Hello, can you please help me solve this question ASAP!!!

Hello, Can You Please Help Me Solve This Question ASAP!!!

Answers

Answer 1

SOLUTION:

Step 1:

In this question, we have that:

Step 2:

Part A:

We are meant to show that the equation:

[tex]5sinx=1+2cos^2x[/tex]

can be written in the form

[tex]2sin^2\text{x + 5 sin x - 3=0}[/tex]

Proof:

[tex]\begin{gathered} \text{5 sin x = 1 + 2 cos }^2x\text{ } \\ \text{But cos}^2x+sin^2x\text{ = 1} \\ \text{Then,} \\ \cos ^2x=1-sin^2x\text{ } \\ \text{Hence,} \\ 5sinx=1+2(1-sin^2x_{}) \\ 5sinx=1+2-2sin^2x \\ 5sinx=3-2sin^2x \end{gathered}[/tex]

Re-arranging, we have that:

[tex]2sin^2x\text{ + 5 sin x - 3 = 0 }[/tex]

Part B:

b) Hence, solve for x in the interval:

[tex]0\text{ }\leq\text{ x }\leq\text{ 2}\pi[/tex]

Hello, Can You Please Help Me Solve This Question ASAP!!!
Hello, Can You Please Help Me Solve This Question ASAP!!!

Related Questions

What is the volume of the figure in cubic inches?

Answers

Solution

First, we need to convert the dimensions in feet to inches

[tex]\begin{gathered} \text{ since } \\ 1\text{ ft}=12\text{ inches} \\ \\ \Rightarrow1.5\text{ ft}=1.5\times12\text{ inches}=18\text{ inches} \\ \Rightarrow0.5\text{ ft}=0.5\times12\text{ inches}=6\text{ inches} \end{gathered}[/tex]

Hence, the volume is;

[tex]V=l\times b\times h[/tex]

[tex]V=4\times18\times6=432\text{ inches cubic}[/tex]

Divide 8 A) 3 B) 0) 7 16 D) 7. 32

Answers

Answer

3(1/2) or (7/2) or 3.5

Step-by-step Explanation

The question wants us to divide (7/8) by (1/4).

[tex]\frac{7}{8}\div\frac{1}{4}[/tex]

The first step to solving division when it comes to fractions is to change the division sign to multiplication sign, which changes the fraction after the division sign to its inverse.

That is, in changing ÷ into ×, (1/4) changes to (4/1)

So,

[tex]\begin{gathered} \frac{7}{8}\div\frac{1}{4} \\ =\frac{7}{8}\times\frac{4}{1} \\ =\frac{28}{8} \\ =\frac{7}{2} \\ =3\frac{1}{2} \end{gathered}[/tex]

Hope this Help!!!

simplify -5m²n³ × 15m⁴ n⁶

Answers

To simplify the given expression we will use the following property of exponents:

[tex]a^n\times a^m=a^{n+m}.[/tex]

Using the above property we get:

[tex]-5m^2n^3\times15m^4n^6=(-5\times15)m^{2+4}n^{3+6}=-75m^6n^9.[/tex]

Answer:

[tex]-5m^2n^3\times15m^4n^6=-75m^6n^9.[/tex]

HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST

Answers

[tex]-1\frac{3}{4}[/tex] is located at a point 1 on the number line.

1.1125 is located at point 6 on the number line.

14 / 8 is located at point 8 on the number line.

-0.875 is located at point 3 on the number line.

What are the locations of the numbers?

The numbers are made up of mixed fractions, improper fractions, decimals, positive numbers and negative numbers.

A mixed number is a number that has a whole number, a numerator and a denominator.  The numerator that has a smaller value than the denominator. and a proper fraction. . An example of a mixed number is 1 1/4. An improper fraction is a fraction in which the numerator is bigger than the denominator. An example of an improper fraction is 14/8.

A negative number is a number that is smaller in value than 0. Negative numbers would be to the left of zero on number line. An example of a negative number is -1.4. A positive number is a number that is greater in value than 0. Positive numbers are located to the right of 0 on the number line. An example of a positive number is 4.2.

