ZRQT is a straight angle. What are mZRQS and mZTQS?
mZRQS = 109°
mZTQS=
R
(10x+9)°(7x+1)°
i

Answer:

Step-by-step explanation:

every second we are increasing the sides by 4.4 in all 3 dimensions. This must mean that we need to do 4.4x4.4x4.4 to get

85.184in^3 per second

Answer: First One.

Step-by-step explanation: The first and last options are acceptable, since a line of best fit needs to be as close to all the points as possible (ignoring any anomalies/outliers) but in an exam question the first line of best fit looks slightly better.

Answer:

2x^2 - 7  

we can plug any values of x into this The domain is All Real x.

The graph will be a parabola opening upwards with a minimum value  when x = 0  and  f(x) will be = -7

so the range is  f(x) <= -7    or  (-∞, -7]

To find the critical values for the t-tests, we need to determine the degrees of freedom and consult the t-distribution table or use a statistical software.

For a right-tailed t-test:

n = 10, α = 0.05

Degrees of freedom (df) = n - 1 = 10 - 1 = 9

Critical value = t(0.05, 9) = 1.833

For a two-tailed t-test:

n = 18, α = 0.10

Degrees of freedom (df) = n - 1 = 18 - 1 = 17

Critical values = t(0.05, 17) = ±1.740

For a left-tailed t-test:

n = 28, α = 0.01

Degrees of freedom (df) = n - 1 = 28 - 1 = 27

Critical value = t(0.01, 27) = -2.614

For a two-tailed t-test:

n = 25, α = 0.01

Degrees of freedom (df) = n - 1 = 25 - 1 = 24

Critical values = t(0.005, 24) = ±2.797

In summary:

For the right-tailed t-test (α = 0.05, n = 10), the critical value is 1.833.

For the two-tailed t-test (α = 0.10, n = 18), the critical values are ±1.740.

For the left-tailed t-test (α = 0.01, n = 28), the critical value is -2.614.

For the two-tailed t-test (α = 0.01, n = 25), the critical values are ±2.797.

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The monthly salary of Ward based on this annual salary is 5.53k

Annual salary = 66.4k

There are 12 months in a year

Monthly salary= Annual salary / 12

= 66.4k / 12

= 5.533333333333333

Approximately,

5.53k per month

Therefore, Ward receives monthly salary of 5.53k

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Answer:

2

Step-by-step explanation:

9x=8+5x

9x-5x=8

4x=8

x=8/4

x=2

Answer:

B. Equilateral

It is an equilateral triangle

As we can see all sides are equal.

Equilateral Triangle

Step-by-step explanation:

Answer:

A = 72, P = 38

Step-by-step explanation:

Area can be found by getting the area of the overall figure, and then subtracting the blank space in the corner

12 * 7 = 84

3 * 4 = 12(invisible rectangle in top right)

84 - 12 = 72

Perimeter can be found by adding all of the sides

12 + 7 + (12-4) + 3 + 4 + (7-4)

The numbers in brackets are the unlabeled sides on the top and left.

Answer:

\(P=38\\ A=72\)

Step-by-step explanation:

To find the perimeter (P), add up all of the side lengths of the figure:

(numbers in parenthesis are the unlabeled values in the figure).

\(12+7+(8)+3+4+(4)=38\)

To find the area of the figure (A), multiply the length and width of the original rectangle \((12*7=84)\). Then, subtract this amount (84) minus the area of the missing rectangle in the top left corner \((4*3=12)\).

Subtract the required values: \(84-12=72\).

Therefore, the perimeter of the figure is 38 units, and the area of the figure is 72 units.

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Thus, the probability that the machine will be shut down for repair on a day when it is producing only 10% defective items is 3.3%.

The problem statement gives us a threshold of at least 15% defectives for the machine to be shut down for repair. This implies a binomial distribution with n = 100 and p >= 0.15.

Given that the machine is producing only 10% defective items on a given day, we need to find the probability of the sample having at least 15% defectives.

Using the binomial distribution formula, we can calculate the probability of having k or more defectives in a sample of size n with probability of success p:

P(X >= k) = 1 - P(X < k)
where P(X < k) = Σ (n choose i) * p^i * (1-p)^(n-i) for i = 0 to k-1

Plugging in the values, we get:

P(X >= 15) = 1 - P(X < 15)
= 1 - Σ (100 choose i) * 0.1^i * 0.9^(100-i) for i = 0 to 14

Using a calculator or statistical software, we can compute this probability to be approximately 0.033 or 3.3%.

Therefore, the probability that the machine will be shut down for repair on a day when it is producing only 10% defective items is 3.3%.

This suggests that the machine is not very likely to be shut down for repair on such a day, but it is still possible. The management may want to keep monitoring the production and take appropriate actions if the defect rate increases in the future.

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Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.

We cannot determine the change in the money that Kevin spent last week. Therefore, the result  is: Cannot be determined.

Every day Kevin rides the train to work, paying $3 each way.

