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Aleks04 [339]
2 years ago
10

Espano

Mathematics
1 answer:
nikitadnepr [17]2 years ago
3 0

Answer:

The time at which the two trains will meet is 1 hour and 24 minutes

Step-by-step explanation:

The distances between the two trains = 196 miles

The direction of the two trains = Towards each other

The speed of one of the trains = 80 miles per hour

The speed of the other train = 60 miles per hour

Let 't' represent the time at which the two trains meet, we have;

80·t + 60·t = 196

∴ 140·t = 196

t = 196/140 = 7/5

The time at which the two trains will meet, t = 7/5 hours = 1.4 hours = 1 hour, 24 minutes.

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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

5 0
3 years ago
Grade 8 math question plz show work
Nimfa-mama [501]
A. The population would be 120

You would find 20 percent of 100
To do that, you do 100× 0.2 and add that to 100

B. The population doubles

10×2= 20
20×2= 40, not 30

hope this helps!
6 0
3 years ago
A box is filled with thirty six plates. How many boxes can be filled with a thousand plates?
Yuki888 [10]
Hello there ^ _ ^


We know that 36 plates filled 1 box
if we have 1000 plates, how many box it would fill.

All we have to do is divide 1000 by 36 to find the answer.

1000/ 36 = 27.77777 or you can just say 28


I hope this help!
4 0
3 years ago
Read 2 more answers
I will give brainliest if correct !!
qwelly [4]

Answer:

acute isosceles

Step-by-step explanation:

3 0
2 years ago
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? y = - 2y = -3x + 7 2x + 3y -
Karolina [17]

The line passing through (3, -1) and (-1, 5) has this slope:

5+1

m = ---------- = -3/2

-1-3

We need to find the y-intercept. To do this, substitute the knowns (-3/2 for m, -1 for y and 3 for x) into the slope-intercept equation:

-1 = (-3/2)(3) + b. Then: -1 = -9/2 + b, and so b = 9/2 - 1 = 7/2.

The desired equation is y = (-3/2)x + 7/2.

8 0
3 years ago
Read 2 more answers
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