John must score 80% correct on a test to qualify for a job. His score was 27/36. Does he qualify? What is the percent?

Answer:

it is c hope it helps

Step-by-step explanation:

b.) x=3+2i and x=3- 2i

Answer:

Solution given:

\((5x-15)²=-100\)

doing square root on both side

\(\sqrt{(5x-15)²}=\sqrt{-100}\)

5x-15=\(\sqrt{(-1*10²}\)

since we know that i²=-1,replacing it we get

\(5x-15=\sqrt{i²*10²}\)

5x-15=±10i

dividing both side by 5 we get

\(\frac{5(x-3)}{5}=\frac{±10i}{5}\)

x-3=±2i

either

x=2i+3

or

x=-2i+3

x=3-2i

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

(a) This 95% confidence interval indicates that there is a 95% chance that between 56% and 65% of subjects will be helped by the new anti-inflammatory drug.

(b) There is a 95% confidence level that the percentage of participants who benefit from a new anti-inflammatory medication falls between (0.56, 0.65).

(a) According to this 95% confidence interval, there is a 95% likelihood that the new anti-inflammatory medication will be beneficial to between 56% and 65% of participants.

(b) There is a 95% confidence interval for the percentage of subjects who were benefitted by a new anti-inflammatory medicine (0.56, 0.65).

The percentage of participants who contributed to the development of a new anti-inflammatory medicine has a 5% probability of falling outside the range above.

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Answer:

We can start by using the second equation to eliminate x:

2x + 5y - 2z = 3

2x = -5y + 2z + 3

x = (-5/2)y + z + 3/2

Now we can substitute this expression for x into the first and third equations:

x + y + z = 4

(-5/2)y + z + 3/2 + y + z = 4

(-5/2)y + 2z = 5/2

x + 7y - 7z = 5

(-5/2)y + z + 3/2 + 7y - 7z = 5

(9/2)y - 6z = 7/2

Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.

Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:

(-45/2)y + 18z = 45/2

(45/2)y - 30z = 35/2

Adding these two equations, we get:

-12z = 40/2

-12z = 20

z = -5/3

Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:

(-5/2)y + 2(-5/3) = 5/2

(-5/2)y - 10/3 = 5/2

(-5/2)y = 25/6

y = -5/12

Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:

x + y + z = 4

x - 5/12 - 5/3 = 4

x = 29/12

Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:

2x + 5y - 2z = 3

2(29/12) + 5(-5/12) - 2(-5/3) = 3

29/6 - 5/2 + 5/3 ≠ 3

Since there is no solution that satisfies all three equations, the system is inconsistent.

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.

Given system of equations:

\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)

Rearrange the first equation to isolate x:

\(x=4-y-z\)

Substitute this into the second equation to eliminate the term in x:

\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)

Subtract the first equation from the third equation to eliminate x:

\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)

Now we have two equations in terms of the variables y and z:

\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)

Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:

\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)

Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.

For example, if we subtract the second equation from the first equation we get:

\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)

Zero does not equal negative 11.

Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Answer:

x = 11

Step-by-step explanation:

Hello!

We can solve for x by isolating the variable.

The value of x is 11.

At centroid medians bisect each other in the ratio 2:1

\(\\ \sf\longmapsto OC=2(OD)\)

\(\\ \sf\longmapsto 2(3x-2)=5x\)

\(\\ \sf\longmapsto 6x-4=5x\)

\(\\ \sf\longmapsto 6x-5x=4\)

\(\\ \sf\longmapsto x=4\)

The value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.

In the question, we are given that O is the centroid of triangle ABC, and are asked to find the value of x, for which OD = 3x - 2, and OC = 5x.

We know that the median is divided by the centroid of the triangle in a ratio of 2:1.

Thus, the median CD is divided by the ratio of 2:1 as,

2/1 = OC/OD,

or, 2/1 = (5x)/(3x - 2),

or, 2(3x - 2) = 1(5x) {Cross-multiplying},

or, 6x - 4 = 5x,

or, 6x - 5x = 4,

or, x = 4.

Thus, the value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

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According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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3.5 * 1.9 = answer

3.5 * 1.9 = 6.65

$6.65 is new price

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

Step-by-step explanation:

3.9

Answer:

1/2

Step-by-step explanation:

2/4 is equal to 1/2, because if you divide 4 by 2 you get 2, and if you divide 2 by 2 you get one.

Basically, the simplification process would look something like this...

2/4 ÷ 2/2 = 1/2

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

92.119

Step-by-step explanation:

0.84+91.279=92.119

Hope this helps!

Answer:

92.119

Step-by-step explanation:

Hope this helps :)

The center of the data is 12.65

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

To find the center of the data set {21.3, 13.7, 21.2, 9.3, 11.6, 10.5}, we need to compute its measures of central tendency.

Mean: The mean is found by adding up all the values in the data set and dividing by the total number of values.

Mean = (21.3 + 13.7 + 21.2 + 9.3 + 11.6 + 10.5) / 6 = 15.8

Therefore, the mean of the data set is 15.8.

Median: The median is the middle value in a sorted list of values. To find the median, we need to sort the values in ascending order:

{9.3, 10.5, 11.6, 13.7, 21.2, 21.3}

The median is the middle value, which is 12.65, the average of 11.6 and 13.7.

Therefore, the median of the data set is 12.65.

Mode: The mode is the value that appears most frequently in the data set. In this case, there is no value that appears more than once, so there is no mode.

Since the mean and median are different, we can say that the data set is skewed. In this case, the median is a better measure of central tendency, since it is less affected by extreme values than the mean.

Therefore, the center of the data set {21.3, 13.7, 21.2, 9.3, 11.6, 10.5} is 12.65

Hence , the center is 12.65

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Answer:

3200 of 768 is 416.67%

Step-by-step explanation:

There's your answer hope this helps.

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

311 I ALREADY TOKK THIS TEST

Step-by-step explanation:

Answer:

The Sample space

Step-by-step explanation:

The collection of all equally likely outcomes is known as the- the sample space.

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

You gave no options but the simplest way to solve this is to set it equal to all of the answers to see if it is correct.

Answer:

Rational

Step-by-step explanation:

Rational numbers:

Rational numbers are such numbers that can be expressed in the form p/q, where the value of q must not be equivalent to 0.

Irrational numbers:

These numbers cannot be expressed in the form p/q, where the value of q must not be equivalent to 0.                                                                                                                                          

\(\implies 2.89 = \dfrac{289}{100} \ \ \text{[In} \ \frac{\text{p}}{\text{q}} \ \text{form (\text{q}} \neq 0)]}\)

Thus, 2.89 is a rational number.

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

Answer:

h(0) = -5

Step-by-step explanation:

Given that,

→ x = 0

Then the value of h(0) will be,

→ h(x) = -x - 5

→ h(0) = -0 - 5

→ [ h(0) = -5 ]

Hence, the answer is -5.

Answer:

x=-5

Step-by-step explanation:

Well, if you put 0 in for h(0) you get 0=-x-5

-x=5

x=-5