A certain number is multiplied by 4 and the results equals 8 less than 8 times of the number. Find the number

The probability of obtaining a random sample of 75 units from a production process where the true fraction of nonconforming product is 0.01 is extremely high. This is because 0.01 is an extremely low fraction, meaning that out of the 75 units in the sample, only 0.75 would be expected to be nonconforming.

The probability that the fraction of nonconforming product is exactly 0.01 (with 0.75 nonconforming units out of 75) can be calculated using the binomial distribution. This distribution assumes that each unit has an independent probability of being nonconforming, and that this probability is the same for each unit. The probability that the sample will have exactly 0.75 nonconforming units out of 75 is 0.907.

Thus, the probability that the true fraction of nonconforming product is exactly 0.01 is very high, and it is likely that a random sample of 75 units drawn from the production process will have a fraction nonconforming that is close to 0.01.

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Answer:

142 degrees

Step-by-step explanation:

since line GJ is a straight line, its angle measure is 180 degrees. The measure of angle HZJ is 38. Angle HZJ and angle HZG are supplementary, which means their angle measures add up to 180 degrees. So,

180-38=142.

Hope this answer helps!! :D

Thomas packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches and  had firmed 7100 ml of haze.

What's meant by equation?

Given that;

He made 8700 ml haze and he packed1.6 liter haze.

1 liter = 1000 milliliters

liter = 1.6 × 1000

litre = 1600 ml

Chancing the firmed haze-

8700 ml- 1600 ml

7100 ml.

Hence

Frozen haze = 7100 milliliters.

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Step-by-step explanation:

suppose you brought 45 shares of telecommunications company 4 years ago at a price of $63.00 per share. you just sold it for $71.50 per share. how much did you make

We know that RS is parallel to PQ by comparing RS and PQ and both vector have the same value and hence prove to be parallel.

We know that R, S, Q and P are midpoints of OC, CB, BA and OA, and we are given that OR = a, CS = b and OP = c

we have to prove that RS is parallel to PQ,

therefore we need to find, PQ = PA + AQ,

= c - c + a + b = a + b,

since we get that  PA = OP = c

therefore when we compare RS and PQ ,we get,

RS  =  PQ = a + b

now that it is clear that both the vectors are same and have the same value we can conclude that they are parallel.

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Answer:

Step-by-step explanation:

The original price of the hat is $35. Paolo paid $28 for the hat.

So discount for the hat is $(35-28) = $7

$7 is discounted from $35. We have to find the percentage of the discount.

To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.

So the discount percentage =

((7/35)×100) %

We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.

((1/5) ×100) %

(100/5)% = 20%

So the hat was discounted by 20%.

Proportion of participants prefer cheese pizza is 0.35 from the sample of 100 students was randomly selected.

A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie or Hawaiian pizza

The number of males who prefers chess pizza is 18.

The number of females who prefers chess pizza is 17.

The total number of students who prefer chess pizza is 18 + 17 = 35.

The total number of students is 100.

The proportion of students who prefers chess pizza is 35/100 = 0.35

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The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.

Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.

From the table, we can see that 23 students ordered a salad and a water.

There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.

Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.

Therefore, the correct answer is d) 23 over 137.

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The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

[tex]\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}[/tex]

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After solving for the line with slope as -2 and point (3,-2) , the y intercept is  (0,4)  .

We use the Point Slope form of a linear equation to write the equation of a line given its slope and a point on the line.

So , the point slope form is ⇒ y - y₁ = m(x - x₁)  ;

Where m = slope , and (x₁, y₁) = point on line .

So , by using the slope (m = -2) and point (x₁, y₁) = (3, -2),

Substituting  these values and simplifying further ,

We get ; ⇒ y -(-2) = (-2)×(x - 3)  ;

⇒ y + 2 = (-2)×(x) + (-2)×(-3) ;

Subtracting 2 from both sides,

we have ;

⇒ y = -2x + 4

The y intercept of line is value of "y" when x = 0.

So , we substitute x = 0 in the equation of line y = -2x + 4  ;

that means ⇒  y = -2(0) + 4 ;

⇒  y = 4 .

Therefore, the y intercept of the line with slope "-2" and passing through the point (3, -2) is (0, 4).

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The required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
Since let the coordinate before dilation be (x, y),
Now when applying the scale factor to the coordinate, the transformation equation is given as,
(X, Y) = (sx , sy)  where s is the scale factor,

Since matching the above equation with the option,

(3.0) dilated by a scale factor of 1/3 a (0, 6) (False)
(3,4) dilated by a scale factor of 1/3 scale factor b (1,0)  (False)
(0,4) after dilation with a scale factor of 1/3 is  (0, 4/3)  (True)

Thus, the required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

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The correct option for a parabola with given details is D i.e. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.

What exactly is a parabola?

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).

