule is likely in the interval (0.195,0.2

45).
What is the point estimate of the proportion of students who prefer the new schedule
Mathematics
1 answer:
mojhsa [17]2 years ago
4 0

The point estimate of the proportion of students who prefer the new schedule is 0.22.

Definition of Point Estimate

Point estimation is a technique used in statistics to determine a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic, known as the point estimate. More precisely, in order to produce a point estimate, we apply a point estimator to the data.

For the confidence interval (0.195, 0.245), point estimate is calculated as follows,

p = (0.195 + 0.245) / 2

p = 0.44 / 2

p = 0.22

Hence, the point estimate of the proportion of students who prefer the new schedule comes out to be 2.2.

Learn more about point estimate here:

brainly.com/question/17514579

#SPJ1

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sashaice [31]
Yup the answer is C !!
3 0
3 years ago
A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40
malfutka [58]
PART A

The given equation is

h(t) = - 16 {t}^{2} + 40t + 4

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4

We add and subtract

- 16(- \frac{5}{4} )^{2}

to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4

We again factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4

This implies that,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4

The quadratic trinomial above is a perfect square.

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4

This finally simplifies to,

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29

The vertex of this function is

V( \frac{5}{4} ,29)

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

29

PART B

When the ball hits the ground,

h(t) = 0

This implies that,

- 16 ( t- \frac{5}{4}) ^{2} +29 = 0

We add -29 to both sides to get,

- 16 ( t- \frac{5}{4}) ^{2} = - 29

This implies that,

( t- \frac{5}{4}) ^{2} = \frac{29}{16}

t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }

t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}

t = \frac{ 5 + \sqrt{29} }{4} = 2.60

or

t = \frac{ 5 - \sqrt{29} }{4} = - 0.10

Since time cannot be negative, we discard the negative value and pick,

t = 2.60s
8 0
3 years ago
Mrs.Johnsons new car has an 18 gallon gas tank. If she can travel 400 miles on one tank of gasoline, what is her miles per gallo
serious [3.7K]

Answer:

22

Step-by-step explanation:

400/18=22.222222222

Round to 22

5 0
3 years ago
4. Tyrone needs to save $100 to pay for his trip to
erik [133]

Answer:

<u>6 hours</u>

Step-by-step explanation:

Subtract saved amount from required amount :

  • $100 - $45.50
  • $54.50

Divide by the pay rate :

  • $54.50 / $9.25
  • 5.89 ≅ 6

Tyrone must work at least <u>6 hours</u> to have $100 saved.

8 0
2 years ago
Simplify the expression b+2/b^2-4
Lubov Fominskaja [6]
3b because b^2-4= 1/b. So 2/1/b= 2b b+2b = 3b
8 0
3 years ago
Read 2 more answers
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