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Answer:

a.(x)=7

b.(x)=14

Step-by-step explanation:

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Answer:

For A x equals 7

For B x equals 14

Explanation:

Simply cross multiply

A. 21×2=42÷6=7

Or find the relationship

B. 150÷6=25

84÷6=14

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Answer:

The cutoff value for the top 5% of all IQs is 131.255.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 100, \sigma = 19\)

What is the cutoff value for the top 5% of all IQs

This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 100}{19}\)

\(X - 100 = 19*1.645\)

\(X = 131.255\)

The cutoff value for the top 5% of all IQs is 131.255.

Answer:

\(v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}\)

Step-by-step explanation:

The given formula is :

\(H=\dfrac{m(v^2-u^2)}{2gx}\)

We need to find the formula for v.

Cross multiplying the given formula.

\(H\times 2gx=m(v^2-u^2)\)

Dividing both sides by m. So,

\(\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}\)

Adding both sides by u².

\((v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}\)

Hence, this is the required formula.

B.

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Answer:

0.98

Step-by-step explanation:

Prob (Ball target & prize ) = 0.74

Prob (Ball no target & no prize) = 1 - 0.74 = 0.26

Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)

= 1 - (0.26)^3

= 1 - 0.017576

= 0.982424

Part A: The actual dimensions of the pool are 10 feet long and 5 feet wide.

Part B: the cost of the cover for the pool would be $15.00.

Dimension is a measure of a physical property of an object, such as its length, breadth, height, or mass.

Part A: The actual dimensions of the pool can be determined by using the given scale. To do this, we need to convert the given measurements in inches to feet. We can do this by dividing the given measurements in inches by the scale, which is 2 inches equals 7 feet.

The actual length of the pool is 20 ÷ 2 = 10 feet.

The actual width of the pool is 10 ÷ 2 = 5 feet.

Therefore, the actual dimensions of the pool are 10 feet long and 5 feet wide.

Part B: To calculate how much it would cost to buy a cover for the pool, we need to determine the area of the pool. We can do this by multiplying the length by the width of the pool.

Area = length x width

Area = 10 ft x 5 ft

Area = 50 ft²

Therefore, the cost of the cover for the pool would be

$0.30 x 50 ft² = $15.00.

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Question :

The blueprint of a pool has a scale of 2 inches equals 7 feet. The scale drawing is shown below. the length is 20 and the width is 10

Part A What are the actual dimensions of the pool? Blueprint: 10 in. Actual: ft Blueprint: 20 in. Actual: ft

Part B How much would it cost to buy a cover for the pool that costs $0.30 per square foot?

7) The  probability that the two numbers have an even sum is: 0.5

8) The probability that the two are even is: 0.25

7) We want to find the probability that the two numbers have an even sum.

The only combinations that produces an even sum are:

(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)

The other combinations of numbers are:

(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)

Thus, we have a total of 16 combinations and the  probability that the two numbers have an even sum is:

P(two numbers with even sum) = 8/16 = 0.5

8) The probability that the two are even is:

4/16 = 1/4

= 0.25

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Answer:

To solve for k, we first need to isolate k on one side of the equation by subtracting 61.1 from both sides:

K/7.8 + 61.1 - 61.1 = 17.8 - 61.1

K/7.8 = -43.3

Next, we multiply both sides by 7.8 to isolate k.

K = -43.3 * 7.8

K = -338.34

Therefore, k is approximately equal to -338.34.

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

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Answer:

2x(x - 4)

Step-by-step explanation:

\(2 {x}^{2} - 8x \\ \\ = 2x(x - 4)\)

Answer:  d = -9/8

Steps: 5d + ½ = d - 4

Subtract ½ from both sides: 5d + ½ - ½  = d - 4 - ½

Simplify: 5d = d - 9/2

Subtract d from both sides: 5d - d = d - 9/2 - d

Simplify: 4d = -9/2 ÷ 4

Simplify: d = -9/8

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hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful

Answer:   \(\frac{10}{\sqrt{3}}\)

This is equivalent to \(\frac{10\sqrt{3}}{3}\)

======================================================

Explanation:

To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.

This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.

The expression \(\frac{10}{\sqrt{3}}\) is the same as \(\frac{10\sqrt{3}}{3}\) after we multiply top and bottom by sqrt(3) to rationalize the denominator.

Side notes:

Answer:

108 : 145

Step-by-step explanation:

253 - 108 = 145

Ratio of those who receive 2 weeks of paid vacation is 108

Ratio of those paid vacation is not 2 weeks is 145

108 : 145

Answer:

A ) Not orthogonal to each other

B) 50i + 40j + 105k

C) The tensor product is attached below

D ) The value of X = F.X is attached below

Step-by-step explanation:

attached below is the detailed solution of the above problem

A) for the vectors ( u ) and ( v ) to be orthogonal to each other [ U.V has to be = 0 ] but in this scenario  U.V = 4 hence they are not orthogonal to each other

b) The vector normal to plane is gotten by : U x V

= 50i + 40j + 105k

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Answer:

Step-by-step explanation:

I've already answered this question.

Answer:

a) response variable

Step-by-step explanation:

The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.

In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.

In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".

The perimeter of the rectangular table is 52m.

What are the rectangle's area and perimeter?

When calculating a rectangle's area, we multiply the length by the width of the rectangle. In essence, the area of a rectangle is equal to the sum of its length and breadth. The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area.

Area of rectangular table = length * breadth

Here, length of the table = 3x+2

width of the table = 9

Area of rectangular table = 153m

(3x+2) * 9 = 153

3x + 2 = 153/9

3x = 17 -2

x = 15/3

x = 5

Now, the length of the table = 3x+2

= 3*5 + 2

= 15+2

= 17m

Perimeter of the rectangle = 2(length+width)

= 2(17+9)

= 2(26)

= 52m

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Answer:

5

Step-by-step explanation:

Hop the spaces from 1 until you reach to 6 and you get 5 hops

Answer: 4000

Step-by-step explanation:

The athletic director can therefore draw the conclusion that the average academic standing of football players is comparable to the average standing of other student athletes.

The following formula is used to determine the test statistic:

SRS, s = 0.54, n = 40 > 30,

x = 3.18

H0: μ = 3.10

H1: μ > 3.10

α = 0.05

The t-distribution table and our alpha level of.05 are then used to determine our crucial values.

Our critical values are 2.093 for a two specimens with 19 levels of freedom and α = 0.05 level of significance.

t = x -  μ / s/√n

t = 3.18 - 3.10/ 54/√20

t = 0.66

As a result, It is clear that sampling error is the only possible explanation for the discrepancy between both the sample mean as well as the hypothesized value.

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

A table that correctly represents this ratio include the following: D. table D.

In Mathematics, a ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

In this exercise, you are required to determine a table that contains an equivalent ratio of students to adults on a field trip;

S:A = 56:7 = 8:1

Therefore, we would add 8 to the number of students and 1 to the number of adults as follows;

S:A = (56 + 8):(7 + 1) = 64:8

S:A = (64 + 8):(8 + 1) = 72:9

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Answerj,   C v v .

Step-by-step explanation: