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3 years ago

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The distance a car travels can be found using the formula d = (r)(t), where d is the distance, r is the rate of speed, and t is

time. How many miles does the car travel, if it drives at an average speed of 70 miles per hour for half an hour?

1 answer:

mezya [45]3 years ago

5 0

Answer:

7

Step-by-step explanation:

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William has a 26 -liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill th

Ann [662]

Answer: 0.06 litre or 60 ml

Step-by-step explanation:

Given: The capacity of glass tank= 26 liter

If he add 20.9 liters of water after 85 marbles to fill it completely, then

The volume of 85 marbles= $26-20.9=5.1\ liters$

Since, the marbles have same volume.

∴ Volume of each marble= $\frac{\text{volume of 85 marbles}}{\text{85}}$

⇒ Volume of each marble= $\frac{5.1\ litre}{85}=0.06\ liters$

In milliliters, Volume of each marble= $0.06\times1000=60ml$

4 0

3 years ago

Suppose the national mean SAT score in mathematics was 510. In a random sample of 60 graduates from Stevens High, the mean SAT s

zalisa [80]

Answer:

We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 510

Sample mean, $\bar{x}$ = 502

Sample size, n = 60

Sample standard deviation, s = 30

Alpha, α = 0.05

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:

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

$t_{stat} = \displaystyle\frac{502- 510}{\frac{30}{\sqrt{60}} } = -2.0655$

Now,

$t_{critical} \text{ at 0.05 level of significance, 59 degree of freedom } = \pm 1.671$

Since,

$|t_{stat}| < |t_{critical}|$

We reject the null hypothesis and fail to accept it.

We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.

7 0

3 years ago

Simplify: (5 + i)(5 − i) <br> A) −12 <br> B) 24i <br> C) 26 <br> D) 8i

Fofino [41]

Answer:

C) 26

Simplify using the FOIL method--used to multiply binomials--and then combine real and imaginary parts of the problem.

5 × 5 = 25 + positive 1(i) = 26

5 0

2 years ago

Read 2 more answers

PLEASE find the equation for this graph

Verdich [7]

I think it’s y=1/2x-10

6 0

2 years ago

X-2/3= 6 1/3 what is the answer??????????

vichka [17]

For this case we must find the solution of the following equation:

$x- \frac {2} {3} = 6 \frac {1} {3}$

Rewriting the mixed number in the form of improper fraction we have:

$x- \frac {2} {3} = \frac {3 * 6 + 1} {3}\\x- \frac {2} {3} = \frac {19} {3}$

Add $\frac {2} {3}$ to both sides of the equation:

$x = \frac {19} {3} + \frac {2} {3}$

We add the fractions with the same denominator:

$x = \frac {19 + 2} {3}\\x = \frac {21} {3}\\x = 7$

So, the solution is $x = 7$

Answer:

$x = 7$

4 0

3 years ago