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[tex]-1\frac{3}{4}[/tex] is located at a point 1 on the number line.

1.1125 is located at point 6 on the number line.

14 / 8 is located at point 8 on the number line.

-0.875 is located at point 3 on the number line.

What are the locations of the numbers?

The numbers are made up of mixed fractions, improper fractions, decimals, positive numbers and negative numbers.

A mixed number is a number that has a whole number, a numerator and a denominator.  The numerator that has a smaller value than the denominator. and a proper fraction. . An example of a mixed number is 1 1/4. An improper fraction is a fraction in which the numerator is bigger than the denominator. An example of an improper fraction is 14/8.

A negative number is a number that is smaller in value than 0. Negative numbers would be to the left of zero on number line. An example of a negative number is -1.4. A positive number is a number that is greater in value than 0. Positive numbers are located to the right of 0 on the number line. An example of a positive number is 4.2.

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Write the percent as fraction or mixed number in simplest form 750%

Answers

Answer

[tex]7\frac{1}{2}[/tex]

Explanation

The 750 percent as a fraction or mixed number in simplest form is calculated as follows:

[tex]750\%=\frac{750}{100}=\frac{75}{10}=\frac{15}{2}=7\frac{1}{2}[/tex]

I believe the answer to be c but I'm not the best at word problems this is a practice study guide.

Answers

In order to find the interval of values where 95% of the shoe sizes lie, let's find the values of z-score that represents 2.5% to the left and 2.5% to the right of the standard distribution curve:

Looking at the z-table for the probabilities of 0.025 and 0.975, we have z1 = -1.96 and z2 = 1.96.

Now, we can calculate the values that define the interval using the formula below:

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ -1.96=\frac{x-8.1}{1.47} \\ x-8.1=-2.88 \\ x=-2.88+8.1 \\ x=5.22 \\ \\ 1.96=\frac{x-8.1}{1.47} \\ x-8.1=2.88 \\ x=2.88+8.1 \\ x=10.98 \end{gathered}[/tex]

Therefore the correct option is the second one. (It's the only option with very close values to the ones calculated)

having trouble solving quadratic equations using factoring, examples are fine

Answers

Let's solve the quadratic equation using factorization:

x²-9x -22= 0

In order to solve using this method, we should beforehand factorize the polynomial:

The middle number is -9 and the last number is -22.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks? Let's think about two numbers that add up to -9 and multiply together to -22...

These numbers will be -11 and 2:

-11 +2= 9

-11*2= -22

So the factorization is:

(x+2)*(x-11) = 0

That means:

x + 2 =0

and

x - 11 = 0

Solving the equations:

x= -2

x= 11

S= {-2, 11}

A box is filled with 3 yellow cards, 2 blue cards, and 7 brown cards. A card is chosen at random from the box. What is the probability that it is a yellow or abrown card?Write your answer as a fraction in simplest form.

Answers

We need to find the probability of the card chosen at random is yellow or brown.

So, since there are 3 yellow cards and 7 brown cards, the total numbers of cards that are yellow or brown is:

[tex]3+7=10[/tex]

Now, the probability that the chosen card is yellow or brown can be found by dividing the above value by the total number of cards in the box.

The total number of cards in the box is:

[tex]3+7+2=12[/tex]

Thus, that probability is given by:

[tex]\frac{10}{12}=\frac{10\div2}{12\div2}=\frac{5}{6}[/tex]

Therefore, the answer is:

[tex]\frac{5}{6}[/tex]

There are 73 students in a classroom, and the desired ratio of students to computers is 6 to 1. How many computers are needed to achieve the desired ration?

Answers

Answer: 12

Explanation:

Given:

Total number of students in a classroom = 73

Ratio of students to computers = 6:1

To find the number of computers needed to achieve the desired ration, we use the ratio:

[tex]\begin{gathered} \frac{\text{Total number of students}}{\text{Total number of computers}}=\frac{6}{1} \\ We\text{ plug in what we know} \\ \frac{\text{7}3}{\text{Total number of computers}}=\frac{6}{1} \\ \text{Simplify and rearrange} \\ \text{Total number of computers = 73(}\frac{1}{6}) \\ \text{Calculate} \\ T\text{otal number of computers = }12.16\text{ =12} \\ \end{gathered}[/tex]

Therefore, the number of computers needed is 12.