In general, if the directrix is parallel to the y-axis, the typical parabola equation is: y² = 4ax.

If the parabola is sideways, i.e., the directrix is parallel to the x-axis, the conventional parabola equation is x² = 4ay.

Aside from these two, if the parabola is in the negative quadrants, the equation can also be y²= -4ax and x² = -4ay.

Now,

The Graph is drawn for option D in the image and it matches the

details provided in the question.

Hence,

           The correct option for a parabola with given details is A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.

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The original number of roommates was 6, determined by comparing the original and new shares of rent per roommate and solving for the minimum number of roommates that satisfies the inequality.

Let's assume that there were 'x' original roommates in the apartment.

When the rent was shared equally among 'x' roommates, each roommate's share was:

[tex]6000/x[/tex]

After four roommates moved out, the remaining roommates continued to share the same rent of $6000 but each person's share increased by $250. So the new share per roommate is:

[tex](6000/x) + 250[/tex]

Since the number of roommates decreased by 4, the new number of roommates is:

[tex]x - 4[/tex]

We know that the new share per roommate is greater than the original share per roommate, so we can set up the following inequality:

[tex](6000/x) + 250 > 6000/x[/tex]

Simplifying the inequality, we get:

[tex]250 > 6000/x - 6000/x[/tex]

[tex]250 > 6000/x^2[/tex]

[tex]x^2 > 24[/tex]

[tex]x > 4.9[/tex]

Since the number of roommates must be a whole number, the minimum value for x is 6.

Therefore, there were originally 6 roommates in the apartment.

The solution involves setting up an inequality to compare the original share of the rent per roommate with the new share of the rent per roommate, and then solving for the minimum number of original roommates that satisfies the inequality.

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0 |-1| , 1.3 , 2, |2.7|

Step-by-step explanation:

it's right because |-1| is an absolute value and the absolute value is 1

Answer:

0,  |- 1| , 1.3,  2,  |2.7|

Step-by-step explanation:

The absolute value of any number, x,  denoted by |x| is the positive of that number

So | 2.7 | = 2.7

| - 1 | =  1

Therefore the order of the absolute values is
0,  1, 1.3, 2, 2.7 which is the same as 0,  |- 1| , 1.3,  2,  |2.7|

Answer:

= 74cm²

Step-by-step explanation:

Perimeter of a rectangle

[tex] = 2(l) + 2(w)[/tex]

therefore

= 2(18) + 2(19)

= 36 + 38

= 74cm².

The occupant load of a one room daycare that is 20' by 30' is 17 people.

The occupant load of the daycare room can be determined by using the formula:

Occupant load = Area of room / Occupant load factor

From the case, we know that the area of the room is 20' x 30', then:

Room area = 600 square feet.

The occupant load factor for a daycare is typically 35 square feet per person. This means that each person in the daycare should have at least 35 square feet of space.

Using the formula, the occupant load of the one room daycare is:

Occupant load = 600 square feet / 35 square feet per person = 17.14 people

Therefore, the occupant load of the one room daycare is 17 people. This means that the daycare can safely accommodate 17 people at one time.

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AB = [1 0] is the 2x2 identity matrix so, AB=I.

        [0 1]

To find a 3x2 matrix B such that AB=I, we need to solve the equation:

A × B = I

where I is the 2x2 identity matrix. We can use the hint given to us to find the columns of B.

Let B1 and B2 be the columns of B. Then we have:

A × B1 = I1

A × B2 = I2

where I1 and I2 are the columns of the 2x2 identity matrix I.

We can solve for B1 and B2 by setting up and solving the following systems of linear equations:

For B1:

1 × B1[1] + 1 × B1[2] = 1

2 × B1[1] + 1 × B1[2] = 0

1 × B1[1] + 1 × B1[2] = 0

For B2:

1 × B2[1] + 1 × B2[2] = 0

2 × B2[1] + 1 × B2[2] = 1

1 × B2[1] + 1 × B2[2] = 0

Solving these systems of equations, we get:

B1 = [-1, 1]

B2 = [1, -1]

Therefore, the 3x2 matrix B that satisfies AB=I is:

B = [-1  1]

     [ 1 -1]

     [ 0  0]

We can verify that AB is indeed equal to the 2x2 identity matrix I:

A × B = [1 2 1] × [-1 1 0] = [(-1)+2  (1)+(-1)  0+0] = [1 0]

           [1 1 1]   [ 1 -1 0]   [ 1+1  (1)+(-1)  1+0]   [0 1]

Therefore, AB = I:

AB = [1 0]

        [0 1]

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The question is -

For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]

A =  1 2 1

       1 1 1

The histogram of the magazine ranks the best paying college degrees in a country is illustrated below.

A histogram is a graphical representation of data that displays the frequency distribution of a set of continuous or discrete data

To construct a histogram, we would first need to determine the range of the data. In this case, the range would be the difference between the highest and lowest starting salaries or mid-career salaries. We would then divide the range into several intervals or "bins" of equal width.

