A laptop has a price $300. The store is giving a 15% discount for the laptop. How much will the laptop cost?

Answer:

This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

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The given equation is 2t+15 /t=92, whose solution for t is 1/6.

To solve the equation (2t + 15) / t = 92, we can begin by multiplying both sides of the equation by t to eliminate the denominator. This gives us:

2t + 15 = 92t

Next, we can simplify the equation by subtracting 2t from both sides:

15 = 90t

Finally, we divide both sides of the equation by 90 to solve for t:

t = 15 / 90

Simplifying the expression gives us:

t = 1 / 6

Therefore, the solution to the equation is t = 1/6.

In the given equation, we have (2t + 15) / t = 92. To solve this equation, our main goal is to isolate the variable t on one side of the equation. To eliminate the fraction, we can multiply both sides of the equation by t:

t * (2t + 15) / t = 92 * t

Simplifying the left side of the equation gives us:

2t + 15 = 92t

Next, we can rearrange the equation by subtracting 2t from both sides:

15 = 92t - 2t

Simplifying further gives us:

15 = 90t

Now, to solve for t, we can divide both sides of the equation by 90:

15 / 90 = t

Simplifying the expression gives us:

1/6 = t

Therefore, the solution to the equation is t = 1/6.

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Answer:B

Step-by-step explanation:

Answer:

what site is this on?

Step-by-step explanation:

Answer:

159/20

Step-by-step explanation:

Answer:

24°

Step-by-step explanation:

156° and x° form a straight line, and angles that form a straight line sum to 180°

Thus, 156° + x° = 180°

=> x° = 180° - 156° = 24°

Answer:

Answer is in fraction.--> 1/289.

Step-by-step explanation:

\(17^{-7} =17^{-7+5}=17^{-2} =\frac{1}{17^{2} } = \frac{1}{289}\)

Answer: The second one

Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly

Answer:

2. The correct option is;

D. 112

3. The predicted number of cellular subscription per 100 people in Australia in 2030 is 217 subscriptions

4. The equation of the quadratic regression curve is y = x² - 6×x + 4.1

5. The closest option is;

C. 4191

Step-by-step explanation:

2. The equation for the number of customers in a store is presented as follows;

y = -8.74·x² + 50.57·x + 39.02

Where:

x = Number of hours after opening

∴ When x = 3 hours

y = -8.74×3² + 50.57×3 + 39.02 = 112.07 ≈ 112 people

The correct option is D. 112

3. The expression of the regression equation is presented as follows

y = -0.107·x² + 9.008·x +28.851

Where:

x = Number of years since 1990, hence

When x = 2030 - 1990 = 40 Years

Hence, the predicted number of cellular subscriptions per  people in 2030 is presented as follows;

y = -0.107×40² + 9.008×40 +28.851 = 217.971 Subscribers

To round down to the nearest whole number as y = 217 subscribers

4. The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 0, y = 4.1, therefore;

4.1 =  a×0² + b×0 + c = c

∴ c = 4.1

When x = 1, y = -0.9, therefore;

-0.9 =  a×(1)² + b×1 + c = c

-0.9 =  a + b + 4.1

∴ a + b = -0.9 - 4.1 = -5.0

When x = 2, y = -3.9, therefore;

-3.9 =  a×(2)² + b×2 + c = c

-3.9 =  4·a + 2·b + 4.1

∴ 4·a + 2·b = -3.9 - 4.1 = -8.0

Thus we have two equations;

a + b = -5.0..................(1) and

4·a + 2·b = -8.0 ..........(2)

Multiply equation (1) by 2 and subtract it from equation (2), we have

4·a + 2·b - 2×(a + b) = *8.0 - (2 ×-5.0)

∴ 2·a = 2

a = 1

From equation (1,)  we have;

a + b = -5.0..................(1)

Therefore, where a = 1 we have, 1 + b = -5.0

Hence, b = -5.0  - 1 = -6.0

Therefore, the equation of the quadratic regression curve is presented as follows;

y = x² - 6×x + 4.1

5. The quadratic regression equation is found as follows;

The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 55, y = 3650, therefore;

3650=  a×55² + b×55+ c................(1)

When x = 65, y = 4569, therefore;

4569=  a×65² + b×65+ c ...........(2)

When x = 75, y = 6147, therefore;

6147=  a×75² + b×75+ c............(3)

Solving the system of equation;

3650=  a×55² + b×55+ c................(1)

4569=  a×65² + b×65+ c ...........(2)

6147=  a×75² + b×75+ c............(3)

Subtracting equation (1) from (2), we obtain;

4569 - 3650 =  a×65² + b×65 + c - (a×55² + b×55 + c)

919 = 1200·a + 10·b...........(4)

Subtracting equation (2) from (3), we obtain;

