Find AB
Round to the nearest tenth.

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:

4 hr and 30 minutes?

Step-by-step explanation:

You didnt really specify soo.    11    12    1   2   2:30

                                                 1hr   2hr  3hr 4hr  30 min

Answer:7:30

Step-by-step explanation:

Answer:

Step-by-step explanation:

m is the dependent variable; it represents the value of a linear function of k:

m = f(k) = k + 3

Answer:

x=2

Step-by-step explanation:

3*2=6

6-6=0

-12

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

[tex]V_{sk} = \frac{\pi r^{2}h}{3}[/tex]

Sharing size:

radius 3r, height h. So

[tex]V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h[/tex]

About how many times more popcorn does the sharing cone hold than the skinny cone?

[tex]r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9[/tex]

The sharing cone holds about 9 times more popcorn than the skinny cone.

4 points below the origin

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:

boo just search the formula dud

its A though

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:

5x - 17

Step-by-step explanation:

3 + 5x - 20

= 5x - 17

Answer:

  b) dV/dt = c * dT/dt

Step-by-step explanation:

Differentiating the equation with respect to time, you have ...

  V = cT

  dV/dt = c·dT/dt . . . . matches choice B

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

Answer:

12

Step-by-step explanation:

Area= base*height

Area= 6*2

Answer:

12cm

Step-by-step explanation:

hight & Base=6 cm & 2 cm

Formula for area: hight×base=6 cm×2 cm

12cm

N=8

1/2 x (8+4) = 6

1/2 x 12 = 6

Answer:

A. x - 4

D. x + 8

Step-by-step explanation:

To find the two binomial that are factors of the trinomial, you split the middle term into two:

[tex]x^2[/tex] + 4x - 32

[tex]x^2[/tex] - 4x + 8x - 32

Group:

([tex]x^2[/tex] - 4x)  (8x - 32)

Take out GCF (Greatest Common Factor):

x(x - 4)  8(x - 4)

(x + 8) (x - 4)

Answer:

Option B

Step-by-step explanation:

Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).

Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 12.3

For the alternative hypothesis,

µ > 12.3

This is a right tailed test.

The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.

Let us assume a significance level of 0.05.

Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.

The correct option would be

A) The startup company has strong evidence that their AAA batteries last longer, on average.

Answer:

B) (-3,4)

Step-by-step explanation:

I graphed the function on the graph below to show you that vertex of the function.

If this answer is correct, please make me Brainliest!

The answer is B because it appears on my graphing calculator as this.

Answer:

6/10

Step-by-step explanation:

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:

We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:

P = 1/5 = 0.20

Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.

The experimental probability is:

Pe = 111/300 = 0.37

You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.

Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.

The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.

Answer:

C

Step-by-step explanation:

The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!

Answer:

The answer is C

Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.

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

what how am I solving do I simplify

Answer:

10 6

................

Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269

Step-by-step explanation:

Answer:

About 296 households have more than three children.

Step-by-step explanation:

I got it right on edge

Answer:

34% of lightbulb replacement requests numbering between 47 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 52

Standard deviation = 5

Between 47 and 52:

52 is the mean and 47 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.

Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).

So

34% of lightbulb replacement requests numbering between 47 and 52

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: