what is the value of the mean of a standard normal distribution? what is the value of the standard deviation of a standard normal distribution?

Answer:

points needed hope you under stand

Step-by-step explanation:

stay safe though

Answer:

20 square feet

Step-by-step explanation:

The length of a rectangular deck is five times it's width if the decks perimeter is 24 feet what is the decks area

Step 1

We find the Length and Width of the deck

Perimeter of a rectangle = 2L + 2W

The length of a rectangular deck is five times it's width

W = Width

L = Length = 5W

P = 24 feet

Perimeter = 2(5W) + 2W

24 = 10W + 2W

24 = 12 W

W = 24/12

W = 2 feet

Solving for L

L = 5W

L = 5 × 2 feet

L = 10 feet

Step 2

We find the area of the deck

Area of the deck(Rectangle) = Length × Width

= 10 feet × 2 feet

= 20 square feet

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

28x + 20y should be it.

Using statistical concepts, it is found that the mean is most affected by extreme values.

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

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The trigonometric ratios have been determined and the angles T and U are complementary.

Trigonometric Ratios are ratios of the side of a right-angled triangle. These are used to find the missing sides and angles of a right-angled triangle.

A right-angled triangle is a triangle with a measure of one of the angles as 90 degrees.

The triangle TUV is a right-angled triangle, the sides of the triangle are t, u, and v.

Part 1:

The angle T is not equal to angle U.

But by the angle sum property,

T + U + V = 180

T + U = 90

Both the angles are complementary.

Part 2:

The trigonometric ratios are as follows:

sin T = t/v

cos T = u/v

sin U = u/v

cos U = t/v

Part 3:

From the data in part 2,

Options C and D are the correct statements.

sin T = cos U

cos T = sin U

Part 4:

sin 37 = cos ( 90-37)

sin 37 = cos 53

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Answer:

Step-by-step explanation:

Each point of function b(x) is shifted by rule

x -----> ( x - 2 )

and

y -----> (y + 3)

( - 1.5, 0) ------> (- 3.5, 3)

(- 1, - 1) -----> ( - 3, 2)

(0, - 2) ------> ( - 2, 1)

(1, - 1) -----> ( - 1, 2)

(2, 3) -----> (0, 6)

(4, 7) -----> (2, 10)

......

Answer:

1st one

Step-by-step explanation:

So 2|x|<4 = |x|<2, and since absolute values are always positive, I believe it is the 1st one.(Sorry if its not right I'm not very good in this area.)

Answer:

I will tell D or C but I'm not sure :-\

Answer:

Step-by-step explanation:

two

a) The linear inequality: 2x + 2y ≤ 20.

b) Two possible sizes for the sandbox: 3 feet by 7 feet and 5 feet by 5 feet.

The graph  for the equation y + 2 = 3x + 3 is drawn below.

a) To write a linear inequality describing the situation, let's assume the length of one side of the rectangular sandbox is x feet and the width is y feet. The perimeter of the sandbox is given by the equation:

2x + 2y ≤ 20

This equation represents the constraint that the sum of the lengths of all sides of the sandbox should be less than or equal to 20 linear feet.

b) To find two possible sizes for the sandbox, we can choose different values for x and solve for y.

Let's consider two scenarios:

1) Setting x = 3 feet:

By substituting x = 3 into the inequality, we have:

2(3) + 2y ≤ 20

6 + 2y ≤ 20

2y ≤ 20 - 6

2y ≤ 14

y ≤ 7

So, one possible size for the sandbox is 3 feet by 7 feet.

2) Setting x = 5 feet:

By substituting x = 5 into the inequality, we have:

2(5) + 2y ≤ 20

10 + 2y ≤ 20

2y ≤ 20 - 10

2y ≤ 10

y ≤ 5

Thus, another possible size for the sandbox is 5 feet by 5 feet.

Therefore, two possible sizes for the sandbox are 3 feet by 7 feet and 5 feet by 5 feet.

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Answer:

Step-by-step explanation:

Let A(–4,–2), B(–3,–5), C(3,–2) and D(2,3) be the vertices of the quadrilateral ABCD.

