The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.

a. Find the 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.

Answer:

F(-10)=186

Step-by-step explanation:

F(-10)=2(-10)^2+(-10)-4

F(-10)=2*100+(-14)

F(-10)=200-14

Therefore, F(-10)=186

Answer:

The answer is 186

Step-by-step explanation:

Answer:

[tex]x \geq 3(y + z)[/tex]

Step-by-step explanation:

I am going to say that:

Mary's amount is x.

Ashley's amount is y.

Oscar's amount is z.

Mary has at least 3 times the amount of cash that ashley and oscar have combined

Ashley's and Oscar's combined amount is y + z.

3 times this amount is 3(y + z).

At least 3 times means that z is equal or greater than 3(y + z).

So

[tex]x \geq 3(y + z)[/tex]

Answer:

Yes.

Step-by-step explanation:

They are equivalent because if you divide 19 by 8, the result is 2.375.

Answer:

yes

Step-by-step explanation:

convert 19/8 into a decimal:

[tex]\frac{19}{8}[/tex]=2.375

2.375=2.375

Hope this helps!

Answer:

[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]

Step-by-step explanation:

They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0

Answer:

0

Step-by-step explanation:

This equation actually has more than one equal sign

Answer:

h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))

Step-by-step explanation:

h(x) = ln x / √(x² + 1)

You can either use quotient rule, or you can rewrite using negative exponents and use product rule.

h(x) = (ln x) (x² + 1)^(-½)

h'(x) = (ln x) (-½) (x² + 1)^(-³/₂) (2x) + (1/x) (x² + 1)^(-½)

h'(x) = (-x ln x) (x² + 1)^(-³/₂) + (1/x) (x² + 1)^(-½)

h'(x) = (x² + 1)^(-³/₂) (-x ln x + (1/x) (x² + 1))

h'(x) = (1/x) (x² + 1)^(-³/₂) (-x² ln x + x² + 1)

h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))

Solution:

h(x) = ln(x)/√x^2+1

h(x) = ln(x) * (x^2 + 1)^-1/2

h(x) = ln(x) * (-1/2) * (x^2 + 1)^-3/2 * 2x + 1/x * (x^2 + 1)^-1/2

h(x) = -x ln(x) * (x^2 + 1)^-3/2 + 1/x * (x^2 + 1)^-1/2

h(x) = (x^2 + 1)^-3/2 * (-x ln(x) + 1/x * (x^2 + 1))

h(x) = -x^2ln(x)+x^2+1/(x(x^2+1)^3/2)

Best of Luck!

Answer:

I hope this helps. Have a great rest of your day!

Do you mind showing the answer choices? I just realized you had "Choose 2 answers".

Answer:

x times y- q

Step-by-step explanation:

You can use the letters they give you on the answer choices. My answer makes sense because you multiply 48 times 15 and then subtract 32 from it

Answer:

[tex]209.43 \: \: {units}^{3} [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ = \pi \times {5}^{2} \times \frac{8}{3} \\ = 209.439[/tex]

Answer: it is -1

Step-by-step explanation:

5*5x=25x

5*3=15

25x+15=-10

25x= -10-15

25x= -25

X=-25/25

= -1

Answer:

36.6666666667

Step-by-step explanation:

3(12)+2/3

Answer:

B. 1/3 multiplied by k=7

Step-by-step explanation:

7 ÷ ⅓ = k

Multiply both sides by ⅓

7 ÷ ⅓ × ⅓ = k × ⅓

7 = k × ⅓

Answer: (x-1)² + (y-2)² = 6.25

Step-by-step explanation:

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. The center of this circle is (1,2) and the radius is 2.5, so the equation of this circle would be (x-1)² + (y-2)² = 6.25

Answer:

(x-1)² + (y-2)² = 6.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

P=2(a+b)

2(26+25)

=102 ans

Answer:

102 cm

Step-by-step explanation:

P=2(a+b)

P = 2(26+25)

= 2 * 51

= 102

Answer:

You are correct

Step-by-step explanation:

x - 8 < 23

Add 8 to both sides

x - 8 + 8 < 23 + 8

Simplify

x < 31

Yes, you are correct.

Answer:

22.5%

Step-by-step explanation:

Answer:

  56√2 ≈ 79.20

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...

  s·√2 = 28

  s = 28/√2

The perimeter is 4 times the side length, so is ...

  P = 4s = 4·28/√2

  = 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator

  = 56√2 ≈ 79.195959

The perimeter of the square is 56√2, about 79.20 units.

Answer:

So Sara can fill 24 pint bottles completly with 3 gallons of juice.

