Write an equation in slope-intercept form for the line that passes through (4,-4) and parallel to 3 +4x=2y-9

Answer:

a) 0.005% probability of a pregnancy lasting 308 days or longer

b) The pregnancy length that separates premature babies from those who are not premature is 229 days.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 250, \sigma = 15[/tex]

a. Find the probability of a pregnancy lasting 308 days or longer?

This is 1 subtracted by the pvalue of Z when X = 308. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{308 - 250}{15}[/tex]

[tex]Z = 3.87[/tex]

[tex]Z = 3.87[/tex] has a pvalue of 0.99995

1 - 0.99995 - 0.00005

0.005% probability of a pregnancy lasting 308 days or longer

b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.

The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.405 = \frac{X - 250}{15}[/tex]

[tex]X - 250 = -1.405*15[/tex]

[tex]X = -1.405*15 + 250[/tex]

[tex]X = 229[/tex]

The pregnancy length that separates premature babies from those who are not premature is 229 days.

Answer:

B

Step-by-step explanation:

If we dilate point P with point P as center, it would become a line parallel to line m

Answer:

The probability that all compressors are off = P(A ∩ B') = 0.18

Step-by-step explanation:

Event A is denoted to reciprocal compressor (R) that is always off.

Event B is denoted that at least one of the screw type of compressor is always on.

P(A) = Probability that the reciprocal compressor is off.

P(A') = Probability that the reciprocal compressor is on.

P(B) = Probability that at least one of the screw type of compressor is on.

P(B') = Probability that at least one of the screw type of compressor is off.

P(A ∩ B) = 45% = 0.45

P(A ∪ B) = 93% = 0.93

P(U) = P(A ∪ B) + P(A' ∩ B')

1 = 0.93 + P(A' ∩ B')

P(A' ∩ B') = 1 - 0.93 = 0.07

The probability that all compressors are off is given as P(A ∩ B')

P(A) = P(A n B') + P(A n B)

P(B) = P(A n B) + P(A' n B)

The question asks us to assume that all outcomes in event B are equally likely.

The possible outcomes in event B include

- The two compressors are on

- First compressor is on, second compressor is off

- Second compressor is on, first compressor is off

- both compressors are off

Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)

P(B) = P(A n B) + P(A' n B)

0.75 = 0.45 + P(A' n B)

P(A' n B) = 0.75 - 0.45 = 0.30

P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)

0.93 = P(A ∩ B') + 0.30 + 0.45

P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18

Hope this Helps!!!

Answer:

7/12 in exact form

Step-by-step explanation:

I think you just multiply the numerator by the resipical of the denominator.

Answer:

7/12

First use the reciprocal of 6

6 is equal to 6/1

The reciprocal is the fraction flipped over so 6/1 becomes 1/6 and vice versa

Multiply the 7/2 with the reciprocal of 6

7/2 x 1/6 = 7/12

Hope this helps

Step-by-step explanation:

Answer:

Hello,

45.8%

Step-by-step explanation:

67.7% x 67.7% = 0.677 x 0.677 = 0.677² = 0.458329 ≈ 45.8%

Answer:

  f(1) = -1

  f(n) = f(n-1) -1

Step-by-step explanation:

The first term is -1. Each term is 1 less than the previous. These equations say that.

  f(1) = -1

  f(n) = f(n-1) -1

Answer:

Step-by-step explanation:

Okay so basically what you need to do is find out how much you can take from 360, in this you you would add the two numbers (70+105) and subtract from 360.

Answer:

112.5

Step-by-step explanation:

To find the area of a parallelogram, you can simply multiply the length of the base by the height. In this case, this is 15*7.5=112.5 square centimeters. Hope this helps!

Answer:

Step-by-step explanation:

Answer:

The illustration is approximately 226 times larder than the actual pollen grain.

Step-by-step explanation:

First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.

This will be

[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide

The original width of the pollen is 0.027 cm.

Next,

We can take the width of the illustration to be 6.10 cm  wide.

After this,

To get the magnification factor, we will have to use the formula

Magnification = illustrated size/ actual size

This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times

Hence, the illustration is approximately 226 times larder than the actual pollen grain.

Answer:

MRCORRECT has answered the question

Step-by-step explanation:

Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.

Answer:

I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.

