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3 years ago

HELPPPPPPPPPPPPPPPP MEEEEEEEEEEEee

Mathematics

1 answer:

Yanka [14]3 years ago

5 0

Find the points and then write them on graph. You basically already have the answer because its all on the graph. First calm down and re-look at it. When your less stressed your less likely to get the answer wrong. Just try. Its all there.

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Three baskets contain three consecutive odd numbers of apples. There are 105 apples in total. How many apples are in each basket

galben [10]

There are 35 apples in each basket. 105/3 is 35. i got 3 by the three baskets, and 35 is a odd number which also adds up to 105.

8 0

3 years ago

The amount of time it takes a bat to eat a frog was recorded for each bat in a random sample of 12 bats. The resulting sample me

spin [16.1K]

Answer: a. CI for the mean: 17.327 < μ < 26.473

b. CI for variance: 29.7532 ≤ $\sigma^{2}$ ≤ 170.9093

Step-by-step explanation:

a. To construct a 95% confidence interval for the mean:

The given data are:

mean = 21.9

s = 7.7

n = 12

df = 12 - 1 = 11

1 - α = 0.05

$\frac{\alpha}{2}$ = 0.025

t-score = $t_{0.025,11}$ = 2.2001

Note: since the sample population is less than 30, it is used a t-score.

The formula for interval:

mean ± $t.\frac{s}{\sqrt{n} }$

Substituing values:

21.9 ± 2.200. $\frac{7.7}{\sqrt{12} }$

21.9 ± 4.573

The interval is: 17.327 < μ < 26.473

b. A 95% confidence interval for the variance:

The given values are:

$s^{2}$ = $7.7^{2}$

$s^{2}$ = 59.29

α = 0.05

$\frac{\alpha}{2}$ = 0.025

$1-\frac{\alpha}{2}$ = 0.975

$\chi^{2}_{0.025,11}$ = 21.92

$\chi^{2}_{0.975,11}$ = 3.816

Note: To find the values for $\chi^{2}_{\alpha/2,n-1}$ and $\chi^{2}_{1-\alpha/2,n-1}$ , look for them at the chi-square table

The formula to calculate interval:

( $\frac{(n-1).s^{2}}{\chi^{2}_{\alpha/2,n-1}} , \frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2,n-1}}$ )

are the lower and upper limits, respectively.

Substituing values:

( $\frac{11.59.29}{21.92} , \frac{11.59.29}{3.816}$ )

(29.7532, 170.9093)

The interval for variance is: 29.7532 ≤ $\sigma^{2}$ ≤ 170.9093

6 0

3 years ago

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

andrew11 [14]

Given that QO is the radius and PQ is tangent to circle O, then ΔPQO is a right triangle. Hence the value of x will be obtained as follows:
Sum of angles in a triangle is equal to 180°. Thus
x+17+90=180
x+107=180
thus
x=180-107
x=73°

Answer: x=73°

7 0

4 years ago

Read 2 more answers

$27 for 4 large pizzas or $32 for 5 large pizzas

Blababa [14]

Answer: 5 large

Step-by-step explanation:

$6.75 per pizza for 4 large pizzas

$6.40 per pizza for 5 large pizzas

5 0

3 years ago

Read 2 more answers