Step-by-step explanation:

This question can be solved using a rule of three.

Each pint has 0.125 gallons. How many pints are 3 gallons?

1 pint - 0.125 gallons

x pints - 3 gallons

[tex]0.125x = 3[/tex]

[tex]x = \frac{3}{0.125}[/tex]

[tex]x = 24[/tex]

So Sara can fill 24 pint bottles completly with 3 gallons of juice.

Answer:

119000

Step-by-step explanation:

The median is the middle value when placed from smallest to largest

95000, 112000, 126000, 13000

The middle is between 112000 and 126000 so take the average

(112000+126000)/2 =238000/2 =119000

Answer:

On a full tank of gas, Tommy can drive a distance:

D = 22 x 16 = 352 miles

Hope this helps!

:)

Answer:352 miles

Step-by-step explanation:

1 gallons for 16 miles

22 gallons for ______

For 22 gallons 22x16=352 miles

Answer:

There are two solutions:

x = 5/2 = 2.500

x = 8

Step-by-step explanation:

Answer:

7 yds

Step-by-step explanation:

The area of a rectangle is

A = l*w

70 = 10*y

Divide each side by 10

70/10 = 10y/10

7 = y

Answer:

7

Step-by-step explanation:

To find Area is Length x Width

The Length is 10 and the Area is 70

70= 10x

Divide both sides by 10

70/19=7

Answer:

i think its newton.

Step-by-step explanation:

Answer:

As shown in the picture, the volume of solid is

V = Rectangular prism - half cylinder

Hope this helps!

:)

Answer:

Last option

Step-by-step explanation:

It's a cuboid/rectangular prism

The curve on top is due to half a cylinder being removed

Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

  (-2, -4) and (2, 0)

The latter of these corresponds to choice D, the one you have marked.

Answer:

Step-by-step explanation:

To undo the division of p by 3, one multiplies by the inverse of 1/3. That is, one multiplies by 3.

Then you have ...

  3(p/3) = 3(12)

  p = 36 . . . . . simplify

To check this work, you can substitute 36 for p:

  36/3 = 12 . . . . . true statement

So, the solution process is ...

  multiply both sides of the equation by 3

  substitute 36 for p to check the work

Answer:

Step-by-step explanation:

I took the assignment and it's correct :)

Good luck ;)

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:

x = ±8

Step-by-step explanation:

x^2 = 64

Take the square root of each side

sqrt(x^2) = ±sqrt(64)

x = ±8

Answer:

The mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

Step-by-step explanation:

Total number of cards presented to the contestants, N = 4.

Number of cards that has a star printed on it is, x = 1.

The probability of selecting the correct card is:

[tex]P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

It is provided that each contestant attempts to identify which card has the star on it for a series of n = 50 trials.

Each trial's outcome is independent of other outcomes.

The success of each trial is denoted by the correct selection of the card with a star.

The random variable X can be explained by the Binomial distribution.

So, X follows a Binomial distribution with parameters n = 50 and p = 0.25.

The mean and standard deviation of a Binomial distribution are:

[tex]\text{Mean}=np\\\\\text{SD}=\sqrt{np(1-p)}[/tex]

Compute the mean and standard deviation of the number of trials where the contestant guesses correctly as follows:

[tex]\text{Mean}=np=50\times 0.25=12.50\\\\\text{SD}=\sqrt{np(1-p)}=\sqrt{50\times 0.25\times (1-0.25)}=3.062[/tex]

Thus, the mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

[tex]N = 4[/tex] is the overall number of points distributed to the contestant, [tex]x = 1[/tex] reflects the number of decks with a star on them. The probability of selecting the correct card is as follows:

         [tex]\to P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

         [tex]\to \text{Mean =np}\\\\\to \text{SD}=\sqrt{np(1-p)}\\\\[/tex]

         [tex]\to \text{Mean =np}= 50 \times 0.25= 12.5\\\\[/tex]

             [tex]\to SD=\sqrt{np(1-p)}[/tex]

                        [tex]=\sqrt{50 \times 0.25 \times (1-0.25)}\\\\=\sqrt{50 \times 0.25 \times (0.75)}\\\\= \sqrt{12.5 \times 0.75}\\\\=\sqrt{9.375}\\\\=3.061[/tex]

As just a result, the standard deviation of the number most right guesses by the competitor are [tex]12.50 \ \ and\ \ 3.061[/tex], correspondingly.

Learn more about the contestant guesses:

brainly.com/question/1302166

Answer:

.16 = 16/100= 8/50= 4/25

Step-by-step explanation:

Answer:

decimal: 0.16

fraction: 4/25

percentage: 16%

Step-by-step explanation: