Use substitution to solve the system.5x-4y = -30–2x+y = 9 x= y=

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

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Answer:

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Step-by-step explanation:

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Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer:

C is the answer, please choose the letter C that's the answer

Answer:

Step-by-step explanation:

I think they both spend 300$

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

The 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

What is confidence interval?

A confidence interval is defined as the estimate's mean plus and minus the estimate's range.

We are given that the mean(x) = 50.560, s = 1.68, and the sample size is over 30.

Using the formula, we get

95% confidence interval

⇒Mean(x) (+/-) 1.96 (1.68/v40)  

⇒(50.560 - 0.511 , 50.560 + 0.511)

⇒(50.049, 51.071)

99% confidence interval

⇒Mean(x) (+/-) 2.576 (1.65/v40)

⇒(50.560 - 0.672, 50.560 + 0.672)

⇒(49.888, 51.232)

Hence, the 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

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The correct graph is Option D - the bottom left graph.

Given function is f(x)=ceil(x+1)

To plot graph of f(x) in interval of(-3,3) :

ceil(x+1) is ceiling function

The output of ceil(x) is least integer greater than x

for example ceil(5.5)=6

For an interval of (-3,-2):

Take x=(-2.4)

x+1=(-1.4)

y=f(x)=ceil(x+1)=(-1)

Similarly,

For an interval of (-2,-1):

Take x=(-1.4)

x+1=(-0.4)

y=f(x)=ceil(x+1)=(0)

For an interval of (-1,0)

y=f(x)=1

For an interval of (0,1)

y=f(x)=2

For an interval of (1,2)

y=f(x)=3

For an interval of (2,3)

y=f(x)=4

Thus, The correct graph is the bottom left graph.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

5.6

Step-by-step explanation:

In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

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The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Using the statistical tool, the following were arrived at:

It should be noted that when arranged from lowest to highest, the IQR represents the central 50% of values.

Find the median (middle value) of the lower and higher half of the data to get the interquartile range (IQR).

These are the quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The difference between Q3 and Q1 is the IQR.

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Answer: C) f(-4) = 54

GIVE ME A THANKS

Step-by-step explanation:

f(x) = 7 ( 3 - x ) + 5

f(-4) = 7 ( 3 - (-4)) +5

f(-4) = 7 ( 7 ) + 5

f (-4) = 49 + 5

f (-4) = 54

Answer:

In the given expression \(7m^3 + 6r^2 - 3r - 8\)

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

Step-by-step explanation:

We are given the expression \(7m^3 + 6r^2 - 3r - 8\)

We need to give variable, coefficients and constant.

Variable: The value of variable may change. It can be represented by x, y or any other letter

Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient

Constant: It is fixed value. It cannot be changed.

So, in the given expression \(7m^3 + 6r^2 - 3r - 8\)

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

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:

The answer is 65 square units

The point on the number line represents the product (- 4), (- 2), and (- 1) will be the negative 8. Then the correct option is A.

It is also known as the product. If the object n is given to m times, then we just simply multiply them.

The point on the number line represents the product (- 4), (- 2), and (- 1) will be

Then the product will be

-4 x -2 x -1 = -8

Then the correct option is A.

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Answer:

it's to be able to add them

Step-by-step explanation:

for example like it shows in the picture,

it wont be easy to add 1/2 and 2/3

so, you unsimplify them to 3/6 and 4/6 so you just add the numerators and the demoninator stays the same

Answer:

The worst-case probability is 0.05

Step-by-step explanation:

The given significance level (\(\alpha\)) = 0.05

since Probability of a type I error is \(\alpha\)

∴ P (type I error) = 0.05

0.05 will be the worst-case probability of a type I error in at least one of the tests.

Answer:

when 2 lines intersect ,4 angles are formed.in that vertically opposite angles will be equal. adjacent angles will be found using linear pair{sum of linear pair of angles will be 180degree}.

Step-by-step explanation:

because

Answer:

6.6 repeating = 6.7

46/7 = 6.7

6.8 = 6.8

47(root) = 6.9

Some of these answers have repeating numbers so I just rounded em.

Hope this helps :D

Answer:

it’s C x=65

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.

C.

Answer:

7.447 × 10(to the power of 6.)

Step-by-step explanation:

Answer:

7.447 × 106

Step-by-step explanation:

ye