Find the indicated measure(part 3)
I will give brainliest to the right answer with solution​

Find The Indicated Measure(part 3)I Will Give Brainliest To The Right Answer With Solution

Answers

Answer 1

Answer:

VU = 120° , WX = 100°

Step-by-step explanation:

(7)

An inscribed angle is half the measure of its intercepted arc , or

the intercepted arc is twice its inscribed angle, then

arc TV = 2 × 30° = 60°

the diameter is TU then arc TU = 180°

the sum of the arcs in the circle = 360° , so

VU + TV + TU = 360°

VU + 60°  + 180° = 360°

VU + 240° = 360° ( subtract 240° from both sides )

VU = 120°

(8)

WY = 2 × 75° = 150°

WX + WY + YX = 360°

WX + 150° + 110° = 360°

WX + 260° = 360° ( subtract 260° from both sides )

WX = 100°

       


Related Questions

how could you use your graphing calculator to determine that a polynomial function is not the correct factorization of another polynomial function. explain

Answers

By answering the presented question, we may conclude that If the two graphs are identical, F(x) may polynomials be a valid factorization of G(x), but more study is required to establish this.

what are polynomials?

A polynomial is a mathematical statement composed of variables and coefficients that be combined using only addition, subtraction, multiplication, and non-negative integer exponents. The phrase 2x3 + 5x2 - 3x + 1 is a polynomial, for example, where x is the variable and the coefficients of the various components are 2, 5, -3, and 1. Polynomials may include one or more variables, but each term must have the same variable (s). The degree of a polynomial is the highest exponent of its variable (s). In the above example, the degree of the polynomial is 3. Polynomials are used in many areas of mathematics, including algebra, calculus, and numerical analysis.

If you believe that one polynomial function is not the right factorization of another, you may use your graphing calculator to confirm this by graphing both functions and comparing their graphs.

Then, in your calculator, insert the polynomial function that you believe is the right factorization. Let us refer to this function as G. (x).

Graph the function G(x) on your calculator by hitting the "graph" button or the equivalent button.

Examine the two graphs. If the two graphs disagree, F(x) does not represent the right factorization of G. (x). If the two graphs are identical, F(x) may still be a valid factorization of G(x), but more study is required to establish this.

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What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to the nearest hundredth.

Group of answer choices

4 radians

0.25 radians

0.33 radians

36 radians

Answers

Answer: 0.25 radians

Step-by-step explanation:

What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of

34

Question 6 Multiple Choice Worth i pones)

(03.02 MC)

The vertices of AABC are A (1,5), B (3,9), and C (5,3). The vertices of ADEF are D (-3, 3), E (-2,5), and F (-1. 2). Which conclusion is true about the triangles?

The ratio of their corresponding sides

,

They are congruent by the definition of congruence in terms of rigid motions.

The ratio of their corresponding angles is 1:3.

They are similar by the definition of similarity in terms of a dilation.

Answers

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \(\overline{AB}\) = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \(\overline{BC}\) = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \(\overline{AC}\) = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \(\overline{DE}\) = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \(\overline{EF}\) = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \(\overline{DF}\) = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \(\overline{AB}\)/\(\overline{DE}\) = 2·√5/(√5) = 2

\(\overline{BC}\)/\(\overline{EF}\) = 2·√10/(√10) = 2

\(\overline{AC}\)/\(\overline{DF}\) = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

Determine the equation of the tangent plane and normal line of
the curve f(x,y,z)=x2+y2-2xy-x+3y-z-4 at p(2,
-3, 18)

Answers

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Which shows 34,867 rounded to the nearest hundred? O A 34,900 . B. 34.800 C. 34 500 D. 34.000​

Answers

Answer:

A. 34,900

Good Luck!!

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

Answer:

A) 34,900

Step-by-step explanation:

When rounding to the nearest hundred, look at the TENS DIGIT of the number.

If that digit is 0, 1, 2, 3, or 4, you will round down to the previous hundred.

If that digit is 5, 6, 7, 8, or 9, you will round up to the next hundred.

hope it helps

brainliest please

have a good day

here is a scatterplot with its least squares regression line. lsr line with grid marks if there is scatter in the data about the line, there is prediction error. which value of x has the largest absolute prediction error?

Answers

Without seeing the scatterplot or the data, it is difficult to determine the exact value of x that has the largest absolute prediction error.

However, in general, the x-value with the largest absolute prediction error is typically the x-value that is farthest away from the regression line.