This week, Kevin rode the train to and from work 3 times.

To find the change in his money, we need to use the following formula:

Change in Money = Total Money - Initial Money

Where Total Money is the amount of money Kevin spends this week, and Initial Money is the amount of money Kevin spent last week.

In this case, Kevin rode the train 3 times this week, which means he spent:

$3 × 2 trips = $6 for each day he rode the train.

So, the total amount of money he spent this week is:

$6 × 3 days = $18

Next, to calculate the change in his money, we need to know how much he spent last week. Unfortunately, the problem doesn't provide us with this information.

Therefore, we cannot determine the change in his money.Therefore, the conclusion is: Cannot be determined.

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Answer:

just use the number line

-3<x<4

and

x<3

Step-by-step explanation: this is what I find I hope this helps.

find it on quizlet MTH 111 Midterm flashcard #11

Answer:

The NBA Hall of Famer you are referring to is Michael Jordan. Michael Jordan is a retired professional basketball player widely considered to be one of the greatest basketball players of all time.

During his career, Jordan won six NBA championships, five NBA Most Valuable Player awards, 10 scoring titles, and was named an NBA All-Star 14 times. He is also known for his numerous signature sneakers and his successful career off the court, including his ownership of the Charlotte Hornets NBA team.

The NBA stands for the National Basketball Association, which is a professional basketball league in North America. It is composed of 30 teams, 29 in the United States and one in Canada, and is considered to be the premier men's basketball league in the world.

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Answer:

36

Step-by-step explanation:

MC : BC : MB = 1 : √3 : 2

MC : BC = 1 : √3

12 : BC = 1 : √3

BC = 12 : 1/√3

BC = 12 × √3/1

BC = 12 × √3

BC = 12√3

MC : MB = 1 : 2

12 : MB = 1/2

MB = 12 : 1/2

MB = 12 × 2/1

MB = 12 × 2

MB = 24

AB = 2BD

AB = 2CD√3

AB = 2(½BC)√3

AB = 2(½ × 12√3) √3

AB = 2 × 6√3 × √3

AB = 12 × √9

AB = 12 × 3

AB = 36

Answer:

x = 1, y = -1 so C)

Step-by-step explanation:

Solve the following system:

{5 y + 3 x = -2 | (equation 1)

-y + 2 x = 3 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x + 5 y = -2 | (equation 1)

0 x - (13 y)/3 = 13/3 | (equation 2)

Multiply equation 2 by 3/13:

{3 x + 5 y = -2 | (equation 1)

0 x - y = 1 | (equation 2)

Multiply equation 2 by -1:

{3 x + 5 y = -2 | (equation 1)

0 x + y = -1 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{3 x + 0 y = 3 | (equation 1)

0 x + y = -1 | (equation 2)

Divide equation 1 by 3:

{x + 0 y = 1 | (equation 1)

0 x + y = -1 | (equation 2)

Collect results:

Answer: {x = 1, y = -1

From a standard normal distribution table, we can find that the z-score corresponding to an area of 0.96 to the left of it is 1.75.

The standard normal distribution curve is a normal distribution with a mean of 0 and a standard deviation of 1. In order to find the z-score for which the area under the standard normal curve to its left is 0.96, we can use a standard normal distribution table. A standard normal distribution table shows the area under the curve to the left of a given z-score. We need to find the z-score such that the area under the curve to the left of it is 0.96.From a standard normal distribution table, we can find that the z-score corresponding to an area of 0.96 to the left of it is 1.75. Therefore, the z-score for which the area under the standard normal curve to its left is 0.96 is 1.75.

The z-score for which the area under the standard normal curve to its left is 0.96 is 1.75. We can use a standard normal distribution table to find this value.

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This set is closed under scalar multiplications. Statement 1 is false.

This set is a subspace. This statement is also false because this set does not contain a zero vector so it is not a subspace.

This set is closed under vector addition. This is false. Because let v and w be two vectors such that v=(v1,v2); w=(w1,w2).

The set contains the zero vector. Statement 4 is false because the sum of two zero vectors cannot be equal to 1.

Since v and w are vectors satisfying the condition of space so v1+v2=1;w1+w2=1

Now we check whether v+w also belongs to the same space or not.

v+w=(v1,v2)+(w1,w2)=(v1+w1, v2+w2)

We shall check whether components of v+w also add up to 1.

v1+w1+v2+w2=v1+v2+w1+w2=1+1=2

So it means that this space is not closed under addition too.

Consider a vector v=(v1,v2) from the space.

Obviously v1+v2=1

Now let us take a constant 'c'  and consider the behavior of

cv=c(v1,v2)=(cv1,cv2)

Now we check whether components of this vector add up to 1.

cv1+cv2=c(v1+v2)=c\neq 1

which clearly indicates that vectors of this space are not closed under scalar multiplication.

