In a cla of 26 tudent 15 of them like math 13 of them like Englih and 9 of them don’t like math or Englih

Answer:

x = 3

y = -4

Step-by-step explanation:

There are multiple ways of solving for X and Y. You can solve by substitution, addition, or subtraction. I'm going to do solve by substitution.

Let's solve for y. Note that y won't be a numerical value but it will be used later trust me.

2x-y=10

-y=10-2x

y = 2x-10

Now we can use y (which is a placeholder) with 2x-10. You will notice that you can solve for x since y is now out of the equation.

4x+(2x-10)=8

6x-10=8

6x=18

x = 3

Now that we have a numerical value for 3, we can use it to find y.

y=2(3)-10 or 2x-y=10

y=-4

Note that you don't have to solve for y at the beginning; you can solve for either value first. Also, you can use either equation to plug in either x or y values.

Answer:

X=2

Y=1

That's the answer

Answer:

a)2/5

b)3/5

C) 1

Step-by-step explanation:

a-8/20=2/5

b-12/20-3/5

c-12+8=20/20=1

i am not that sure about c

hope this help

the slope of A'B' is=  1.2 ,The length of A'C'  in triangle is =  3q unit.

When we dilate a triangle and the center of the dilation is at the center of the triangle, the only thing that changes are the coordinates of the summits of the triangle.

The angles remain the same, so do the slope.

So, since the slope of AB is equal to -1.2, the slope of A'B' will also be -1.2.

They say the dilation factor was 3, that means the length of every side was multiplied by 3.  So, if the length of AC is q units, the length of A'C' is 3q units.

The complete question is-

ΔABC is dilated by a scale factor of 3 with the origin as the center of dilation to form ΔA′B′C′. The slope of AB is -1.2. The length of AB is p units, the length of AC is q units, and the length of BC is r units.

The slope of AB is (?). The length of is (?) units.

the slope of AB is?

A. 1.2 B. -1.2 C. -3.6

The length of AC is ?

A. 1/3q

B. 3q

C.-1.2p

D. (p+q+r)

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Answer:

41

Step-by-step explanation:

pay attention to the order of operation

4*7 - 63/ 9 +20, first multiplication and division from left to right

28  - 7  + 20 , second addition and subtraction from left to right

    21 +20

       41

Answer:

Step-by-step explanation:

Use PEDMAS

First perform division, then multiplication and then addition & subtraction.

4 * 7  - 63÷9 + 20 = 4*7 - 7 + 20    {Division}

                             = 28 - 7 + 20     {Multiplication}

                             =  41

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

and that we use in the second equation

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she was working 14 hours on job A and 9 hours on job B.

Answer:

she is rich

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the method of cross- multiplication

\(\frac{a}{b}\) = \(\frac{c}{d}\) ⇒ ad = bc

If ad ≠ bc then equation is not true

A

\(\frac{10}{12}\) = \(\frac{5}{6}\) , then

10 × 6 = 12 × 5 = 60 ← equation is true

B

\(\frac{69}{100}\) = \(\frac{6}{10}\) , then

69 × 10 = 690 and 100 × 6 = 600

690 ≠ 600 ← equation not true

C

\(\frac{10}{5}\) = \(\frac{200}{100}\) , then

10 × 100 = 5 × 200 = 1000 ← equation is true

D

\(\frac{12}{4}\) = \(\frac{6}{2}\) , then

12 × 2 = 4 × 6 = 24 ← equation is true

Hi!

I can help you with joy! :)

• Here, we need to determine if each equation is true by simplifying fractions.

• The 1st equation states that

10/12 = 5/6

Is it true?

Let’s simplify 10/12 to find out.

Divide 10 and 12 by 2:

5/6

Thus. The 1st equation is true.

How about the next one?

We have 3 options left.

69/100=6/10

Is that correct?

Nope!

Why?

If we simplify 69/100, we will not get 6/10.

In fact, 69/100 cannot be simplified.

Thus, the second equation is not true.

Now, how about Options C and D?

Well, both of these equations ARE true.

Thus, the second equation is not true.

Hope it helps.

Do ask if you have any query.

~Silent~

Answer:

D. 30°

Step-by-step explanation:

By exterior angle theorem:

x° + 70° = 100°

x° = 100° - 70°

x° = 30°

x = 30

Answer:

I'm not 100% sure but i think its a  

Step-by-step explanation:

Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.

The game is fair because there is an equal chance of winning an losing the game.

Probability is simply how likely something is to happen.

\(P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)

Where,

P(E) is the probability of an event.

A fair game is the game in which there is an equal chance of wining or losing.

According to the given question.

Two coins are tossed.

