1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Usimov [2.4K]
3 years ago
12

Visit CK12.org for Free Online Practice

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

C) 154

Step-by-step explanation:

-14+7x^2-7

-14+7(5)^2-7

-14+7*5*5-7

-14+7*25-7

-14+175-7

161-7

154

You might be interested in
You and some friends go miniature golfing. Your score is 3 below par. One of your friends has a score that is 12 over par. What
Leona [35]
12-(-3)= 12+3=15, so the difference is 15 points
5 0
3 years ago
Read 2 more answers
I need help with this question
Murljashka [212]
It is the third on down

4 0
3 years ago
PLS HELP 6th grade, I WILL MARK U AS BRAINLIEST PLSSS
Sergio [31]

Answer:

1.75

Other Answer:

1 3/4

7 0
3 years ago
The article "Monte Carlo Simulation—Tool for Better Understanding of LRFD" (J. Structural Engr., 1993: 1586–1599) suggests that
Sedaia [141]

Answer:

a) P(X

And we can find this probability using the normal standard distribution or excel and we got:

P(z

b) P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)

And we can find this probability using the complement rule and normal standard distribution or excel and we got:

P(z>3.78)=1-P(Z

c) z=0.674

And if we solve for a we got

a=43 +0.674*4.5=46.033

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(43,4.5)  

Where \mu=43 and \sigma=4.5

Part a

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard distribution or excel and we got:

P(z

Part b

P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)

And we can find this probability using the complement rule and normal standard distribution or excel and we got:

P(z>3.78)=1-P(Z

Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=43 +0.674*4.5=46.033

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.  

8 0
3 years ago
An article gave the accompanying data on ultimate load (kN) for two different types of beams. Assuming the underlying distributi
krok68 [10]

Answer:

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.

The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.

The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.

The difference between sample means is Md=-9.4.

M_d=M_1-M_2=33.4-42.8=-9.4

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

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{2.2^2}{26}+\dfrac{4.3^2}{26}}\\\\\\s_{M_d}=\sqrt{0.186+0.711}=\sqrt{0.897}=0.9473

The critical t-value for a 99% confidence interval is t=2.678.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_{M_d}=2.678 \cdot 0.9473=2.537

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = -9.4-2.537=-11.937\\\\UL=M_d+t \cdot s_{M_d} = -9.4+2.537=-6.863

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

8 0
3 years ago
Other questions:
  • How many inches equal 1 yard 3 yards 5 yards 7 yards
    9·2 answers
  • If q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
    12·1 answer
  • Based on the graph, how many students are represented? A) 100 students B) less than 150 C) less than 200 D) less than 300
    14·1 answer
  • What effect does "a" have on the parent function y=1/x
    13·1 answer
  • Im confused plz help. I will mark brainliest plus points 20 x 11/15 in steps
    5·2 answers
  • The cost pre ounce of the perfume is $
    6·1 answer
  • What part of 29 is 36?
    8·1 answer
  • Please Help!!!
    6·2 answers
  • Grams of fish
    8·2 answers
  • Please help me thank you
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!