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xeze [42]
3 years ago
11

Mandy runs 4 km in 18 min. she plans to run in a 15 km race. how long will it take her to complete the race?

Mathematics
1 answer:
kompoz [17]3 years ago
6 0
It will take Mandy an hour, seven minutes, and thirty seconds to complete the race.

(67 minutes and 30 seconds)

I hope my answer helped!
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Which expression could be used to determine the reduction of -4 and 3 1/4
Setler79 [48]

Answer:

The expression that could be used is (-4)(3) + (-4)(\frac{1}{4}) ⇒ B

Step-by-step explanation:

Let us revise the distributive property:

<em>The product of a number and the sum of 2 other numbers equal to the sum of the products of the number with the other 2 numbers</em>

  • a(b + c) = ab + ac

We will use this rule to solve the question

∵ The product of -4 and 3\frac{1}{4} = -4 × 3\frac{1}{4}

→ We can right 3\frac{1}{4}  as (3 + \frac{1}{4} )

∵ 3\frac{1}{4} = (3 + \frac{1}{4} )

∴ -4 × 3\frac{1}{4} = -4(3 + \frac{1}{4} )

→ By using the rule above

∵ -4(3 + \frac{1}{4} ) = (-4)(3) + (-4)(\frac{1}{4})

∴ -4 × 3\frac{1}{4}  = (-4)(3) + (-4)(\frac{1}{4})

∴ The expression that could be used is (-4)(3) + (-4)(\frac{1}{4})

3 0
3 years ago
Weinstein, McDermott, and Roediger report that students who were givne questions to be answered while studying new material had
emmainna [20.7K]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By considering the given information , we have

Null hypothesis : H_0: \mu=73.4

Alternative hypothesis :  H_a: \mu>73.4

Since alternative hypothesis is right-tailed , so the test is a right-tailed test.

Given : Sample size : n=16 , which is a small sample , so we use t-test.

Sample mean: \overline{x}=78.3  ;

Standard deviation: s=8.4

Test statistic for population mean:

t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e. t=\dfrac{78.3-73.4}{\dfrac{8.4}{\sqrt{16}}}\approx2.333

Using the standard normal distribution table of t , we have

Critical value for \alpha=0.01 : t_{(n-1,\alpha)}=t_{(15,0.01)}=2.602

Since , the absolute value of t (2.333) is smaller than the critical value of t (2.602) , it means we do not have sufficient evidence to reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the claim that answering questions while studying produce significantly higher exam scores.

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What is the volume of the prism?
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