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sdas [7]
2 years ago
5

In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation h =

9 −1/50x², where h is the height in yards and x is the distance in yards from the center of the bridge.
a. Graph this equation on your calculator and describe, to the nearest yard, where the
bridge touches the ground.
Mathematics
1 answer:
DerKrebs [107]2 years ago
7 0

Answer:

21.213

or

(21.213,0)

Step-by-step explanation:

y-intercept = 9

slope= -1/50x^2

I graphed it and it was a parabola and it hit the ground at this coordinate (21.213,0)

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A toy factory can produce approximately 36,000 building blocks in just one minute! The function B(t)=36,000t approximates the to
gogolik [260]

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

5 0
2 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is
lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

<u><em>Let </em></u>\mu<u><em> = mean filling of bags by the machine.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 402 gram     {means that the the machine is not under filling the bags}

Alternate Hypothesis, H_A : \mu < 402 gram     {means that the the machine is under filling the bags}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean bag filling = 393 grams

            s = sample standard deviation = 20 grams

            n = sample of bags = 25

So, <u><em>test statistics</em></u>  =  \frac{393-402}{\frac{20}{\sqrt{25} } }  ~ t_2_4

                               =  -2.25

The value of t test statistics is -2.25.

5 0
3 years ago
Which one of the following statements expresses a true proportion?
hodyreva [135]

Answer:

The answer is B.

Step-by-step explanation:

<em>A true proportion is a set of ratios that equal each other.</em>

<em> </em>For example, 1:2=2:4 is a proportion.

As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)

I hope this helps!

7 0
3 years ago
MATH HELP!
Irina18 [472]
You have the correct answer. Nice work. If you need to see the steps, then see below

-------------------------------------------------------------------------------

First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1

Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3

So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint

---------------------

Now we must find the slope of segment HI

H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3

So the slope of the perpendicular bisector is -3

-----------------------

Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0

So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x

So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)

7 0
3 years ago
Suppose the p-value is 0.1038. what is the correct interpretation of this p-value in context?
Basile [38]

The p value 0.1038 represent the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

According to the statement

we have given that the P value and we have to find the correct interpretation of this p-value in context.

So, For this purpose, we know that the

The P - Value is the In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed.

And in the given statement ,

The given p value is 0.1038.

And this p value is a If the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

So, The p value 0.1038 represent the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

Learn more about P value here

brainly.com/question/4621112

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Suppose the p-value is 0.1038. What is the correct interpretation of this p-value in context?

a.) If the proportion of students who use drugs at this college is greater than 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

b.) There is a 0.1038 probability that the proportion of students who use drugs at this college is greater than 0.157.

c.) If the proportion of students who use drugs at this college is equal to 0.157, the probability of getting a statistic as extreme or more extreme as that observed is 0.1038.

d.) There is a 0.1038 probability that the proportion of students who use drugs at this college is equal to 0.157.

#SPJ4

3 0
2 years ago
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