\(\implies sample\ space= \{ HH, HT, TH, TT\}\)

\(\implies total\ number \ of outcomes = 4\)

Therefore,

The probability that you win is given by

\(P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)

\(\implies P(E_{1} )= \frac{1}{4}\)                            (getting HH is a favorable outcome)

\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)

And, the probability that your friend wins the game is given by

\(P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}\)

\(\implies P(E_{2} )=\frac{1}{4}\)                    (getting TT is the favorable outcome)

\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)

Hence, the game is fair because there is an equal chance of winning an losing the game.

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Answer:

1) we get value of  x = -4 and y = -4

2) we get value of x = -7 and y = 3

Step-by-step explanation:

1) Identify the solution to the system of equations.

\(y=\frac{3}{2}x+2\:and\:y=\frac{1}{4}x-3\)

Looking at the graph we can see that two points intersect at (-4,-4) so it is the solution of the system of equations. Verifying by solving:

Let:

\(y=\frac{3}{2}x+2--eq(1)\\y=\frac{1}{4}x-3--eq(2)\)

Put value of y from eq(1) into eq(2)

\(\frac{1}{4}x-3=\frac{3}{2}x+2\\\frac{x-12}{4}=\frac{3x+4}{2} \\2(x-12)=4(3x+4)\\2x-24=12x+16\\2x-12x=16+24\\-10x=40\\x=40/-10\\x=-4\)

Now put value of x in eq(2)

\(y=\frac{1}{4}x-3\\y=\frac{1}{4}(-4)-3\\y=-1-3\\y=-4\)

So, we get x = -4 and y = -4

2)

\(9x+14y=-21\\-x+7y=28\)

Let: \(9x+14y=-21--eq(1)\\-x+7y=28--eq(2)\)

Multiply eq(2) with 9 and add both equations

\(9x+14y=-21\\-9x+63y=252\\------\\77y=231\\y=231/77\\y=3\)

Put value of y in eq(2)

\(-x+7y=28\\-x+7(3)=28\\-x+21=28\\-x=28-21\\-x=7\\x=-7\)

So, value of x = -7 and y = 3

Answer:

16/20

Step-by-step explanation:

4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5

The answer is 16/20 I think.

Answer:

n=2.56

Step-by-step explanation:

Answer:

$48 deposited

Step-by-step explanation:

84 times 1/3 = 28

80 times 1/4 = 20

28 + 20 = 48

We can use the binomial distribution to calculate the probability of getting exactly 1 person in favor of the new building project out of a random sample of 9 people. Let p be the probability that any one person is in favor of the project, and q be the probability that they are not.

Then : p = 50/100 = 0.5 (since there are 50 people in favor out of a total of 100)

q = 1 - p = 0.5

The probability of getting exactly 1 person in favor of the project out of 9 people can be calculated using the binomial probability formula:

P(X = 1) = (9 choose 1) * p^1 * q^(9-1)

where (9 choose 1) is the number of ways to choose 1 person out of 9, and p^1 * q^(9-1) is the probability of getting exactly 1 person in favor and 8 people against.

Using the binomial probability formula, we get:

P(X = 1) = (9 choose 1) * 0.5^1 * 0.5^8

P(X = 1) = 9 * 0.5^9

P(X = 0.009765625)

Therefore, the probability of exactly 1 person out of 9 being in favor of the new building project is approximately 0.0098 or 0.98%.

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Answer: In mathematics, the method of polynomial interpolation is a method for constructing a polynomial function that passes through a given set of points. The polynomial function constructed in this way is called an interpolating polynomial. It is used to approximate a function when it is known only at a few discrete points, and the goal is to find a smooth curve that fits the data as closely as possible.

The method of polynomial interpolation involves finding the polynomial of the lowest degree that passes through a given set of points. This is done by setting up a system of equations using the coordinates of the points, and then solving for the coefficients of the polynomial. Once the coefficients are known, the polynomial function can be evaluated at any point within the domain of the data points.

There are several different techniques that can be used to find the interpolating polynomial, such as the Lagrange interpolation, Newton's divided differences method and the least-squares method. The choice of method will depend on the specific problem and the desired properties of the interpolating polynomial.

In summary, the method of polynomial interpolation is a technique used to construct a polynomial function that passes through a given set of points. It is used to approximate a function when it is known only at a few discrete points and aims to find a smooth curve that fits the data as closely as possible.

Step-by-step explanation:

Step 1:

Write the expression

56.23 - 45.9

Step 2:

To estimate, you will round each decimal number to the nearest whole number.