Area of a quadrilateral ABCD= Area of △ABC+ Area of △ACD

By using a formula for the area of a triangle =  

2

1

​

∣x  

1

​

(y  

2

​

−y  

3

​

)+x  

2

​

(y  

3

​

−y  

2

​

)+x  

3

​

(y  

1

​

−y  

2

​

)∣

Area of △ABC

=  

2

1

​

[−4(−5+2)+−3(−2+2)+3(−2+5)]

=  

2

1

​

[12+9]

=  

2

21

​

sq.units      

Area of △ACD=  

2

1

​

[−4(3+2)+−2(−2+2)+3(−2−3)]

=  

2

1

​

[−20−15]

=  

2

35

​

sq.units  

∴Area of quadilateral=  

2

21

​

+  

2

35

​  =  2/ 56  =28 sq.unit        

Ok, you will need a protractor, ruler a pencil and paper for this one.

Create a dot on the paper and label that A (airport)

Measure out an angle of 40° from the airport dot and draw a 5cm line (because 1cm = 5km, so 5cm = 25km) that is how much the jet has gone.

From the airport again measure out an angle of 230° (if you dont have a 360° protractor, do 180° then 140°) and draw a line that is 6cm (30 ÷ 5 = 6)

Measure how far the ends of the lines are from each other, then convert the cm into km by multiplying it by 5.

That is how far they are apart in km.

Answer:

1) I would remove the '-2' first by adding '2' to both sides. Technically, it does not matter the order you remove the '5' or '-2' though it would be more of a hassle if you were to remove the number associated w/ a variable as you would do extra steps when there is a possibility to do it in less steps. So, ideally, it does matter but depending on your perspective.

2) You would begin by turning '1' into a fraction that has the same denominator as the fraction it is to be added to. This would get you 7/7. Then, you add 7/7 to 4/7 in order to get your final answer of 11/7. You could also just put the two numerical values together as '1 4/7' but I am inferring they want it in an improper fraction format. The steps to get an improper fraction are ideal since it is the simplest way to get to the final answer.

If you have any more questions please comment them and I will be happy to answer them if I can ^^

Answer:

7/10 or 0.7 or 70%

Step-by-step explanation:

I would use a venn diagram, and fill it in! Then there are 7 do A &B and 3 who just do A. That as a probaility, your answer!

The length of the cuboid is 12.8 cm.

Let's solve the problem to find the length of the cuboid.

Volume of the cuboid:

The volume of a cuboid is calculated by multiplying its length, width, and height. In this case, we are given the width as 10 cm and the height as 4 cm.

Since we don't know the length, let's denote it as L.

Therefore, the volume of the cuboid can be expressed as:

Volume of cuboid = Length × Width × Height

Volume of cuboid = L × 10 cm × 4 cm

Volume of cuboid = 40L cm³

Volume of the cube:

The cube is three quarters (3/4) full with water.

This means that the volume of water in the cube is 3/4 of the volume of the cube.

The volume of a cube is given by the formula:

Volume of cube = Side length³

In this case, the side length of the cube is 8 cm.

Therefore, the volume of the cube is:

Volume of cube = 8 cm × 8 cm × 8 cm

Volume of cube = 512 cm³

Equating the volumes:

Since the water from the cuboid is poured into the cube, the volume of the water in the cuboid must be equal to the volume of the water in the cube. So we have:

40L cm³ = 512 cm³

Solving for the length of the cuboid:

To find the length L, we can rearrange the equation as follows:

40L cm³ = 512 cm³

L = 512 cm³ / 40 cm³

L = 12.8 cm

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With the help of sets we can conclude our answer.

acc to our qusetion-

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Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer:

(5/2,2)

Step-by-step explanation:

3+2/2,0+4/2

5/2,4/2

5/2,2

(4,-4) is the answer

Answer:

Approximately 4 cm

Step-by-step explanation:

Old mirror's area = S X S = 7 x 7 = 49cm2

Area of old mirror = Area of new mirror
49 = πr2

49 = 22/7 * r2

\(\frac{49 * 7}{22}\) = r2

\(\frac{343}{22}\) = r2

15.5909 = r2

r = \(\sqrt{15.5909}\)
r = 3.948 cm  = approx. 4cm

Hope it helps.