I just need help finding the area of shape c.

Answers

We need to find the area of Shape C.

Please have a look at the diagram below:

To find x, we can use the Pythagorean Theorem on the right triangle.

[tex]\begin{gathered} 100^2+x^2=107^2 \\ \end{gathered}[/tex]

Now, let's solve for x. The steps are shown below:

[tex]\begin{gathered} 100^2+x^2=107^2 \\ x^2=107^2-100^2 \\ x^2=11449-10000 \\ x^2=1449 \\ x=\sqrt[]{1449} \\ x=38.07 \end{gathered}[/tex]

So, the top part (dotted line) is

[tex]\begin{gathered} x+100+x \\ =38.07+100+38.07 \\ =176.14 \end{gathered}[/tex]

Now, we have a trapezoid. Let's find the area of the trapezoid:

[tex]\begin{gathered} A=\frac{1}{2}(b_1+b_2)h \\ A=\frac{1}{2}(100+176.14)(100) \\ A=13,807 \end{gathered}[/tex]

Now, we need to subtract the area labeled (K) from the area of the trapezoid found.

--------------------------------------------------------------------------------

Area k is a triangle with side lengths 117, 117, and 176.14. Let's find the area of the triangle. The diagram is shown below:

Now, we will find h, the height of the triangle using Pythagorean Theorem.

[tex]\begin{gathered} 88.07^2+h^2=117^2 \\ h^2=117^2-88.07^2 \\ h^2=5932.6751 \\ h=\sqrt[]{5932.6751} \\ h=77.02 \end{gathered}[/tex]

The area of the triangle (region K) is,

[tex]\begin{gathered} A=\frac{1}{2}bh \\ A=\frac{1}{2}(176.14)(77.02) \\ A=6783.15 \end{gathered}[/tex]

The area of region C is the area of trapezoid - area of region k (triangle). So, the area is >>>>

[tex]\begin{gathered} A=13,807-6783.15 \\ A=7023.85 \end{gathered}[/tex]Answer7023.85

a standard Normal distribution, what percentage of observationnd the z-table here.4.95%5.48%6.06%95.05%

Answers

SOLUTION:

Case: Z-scores and probabilities

Given: z-score of standard normal distribution, z= 1.65

Required: To get the percentage of observation

Method: We will be reading it off the z-score table

Step 1: First we see what the table looks like

Step 2: From the table, we trace 1.65 by looking at 1.6 on the column title and 0.05 on the row title

Step 3: We observe the value is 0.4505

This translates to 45.05%.

However, we are interested in the values above the 45.05%. So everything from the left of that line to the 50th percentile is 45.05% of the populations. In addition to that you have another 50% of the people below the 50th percentile. That's a total of 95.05% below this z score

To get the z-score above this, we do:

1 - 0.9505

P(> z) = 0.0495 or 4.95%

Final answer:

A) The answer is 4.95%

In AOPQ, mZO = (6x – 14)°, mZP = (2x + 16)°, and mZQ = (2x + 8)°. Find mZQ.

Answers

[tex]\measuredangle Q=42[/tex]

Explanation

Step 1

the sum of the internal angles in a triangle equals 18o, so

[tex]\begin{gathered} (2x+16)+(6x-14)+(2x+8)=180 \\ 2x+16+6x-14+2x+8=180 \\ \text{add similar terms} \\ 10x+10=180 \\ \text{subtract 10 in both sides} \\ 10x+10-10=180-10 \\ 10x=170 \\ \text{divide both sides by 10} \\ \frac{10x}{10}=\frac{170}{10} \\ x=17 \end{gathered}[/tex]

Step 2

now, replace the value of x in angle Q to find it

[tex]\begin{gathered} \measuredangle Q=(2x+8) \\ \measuredangle Q=(2\cdot17+8) \\ \measuredangle Q=(34+8) \\ \measuredangle Q=42 \end{gathered}[/tex]

I hope this helps you

Question 23 of 25
What is the effect on the graph of f(x) = when it is transformed to
g(x) = +17?
A. The graph of f(x) is shifted 17 units down.
B. The graph of f(x) is shifted 17 units to the right.
OC. The graph of f(x) is shifted 17 units up.
OD. The graph of f(x) is shifted 17 units to the left.

Answers

Answer:

C. The graph of f(x) is shifted 17 units up.

Step-by-step explanation:

When + is outside the equation, it means up.

what does -1 3/4+4.7=

Answers

-1 3/4 + 4.7 = -1.75 + 4.7 = 2.95

3/4 = 0.75, so -1 3/4 is -1.75

-1.75 + 4.7 = 2.95

Answer: 2.95

Solve the inequality: y-5-20Which of the following is the graph of the solution?

Answers

Given the inequality:

[tex]y-5>-20[/tex]

Let's select the graph which represents the solution.

Let's solve the inequality.

Add 5 to both sides of the inequality:

[tex]\begin{gathered} y-5+5>-20+5 \\ \\ y>-15 \end{gathered}[/tex]

Since y is greater than -15, the graph of the inequality will be a number line which has an open dot at the point -15, then shaded to the right of the number line.

Therefore, the graph of the solution is:

ANSWER:

A

If Tanisha wants the top of the ladder to reach exactly 8 feet up the building, what is X, the distance between the building and the base of the ladder in feet?

Answers

Solution:

Given:

The right triangle can be sketched as shown below;

To get the distance between the building and the base of the ladder, we use the Pythagoras theorem since it is a right triangle.

[tex]\begin{gathered} \text{hypotenuse}^2=\text{adjacent}^2+\text{opposite}^2 \\ \\ \text{where;} \\ \text{hypotenuse}=10 \\ \text{adjacent}=x \\ \text{opposite}=8 \end{gathered}[/tex]

Hence,

[tex]\begin{gathered} \text{hypotenuse}^2=\text{adjacent}^2+\text{opposite}^2 \\ 10^2=x^2+8^2 \\ 100=x^2+64 \\ 100-64=x^2 \\ 36=x^2 \\ x=\sqrt[]{36} \\ x=6 \end{gathered}[/tex]

Therefore, the distance between the building and the base of the ladder in feet is 6 feet.

What is the prime factorization of 84.(A)2 x 3 x 7(B)2^2 X 3 X 7(C)2 X 21

Answers

Answer:

84=2^2 x 3 x 7

Explanation:

A prime number is any number that has only two factors: 1 and itself.

To find the prime factorization of 84, we are required to express it as a product of its prime factors.

[tex]\begin{gathered} 84=2\times42 \\ 84=2\times2\times21 \\ 84=2\times2\times3\times7 \\ =2^2\times3\times7 \end{gathered}[/tex]

Therefore, the prime factorization of 84 is:

84=2^2 x 3 x 7

write in point slpoe form an equation of the line that passes through th griven point and has the given slope (1, -3); m = 4

Answers

A linear equation in slope-point form looks like this:

y -y0= m(x-x0)

Where m is the slope of the line and (x0,y0) is a point of the line.

In this case, we know that the slope of the line equals 4 and that the line goes through the point (1, -3), then, we can substitute these values into the general form to get:

y-(-3) = 4(x-(1))

A rectangular pool is 7 meters wide and 12 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.

Answers

you would swim 15 meters

Answer: 15cm

Step-by-step explanation:

Your welcome

720÷5 WORK OUT NEEDED

Answers

144

Explanation:[tex]720\text{ }\div\text{ 5}[/tex]

working the division:

The process:

7 ÷ 5 = 1 R 2

add the 2 to the next number: this gives 22

22 ÷ 5 = 4 R 2

add 2 to the next number: this gives 20

20 ÷ 5 = 4 R 0

The result of 720 ÷ 5 = 144

Please help nobody knows the answer to my question. Round to 2 decimal places.

Answers

To answer this question we will use the z-score.

