Mary wishes to estimate the mean height of women aged 18-24. She picks a sample of 100
women aged between 18 and 24 and constructs a 99% confidence interval for the
population mean. If she were to repeat this procedure 200 times in total, she would obtain
200 different confidence intervals. How many of these intervals would you expect to
contain the population mean, u? Explain your thinking.

The perimeter of the square is 40m

The formula for calculating the area of a square is given as;

A =  a²

Given that;

Substitute the value

100 = a²

Find the square root of both sides

a = 10m

The formula for the perimeter of a square is expressed as;

Perimeter = 4a

Substitute the value into the formula;

Perimeter = 4(10)

expand the bracket

Perimeter = 40 m

Hence, the value is  40 m

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Answer:

3.2 x 10² seconds

Step-by-step explanation:

9.6 x 10⁷ / 3.0 x 10⁵

= 3.2 x 10² seconds

Hope it's helpful!!

Answer:

Step-by-step explanation:

Complete the statement. Round to the nearest hundredth if necessary.

9 mi ≈

 km

.65 * 120 = 6.5 * 12 = 65 * 1.2 = 65 + 13 = 78 students ate pizza

double check

78 / 120 = 0.65

please give brainliest

Answer:

n≈9

n=9.015625

Step-by-step explanation:

64(n+2)=141(5)

Break up the parenthesis.

64n+128=705

Subtract 128 from both sides.
64n=577

Divide 64 from both sides.

577/64

Then you get your answer.

n≈9

Answer: She had 167.57 remaining in her account

Step-by-step explanation:

You add all her expenses and then subtract it from the beginning balance

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

$41 cents

Step-by-step explanation:

$8 divided by $3.35 equals $0.41 cents

Answer:

1.5333333

Step-by-step explanation:

7 1/3 + 5 4/5 = 23/15 =1 8/15 =1.53

The 10th term of the sequence is 7,257,600. Option D.

To find the 10th term in the sequence, we can use the pattern to generate the next terms:

The first term is 2.

Therefore, to get the 10th term, we can multiply the fifth term by 6, then by 7, then by 8, and then by 9:

Therefore, the 10th term in the sequence is 7,257,600.

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Answer:

47 dollars.

Step-by-step explanation:

The surface area of the figures are

Pyramid = 96 ft²

Square base prism = 552 ft²

Cube = 216 ft²

Total surface area = 756 ft²

To find the surface area of different shapes, you can use specific formulas depending on the shape.

Here are the formulas used for each shape:

Pyramid:

Surface Area = Base Area + (1/2 × Perimeter × Slant Height)

Base Area =  6² = 36 ft²

Perimeter = 4(6) = 24 ft

Slant Height = √3² + 4² = √9 + 16 = √25 = 5 ft

Surface Area = 36 + (1 / 2 × 24 × 5) = 96 ft²

Square base prism:

Surface Area = 2(Base Area) + (Perimeter of Base × Height)

Base Area = 36

Perimeter of Base = 4(6)= 24

Height = 20

Surface Area = 2(36) + (4 * 6) * 20 = 552 ft²

Cube

The surface area of the cube  = 6 x length² = 6 × 6² = 6 × 36 = 216 ft²

Total surface area

Total surface area = 96  ft² + 552  ft² + 216  ft²= 864 ft²

corrected total surface area = 864 ft² - 36 ft²  - 36 ft² - 36 ft² = 756 ft²

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2,673 minus 281 is 2,392.

2,392 divided by 2 is 1,196.

1,196 plus 281 is 1,477.

Answer: Ricky hit 1,196 and Pedro hit 1,477.

E=egg farm

x=distantce between  the Berto´s trains and the meeting point.

t=time where the trains meet up

⇒110 miles/h                                          ⇒85miles/h

[---------------------------E----------------------]-------------------------------------X

[............12 miles.......][........34 miles.....][------------ x ----------------------]

distance between Berto´s train and Eduardo´s train=

=12 miles+34 miles=46 miles.

S=d/t      ⇒d=S*t

S=seed

d=distance

T=time

Eduardo´s train;

46 miles+x=t*110 miles/h  ⇒x=t*110 miles/h-46 miles  (1)

Berto´s train;

x=t*85 miles/h  (2)

With the equations (1) and (2) we suggest this system equations:

x=t* 110 miles/h-46 miles

x=t*85 miles/h

we solve this system equiations :

t*110 miles/h-46 miles=t*85 miles/h

110t miles/h-85t miles/h=46 miles

25 t miles/h=46 miles

t=46 miles/25 miles/h=1,84 hour  (≈1 hour, 50 minutes, 24 seconds)

x=t*85 miles/h=156,4 miles

Solution: 1,84 hour

Answer:

1.84

Step-by-step explanation:

I did it on edge it was correct

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Martin is heading to his house

Answer:

53°

Step-by-step explanation:

Of the two lines are parallel then x = 53°

Answer:

D. Obtuse

Step-by-step explanation:

Answer:

Obtuse

Step-by-step explanation:

An obtuse angle is anything that is greater than 90 degrees but less than 180. If it was 180 the angle would be flat but if it was 90 it would be right. Because this is in the middle it is obtuse.

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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This question is incomplete , I am answering this question in general as per my knowledge.

No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.

The expected,

T(‘‘user2012813",‘‘discrete math")=true

However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess

T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL

Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.

Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.

Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.

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Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

The volume will be 64 times larger.

Explanation:

When you multiply two single dimensions, such as length and width, the units will change from units to units squared (example: 2 ft * 2 ft = 4 ft^2). Similarly, When you multiply three single dimensions the units will change from units to units cubed (example: 2 ft * 2 ft * 2 ft = 8 ft^3). You can use the exponents as a trick to solve this type of question. For example, in this case, volume means that you are multiplying three single dimensions. Therefore, the end result will be units cubed. If each dimension is multiplied by four, you can cube the factor to find how many times larger the volume will be: 4^3 = 64.

TLDR: Since there are three dimensions, multiply 4 by itself three times to get the answer: 4 * 4 * 4 = 64.

In case I explained it badly, here is a more mathematical method to find the answer:

The formula for volume:

V = l * w * h

When you multiply each dimension by 4:

V = (4 * l) * (4 * w) * (4 * h)

Rearrange with the Commutative Property of Multiplication:

V = (4 * 4 * 4) * (l * w * h)

Simplify:

V = 64 * l * w * h

Therefore, the volume is 64 times greater.

Answer:

B) Line 2

i hope this work for you

and sory if im wrang

Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

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

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Answer: I think it is -5, but im not very sure srry

Step-by-step explanation:

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

\((45x) \degree = (25x)\degree + (57 + x)\degree \\ \{{ \sf{external \: angle \: is \: equal \: to \: interior \: angle \: sum \}}} \\ 45x - 25x - x = 57 \\ 19x = 57 \\ { \underline{ \underline{ \: \: x = 3 \: \: \: }}}\)