Evaluate the expression
33(4a), if a = 2.

Answer:

Step-by-step explanation:

The null and the alternative hypothesis is:

[tex]H_o: \mu_c \ge \mu_{us}[/tex]

[tex]H_a : \mu_c < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}[/tex]

[tex]t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}[/tex]

t = -2.017  

degree of freedom = (n₁ - 1) + (n₂ - 1)  

= (100 - 1) + (130 - 1)

= 228

Using the data of t-value and degree of freedom;  

The P-value = -0.224

Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.

Answer: You’ve probably found the answer but it’s C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

35percent was yonger

Answer:

A

E

F

Step-by-step explanation:

These fractions divided equal repeating decimals.

Hope it helps and is correct!

Answer:

the second one or b. :)

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{10}x + 6[/tex]

500 cups cost $56

Step-by-step explanation:

Given

[tex]x = cups[/tex]

[tex]y = cost[/tex]

[tex](x_1,y_1) = (150,21)[/tex]

[tex](x_2,y_2) = (300,36)[/tex]

Solving (a): Linear Equation

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute right values

[tex]m = \frac{36 - 21}{300- 150}[/tex]

[tex]m = \frac{15}{150}[/tex]

[tex]m = \frac{1}{10}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex](x_1,y_1) = (150,21)[/tex]

[tex]m = \frac{1}{10}[/tex]

This gives:

[tex]y = \frac{1}{10}(x - 150) + 21[/tex]

Open bracket

[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]

[tex]y = \frac{1}{10}x - 15 + 21[/tex]

[tex]y = \frac{1}{10}x + 6[/tex]

Solving (b): Cups of coffees for $56

Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]

[tex]56 = \frac{1}{10}x + 6[/tex]

Subtract 6 from both sides

[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]

[tex]50 = \frac{1}{10}x[/tex]

Multiply both sides by 10

[tex]10 * 50 = \frac{1}{10}x * 10[/tex]

[tex]10 * 50 = x[/tex]

[tex]500 = x[/tex]

[tex]x = 500[/tex]

Hence: 500 cups cost $56

Answer:

Step-by-step explanation:

Answer:

There were 72 kids there.

Step-by-step explanation:

This question can be solved using proportions, by a rule of three.

The number of kids and time are inversely proportional, that is, if we increase the number of kids to build the castle, the time it takes will decrease. This means that to solve the rule of three, instead of applying cross multiplication, we apply line multiplication.

We have that:

30 kids - 6 hours

x kids - 2.5 hours.

Applying line multiplication

[tex]2.5x = 30*6[/tex]

[tex]x = \frac{180}{2.5}[/tex]

[tex]x = 72[/tex]

There were 72 kids there.

Answer:

Its A

Step-by-step explanation:

But don't believe me this is wrong

Answer:

t = ±10

Step-by-step explanation:

after using the FOIL method you have the following:

490 + 49t - 49t - 4.9t²

middle two terms zero out

h(t)= -4.9t² + 490

if you multiply by -10 you can get perfect squares

h(t) = 49t² - 4900 which has two factors:  (7t + 70)(7t - 70)

now set each factor equal to zero and solve:

7t + 70 = 0                      

7t = -70

t = -10

7t - 70 = 0                      

7t = 70

t = 10

Answer:

14.333 yards

516 inches

Answer:

3) 43 ft = 14.33 yards and 516 inches.

Step-by-step explanation:

43 ft = ? yards

Divide 43 by 3: 43 ÷ 3 = 14.33 yards

43 ft = ? inches

Multiply 43 by 12: 43 × 12 = 516 inches

Answer:

puede hacer 26 pisos y le sobran 4 galletas

Since you cannot really factor this problem easily, we are going to resort to the quadratic formula!

x= -b+or- sqrt(b^2-4ac)    / 2a

x=-17+ or - sqrt(17^2-4*50)   /2

x=-17+ or - sqrt89 /2

Now we just need estimate sqrt 89 which is about 9.43 and I will not bother to show the step I did to estimate its about 9.43.

So x= -17+ or -9.43 /2

x= -26.43/2 or -7.57/2

x=-13.215 or -3.785

Round to nearest tenth digit.

x= -13.2 or -3.8

Hope this helps any questions just ask in the comments.

Answer:

B is not equal to the others

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-6 Divided By 2/3 = -9

2/3 multiplied by -9 = -6

Your  answer will be z = -6/3 or -9

If its wrong I tried-

Answer:

1.0.87

2.87/100

3.25%

4.0.25

5.35%

6.7/20

Step-by-step explanation:

Answer:

24 glasses

Step-by-step explanation:

We are given that

Estelle has juice=6 liters

She pours juice in one glass=0.25 L

We have to find the number of glasses of juice made by her.

Using unitary method

0.25 L juice pour in 1 glass

1 L juice pour in 1/0.25 glasses

6 liters  juice pour in glasses=[tex]\frac{1}{0.25}\times 6[/tex]

6 liters  juice pour in 24 glasses

Hence, she will make 24 glasses of juice.

Answer:

∠b = 61°

Step-by-step explanation:

∠b + 29° = 90°

∠b = 90° - 29°

∠b = 61°

Answer:

Step-by-step explanation:

Again, parentheses would help with clarity. f(x) = (x^2-2x-3)/(x-3)

The denominator is x-3. Division by 0 is undefined, so x ≠ 3.

Answer:

3(8+6y)

Step-by-step explanation

multiple 3 x8

then 3 x 6y

your answer is 24+18y

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Answer:

The answer is 35:10

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Add the parts of the ratio to get the whole (7 + 2). Divide the total number of beads and the sum of the ratio to find out how many times you'll multiply (45 ÷ 9). Use the ratio to multiply by 5 (5 • 7) and (5 • 2).

There are 35 black beads and 10 white beads.

So, there are 25 more black beads than white beads.

Answer: 80

Step-by-step explanation:

8 times more than ten is 80

The value of {x} is equivalent to 7.

Given are two triangles ΔJTU and ΔJLK.

The triangles ΔJTU and ΔJLK are similar.

We can write the proportional relation as -

{JU/JK} = {JT/JL}

{- 4 + 4x/64} = {27/72}

{- 4 + 4x/64} = 3/8

- 4 + 4x = 24

4x = 28

x = 7

Therefore, the value of {x} is equivalent to 7.

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The value of x is 7.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔJKL and ΔJUT

If T and U are midpoints on JL and JK, then TU is parallel to LK.

Then ∠T=∠L (Corresponding angles)

∠U=∠K (Corresponding angles)

Hence, ΔJKL is similar to ΔJUT

Now, JT/JL = JU/JK = TU/LK

27/72 = -4+4x/64 = 36/96

9/24 = -4+4x/64 = 12/32

3/8 = -4+4x/64 = 3/8

-4+4x/64 = 3/8

-4+4x=24

4x=28

x=7

Therefore, the value of x is 7.

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Answer:

Step-by-step explanation:

the average rate of change is the same as

the slope of a line m = (y2-y1)/(x2-x1)

to find if is positive of negative look at the line between the years given (for example between 1930 and 1940)

if from left to right the line goes downward the rate of change is negative

if from left to right the line goes upward the rate of change is positive

Answer:

2

Step-by-step explanation:

5 weeks divded by 15 chapters times 6 chapters = 2 weeks