6147 - 4569 =  a×75² + b×75 + c - (a×65² + b×65+ c)

Which gives;

1578 = 1400·a + 10·b...........(5)

Subtracting equation (4) from equation (3), we obtain;

1578 - 919 = 1400·a + 10·b - (1200·a + 10·b)

659 = 200·a

a = 659/200= 3.295

Substituting the value of a in equation (4), we have;

919 = 1200×3.295 + 10·b = 3954 + 10·b

∴ 10·b = 919 -3954 = -3035

b = -3035/10 = -303.5

Substituting the value of a and b in equation (1), we have;

3650 =  (3.295)×55² + (-303.5)×55+ c

3650 = -6725.125 + c

∴ c = 3650 - (- 6725.125)= 10375.125

Therefore, the quadratic regression equation is presented as follows;

y = 3.295·x - 303.5·b +10375.125

Hence, in 1961, x = 1961 - 1900 = 61, we have

y = 3.295×61² - 303.5×61 10375.125= 4122.32

Therefore, the closest option is C. 4191.

Answer:

Step-by-step explanation: I took the test and here are the answers

Answer:

Step-by-step explanation

Her bank account decreased by 3 times.

Please let me know if this helps you!

The expected value of a single turn is given as follows:

E(X) = $10.

Considering a fair coin, the probability of flipping two tails is given as follows:

1/2 x 1/2 = 1/4.

This means that the distribution is given as follows:

Then the expected value is given as follows:

E(X) = 100 x 1/4 - 20 x 3/4

E(X) = $10.

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The frequency table for the lengths of the 25 earthworms is shown in the image attached below.

A frequency table is a type of table that is used to graphically represent the frequencies or relative frequencies associated with a categorical variable.

In this exercise, you're required to complete the frequency table for the lengths of the 25 earthworms as follows:

In conclusion, the frequency table for the lengths of the 25 earthworms is shown in the image attached below.

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Answer: x = 137°

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 43° = 180°

      x   =  137°

The value of x is 137°.

The quadrilateral whose all 4 vertices lie on the circumference of the circle is called an inscribed quadrilateral.

In inscribed quadrilateral opposite angles are supplementary i.e. sum of those opposite angles is 180°.

Here given in the picture that the measurements of the two opposite angles in the inscribed quadrilateral in the circle are 43° and x°.

So as we know in the inscribed quadrilateral opposite angles are supplementary.

So sum of those opposite angles in the quadrilateral is 180°.

so we can write x+43°= 180°

⇒ x = 180°- 43°

⇒ x = 137°

Therefore the value of x is 137°.

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Answer:

me dont know solve it your self HAHAHHH loser

Step-by-step explanation:

Answer:

10+5+4+8=27

2(8+6)

=14×2=28

2(8+6

=16+6=22

Answer:

27

Step-by-step explanation:

i think

Step-by-step explanation:

\(your \: answer \: is \: option \: c \\ 11\)

if 7 employees are each selected from the entire group at random, the probability of selecting 7 employees who work the night shift is relatively small. However, we can't calculate the exact probability without knowing the total number of employees.

If 35% of the employees work night and shift, then 65% of the employees work during the day. To find the probability of selecting 7 employees who work the night shift, we need to use the binomial distribution formula. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the total number of employees, k is the number of employees who work the night shift, p is the probability of selecting an employee who works the night shift (0.35), and (n choose k) is the number of ways to choose k employees out of n.
So, P(X=7) = (n choose 7) * 0.35^7 * 0.65^(n-7). We don't know the value of n, so we can't calculate the exact probability. However, we can say that the probability is relatively small because we are selecting a specific group of employees. If we were just selecting 7 employees at random without any conditions, the probability would be higher.
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Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Step-by-step explanation:

Using it's concept, it is found that the probabilities are:

a. 0.7143 = 71.43% probability that is contains coffee or candy.

b. 0.4348 = 43.48% probability that it contains tea, given that it contain mugs.

c. 0.1558 = 15.58% probability it contains tea and cookies.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

There is a total of 20 + 13 + 10 + 12 + 10 + 12 = 77 baskets, of which 20 + 13 + 10 + 12 = 55 contain coffee or candy, hence:

\(p = \frac{55}{77} = 0.7143\)

0.7143 = 71.43% probability that is contains coffee or candy.

Item b:

13 + 10 = 23 contain mugs, of which 10 contain tea, hence:

\(p = \frac{10}{23} = 0.4348\)

0.4348 = 43.48% probability that it contains tea, given that it contain mugs.

Item c:

Out of the 77, 12 contain tea and cookies, hence:

\(p = \frac{12}{77} = 0.1558\)

0.1558 = 15.58% probability it contains tea and cookies.