Recall that the z-score is given as follows:

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma}, \\ \text{where x is the observed value, }\mu\text{ is the mean, and }\sigma\text{ is the standard deviation.} \end{gathered}[/tex]

The z-score of 54 is:

[tex]z=\frac{54-50}{5}=\frac{4}{5}=0.8.[/tex]

The z-score of 56 is:

[tex]z=\frac{56-50}{4}=\frac{6}{5}=1.2.[/tex]

Now, the probability of flipping 54, 55, or 56 heads is the same as the following probability:

[tex]P(0.8Now, recall, that:[tex]P(aNow, from the given table we get that:[tex]\begin{gathered} P(0.8)=0.7881, \\ P(1.2)=0.8849. \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} P(0.8Answer: 0.10.

How many apple pies did they sell and how many blueberry pies did they sell?

Answers

Let the number of apple pies x

Let the number of blue pies y

Since they sold 38 pies on Saturday, then

Add x and y, then equate the sum by 38

[tex]x+y=38\rightarrow(1)[/tex]

Since they sold each apple pie for $11 and each blueberry pie for $13

Since they collected $460 on Saturday, then

Multiply x by 11 and y by 13, then add the products and equate the sum by 460

[tex]11x+13y=460\rightarrow(2)[/tex]

Now, we have a system of equations to solve it

Multiply equation (1) by -13 to equate the coefficients of y in values and opposite them in signs to eliminate them

[tex]\begin{gathered} (-13)(x)+(-13)(y)=(-13)(38) \\ -13x-13y=-494\rightarrow(3) \end{gathered}[/tex]

Add equations (2) and (3)

[tex]\begin{gathered} (11x-13x)+(13y-13y)=(460-494) \\ -2x+0=-34 \\ -2x=-34 \end{gathered}[/tex]

Divide both sides by -2

[tex]\begin{gathered} \frac{-2x}{-2}=\frac{-34}{-2} \\ x=17 \end{gathered}[/tex]

Substitute the value of x in equation (1) to find y

[tex]17+y=38[/tex]

Subtract 17 from both sides

[tex]\begin{gathered} 17-17+y=38-17 \\ y=21 \end{gathered}[/tex]

The y sold 17 apple pies and 21 blueberry pies

The answer is the last choice

Evaluate f(2) and f(2.1) and use the results to approximate f '(2). (Round your answer to one decimal place.)f(x) = x(9 − x)f '(2) ≈

Answers

Given a function f(x) = x(9 - x).

We need to find the value of f(2) and f(2.1) and use them to approximate the value of f'(2).

The value of f(2) is calculated below:

[tex]\begin{gathered} f(2)=2(9-2) \\ =2(7) \\ =14 \end{gathered}[/tex]

The value of the f(2.1) is calculated as follows:

[tex]\begin{gathered} f(2.1)=2.1(9-2.1) \\ =2.1(6.9) \\ =14.49 \end{gathered}[/tex]

Now, by the definition of f'(x), we know that

[tex]f^{\prime}(x)=\frac{f(x+\Delta x)-f(x)}{(x+\Delta x)-x}=\frac{f(x+\Delta x)-f(x)}{\Delta x}[/tex]

For the given condition, x = 2, and delta x = 0.1. So, the value of f'(2) is

[tex]\begin{gathered} f^{\prime}(2)=\frac{f(2+0.1)-f(2)}{0.1} \\ =\frac{f(2.1)-f(2)}{0.1} \\ =\frac{14.49-14}{0.1} \\ =\frac{0.49}{0.1} \\ =4.9 \end{gathered}[/tex]

Thus, the approximate value of f'(2) is 4.9.

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

Answers

50 X 5 X 3

answer divide

by 36

Let a represent the row number in this pattern. Write a rule that tells you the number of dots, d, in row n (Hint: Your rule should begin with "d=") Row 1 Row 2 Row 3 Row 4​

Answers

The rule to show the number of dots in the pattern is

d = 2a

What is a pattern?

A pattern is a repetition of items, when the repetition is in ordered then the pattern can be forecasted.