Step-by-step explanation:

Answer:

[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]  

Now we can find the p value using the alternative hypothesis with this probability:

[tex]p_v =P(z>0.462)=0.322[/tex]  

Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

Step-by-step explanation:

Information provided

n=100 represent the random sample selected

[tex]\hat p=0.77[/tex] estimated proportion of students that are satisfied

is the value that we want to test

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:  

Null hypothesis:[tex]p\leq 0.75[/tex]  

Alternative hypothesis:[tex]p > 0.75[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]  

Now we can find the p value using the alternative hypothesis with this probability:

[tex]p_v =P(z>0.462)=0.322[/tex]  

Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

Answer:

the equation is

[tex]x - 4 = y[/tex]

Answer:

15 units

Step-by-step explanation:

After doing research, I found the problem. Here is the right answer:

Answer:

It's 20 :)

Step-by-step explanation:

Just took it on Edge.

ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared

Step-by-step explanation:

Answer:

60 ft^2

Step-by-step explanation:

6x10

get off of the bathrrom floor jean you sicko

Answer:

6 x 10 = 60 ft.^2

(A = b h)

Step-by-step explanation:

Why is he laying on his bathroom floor/tub/whatever-

Area is base times height. (length times width, if you will)

10 x 6

      =60

The answer is A.) 25

The previous answer of 87 is wrong, and there is me to prove it below.

The deli can expect to approximately sell 25 flavored bagels during an hour when 50 plain bagels are sold.

A scatter plot is a plot containing points that are made using different cartesian coordinates. The line that passes approximately through these points is called the regression line.

To find the number of flavored bagels which is x, we have to substitute the value of y which is the number of plain bagels sold.

The equation is given as:

y = 1.731x + 6.697

Now substitute the value of y = 50:

50 = 1.731x + 6.697

43.303 = 1.731x

x = 43.303/1.731

= 25.016 ≈ 25 falvored bagels

Therefore, the deli can expect to approximately sell 25 flavored bagels during an hour when 50 plain bagels are sold. The correct answer is option A.

Learn more about scatter plots here: https://brainly.com/question/6592115

#SPJ2

Answer:

All answers in this set can be written in the form y=f(x).

Answer:

8.333333 each

Step-by-step explanation:

Answer:5/6 ounces

Step-by-step explanation:

9 pamlet weigh 7.5 ounces

Each pamlet weigh ______

Each pamlet weigh 7.5/9

Each pamlet weigh 5/6 ounces

Answer:

The answer is yes

Step-by-step explanation:

x-7 > 27

x> 27 +7

x > 34

Answer:

Yes

Step-by-step explanation:

We have the inequality:

x-7 > 27

To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.

x-7+7>27+7

x>34

So, your answer is correct

Answer:

The final volume is 320 mL at pressure of 100 kPa.

Step-by-step explanation:

Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

[tex]V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2[/tex]

Let

[tex]V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa[/tex]

We need to find [tex]V_2[/tex]. Using above equation, we get :

[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL[/tex]

So, the final volume is 320 mL at pressure of 100 kPa.

Answer:

238 ft

Step-by-step explanation:

7x24=168

7x10=70

168+70=238

lengthxwidthxheight

Answer:

C is the answer

Step-by-step explanation:

If you multiply 58 to 6 gives you 348

Hope this helps

Answer:

C

Step-by-step explanation:

77 feet^2

Explanation:

Area of the wall is

8 2/5 × 18 1/3

42/5 × 55/3

14/5 × 55/1

14/1 × 11/1 = 154 feet^2

The area we want is half of this

77 feet^2

Hope this helps and answer you question

Answer:

c

Step-by-step explanation:

Answer:

P=19.2 ft

Step-by-step explanation:

ACCORDING TO THE THEOREM,

BC=2(DE)

So BC =2(3.2)

BC=6.4 ft

Now

AB=2(EF)

AB=2(4)

AB=8 ft

Now

AC = 2(DF)

AC= 2(2.4)

AC=4.8 ft

Now we're gonna find the perimeter which is sum of all sides

Perimeter=4.8+8+6.4

P= 19.2 ft

Answer:

a is the correct option pls mark me as the brainliset

A. It is a proven fact that sometimes drawing it down will help you remember.

C. You could just write it down, simple as that.

F. People always doublecheck-it helps them go over to see if they made a mistake or anything.

Please, Brainliest?

Hope this helps.

Answer:

The constant 2.2 in L(D) represent the brightness in lumens per square inch.

Step-by-step explanation:

Answer:

I think it is 5,388,000, but I m not sure

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

Answer:

44 square units

Step-by-step explanation:

The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

[tex]A=\left(\dfrac{b_1+b_2}{2}\right)h[/tex]

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

[tex]b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13[/tex]

Putting it altogether:

[tex]A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44[/tex]

So the area of our trapezoid is 44.

Answer:

Step-by-step explanation:

Toni didn’t add it up correctly, so the real answer is 151