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3 years ago

A car starting from rest accelerates at a rate of 7.5 m/s2. What is its final speed at the end of 4.0 seconds?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

7 0

Step-by-step explanation:

initial velocity is 0

time is 4 seconds

acceleration is 7.5mper second square

using the formula s=ut+1/2at^2[distance equal to initial velocity times time plus half into acceleration times (time )squared] substitute s=0×4+2×7.5 ×4^2

s=0+7.5×16

s=120m

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3 years ago

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3 years ago

Math SAT: Suppose the national mean SAT score in mathematics was 510. In a random sample of 50 graduates from Stevens High, the

sukhopar [10]

Answer:

Mean SAT score for Stevens High graduates are not the same as the national average.

Step-by-step explanation:

We are given the following information in question:

Population mean, μ = 510

Sample mean, $\bar{x}$ = 501

Sample size, n = 50

Alpha, α = 0.10

Sample standard deviation, s = 30

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 510\\H_A: \mu \neq 510$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }$ Putting all the values, we have,

$t_{stat} = \displaystyle\frac{501 - 510}{\frac{30}{\sqrt{49}} } = -2.1$ Now,

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$t_{stat} < t_{critical}$

We reject the null hypothesis and fail to accept it.

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3 years ago

- Olivia skates twice as far as Stephanie. This sum of their distances is 96 miles per month. How many

kotegsom [21]

Answer:

B.64 miles

Step-by-step explanation:

Let Oliver's be x

Let Stephanie's be y

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substitute for x in (b):

$2y + y = 96 \\ 3y = 96 \\ y = 32$

find x in (a):

$x = (2 \times 32) \\ x = 64$

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3 years ago

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You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each s

baherus [9]

The equations and the number of hotdogs and sodas sold are: x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

Two equations can be derived from this question:

2.25x + 1.50y = 225.75 equation 1

x + y = 126 equation 2

Where:

x = number of hotdogs sold

y = number of soda sold

In order to determine the value of y, multiply equation 2 by 2.25

2.25x + 2.25y = 283.50 equation 3

Subtract equation 1 from 3

57.75 = 0.75y

y = 77

Substitute for y in equation 2

x + 77 = 126

x = 49

To learn more about simultaneous equations, please check: brainly.com/question/23589883

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3 years ago

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