To calculate the prediction error for a given x-value, you can first calculate the predicted y-value for that x-value using the equation of the regression line. Then, you can subtract the actual y-value for that x-value from the predicted y-value to get the prediction error.

The absolute value of the prediction error represents the magnitude of the difference between the actual and predicted values, regardless of whether the prediction was too high or too low. Therefore, to find the x-value with the largest absolute prediction error, you can calculate the absolute prediction error for each x-value and then identify the x-value with the largest value.

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someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points

Answers

Answer:

divide the numerator by the denominator and it should give you a decimal

Answer:if u don't get it tell me.

Step-by-step explanation:

someone please explain how to make a fraction into a decimal im confused will give brainliest to best

find the local maximum and minimum values and saddle point(s) of the function. you are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (enter your answers as comma-separated lists. if an answer does not exist, enter dne.) f(x, y)

Answers

Answer:

to get your answer you have to. Then after that, and finally

Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}

(-10, -2)
(−5,2)
(10,7)
(10,−2)

Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}

Answers

Answer:

(10, -2)

Step-by-step explanation:

The inequalities are:

y < x - 7               (1)

y < (1/5)x - 2        (2)

To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.

To solve the inequality, subtract inequality (2) from inequality (1) which gives:

0 < (4/5) x - 5

-(4/5)x < -5

Dividing both sides of the equation by -4/5 gives:

-(4/5)x / (-4/5) < -5/ (-4/5)

x > 6.25

Put x > 6.2 in inequality 1

y < 6.25 - 7

y < -0.75

The solution of the inequality is x > 6.25 and y < -0.75

From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75


Simplify

3x – 3y + 6x + 4y + 2x

Answers

11x+y this is the answer




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Show me the ways. of how to divide 36 acorns if a brown squirrel can only carry 2 acorns at a time, a gray squirrel can only carry 3 acorns at a time, and the black squirrel can only carry 5 acorns?

Answers

The division of 36 acorns among the squirrels would be as follows:
- The black squirrel carries 35 acorns in 7 trips.
- The gray squirrel carries 1 acorn in 1 trip



1. Determine the number of times each squirrel can carry acorns:
  - The brown squirrel can carry 2 acorns at a time, so it will need to make 36 / 2 = 18 trips.
  - The gray squirrel can carry 3 acorns at a time, so it will need to make 36 / 3 = 12 trips.
  - The black squirrel can carry 5 acorns at a time, so it will need to make 36 / 5 = 7 trips.

2. Allocate the acorns to each squirrel:
  - Start by giving the black squirrel 7 trips worth of acorns, which is 7 x 5 = 35 acorns.
  - Since there are only 36 acorns in total, the black squirrel can take all of them.
  - This leaves 36 - 35 = 1 acorn remaining.

3. Distribute the remaining acorn(s) to the other squirrels:
  - If there is only 1 acorn left, it can be given to either the brown or gray squirrel.
  - Since the gray squirrel can carry more acorns per trip, it makes sense to give the remaining acorn to the gray squirrel.

So, the division of 36 acorns among the squirrels would be as follows:
- The black squirrel carries 35 acorns in 7 trips.
- The gray squirrel carries 1 acorn in 1 trip.

This is just one possible way to divide the acorns, considering the carrying capacities of the squirrels. The actual division may vary depending on the specific situation and requirements.

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Jeff volunteers his time by working at an animal shelter. Each year he works for a total of 240 hours. So far this year he has worked 97 hours. Which equation will solve for how many more hours (h) Jeff will volunteer for?

Answers

Answer: h + 97 = 240

Step-by-step explanation:

Total hours worked per year: 240 hours

Current hours worked so far: 97 hours.

The variable h represents hours

Therefore, h + 97 = 240

6.58 multiple-choice questions on advanced placement exams have five options: a, b, c, d, and e. a random sample of the correct choice on 400 multiple-choice questions on a variety of ap exams shows that b was the most common correct choice, with 90 of the 400 questions having b as the answer. does this provide evidence that b is more likely than 20% to be the correct choice?

Answers

Based on the provided evidence, the analysis suggests that "b" is more likely than 20% to be the correct choice

To evaluate whether "b" is more likely than 20% to be the correct choice, we can conduct a hypothesis test. The null hypothesis (H0) assumes that the probability of "b" being the correct choice is 20% (or 0.2), while the alternative hypothesis (Ha) assumes that the probability is greater than 20%.