The given pattern is ordered by the rule at which it was formed. The rule helps to forecast the number of dots in the next row

How to get the rules of the pattern

The information given in the question include:

Let a represent the row number in this patternA picture image shoeing the rows and dotsYour rule should begin with "d="

row 1 = 2 dots

row 2 = 4 dots

row 3 = 6 dots

it can be seen that

2 * number of rows  = number of dots

Hence:

d = 2 * a

d = 2a

checking the rule for the 4th row

d = 2 * 4

d = 8

counting the dots confirms the rule is okay

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Jacob opened his piggy bank and found Nickels, Dimes, and Quarters totaling 81 coins. The total value of the coins was $7.90. The number of Dimes was 7 less than triple the number of Quarters. Write a system of equations that represents this situation. Use N, D, and Q.

Answers

A Nickel is 5 cents = 5/100 = $0.05

A dime is 10 cents = 10/100 = $0.1

A quarter is 25 cents = 25/100 = $0.25

Let N represent the number of nickels

Let D represent the number of dimes

Let Q represent the number of quarters

Jacob opened his piggy bank and found Nickels, Dimes, and Quarters totaling 81 coins. It means that

N + D + Q = 81

The total value of the coins was $7.90. It means that

0.05N + 0.1D + 0.25Q = 7.9

The number of Dimes was 7 less than triple the number of Quarters. It means that

D = 3Q - 7

The system of equations is

N + D + Q = 81

0.05N + 0.1D + 0.25Q = 7.9

D = 3Q - 7

If 6 is subtracted from the third of three consecutive odd integers and the result is multiplied by 2, the answer is 23 less then the sun if the first and twice the second of the integers

Answers

[tex]\begin{gathered} \text{Let }x\text{ be the first odd integer, then it goes that} \\ x+2\rightarrow\text{second odd integer} \\ x+4\rightarrow\text{third odd integer} \\ \text{If 6 is subtracted from the third of three consecutive odd integer, translates to} \\ (x+4)-6\Rightarrow x+4-6\Rightarrow x-2 \\ \text{and the result is multiplied by 2, which translates to} \\ (x-2)\cdot2\Rightarrow2x-4 \\ \text{the answer is 23 less than the sum of the first and twice of the second integers} \\ (x)+2(x+2)\rightarrow x+2x+4\rightarrow3x+4 \\ (3x+4)-23 \\ 3x-19 \\ \text{equate them both sides and we have} \\ 2x-4=3x-19,\text{ left hand is the first part, right hand is the second part} \\ \text{solve for }x \\ 2x-4=3x-19 \\ -4+19=3x-2x \\ 15=x \\ x=15 \\ \text{so the three odd integers are, } \\ x=15 \\ x+2=17 \\ x+4=19 \\ 15,17,19 \end{gathered}[/tex]

Does anyone know the answer to this?

Answers

The most appropriate choice for equation of line in slope intercept form will be given by

x + 2y = -16 is the required equation of line

What is equation of line in slope intercept form?

Equation of line in slope intercept form is given by y = mx + c

Where, m is the slope of the line and c is the y intercept of the line

The distance from the origin to the point where the line cuts the x axis is called x intercept

The distance from the origin to the point where the line cuts the y axis is called y intercept

Slope of a line is the tangent of the angle which the line makes with the positive direction of x axis

If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

[tex]m=tan\theta[/tex]

If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex])

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

The line passes through (0, -8) and (-2, -7)

Slope =

[tex]\frac{-7 -(-8)}{-2-0}\\-\frac{1}{2}[/tex]

The line passes through (0, -8)

Equation of line

[tex]y - (-8) = -\frac{1}{2}(x - 0)\\\\y + 8 = -\frac{1}{2}x\\2y + 16 = -x\\x + 2y = -16[/tex]

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I need help with a word problem in algebra 2 please

Answers

We were given the following information:

Plan 1

Cost = $175

It has unlimited call & texts as well as 15gb

Plan 2

Cost = $50 per month

It has unlimited call & texts as well as 6gb

After 6gb, data is charged $5 per gb

From this we have the following equations:

[tex]undefined[/tex]

A simple random sample from a population with a normal distribution of 98 body temperatures has x=98.20°F and s=0.61°F. Construct a 99% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. °F