To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.

To calculate the volume of water contained in the system, you would use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the pipe (half the diameter), h is the length of the pipe, and π is approximately 3.14.

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The correct statement according to the given equation is statement (D)"They have a single solution since they have various y-intercepts but the same slopes."

The relationship between two terms on either side of an equal sign is easily demonstrated using a simple equation.

Additionally, one or more of the four arithmetic operations that simple equations do include addition, fundamental arithmetic, multiplication, and division.

The three possible forms of the equation system are point-slope form, standard form, and slope-intercept form.

So, given equations:

y = 1/2 * x - 3

y = - 1/2 * x - 3

As we are aware, a line's slope-intercept form is:

y = m x + c  

Therefore, it is clear from equations 1 and 2 that:

m1 = 1/2 and c1 = -3

m2 = -1/2 and c2 = -3

Therefore, the correct statement according to the given equation is statement (D)"They have a single solution since they have various y-intercepts but the same slopes."

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Complete question:
A system of equations is given below. y=1/2x-3 and -1/2x-3. Which of the following statements best describes the two lines?

a. They have the same slope but different y-intercepts, so they have no solution.

b/. They have the same slope but different y-intercepts, so they have one solution.

c. They have different slopes but the same y-intercept, so they have no solution.

d. They have different slopes but the same y-intercept, so they have one solution.

We should reject the null hypothesis, and we have enough evidence to support the claim.

What is the test statistic ?

Identify the null Hypothesis -

The null hypothesis contains “equal” sign (“=” or “≥” or “≤”),  the  alternative  hypothesis  is the complement to the null hypothesis. The claim is “professional pilots have IQ scores with a standard deviation less than 15”. As the claim contains the “<” sign, it is an alternative hypothesis. Thus, the null hypothesis is the complement: “professional pilots have  IQ  scores  with  a  standard deviation at least 15”.

H0: s ≥ 15

Alternative hypothesis:

“Professional pilots have IQ scores with a standard deviation less than 15.”

H0: s<15

Test statistic:

As the alternative hypothesis contains “<” sign, the test is left - tailed. α = 0.05

The sample standard deviation:

s = 9.5

The test statistic is:

x2 = (n - 1) * s22

= (12 - 1) * s2152

=4.412

P - Value or critical value(s):

For α = 0.05 and d.f. = (12 – 1) * (2 – 1) = 11 the critical value is 4.575 (determined by the table for chi - squared distribution).

As 4.412 < 4.575,

we should reject the null hypothesis, and we have enough evidence to support the claim.

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Answer:

6

Step-by-step explanation:

bd/2c

-3(4)/2(-1)

-12/-2

6

Answer:

6

Step-by-step explanation:

Add the given numbers into your equation.

(-3)(4)/2(-1)

Then multiply both sides.

(-12)/(-2)

Then divide.

(-12)/(-2) = 6

The probability that the event will happen is 40/61.

Probability provides a way to reason about uncertain events and helps in making informed decisions based on the likelihood of different outcomes.

To find the probability that an event will not happen, you subtract the probability of the event happening from 1.

For the first question:

Given P(E) = 2/7, the probability of the event not happening is:

P(E') = 1 - P(E) = 1 - 2/7 = 5/7

Therefore, the probability that the event will not happen is 5/7.

For the second question:

Given P(E') = 21/61, the probability of the event happening is:

P(E) = 1 - P(E') = 1 - 21/61 = 40/61

Therefore, the probability that the event will happen is 40/61.

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The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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Answer:

Probability = 0.500

Step-by-step explanation:

If it is given that the reader is a teen, we have a total of 80 readers, where 40 of those readers have Rowling as their favorite.

So the probability that the reader's favorite is Rowling given that the reader is a teen is the number of teen readers that have Rowling as favorite (40) over the total number of teen readers (80)

Probability = 40 / 80 = 0.500

Answe        Step-by-step explanation:

46579765+4879+889 78+6565