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Answer:

Step-by-step explanation:

according to the question

[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]

[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]

[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]

[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]

[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]

Answer:

x = -9

Step-by-step explanation:

3^16 = (1/9)^x

9^18 = 9^-x

On comparing co-efficients :

-x = 9

x = -9

Answer:

When t = 3, y = 12.  y = 4t, for t>0

Step-by-step explanation:

8 = 4 x 2; y = 4 x 3 = 12.

Answer:

None

Step-by-step explanation:

2(x + 10) - 17 = 2x - 2

simplify:

2x + 20 - 17 = 2x - 2

2x + 3 = 2x - 2

subtract 3 from both sides of the equation:

2x = 3x -5

no solution

Answer:

A. 72×9=1/8

Step-by-step explanation:

the other two are decimals so it is A

Hope this helps!!

Answer:

B

Step-by-step explanation:

Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm

Hope this helps!

Answer:

Step-by-step explanation:

I don't think u can tell from that because u need the length of each movie

Step-by-step explanation:

Due to the time it took to solve this question, I had little time to type the answers fully

The answers are contained fully in the attachment I have uploaded.

A. H0: u1 = u2

H1: u1 not equal to u2

The t statistics was solved to be 3.03

The degree of freedom was solved to be 26

Given this information, this is a 3 tailed test, critical value at 5% = +-2.056

T stat > critical value

We therefore reject the null hypothesis at 5% and conclude they have different mean wear

The p value is calculated using excel and the result is 0.00544

We reject null at 5% since p value is less than 0.05

B. H0: u1 = u2

H1: u1>u2

Alpha = 0.05

Following a,

Test stat = 3.03

Df = 26

Critical value for 1 tailed test = 1.706

Test stat > 1.706

We reject H0 and conclude company 1 has higher mean wear.

We find p value for a right tailed distribution using excel

Tdist(3.03,26,1)

= 0.002722

We reject h0

C. Confidence interval

1.610 < u < 8.390

Answer:its library to police station

Step-by-step explanation:

71

that's all there is to it

Answer: 71

Step-by-step explanation: 6.39 /0.09

71

Answer:

75cm is the measurment

Step-by-step explanation:

It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

21 new employees.

This means that [tex]n = 21[/tex]

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that [tex]p = 0.5[/tex]

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]

[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]

[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]

[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Answer:

The answer is −6(10a−7)(a−10)

Step-by-step explanation:

1) Factor out the common term 6.

[tex] - 6( {10a}^{2} - 107a + 70)[/tex]

2) Split the second term in 10a² - 107a + 70 into two terms.

[tex] - 6( {10a}^{2} - 7a - 100a + 70)[/tex]

3) Factor out common terms in the first two terms, then in the last two terms.

[tex] - 6(a(10a - 7) - 10(10a - 7))[/tex]

4) Factor out the common term 10a - 7.

[tex] - 6( 10a - 7)(a - 10[/tex]

Therefor, the answer is -6 ( 10a - 7) (a - 10).

Answer:

option A is your answer okk

Answer:

30 yards

Step-by-step explanation:

the dotted line causes a rectangle and a triangle to be formed. the formula for area of a triangle is base times height divided by 2. you subtract 6 from 9 which is 3 and multiply it by 4 as it is the height of the triangle after, divide by 2 . since 4 and 3 is 12, dividing 12 by 2 is 6 which is the area of the triangle. the area of the rectangle is 6 times 4 which is 24. add 24 and 6 and u get 30

Answer: ratinal?

Step-by-step explanation:

Answer:

Step-by-step explanation:

30

Answer:

24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50

Answer:

domain:{10,28,42,52}

range:{-10,6,10}

Step-by-step explanation:

Hello There!

If you didn´t know the domain is the set of x values

the x values in the given relation are

10,28,42,10 and 52

so the domain is {10,28,42,52}

The range is the set of y values

the y values in the given relations are

6,-10,6,10,10

so the range is {-10,6,10}

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

Answer: 1224 miles

Step-by-step explanation:

Given

the average speed of a person is 51 mph

If speed is increased to 72 mph, he would have reached 7 hr earlier

Suppose d and t be the distance and time taken

[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]

If the speed is 72 mph

[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]

Also, [tex]t_1-t_2=7[/tex]

[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]

Answer:

Coefficient is your answer

Answer:

3 is a coefficient

Step-by-step explanation:

a constant is a number without a variable and that is unchanging

3 has the variable w attached to it and will change with the value of w

hope this helps <3

9514 1404 393

Answer:

  (a, b) = (√2/2, √2/2) . . . . . choice C in each case

Step-by-step explanation:

The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...

  (cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)

The coordinate of point (a, b) is (√2/2, √2/2)

Note that the points on a unit circle will not have coordinate values greater than 1.

The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)

a = cos45 = √2/2

b = sin45 = √2/2

Hence the coordinate of point (a, b) is (√2/2, √2/2)

Learn more on unit circle here: https://brainly.com/question/23989157

Answer:

you add and subtract

Step-by-step explanation:

You need to match the sum/difference with the expression

Example -

A. 5x+2x 15x+2y (B)

B. 7x+8x+2y. 7x (A)

That's how you match it

Answer:

Also need help

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.