Using the binomial distribution, we can calculate the expected number of questions with "b" as the correct choice if the probability is 20%. In this case, the expected number would be 0.2 multiplied by the total number of questions (400), resulting in 80 questions.

Next, we can perform a one-sample proportion test to determine if the observed proportion of 90/400 (0.225) significantly deviates from the expected proportion of 0.2. By comparing the observed proportion to the expected proportion using appropriate statistical tests (such as a z-test or chi-square test), we can assess if the difference is statistically significant.

If the p-value associated with the test is less than the chosen significance level (commonly 0.05), we can reject the null hypothesis and conclude that "b" is more likely than 20% to be the correct choice.

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Did i pick the right one?

Did i pick the right one?

Answers

Answer:

V= 3,14×7×3×5

= 21,98×15

= 131,94

Find F If F' (X) = 16x^3 + 14x + 7 And F(1) = -5. Answer: F(X) =

Answers

The value of function f (x) is,

⇒ F (x) = 4x⁴ + 7x² + 7x - 22

We have to given that;

Function is,

⇒ F' (x) = 16x³ + 14x + 7

Now, We get;

Integrate both side;

F (x) = 16 x⁴ / 4 + 14x²/2 + 7x

F(x) = 4x⁴ + 7x² + 7x + c

Since, F (1) = - 5

Hence,

F (x) = 4 (1)⁴ + 7 (1)² + 7 (1) + c

- 5 = 4 + 7 + 7 + c

c = - 22

Thus, The function f (x) is,

⇒ F (x) = 4x⁴ + 7x² + 7x - 22

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Emma wants to have her resume printed by the time she starts applying for jobs when she graduates from college. The printing company charges $24.50 for the first 100 resumes, and then a flat rate for each additional 100 resumes. Emma pays $48.50 for 300 resumes. How much is the flat rate after the first 100 resumes are purchased?

Answers

After the first 100 resumes, the printing provider will impose a flat rate of 12 Dollars for every extra 100 resumes.

Emma sought a printing shop to have her prints made since, in accordance with the criteria indicated in the question, she wishes to have her resume printed by the time she starts searching for employment after graduating from college.

The cost of the service is $24.50 for the first 100 resumes, and then there is a flat rate for every subsequent 100 resumes.

Emma spent $48.50 to print 100 resumes in total.

Therefore, Emma printed an additional of \([(300 - 100) = 200]\) Resumes after the first 100.

And she paid \([48.50-24.50]=$24\) Dollars for those additional 200 resumes.

That is, as the company charges a flat rate for each additional 100 resumes, then this flat rate (for each 100 additional resumes) = \(\frac{24}{2}=12\\\) Dollars.

Flat Rate: This is the type of rate or charge that does not vary under any situations or conditions.

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Abby and her mom are driving on a road trip, and Abby is watching the milepost signs go by. Each hour she writes down which mile marker they


pass and records her results in the table given.


Hours


Milepost


62


1


2


3


4


62 + 50 = 112


112 + 50 = 162


162 + 50 = 212


If Abby wants to write an equation to find the milepost they will pass, y, after driving for x hours, which type of equation would be


most appropriate?


A linear


OB. Quadratic


OĆ exponential


Dabsolute value

Answers

This is a linear equation in slope-intercept form, where the slope (m) is 50 and the y-intercept (b) is 62.

Since the milepost increases by a fixed amount of 50 for every hour that they drive, the most appropriate type of equation to describe this relationship is a linear equation.

A linear equation has the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the slope is 50, since the milepost increases by 50 for every hour of driving, and the y-intercept is 62, since they start at milepost 62.

Therefore, the equation that represents Abby's relationship between the milepost they pass, y, and the number of hours they drive, x, is:

y = 50x + 62

This is a linear equation in slope-intercept form, where the slope (m) is 50 and the y-intercept (b) is 62.

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determine the surface area of the pyramid

determine the surface area of the pyramid

Answers

Answer:

64 in^2.

Step-by-step explanation:

The surface consists of 4 congruent triangles and a square base.

Area of 1 triangle = 1/2 * 4*6  = 12.

Area of the base = 4*4 = 16.

So the required surface area

= 4*12 + 16

= 64 in^2.

