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viktelen [127]
3 years ago
12

Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as

the speed at which he rides. Which equation best models the amount of time it takes him to finish with his cycling, t, if he rides at a speed of m miles per hour?
Mathematics
2 answers:
Schach [20]3 years ago
8 0

Hello, I am papaguy


Here is your answer


In terms of distance, the average speed for the total x miles you'd travel would be 50 miles per hour. However, if you include the fact that you spent less time traveling 60 miles per hour than 40, the average would be closer to 40 than 60 miles per hour.


Please note this is information you can use do not copy and paste.


Thank you papaguy And If I am wrong I will look into it!

Aleks04 [339]3 years ago
6 0

Answer:t=18/m

Step-by-step explanation:

Use logic

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Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whethe
s2008m [1.1K]

Answer:

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (P-value = 0.01537).

Step-by-step explanation:

<em>The question is incomplete: the picture attached gives the missing sample data.</em>

This is a hypothesis test for the difference between proportions.

The claim that is going to be stated in the alternative hypothesis is that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent. This means that the proportions differ significantly.

Then, the null and alternative hypothesis can be written as:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1 (Male celebrity), of size n1=150 has a proportion of p1=0.273.

p_1=X_1/n_1=41/150=0.273

The sample 2 (Female celebrity), of size n2=150 has a proportion of p2=0.407.

p_2=X_2/n_2=61/150=0.407

The difference between proportions is (p1-p2)=-0.133.

p_d=p_1-p_2=0.273-0.407=-0.133

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{41+61.05}{150+150}=\dfrac{102}{300}=0.34

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.34*0.66}{150}+\dfrac{0.34*0.66}{150}}\\\\\\s_{p1-p2}=\sqrt{0.001496+0.001496}=\sqrt{0.002992}=0.055

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.133-0}{0.055}=\dfrac{-0.133}{0.055}=-2.44

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z

As the P-value (0.01537) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (the proportions differ).

6 0
3 years ago
What is the number equal to 30 ones + 2 tens – 4 tens?
Stolb23 [73]

Answer:

-2

Step-by-step explanation:

5 0
3 years ago
Y varies directly as x if y=6 when x=5 find y when x=45
Marianna [84]

Answer:

Im not sure but i did 5x9=45

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1) IT TAKES 10 PEOPLE TO PULL A 50 TON BUS.HOW MANY PEOPLE WOULDIT TAKE TO PULL A 100 TON BUS ?
Vanyuwa [196]
1) The best thing to do here is to divide the two weights of the buses and fin out what you need to multiply it by. 
100/50= 2.
Therefore, you've got to multiply the amount of people by 2.
10*2= 20
Therefore, it takes 20 people to pull a 100 ton bus.

2) Here, you should work out what each one is worth. Half of 40 is 20.
one fourth of 20 is 5. Therefore, half of 40 is larger.

3) The best thing to do is to divide 32 by 8, and then multiply the number of degrees by this.
32/8=4
110*4= 440
Therefore, the ball rotates 440 degrees in 32 seconds.

4) the best thing to do is to find what one part is worth- and to do this, you have to add together the amount of roses and divide this by the total roses.
4+6= 10
50/10= 5
The roses are 6 parts yellow, therefore, 6*5= 30, there are 30 yellow roses.

Hope this helps :) 
4 0
3 years ago
For a population with an unknown distribution, the form of the sampling distribution of the sample mean is _____.a. exactly norm
maxonik [38]

Answer:

Approximately normal for large sample sizes

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

The distribution is unknown, so the sampling distribution will only be approximately normal when n is at least 30.

So the correct answer should be:

Approximately normal for large sample sizes

7 0
3 years ago
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