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Alika [10]
3 years ago
12

A racecar can travel 800 miles in 4 hours.Using(d) for distance in miles and (t) for numbers of hours,an equation that represent

s this situation is d=200t
Mathematics
1 answer:
Nataly [62]3 years ago
8 0

800=200×4

the distance is 800 miles and the time is 4 hours

and the situation that are given is d=200t

Distance =800 miles

Time=4 hours

Given Situation=200

800=200•4

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From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga
jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that n = 1186, \pi = \frac{248}{1186} = 0.2091

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So \alpha = 0.10 , z is the value of Z that has a pvalue of 1 - \frac{0.10}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285

The 90% confidence interval is (0.1897, 0.2285).

3 0
3 years ago
Which values from the set {−6,−4,−3,−1,0,2} satisfy this inequality?
Vladimir [108]
-12x+3 greater than or equal to 5
-12x greater than or equal to to 2
To turn the negative sign of -12x into positive, we multiply both sides by minus, which shifts the inequality sign.
So, 12x less than or equal to 2
x is less than or equal to 1/6
Therefore, 0, -1, -3, -4 and -6 satisfy this inequality.
3 0
3 years ago
Tina has 1/4 of a cake. He divides it between his 6 friends. How much of the whole cake will each friend get?
klemol [59]
As Tina only has 1/4 of a cake. For simplicity sake we can do the calculation with a whole cake and then multiply by four!

First it is stated that cake is divided into six pieces, giving us our first number. 
So,

6 x 4 = 24 

This means that each friend will get 1/24th of the whole cake.
7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!
lozanna [386]
The correct answer is: <span>C) The base of the cone and the top of the cylinder have the same area. </span>The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!!  : )

hope this helps you


4 0
3 years ago
Help me quick please --4x-7-3x+4=25
V125BC [204]

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>32</u></em></h2>

Step-by-step explanation:

4x - 7 - 3x + 4 =25

=> 4x - 3x = 25 + 7

=> <em><u>x = 32 (Ans)</u></em>

3 0
3 years ago
Read 2 more answers
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