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3 years ago

6

Stretch your thinking, solve the story problem. Draw comparison bars. There were 11 hikers here yesterday. There are 4 hikers he

re today. How many fewer hikers are here today than yesterday?

1 answer:

Kryger [21]3 years ago

6 0

11-4=7 your welcome

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A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has

Mamont248 [21]

Answer:

Step-by-step explanation:

The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. This is the null hypothesis. It is written as

H0 : µ ≤ 34

The alternative hypothesis would be

Ha : µ > 34

This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be

Reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average time spent on the deliveries does exceed 34 minutes.

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3 years ago

Charlie (c) has 75 more pencils than Kate (k). Together, they have 135 pencils. Which *two* equations represent the system of eq

Tamiku [17]

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

5 0

3 years ago

The Area of a rectangle is 27cm² and the length is 9cm,find the Breadth?

telo118 [61]

Answer:3

Step-by-step explanation:

6 0

3 years ago

The volume of a sphere is two-thirds of a cylinder. What is the volume of a cylinder that has the same diameter as a sphere with

sattari [20]

Answer:

$V_2= \frac{28}{3} u^3$

Step-by-step explanation:

Given

Represent the volume of the cylinder with V1 and the volume of the sphere with V2

So, from the first statement: we have:

$V_2 =\frac{2}{3}V_1$

and

$V_1 = 14u^3$

To solve for $V_2$ , we simply substitute $14u^3$ for $V_1$ in $V_2 =\frac{2}{3}V_1$

$V_2 =\frac{2}{3}V_1$

$V_2= \frac{2}{3} * 14u^3$

$V_2= \frac{2* 14}{3} u^3$

$V_2= \frac{28}{3} u^3$

Hence, the volume of the sphere is $\frac{28}{3} u^3$

5 0

3 years ago

Suppose a cold beer at 40°F is placed into a warm room at 70°F. Suppose 10 minutes later, the temperature of the beer is 48°F. U

Yuri [45]

Answer:

69.92°F

Step-by-step explanation:

Given:

Initial temperature ( i.e at time, t = 0) = 40°F

Temperature of the room = 70°F

Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F

Now, from Newton's law of cooling

T'(t) = k(A - T(t))

T(t) temperature after time t

T'(t) = $\frac{\textup{dT}}{\textup{dt}}$

here, A is the room temperature

thus,

$\frac{\textup{dT}}{\textup{dt}}$ = k(70 - T)

or

$\frac{\textup{dT}}{\textup{70-T}}$ = kdt

on solving the differential equation, we get

T = $70-C^{-kt}$ ............(1)

Now from the boundary conditions,

i.e at time, t = 0; T = 40°F

we get,

40 = $70-C^{-k\times0}$

or

C = 30

and,

at time, t = 10; T = 48°F

thus,

48 = $70-30^{-k\times10}$

or

k = $\frac{\textup{-1}}{\textup{10}}ln\frac{11}{15}$

or

k = 0.03

Therefore,

for t = 25

from 1 we have

T = $70-30^{-0.03\times25}$

or

T = 70 - 0.0780

or

T = 69.92°F

3 0

3 years ago