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Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

Answer:

100 yards ( 300 feet) and it will cost $1650

Step-by-step explanation:

First you find the volume

so we do 20x10x1.5

The volume is 300 feet

Now its 16.50/yd of soil

a yard has 3 feet so lets do 300/3

300/3 is 100

So now we have to do 16.50 * 100

16.50 * 100 is 1650

Step-by-step explanation:

I guess the price is $16.50/yd³.

there are 12 inches in 1 ft.

there are 3 ft in 1 yd.

1 yd³ = 1 yd × 1 yd × 1 yd = 3 ft × 3 ft × 3 ft = 27 ft³

we need soil to fill a volume of

20 ft × 10 ft × 18 in = 20 ft × 10 ft × 1.5 ft = 300 ft³

300 ft³ = 300/27 = 100/9 yd³ = 11.11111111... yd³

we need to buy 11.11111111... yd³ or 100/9 yd³ of soil.

the price for this is

16.5 × 100/9 = 1650/9 = 550/3 = $183.3333333...

but normally, in a store, I cannot buy a fraction of a bag.

so, in order to fill 11.11111111... yd³ we might have to buy 12 yd³.

and the price for that would be

16.5 × 12 = $198.00

Answer:

$24.46

Explanation:

$6.85÷7= 1 pint

you times the answer by 25 = $24.46

Answer:

Hi!

We will solve this using proportions, like this:

4 pints cost 10,08

30 pints cost x

__________________

x = (30 * 10,08)/4

x = 302,4/4

x = 75,6

30 pints of ice cream cost 75,6$.

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Answer:

96

Step-by-step explanation:

:)

A different division expression that has the same quotient as a division expression given 440.618÷3.02 is 175 ÷ 1.2

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, it should be noted that 440.618÷3.02 will be:

= 440.618÷3.02

= 145.9

Therefore, 175 ÷ 1.2 will also give a value of 145.9.

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The point-slope equation of the line is y-2=-2(x-7)

How will we find the equation of line?

First, we will find the slope of line using the given points then put slope and point in the formula to get equation of line.

We can find the equation as shown below:

Given points (6,4) and (7,2)

slope(m)= (2-4)/ (7-6)

m=-2/1

m=-2

The point slope form:

(y-y1) = m(x-x1)

y1=2, x1=7

putting in formula

(y-2) = -2(x-7)

y-2=-2(x-7)

Hence, the point-slope equation of the line is y-2=-2(x-7)

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Answer:

Step-by-step explanation:

Answer:

answer is attached

Step-by-step explanation:

hope this helps!

If two events are mutually exclusive, then they don't occur at same time

⇒  If two events don't occur at the same time, then they are mutually exclusive events.

If a die is rolled once, then the number of elements in the sample space is 6.

⇒ If the number of elements in a sample space is 6, then a die is rolled once.

If a coin is tossed, then a heads or a tails must occur.

⇒ If a heads or a tails occurs, then a coin is tossed.

Mutually exclusive events are those events that do not occur at the same time.

A sample space is a collection or a set of possible outcomes of a random experiment.

If a die is rolled once. Then the total number of possible outcomes will be 6.

And the sample space = { 1, 2, 3, 4, 5, 6}

If a coin is tossed. Then the possible outcomes are getting head or tail.

⇒ Total number of possible outcomes = 2

And sample space = { Head, Tail}

If the two events do  not occur at the same time then they are mutually exclusive events.

Therefore, the correct match of the given statements are:

If two events are mutually exclusive, then they don't occur at same time

⇒  If two events don't occur at the same time, then they are mutually exclusive events.

If a die is rolled once, then the number of elements in the sample space is 6.

⇒ If the number of elements in a sample space is 6, then a die is rolled once.

If a coin is tossed, then a heads or a tails must occur.

⇒ If a heads or a tails occurs, then a coin is tossed.

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we have the formula of Volume

The radius is given by

we have that

substitute

There are no solutions to the equation f(x) = g(2).

Given:

f(x) = -0.05x³ - 0.3x² + x - 1

g(2) = |1.1x| + 5.6

To find the solutions to the equation f(x) = g(2), we substitute x = 2 into both functions and equate them:

f(2) = g(2)

Substituting x = 2 into f(x):

f(2) = -0.05(2)³ - 0.3(2)² + 2 - 1

f(2) = -0.05(8) - 0.3(4) + 2 - 1

f(2) = -0.4 - 1.2 + 1

f(2) = -1.6

Substituting x = 2 into g(2):

g(2) = |1.1(2)| + 5.6

g(2) = |2.2| + 5.6

g(2) = 2.2 + 5.6

g(2) = 7.8

Now we can set -1.6 equal to 7.8 and solve for x:

-1.6 = 7.8

This equation has no solution.

Therefore, there are no solutions to the equation f(x) = g(2).

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Answer:

The airspeed is 201.17 mph and bearing is  and this can be determined by using the vector form of velocity

Plane to fly 700 miles due north in 3.5 hours if the wind is blowing from a direction of 338 degrees at 10 ​mph