Consider the following, - ¬r→¬p,¬(q∨r),s→(p∨q)⊨¬(¬q∧¬r) - ¬r→¬p,¬(q∨r),s→(p∨q)⊨¬s (a) Using a Semantic Tableaux, show whether the premises are consistent. Explain. (b) For each of the above, determine whether the conclusion logically follows from the premises. If the conclusion does logically follow from the premises, prove it using Natural Deduction. If the conclusion does not logically follow from the premises, provide a counter example that demonstrates it does not. Use soundness and/or completeness to explain.

Answers

Now we construct the tableaux by adding the premises as branches and continue branching until all branches are closed or all formulas are exhausted.

To determine whether the premises are consistent using a Semantic Tableaux, we start by negating the conclusion and writing all the premises in conjunctive normal form.

The premises are:
1. ¬r → ¬p
2. ¬(q ∨ r)
3. s → (p ∨ q)

The negated conclusion is:
4. ¬(¬q ∧ ¬r)


Branch 1:
- ¬r → ¬p, ¬(q ∨ r), s → (p ∨ q), ¬(¬q ∧ ¬r)
- ¬r, ¬p, ¬(q ∨ r), s, p ∨ q, q ∨ r, ¬q ∧ ¬r (from ¬(¬q ∧ ¬r))
- ¬r, ¬p, ¬(q ∨ r), s, p ∨ q, q, r, ¬q (from ¬(¬q ∧ ¬r))
- ¬r, ¬p, ¬(q ∨ r), s, p ∨ q, q, r, ¬r (from ¬(¬q ∧ ¬r))

Branch 2:
- ¬r → ¬p, ¬(q ∨ r), s → (p ∨ q), ¬(¬q ∧ ¬r)
- ¬r, ¬p, ¬(q ∨ r), s, p ∨ q, ¬q ∧ ¬r (from ¬(¬q ∧ ¬r))
- ¬r, ¬p, ¬(q ∨ r), s, p ∨ q, ¬q, ¬r (from ¬(¬q ∧ ¬r))

Both branches are closed, which means the premises are inconsistent. Since the premises are inconsistent, it is not necessary to determine whether the conclusion logically follows from the premises. Therefore, we do not need to provide a proof or counterexample using Natural Deduction, soundness, or completeness in this case.

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NEED ANSWER ASAP! State the possible RATIONAL zeros for the function. Then find all the rational zeros. Use the rational zeros theorem (p/q) and please show work!! tysm!!!

the function:
f(x) = 3x^3 + 11x^2 + 5x - 3

NEED ANSWER ASAP! State the possible RATIONAL zeros for the function. Then find all the rational zeros.

Answers

Answer:

Use the Rational Zero Theorem to find rational zeros

Step-by-step explanation:

algebra 2-2

solve \(\sqrt{x}+3=-6\)
√x+3=-6

Answers

The solution of equation is x=-3

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

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2. A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles
are square with side lengths 11
3 feet. How many tiles are needed to cover the entire
floor? Show your reasoning.

Answers

Step 1: Calculate the area of the room. To calculate the area of the room, multiply 12 feet by 15 feet, which gives us a total of 180 square feet.

Step 2: Calculate the area of one tile. To calculate the area of one tile, multiply 113 feet by 113 feet, which gives us a total of 1.369 square feet.

Step 3: Calculate the number of tiles needed. To calculate the number of tiles needed, divide the area of the room (180 square feet) by the area of one tile (1.369 square feet). This gives us a total of 131 tiles.

Therefore, 131 tiles are needed to cover the entire floor.

Start by multiplying the tile's length by its breadth in inches to determine the tile's square footage. Lastly, multiply the area of one tile by the determined size of the space. The outcome is the precise quantity of tiles needed for the space.

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Consider the matrix. What is |j| ?

Consider the matrix. What is |j| ?

Answers

Answer:

- 28

Step-by-step explanation:

Determinant of matrix J is

- 2(5) - 3(6) = - 28

B = 75*
C = 50*
A = ?*

B = 75* C = 50*A = ?*

Answers

Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

Describe how to perform one repetition of a simulation of the proportion of high school students who followed the Egyptian Revolution using blue and yellow poker chips and, once you had results, how to estimate the p-value.

Answers

You would compare the proportion of simulated samples with a proportion as extreme or more extreme than your sample proportion to estimate the p-value.

For one repetition of a simulation of the proportion of high school students who followed the Egyptian Revolution using blue and yellow poker chips, you would first need to determine the total number of high school students in your sample and the estimated proportion of them who followed the Egyptian Revolution.

