geometry multiple choice
(will mark brainliest)

Answer:

2x - 3 = 5(x + 6)

2x - 3 = 5x + 30

-33 = 3x

x = -11

Answer:

x= -11

Step-by-step explanation:

1. Expand and distribute.  

2x - 3 = 5x + 30

2.  Subtract 2x from both sides.

2x - 3 = 5x + 30

-2x        -2x

---------------------

    -3 =  3x + 30

4 Subtract 30 from both sides.

-3 =  3x + 30

-30           -30

---------------------

-33 = 3x      

6. Divide both sides by 33.

-33/3 = 3x/3

-11 = x

7. Switch sides

x = -11

Answer:

[tex]t \approx 2.639[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}{} & {USA\ 1} & {Japan\ 2} & {\bar x} & {64.6} & {67.5} &{n} & {30} & {30} & {\sigma} & {4.0} & {4.5} \ \end{array}[/tex]

See attachment for data

Required

Determine the test statistic

The test statistic is calculated using:

[tex]t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}}[/tex]

So, we have:

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{4.0^2}{30} + \frac{4.5^2}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00}{30} + \frac{20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00+20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{36.25}{30}}}[/tex]

[tex]t = \frac{-2.9}{\sqrt{1.2083}}[/tex]

[tex]t = \frac{-2.9}{1.099}[/tex]

[tex]t \approx -2.639[/tex]

The absolute value is:

[tex]t \approx 2.639[/tex]

Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.

Therefore, 6 Hours/900 becomes our quotient

Again, since the denominator is larger we invert it to 900 calls/6 Hours

To get a demand of 150 calls per hour.

We need to be able to handle 150 calls per hour.

So how Many Call Representatives are needed?

Again, our historical data tells us that each person can handle 10 calls an hour.

Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!

Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.

Answer:

x = -7

Step-by-step explanation:

14(x - 2) = 3(-42)

14x - 28 = -126

14x = -126 + 28

14x = -98

x = -7

Answer:

Answer:

x=−1.27794

Step-by-step explanation:

x(x−5)2=x2−52

x3−10x2+25x=x2−52

Step 1: Subtract x^2-52 from both sides.

x3−10x2+25x−(x2−52)=x2−52−(x2−52)

x3−11x2+25x+52=0

Step 2: Use cubic formula.

x=−1.27794

Hope it helps +_+

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

Answer:

(10.891; 15.869)

Step-by-step explanation:

Given the data::

15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14

The confidence interval is obtained using the relation :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Using a calculator, the mean value of the data and standard deviation above is :

Mean = Σx / n ; n = sample size

Mean, xbar = 281 / 21

Mean = 13.38

Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]

Standard deviation, s = 5.82

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% confidence level = 1.96

Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489

Confidence interval :

Mean ± margin of error

13.38 ± 2.489

Lower boundary = (13.38 - 2.489) = 10.891

Upper boundary = (13.38 + 2.489) = 15.869

(10.891; 15.869)

Answer:

1. quarter turn 2. B 3. (b,-a)

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

favorable outcomes/total number of outcomes=probability

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Previous extractions do not influence the probability

Answer:

1.835

Step-by-step explanation:

use pythagoras theorem to find missing side

use sin to find missing angle

missing side/13 = 1.835

Answer:

Greater Than [The second choice]

Step-by-step explanation:

Answer:

-50x + 40

Step-by-step explanation:

10(-5x+4)

-50x + 40

Answer:

12,6,3

Step-by-step explanation:

its dividing by half

Answer:

Step-by-step explanation:

a^x. a^y=a^{x+y}

4²*4^8=4^{10}

Answer:

4 to the power of 10

Step-by-step explanation:

Answer:

P(for) = 5/8

P(against) = 3/10

P(undecided)= 3/40

Step-by-step explanation: Again, find the total number of people Devi surveyed.

40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.

Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.

Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.

Answer:

38%

Step-by-step explanation:

Answer:

38% is correct

ED2021

Answer:

The building is 64.6 feet tall.

Step-by-step explanation:

To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;

Height of the building = x + 5

But,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]

x = 50 x Tan [tex]50^{o}[/tex]

  = 50 x 1.1918

  = 59.59

x = 59.59

Height of the building = x + 5

                     = 59.59 + 5

                     = 64.6 ft

The height of the building is 64.6 feet.

Answer:

1014 in

Step-by-step explanation:

(13 x 13) x 6 = 1014 in^3

Answer:

The answer should be A (676)

Step-by-step explanation:

Answer:

D. 270 cm2

Step-by-step explanation:

2*(15*5 + 15*3 + 5*3) = 270 cm2

Answer:

24

Step-by-step explanation:

Count the amount of answers she got.

Answer: Use the figures to complete the statements.

The height of the triangle h is

✔ 12

in.

The area of the triangle is

✔ 48

in.2.

The area of the parallelogram is

✔ 80

in.2.

The area of the irregular figure is

✔ 128

in.2.

Step-by-step explanation: I js now got it right by the power of guessing

Answer:

175 /2

Step-by-step explanation:

ANSWER

l

Or

Or

EXPLANATION

The given line has slope,

and

We can find the equation in the point slope form, which is given by,

We substitute the point and slope to get,

We can also simplify further to get,

We make y the subject to get,

This is called the slope intercept form.

We could also write in standard form to get

Or

Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40

Answer:

y = -3

x = 1

Step-by-step explanation:

6x-4y=18

3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3

substitute for x:

6((-2y - 3)/3) - 4y = 18

2(-2y - 3) - 4y = 18

-4y - 6 - 4y = 18

-8y - 6 = 18

-8y = 24

y = -3

x = (-2(-3) -3)/3 = 1