For example, if we use a bin width of $10,000, the first bin would be $40,000-$49,999, the second bin would be $50,000-$59,999, and so on.

We would then count the number of degrees that fall into each bin and plot the counts as bars on a graph, with the bin ranges on the x-axis and the frequency counts on the y-axis. The resulting graph would be a histogram, showing the distribution of the data.

It is important to label the axes of the histogram and include a title that accurately reflects the data being presented.

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Complete Question:

Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid- career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid- career salary.

Degree                     Starting Salary | Mid-Career Salary | % Increase

College Degree A      59,400                     104,000                       75 College Degree B     56,400                      101,000                        79 College Degree C     54,800                      101,000                        84             College Degree D     64,800                      104,000                        60    College Degree E      53,500                       93,400                        75           College Degree F       61,200                       87,700                        43              College Degree G       56,200                      97,700                        74            College Degree H       50,400                      87,000                        73            College Degree I         48,800                     97,800                       100                                College Degree J         60,800                     107,000                      76 College Degree K       47,500                      91,500                              

Frequency 40-49.9

Using a class width of 10, construct a histogram for the percentage increase in the starting salary.

The amount in the account after 8 years will be $352.05.

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P = $300

R= 2%

T = 8 years

We have to use the function

A = P[tex]e^{rt[/tex]

A = 300.00[tex](2.71828)^{(0.02)(8)[/tex]

A = $352.05

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The value of b is given as follows:

b = 12.5 m.

The value of b is obtained applying the proportions in the context of the problem.

The rule of three is given as follows:

5 m - b m.

4 m - 10 m.

Applying cross multiplication, the value of b is obtained as follows:

4b = 50

b = 50/4

b = 12.5 m.

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A 1/2

its just like you have 1 cookie and 2 apples whats the ratio to cookies from apples

In a sample of 20 men, the mean height was 178 cm and a sample of 30 women, the mean height was 164 cm, then the mean height for both groups combined is approximately 172.4 cm.

To find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size.

We can begin by finding the total height of all the individuals in both groups combined. The total height for the men's group would be 20 multiplied by the mean height of 178 cm, which is 3560 cm.

Similarly, the total height for the women's group would be 30 multiplied by the mean height of 164 cm, which is 4920 cm. Adding these two values gives a total height of 8480 cm for both groups combined.

Next, we need to find the total sample size, which is the sum of the sample sizes of the two groups. The total sample size is 20 + 30 = 50.

Finally, we can calculate the weighted average of the means of each group using the formula:

Weighted average = (weight of group 1 * mean of group 1 + weight of group 2 * mean of group 2) / (weight of group 1 + weight of group 2)

In this case, the weights of each group are proportional to their sample sizes. Therefore, the weighted average can be calculated as:

Weighted average = (20/50 * 178 cm) + (30/50 * 164 cm) = 172.4 cm

In summary, to find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size. This is done by multiplying the sample size of each group by its mean height, adding the values, and then dividing by the total sample size.

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Answer:

A formula can help solve problems as it gives the person a step-by-step mini key or guide when needing to actually answer a mathematical or scientific equation or question.

Answer:

The main cause of deforestation is agriculture (poorly planned infrastructure is emerging as a big threat too) and the main cause of forest degradation is illegal logging. In 2019, the tropics lost close to 30 soccer fields' worth of trees every single minute

[tex]x^{\frac{8}{15} }[/tex] is the value of yz when x=y⁵=z³  and x is positive.

Two or more expressions with an Equal sign is called as Equation.

Since x=y⁵=z³

Solve for yz as follows:

we can take the fifth root of x to get y, and the cube root of x to get z:

We can solve for yz as follows:

[tex]y=x^{\frac{1}{5} }[/tex]

[tex]z=x^{\frac{1}{3} }[/tex]

Now yz=[tex]x^{\frac{1}{5} }.x^{\frac{1}{3} }[/tex]

=[tex]x^{\frac{8}{15} }[/tex]

Hence, option A is correct, if  x=y⁵=z³  then yz is [tex]x^{\frac{8}{15} }[/tex]

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Answer:

94.2cm

Step-by-step explanation:

Diameter 30cm

π = 3.14

Circumference of a circle is given by the formula:

C = 2πr

r = radius

Radius is equal to half of the diameter

30/2 = 15cm

Sub into equation:

C = 2(3.14)(15)

C = 94.2cm

Answer:

(a) (0,0)

Step-by-step explanation:
Solving with Elimination method-

Take the first equation-    3x - 2y = 6

Multiply both sides by 2
2(3x - 2y) = 2*6
6x - 4y = 12

Subtract Both the equations-

  6x - 4y = 12
- 6x - 4y = 12
=          0 = 0


The answer is (0,0)