A story in the National Enquirer claimed that women who skip breakfast are more likely to give birth to baby girls, whereas women who eat breakfast are more likely to have baby boys. A skeptical researcher tested this by taking a sample of pregnant women who already knew the gender of their baby and asking them whether they ate breakfast each day or not. What are the odds of having a boy if you eat breakfast

Answer:

382 cm²

Step-by-step explanation:

The shape can be decomposed into two rectangular prism or cuboids

✔️Dimension of prism 1 (smaller prism):

L = 10 cm

W = 3 cm

H = 7 - 4 = 3 cm

Surface area of prism 1 = 2(LW + LH + WH)

= 2(10*3 + 10*3 + 3*3)

= 2(69)

Surface area of prism 1 = 138 cm²

✔️Dimension of prism 2 (larger prism):

L = 10 cm

W = 8 cm

H = 4 cm

Surface area of prism = 2(LW + LH + WH)

= 2(10*8 + 10*4 + 8*4)

= 2(152)

Surface area of prism 2 = 304 cm²

✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)

= (138 + 304) - (2 × L × W)

= 442 - (2 × 10 × 3)

= 442 - 60

= 382 cm²

Answer:

$229.73

Step-by-step explanation:

5 Pair of jeans = 127.63

divide by 5 to get 1 pair of jeans.

1 pair of jeans = 25. 526 rounded 25.53

times 9 to get to 9 pair of jeans.

9 pair of jeans = 229. 734 rounded 229.73

Answer:   1. 29/8

                2. 37.72

                3. 24

Step-by-step explanation:

1. x + 1 3/8 = 2 1/4

              x = 21/4 - 13/8

              x = 42/8 - 13/8           [set the denominator equal]

              x = 29/8

2. 13.27 = t - 24.45

Rewrite the function as t - 24.45 = 13.27

                                                   t  = 13.27 + 24.45

                                                   t  = 37.72              

3.  9 = 3/8 × y

Rewrite as 3/8 x y = 9

                            y = 9/ (3/8)

                            y = 9 x (8/3)

                            y = 24

Answer:

150000000000

Step-by-step explanation:

1.5x10¹¹

= 150000000000

You can think about scientific notations by moving the position of the 'dot' 11 times to the right

Answer:

Right square pyramid

Volume:

Surface area:

Answer:

Step-by-step explanation:

This is an isosceles triangle with base of 21 and sides of 28.

Area formula

Find height:

Area:

Answer:

height be 4 in

length be 9 in

ANd, the width be 7 in

Step-by-step explanation:

Let us assume the height of the box be x

So the length would be 2x + 1

And, the width be x + 3

As we know that

The volume of the rectangular box = length × width × height

252 = (2x + 1) × (x + 3) × (x)

252 = (2x^2 + x) × (x + 3)

252 = 2x^3 + 6x^2 + x^2 + 3x

2x^3 + 7x^2 + 3x = 252

2x^3 + 7x^2 + 3x - 252 = 0

after solving this

x = 4

So height be 4 in

length be 9 in

ANd, the width be 7 in

Answer: 53

Step-by-step explanation:

Hope this helps!

Answer:

d metamorphosis

Step-by-step explanation:

Answer:

10(7q + 6)

Step-by-step explanation:

I hope this helps!

Answer:one of them is m=3/1 y=3x+10

Step-by-step explanation:i

Answer:

for first one

√8²+4²=24

6²=36 not right angled triangle

so it is obtuse TRAINGLE

Step-by-step explanation:

for second one

it is acute TRAINGLE

Answer:

6^7

Step-by-step explanation:

6^8 x 6^-1

6^{8-1}

6^7

Answer: No it can't

You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.

Hope this helped you!

Answer:

540 feet

Step-by-step explanation:

[tex]\frac{36}{100} = \frac{x}{1500}[/tex]  Cross multipy

100x = 54000

54000/100 = 540

x = 540

Answer:

61

Step-by-step explanation:

2w + 43 = ?, w = 9

Answer:

a) The insurance should be of 84.6 months, that is, approximately 85 months.

b) 0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

c) The expected loss to the insurance company is of 2.18 million.

d) The company should expect to make a profit of $689,200.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions 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.

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months.

This means that [tex]\mu = 90, \sigma = 3.5[/tex]

A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?

The 100 - 94 = 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

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

[tex]-1.555 = \frac{X - 90}{3.5}[/tex]

[tex]X - 90 = -1.555*3.5[/tex]

[tex]X = 84.6[/tex]

The insurance should be of 84.6 months, that is, approximately 85 months.

B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?

This is the pvalue of Z when X = 84. So

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

[tex]Z= \frac{84 - 90}{3.5}[/tex]

[tex]Z = -1.71[/tex]

[tex]Z = -1.71[/tex] has a pvalue of 0.0436

0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?

0.0436 probability of losing 50 million. So

0.0436*50 = 2.18

The expected loss to the insurance company is of 2.18 million.

D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?

1 - 0.0436 = 0.9564 probability of making 3 million.

0.0436 probability of losing 50 million

So

[tex]E = 0.9564*3 - 0.0436*50 = 0.6892[/tex]

The company should expect to make a profit of 0.6892 million, that is, $689,200.

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:

[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)

[tex]s = 2\pi\cdot r[/tex] (2)

Where [tex]r[/tex] is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]

[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:

[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]

[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)

Where:

[tex]s[/tex] - Measure circumference, in centimeters.

[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.

If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:

[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Answer:

About 40% of students own a cat

Step-by-step explanation:

Answer:

The is A) 91

Step-by-step explanation:

Answer:

Enter date and time information at "From:"

Select a month and a day. Enter a year.

The year entered must be a positive number. Not zero (0).

Enter hours and minutes. Select am or pm.

The hours entered must be a positive number between 1 and 12 or zero (0).

The minutes entered must be a positive number between 1 and 59 or zero (0).

Add or Subtract Line

Enter number of days, hours and minutes

Select "add" or "subtract"

If you type "ghblxz", in the year box the computer will print "0"

If you type "1.9e2", the computer will use "190" to calculate the answer.

If you select "February 31", the computer will print "Not a Day"

Click "Click to Calculate" button. The calculated date and time will appear.

NaN = not a number

To clear the entry boxes click "Reset

Answer:

2 x 2 x 2.38

2 x 2.1 x 2.26

6 x .31 x 5.118

Answer:

it will be D i seen this before

Step-by-step explanation:

Answer:

x=2 and y=6

Step-by-step explanation:

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

"It is a triangle having one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2