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2 years ago

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Two twins are running away from their mother in opposite directions one with the speed of 10 feet per second and the other with

the speed of 8 feet per second. How and with what speed does the distance between the twins change?

1 answer:

sdas [7]2 years ago

7 0

Answer:

going by 0.69 times faster

Step-by-step explanation:

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Sue’s Corner Market has a markup of 60% on bottled water. If the market sells a bottle of water for $2, find the original amount

lakkis [162]

Markup is the amount added to the cost price of goods to cover overhead and profit.

Sue’s Corner Market has a markup of 60% on bottled water.

Let us say original price was $x.

Now price after markup is $2.

So we can make an equation like:

original price + markup price = price after markup

x + 60% of x =2

$x + 0.6x =2$

$1.6x =2$

dividing both sides by 1.6

x= 1.25

So original price was 1.25 dollars.

5 0

2 years ago

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a sports statistician claim that the mean winning times for boston marathon women's open division champions is at least 2.68 hou

GenaCL600 [577]

Answer:

We conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

Step-by-step explanation:

We are given that a sports statistician claim that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

The mean winning time of a sample of 30 randomly selected Boston marathon women's open division champions is 2.60 hours. assume the population standard deviation is 0.32 hours.

<em>Let </em> $\mu$ <em> = </em><u><em>mean winning times for Boston marathon women's open division champions.</em></u>

So, Null Hypothesis, $H_0$ : $\mu\geq$ 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours}

Alternate Hypothesis, $H_A$ : p < 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is less than 2.68 hours}

The test statistics that would be used here <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean winning time = 2.60 hours

$\sigma$ = population standard deviation = 0.32 hours

n = sample of women's open division champions = 30

So, <em><u>test statistics</u></em> = $\frac{2.60-2.68}{\frac{0.32}{\sqrt{30} } }$

= -1.37

The value of z test statistics is -1.37.

Now, P-value of the test statistics is given by following formula;

P-value = P(Z < -1.37) = 1 - P(Z $\leq$ 1.37)

= 1 - 0.9147 = <u>0.0853</u>

Since, P-value of the test statistics is more than the level of significance as 0.0853 > 0.05, so <u>we have insufficient evidence to reject our null hypothesis</u> as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

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2 years ago

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? Quadratic formula: x = x = x = x = x =

irinina [24]

X²+5x+5 has zeroes given by x=(-5±√25-20)/2=(-5±√5)/2=-1.3820 and -3.6180.
In simplest radical form the zeroes are -5/2+√5/2 and -5/2-√5/2.

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2 years ago

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Michael is making a big batch of granola bars to bring to his soccer game. The oats in the granola bars contain 568.7 grams of c

givi [52]

Your answer would be the last one for sure !

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2 years ago

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An election for a new treasurer was held at a recent trade conference. In the election, Jamal received 40% of the votes, and his

Maurinko [17]

Answer:

Jamal received 2,880 votes

Step-by-step explanation:

In the election,

Jamal received 40% of all votes

Tran received 100% - 40% = 60% that is 4,320 votes

Let x be the number of votes Jamal received. Then

x - 40%

4,320 - 60%

Write a proportion:

$\dfrac{x}{4,320}=\dfrac{40}{60}\\ \\\text{Cross multiply}\\ \\60\cdot x=40\cdot 4,320\\ \\x=\dfrac{40\cdot 4,320}{60}=\dfrac{2\cdot 4,320}{3}=\dfrac{2\cdot 1,440}{1}=2,880$

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2 years ago