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Dvinal [7]
3 years ago
11

A square pyramid has a heighth and a base with side length b. The side lengths of the base increase by 50%. Write a simplified e

xpression that represents the
volume of the new pyramid in terms of b and h.
An expression is
Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer: 54

Step-by-step explanation:

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An object in a simulation accelerates
notsponge [240]

Observe the graph below. This graph represents the scenario.

The question is ill formated, the complete question is

In a simulation, a moving object accelerates from rest to 4 meters per second in 2 seconds. For the following three seconds, it increases linearly until it reaches a speed of 10 meters per second. Following three seconds at that speed (acceleration = 0), the item progressively decelerates until it comes to rest two seconds later. Draw the graph of this scenario for 10 seconds?

I'll describe how the graph may show.

It will move diagonally upward from time 0 to 2 seconds until it reaches the y axis at a speed of 4 m/s.

Then, from 2 to 5, the position will move up diagonally until it reaches the y axis at a speed of 10 m/s.

The next 5 to 8 seconds will be horizontal.

After that, it will descend diagonally.

Observe the graph below. This graph represents the scenario.

Learn more about Acceleration here-

brainly.com/question/21509870

#SPJ10

5 0
2 years ago
Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which dete
zysi [14]

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

<u>To calculate the number of hours worked, we need to use the following formula:</u>

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

number of hours= 348 / 7.25

number of hours= 48 hours

6 0
3 years ago
Natasha is making fudge. The recipe calls for 2 pounds of chocolate. Natasha uses a digital scale to weigh the chocolate she has
SpyIntel [72]

Answer:

Yes

Step-by-step explanation:

Th .06 lbs of chocolate will not affect the recipe because .06 is only 3% off.

4 0
4 years ago
a sample of 546 boys aged 6–11 was weighed, and it was determined that 89 of them were overweight. A sample of 508 girls aged 6–
AleksAgata [21]

Answer:

p-value:  0.6527

Step-by-step explanation:

Hello!

You have two samples to study, from each sample the weight of each child was measured and counted the total of overweight kids (x: "success") in each group:

Sample 1 (Boys aged 6-11)

n₁= 546

x₁= 89

^p₁= x₁/n₁ = 89/546 ≅0.16

Sample 2 (girls aged 6-11)

n=508

x= 74

^p= x/n = 74/508 ≅ 0.15

If the hypothesis statement is "The proportion of boys that are overweight differs from the proportion of girls that are overweight", the test hypothesis is:

H₀: ρ₁ = ρ₂

H₁: ρ₁ ≠ ρ₂

This type of hypothesis leads to a two-tailed rejection region, then the p-value will also be two-tailed. To calculate the p-value you have to first calculate the value of the statistic under the null hypothesis, in this case, is a test for the difference between two proportions:

Z=<u>      (^ρ₁ - ^ρ₂) - (ρ₁ - ρ₂)        </u> ≈ N(0;1)

    √(ρ` * (1 - ρ`) * (1/n₁ + 1/n₂))

ρ`=<u> x₁ + x₂  </u> = <u>  89+74     </u> = 0.154 ≅ 0.15

     n₁ + n₂     546 + 508

Z⁰ᵇ =<u>          (0.16-0.15) - (0)                    </u>

       √(0.15 * (1 - 0.15) * (1/546 + 1/508))

Z⁰ᵇ = 0.45

I've mentioned before that in this test you have a two-tailed p-value. The value calculated (0.45) corresponds to the right or positive tail and the left tail is symmetrical to it concerning the distribution mean, in this case, is 0, so it is -0.45. To obtain the p-value you need to calculate the probability of both values and add them:

P(Z>0.45) + P(Z<-0.45) = (1- P(Z<0.45)) + P(Z<-0.45) = (1-0.67364) + 0.32636 = 0.65272 ≅ 0.6527

p-value:  0.6527

Since there is no signification level in the problem, I'll use the most common to reach a decision. α: 0.05

Since the p-value is greater than α, you do not reject the null Hypothesis, in other words, there is no significative difference between the proportion of overweight boys and the proportion of overweight girls.

I hope it helps!

3 0
4 years ago
The results of the car race are shown below.Explain how to determine who drove the fastest.
gizmo_the_mogwai [7]

<u><em>Answer:</em></u>

Evans was the fastest


<u><em>Explanation:</em></u>

<u>The relation between velocity, time and distance is as follows:</u>

velocity = \frac{distance}{time}


<u>1- For Cutwright:</u>

We have the time = 84 minutes and the distance = 35 laps

<u>This means that:</u>

velocity = \frac{35}{84} = 0.61667 lap/minute


<u>2- For Evans:</u>

We have time = 96.6 minutes and distance = 42 laps

<u>This means that:</u>

velocity = \frac{42}{96.6} = 0.43478 lap/minute


<u>3- For Loza:</u>

We have time = 102.6 minutes and distance = 38 laps

<u>This means that:</u>

velocity = \frac{38}{102.6} = 0.37037 lap/minute


Based on the above calculations, we can note than Evans was the fastest


Hope this helps :)

7 0
4 years ago
Read 2 more answers
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