Step 3:

Next, estimate

Final answer

Option B

10

Answer:

Step-by-step explanation:

Let the angles size = x

The complement of the angle is 90 - x

Two times the compliment is 2*(90 - x)

Three times the angle is 3x

25 less than 3 times the angle = 3x - 25

Now you have to equate the two bolded pieces of information.

3x - 25 = 2(90 - x)                 Remove the brackets

3x - 25 = 180 - 2x                 Add 25 to both sides

     25      25

3x = 205 - 2x                         Add 2x to both sides.

2x              2x

5x = 205                                Divide by 5

5x/5 = 205/5

x = 41

The compliment of x = 90 - 41 = 49

The angle itself = 41

Answer:

See Below

Step-by-step explanation:

Find the area of both, then subtract the pic area from the frame area

16x20 = 320

11x14 = 154

320-154= 166

The applicants that would have to apply in order to meet the target is 52. Option 4 is correct.

We have to define x as the applications to meet target

The number of persons to hire is 30

10 percent do not meet requirements. Hence 90 meets the requirements. 90% of x

= 0.9X

12% fail the pre screening stage. Hence 88% have passed it. This would be 88% of 0.9x. = 0.792x

23% Did not come for the interview, hence 77% showed up. This would be 0.77*0.792x = 0.60984x

then 5% are said to have failed the background test. This means that 95% passed the test.

0.95 * 0.60984x = 0.579348X

We have to equate this to 30 in order to get the value of x

0.579348X = 30

divide through by 0.579348

X = 30 / 0.579348

X = 51.78

X ~ 52

The number of applicants is 52

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Find the slope of the perpendicular line

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

                ⇒  if the slope of this line =  ⁵/₂    

                         then the slope of the perpendicular line (m) = - ²/₅

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:    

                              ⇒  y - 2 =  - ²/₅  (x - (-6))

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                            since   y - 2 =  - ²/₅  (x + 6)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

isnt this a

Step-by-step explanation:

english question

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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Answer:

b

Step-by-step explanation:

Answer:

5 laps in one minute.

Step-by-step explanation:

1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.

Answer:

32

Step-by-step explanation:

it says he already had 32 and earns 10 per week so initial is 32 and increment is 10/week

gAnswer

Range of the sample means = 3.34

Explanation

The range is defined as the difference between the highest and the lowest number. Mathematically,

Range = Highest number - Lowest number

So, the range of the sample means is the difference between the highest and the lowest sample means.

Range of the sample means =

(Sample mean with the highest value) - (Sample mean with the lowest value)

From the table, we can calculate the sample means. The sample mean is given as the sum of the variables divided by the number of variables.

Note that we are told that Charles used only the shaded columns to calculate three sample means. The shaded columns, grouped include

4, 3, 3. Mean = 3.33

8, 5, 7. Mean = 6.67

6, 4, 3. Mean = 4.33

5, 3, 6. Mean = 4.67

Sample mean with the highest value = 6.67

Sample mean with the lowest value = 3.33

Range of the sample means = 6.67 - 3.33 = 3.34

Hope this Helps!!!

Answer:

  C.  20/12 = 100/x

Step-by-step explanation:

The ratio of interest is (fruit juice)/(total liquid) = x/100. The usual way that would be expressed is ...

  (12 cups)/(12 cups + 8 cups) = x/100

  12/20 = x/100

We note that the only answer choice with the numbers 12, 20, and 100 is C. Checking that against the expected relation above, we see that both sides are inverted, so the proportion of C is equivalent to the one we expect.

Answer:

(a)4 units, 3 units

(b) Right-angled triangle

Step-by-step explanation:

We are given that

Let location of drinking  fountain, A =(-4,2)

Location of the bench, B=(0,2)

Location of the center of the slide ,C=(0,5)

a. Distance formula

\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the formula

\(AB=\sqrt{(0-(-4))^2+(2-2)^2}=4units\)

\(BC=\sqrt{(0-0)^2+(5-2)^2}\)

\(BC=\sqrt{3^2}=3\)units

Hence, the distance from the drinking fountain to the bench=4 units

The distance from the bench to the center of the slide=3 units

(b)

\(CA=\sqrt{(-4-0)^2+(2-5)^2}\)

\(CA=\sqrt{16+9}=5\)units

\(AB^2+BC^2=4^2+3^2=16+9\)

\(AB^2+BC^2=25\)

\(CA^2=5^2=25\)

\(AC^2=AB^2+BC^2\)

The triangle ABC satisfied the Pythagoras  theorem. Hence, the triangle ABC is a right angled triangle.

Answer:

(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.

(B) The type of triangle that is created is an right angle triangle because when you connect the 3 locations it creates an right angle triangle on the coordinate

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

for the x-intercep put y=0 then you solve for x