Next, assign one color of poker chip (e.g. blue) to represent students who followed the revolution and the other color (e.g. yellow) to represent students who did not.

Then, mix the chips thoroughly and draw a sample of the specified size.

Count the number of blue chips in the sample and divide by the total sample size to calculate the proportion of students who followed the revolution in your sample.

Repeat this process several times to simulate multiple samples from the same population.

To estimate the p-value, you would need to compare the proportion of students who followed the revolution in your sample to the null hypothesis value.

If your null hypothesis is that the true proportion of students who followed the revolution is equal to some hypothesized value (e.g. 0.5), then you would calculate the probability of observing a proportion as extreme or more extreme than your sample proportion, assuming the null hypothesis is true.

To do this, you would need to calculate the difference between your sample proportion and the hypothesized value, divide this by the standard error of the proportion, and then look up this calculated value in a t-distribution table with n-1 degrees of freedom (where n is the number of samples you simulated).

The p-value would be the area under the curve of the t-distribution beyond the calculated value.

Alternatively, you could simulate a large number of samples from a null distribution assuming the hypothesized value for the proportion of students who followed the revolution.

Then, you would compare the proportion of simulated samples with a proportion as extreme or more extreme than your sample proportion to estimate the p-value.

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Maureen is making a 3/10 scale drawing of a doll house if a line on the drawing represents 15 inches how long should the line be ?

Answers

We have the following ratio scale:

\(\frac{\text{REAL}}{\text{DRAWING}}=\frac{10}{3}\)

If we move the DRAWING term to the rght hand side, we get

\(\text{REAL}=\frac{10}{3}\cdot\text{DRAWING}\)

In our case, the line is 15 inches long, then we have

\(\text{REAL}=\frac{10}{3}\cdot(15\text{inches)}\)

which gives

\(\begin{gathered} \text{REAL}=\frac{10\times15}{3}\text{ inches} \\ \text{REAL}=10\times5\text{ inches} \\ \text{REAL}=50\text{ inches} \end{gathered}\)

Therefore, the answer is 50 inches.

A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text. Let t=t=t, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other. Find the probability that the total amount of product exceeds 515\,\text{g}515g515, start text, g, end text. You may round your answer to two decimal places.

Answers

The probability that the total amount of product exceeds 515g is 0.91924

What do you mean by standard deviation?

In statistics, Standard deviation is a measure of the variation of a set of values. It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

Cereal :

X ~ N(μ = 370 ; σ² = 24²)

X ~ N(370 ; 576)

Raising :

X ~ N(μ = 170 ; σ² = 7²)

X ~ N(170 ; 49)

μ1 + μ2 = 370 + 170 = 540

σ1² + σ2² = 576 + 49 = 625

μ = μ1 + μ2 = 540

σ = sqrt(σ1² + σ2²) = 25

Now Recall:

Z = (x - μ) / σ

P( T < 575) = (575 - 540) / 25

P( T < 575) = 35 / 25

P( T < 575) = 1.4

P(Z < 1.4) = 0.91924

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HELP PLS!!!!!
A company produces individually wrapped spherical cookies. The minimum amount of wrapping material needed to
cover a cookie, assuming no edges overlap, is 314 square inches. What is the diameter of one cookie?
5 in
10 in
20 in
25 in

Answers

Answer:

10 in

Step-by-step explanation:

r^2= 314/3.14

r^2=100

r=10 in

hope i helped!

Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. How much does she stand to gain if er loans are repaid after three years? A) $15,025.8 B)$15,318.6

Answers

A) $15,025.8. is the correct option. Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. She stand to get $15,025.8. if er loans are repaid after three years.

Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly.

We need to find how much she stands to gain if er loans are repaid after three years.

Calculation: Semi-annual compounding = Quarterly compounding * 4 Quarterly interest rate = 4% / 4 = 1%

Number of quarters in three years = 3 years × 4 quarters/year = 12 quarters

Future value of $1,000 at 1% interest compounded quarterly after 12 quarters:

FV = PV(1 + r/m)^(mt) Where PV = 1000, r = 1%, m = 4 and t = 12 quartersFV = 1000(1 + 0.01/4)^(4×12)FV = $1,153.19

Total amount loaned out in 12 quarters = 12 × $1,000 = $12,000

Total interest earned = $1,153.19 - $12,000 = $-10,846.81

Therefore, Chloe stands to lose $10,846.81 if all her loans are repaid after three years.

Hence, the correct option is A) $15,025.8.

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