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From the diagram, angles OQP and PQR are supplementary, then:

m∠OQP + m∠PQR = 180°

m∠OQP + (7x - 19)° = 180°

m∠OQP = 180 - (7x - 19)

m∠OQP = 180 + 19 - 7x

m∠OQP = 199 - 7x

The addition of the three interior angles of a triangle is equal to 180°, that is:

m∠OQP + m∠OPQ + m∠QOP = 180°

(199 - 7x) + (2x - 3) + (x + 16) = 180

(199 - 3 + 16) + (-7x + 2x + x) = 180

212 - 4x = 180

-4x = 180 - 212

x = (-32)/(-4)

x = 8

And the value of m∠PQR is:

m∠PQR =

solution of the linear system depends upon the slope of the line and it is different in different situations

How can you tell how many solutions a linear equation has?

If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

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Answer:

Step-by-step explanation:

You have to use the distance formula to find that distance.  The formula is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\)

Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:

\(d=\sqrt{ (0-4)^2+(-2-(-1))^2}\)

which simplifies to

\(d=\sqrt{(-4)^2+(-1)^2}\) which is

\(d=\sqrt{17}\) ≈ 4.123 units

Answer:

-x⁹y²

Step-by-step explanation:

(x)^3(−x^3y)^2

Applying distribution property,

Answer:

Multiplication:

4.5x = 36 or ? · 4.50 = 36

Division:

Total cost  / cost per ticket = number of tickets or 36 ÷ 4.50 = ?

The regular polygon has 18 sides.

To find the number of sides of a regular polygon given the relationship between the measures of its exterior and interior angles, we can set up an equation using the properties of polygons.

Let's assume the measure of each interior angle of the regular polygon is represented by "x" degrees. According to the given information, the measure of each exterior angle is 1/8 times the measure of the interior angle. Therefore, the measure of each exterior angle is (1/8)x degrees.

In any polygon, the sum of all exterior angles is always 360 degrees. Since our regular polygon has "n" sides, the sum of all the exterior angles will be equal to 360 degrees.

We can now set up an equation using the information:

(1/8)x * n = 360

To solve for "n," we can multiply both sides of the equation by 8 to eliminate the fraction:

x * n = 8 * 360

x * n = 2880

Since "x" represents the measure of each interior angle and "n" represents the number of sides, we know that the sum of the interior angles in any polygon is given by the formula (n-2) * 180 degrees.

Therefore, we can set up another equation using this formula:

x * n = (n-2) * 180

Substituting the value of x * n from the previous equation:

2880 = (n-2) * 180

Now, we can solve for "n" by dividing both sides of the equation by 180:

2880/180 = n - 2

16 = n - 2

Adding 2 to both sides:

16 + 2 = n

18 = n

Hence, the regular polygon has 18 sides.

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Therefore, m = 7.5454... (rounded to four decimal places) and n = 0.5455...

What is Simultaneous Equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

1) 3p + 4q = 23

10p + 12q = 74

Subtracting 3 times the first equation from the second equation, we get:

10p + 12q - 3(3p + 4q) = 74 - 3(23)

10p + 12q - 9p - 12q = 5

p = 5

Substituting p = 5 in the first equation, we get:

3(5) + 4q = 23

4q = 8

q = 2

Therefore, p = 5 and q = 2.

2) 4s + 2t = 20

11s + 4t = 49

Multiplying the first equation by 2 and subtracting it from the second equation, we get:

11s + 4t - 2(4s + 2t) = 49 - 2(20)

11s + 4t - 8s - 4t = 9

3s = 9

s = 3

Substituting s = 3 in the first equation, we get:

4(3) + 2t = 20

2t = 8

t = 4

Therefore, s = 3 and t = 4.

3) 3a + 4b = 34

12a + 5b = 59

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

12a + 5b - 3(3a + 4b) = 59 - 3(34)

12a + 5b - 9a - 12b = 17

3a - 7b = 17

Multiplying the first equation by 5 and subtracting it from the second equation, we get:

12a + 5b - 5(3a + 4b) = 59 - 5(34)

12a + 5b - 15a - 20b = -61

-3a - 15b = -61

a + 5b = 20

Adding the equations 3a - 7b = 17 and a + 5b = 20, we get:

4a = 37

a = 9.25

Substituting a = 9.25 in the equation a + 5b = 20, we get:

9.25 + 5b = 20

5b = 10.75

b = 2.15

Therefore, a = 9.25 and b = 2.15 (rounded to two decimal places).

4) 6m + 5n = 48

18m + 4n = 78

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

18m + 4n - 3(6m + 5n) = 78 - 3(48)

18m + 4n - 18m - 15n = -6

-11n = -6

n = 0.5455...

Substituting n = 0.5455... in the first equation, we get:

6m + 5(0.5455...) = 48

6m = 45.2727...

m = 7.5454...

Therefore, m = 7.5454(rounded to four decimal places) and n = 0.5455.

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