Answers

from the question;

we are to construct 99% confidence interval. this can be done using

[tex]\bar{}x\text{ }\pm\text{ z}(\frac{s}{\sqrt[]{n}})[/tex]

where,

[tex]\bar{x}\text{ = }98.20,\text{ s = 0.61, n = 98 z= 2.576}[/tex]

inserting values

[tex]\begin{gathered} 98.20\text{ }\pm2.576\text{ }\frac{0.61}{\sqrt[]{98}} \\ 98.20\text{ }\pm\text{ 2.576}\times0.0616 \\ =\text{ 98.20 }\pm\text{ }0.159 \\ =98.20\text{ + }0.159\text{ or 98.20 - 0.159} \\ =\text{ 98.359 0r 98.041} \end{gathered}[/tex]

therefore the 99% confident inter vale is between 98.041 to 98.359

Other Questions
Use the table to answer the question. Number of cases ordered Number of rolls of paper towels 1 12 3 36 5 60 10 120 A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair like most economists, dr. herbert agrees with the efficient market hypothesis. in turn, when discussing the stock market, dr. herbert informs his students that: Jayden multiples -4yx 1/5y and gets an answer of -4/5y. How can you tell without multiplying that his answer is incorrect if the velocity of a pitched ball has a magnitude of 43.5 m/sm/s and the batted ball's velocity is 56.0 m/sm/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat. terms used to describe factors (or sets of factors) that limit population size include group of answer choices density-dependent and independent limiting factors. extrinsic and intrinsic limiting factors. all of these are correct. environmental resistance. m=p*Vwe havep=m/VSolve for mThat means-----> isolate the variable mMultiply both sides by Vp*V=(m/V)*VSimplifyp*V=mrewritem=p*V How can a balanced reciprocal translocation that does not cause the person to have an abnormal phenotype cause that persons offspring to have an abnormal phenotype?. Video Games and Physical Health Joseph Green states that: Question 1 options: playing video games always leads to health problems video games help people be more active. video games hurt peoples health. the pain of playing video games for too long last forever. Which of the following is an example of Newton's third law of motion?A. A skydiver slows down when her parachute opens.B. A grocery cart moves forward when it is pushed.C. A cannon recoils backwards when it is fired.D. A rolling rock slows down due to friction. Ms. Wong sold 28 cars. She sold 8 fewer cars that 3/4 as many cass as Mr. Diaz. Which equation can be used to find the number of cars that Mr. Diaz sold,c? Home Hardware reported beginning inventory of 30 shovels, for a total cost of $210. The company had the following transactions during the month:January 2 Sold 8 shovels on account at a selling price of $8 per unit.January 16 Sold 12 shovels on account at a selling price of $8 per unit.January 18 Bought 4 shovels on account at a cost of $7 per unit.January 19 Sold 12 shovels on account at a selling price of $8 per unit.January 24 Bought 12 shovels on account at a cost of $7 per unit.January 31 Counted inventory and determined that 10 units were on hand.Prepare the journal entry:At month end, counted inventory and determined that 10 units were on hand. Record the "book-to-physical" adjustment. Two points ___________ create a line.A. sometimesB. neverC. alwaysD. not enough information clint is a very confident person who tends to take charge when he has been assigned to a group task. which of the big 5 factors of personality would clint likely score high in? a. agreeableness b. conscientiousness c. openness d. extraversion pls help due now!!!!!!!!!! The substance that enters the active site is called theA. InhibitorB. SubstrateC. MoleculeD. Stimulator Of the three carotenoids that can be converted to retinol in the body, ______ is the only one that can be sufficiently absorbed and converted into retinol in the body. suppose you deposit $200 today into a bank account with a variable interest rate and will receive a payment in one year. true or false: if during the year the interest rate rises, this increases the future value of your investment. How many times in the parabola does a line intersect? in 2022, campbell, a single taxpayer, has $95,000 of profits (net of the deduction for self-employment taxes, the self-employed health insurance deduction, and the deduction for contributions to qualified self-employment retirement plans) from her general store, which she operates as a sole proprietorship. she has no employees, $40,000 of qualified property, and $50,000 of taxable income before the deduction for qualified business income. how much is campbell's deduction for qualified business income? oprah winfrey hosted a television talk show, starred in motion pictures, and launched her own cable network. winfrey has had great success in many areas of