Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .

Step-by-step explanation:

first you double the temperature change and the hight of change being 18f and 500ft

this makes 36f and 1000ft

you then divide 20000 by 1000 witch is slightly easyer than 20000 divided by 500

this anwser is 20

then do 36-²⁰ witch you have to work out since i can do that in my head right now

Answer:

Fred's dog weighed 33.75 pounds at the appointment in March

Step-by-step explanation:

First you need to convert 25% to a decimal by moving the percent sign twice to the left and you will get 0.25.

Then you multiply 45 by 0.25 to find 25% of 45.

45 x 0.25= 11.25

After multiplying, you just have to subtract the product (11.25) by 45.

45 - 11.25 = 33.75

This is the same was doing 45-25%

Answer: 70/7

Step-by-step explanation: If each player gets 7 pieces, and there are 70 pieces in total, you would divide the amount of pieces each player gets from the actual pieces.

Answer:

x=27°

Step-by-step explanation:

2x+72° = x+<PLM

<PLM = x+72°

3x = x+<PML

<PML = 2x

(x)+(x+72)+(2x)=180°

4x = 108°

x = 27°

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Answer:

200,000

Step-by-step explanation:

I hope this helped!

Answer:

c = 18

Step-by-step explanation:

Given

[tex]\frac{c}{3}[/tex] = [tex]\frac{30}{5}[/tex] = 6

Multiply both sides by 3

c = 3 × 6 = 18

Answer:

124 boys and 161 girls

Step-by-step explanation:

There are 285 students total. Divide 285 by 2, you get 142.5. Since you can't have half a student, lets round it up to 143. Now, there are 19 more girls than guys, so you would subtract 19 from 143. When you do that, (143-19) you get 124. Then you take 285 and subtract 124. You get 161.

Hope this is correct!

Answer:

-27

Step-by-step explanation:

[tex]( \sqrt{3} )^{4} - {6}^{2} \\ \\ = {3}^{2} - {6}^{2} \\ \\ = (3 + 6)(3 - 6) \\ \\ = 9( - 3) \\ \\ = - 27[/tex]

Answer:

0.0125

Step-by-step explanation:

The P-value can be calculated by using excel function T.DIST.RT(2.968,6).

Right tail is used in the function because our alternative hypothesis has greater than sign (>) whereas 2.968 represent test statistic value and 6 represents degree of freedom. The resultant p-value from excel function is 0.0125.

Or if we use t- distribution right tail area table, we see that 6 for degree of freedom the value in table is there are two value 2.44691 and 3.14627 which corresponds to p=0.025 and p=0.01. As 2.44691 is smaller than 2.968 so we take p=0.01 against 3.14627. Thus, in this scenario p-value would be 0.01.

Answer:

2100

Step-by-step explanation:

The laptop costs $300 less than the desktop, so...

let x = cost of laptop

then x+300 = cost of desktop

The total finance charge of $252 is from 7% of the cost of the laptop and 6% of the cost of the desktop:

252+=+.07%28x%29+%2B+.06%28x%2B300%29

252+=+.07x+%2B+.06x+%2B+18

234+=+.13x

1800+=+x

The cost of the laptop is x = $1800;

the cost of the desktop is x+300 = $2100

Answer:

x = 6, Y =7

Step-by-step explanation:

if you need explanation please ask in the comments .....I will edit the answer

Answer:

Step-by-step explanation: a

Complete Question

The complete question is shown on the first and second  uploaded image

Answer:

Part 1

 The correct option is  B

Part 11

   The correct option is  H

Step-by-step explanation:

From the question we are told that

     The sample size is  n  =  15

Generally the sample mean for the input temperature is mathematically represented as

        [tex]\= x _1 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _1 =  \frac{57.6 + 68.9 \cdots +60.4 }{15}[/tex]

      [tex]\= x _1 =  62.57 [/tex]

Generally the sample mean for the output temperature is mathematically represented as

        [tex]\= x _2 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _2 =  \frac{65.1 + 74.4 \cdots +67.3 }{15}[/tex]

      [tex]\= x _2 =  55.97 [/tex]

Generally the difference between the mean of the input temperature and that of the output temperature is

      [tex]d =  \= x_1 - \= x_2[/tex]

=>    [tex]d =  62.57 - 55.97 [/tex]

=>    [tex]d = 6.6[/tex]

Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as

     [tex]s_d  = \sqrt {\frac{1}{n-1 }  \sum [d_i - d]^2}[/tex]

=>   [tex]s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2  }{15-1} }[/tex]

=>   [tex]s_d = 1.732 [/tex]

The null hypothesis is  [tex]H_o  :  \mu_1 -\mu_2 =  6[/tex]

The alternative hypothesis is  [tex]H_a :  \mu _1 - \mu_2\ne 6[/tex]

Generally the test statistics is mathematically represented as

           [tex]t  =  \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }[/tex]

          [tex]t  =  \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }[/tex]

          [tex]t  =  1.342[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  2 *  P(t > 1.342)[/tex]

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of  df = n-1 =  15-1 = 14

       [tex]P(t >  1.342) =  t_{1.342 , 14} =  0.100478[/tex]

So    

     [tex]p-value  =  2 *   0.100478)[/tex]

     [tex]p-value  =  0.201[/tex]

From the values obtained we see that the [tex]p-value >  \alpha[/tex] hence the decision rule is  fail to reject the null hypothesis

The  conclusion is  

The cooling system changes the temperature of the water by 6 degrees.  

Answer:

0.973

Step-by-step explanation:

Given the following :

Population mean (μ) = 185

Standard deviation (σ) = 26.7

Sample mean (m) = 177.6

Sample size (n) = 48

P(m > 177.6)

Z = (m - μ) / σ/√n

Z = (177.6 - 185) / (26.7/√48)

Z = −1.920176

P( z > - 1.920) = 1 - p(z < - 1.92)

Using the z table :

1 - p(z < - 1.920) = 1 - 0.0274 = 0.9726

= 0.973

Problem 1

Answer: C) No solution

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

Explanation:

We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1

So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.

======================================================

Problem 2

Answer: C) Infinitely many solutions

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

Explanation:

The two equations are equivalent. You can prove as such by isolating 2y in the first equation.

5x = 8-2y

5x+2y = 8

2y = 8-5x

2y = -5x+8

-5x+8 = 2y

This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.

======================================================

Problem 3

Answer: Choice A) [tex]-6 < y \le 3[/tex]

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

Explanation:

The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.

The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range

The other part is [tex]y \le 3[/tex] since y = 3 is the when the highest point occurs.

So writing [tex]-6 < y \le 3[/tex] describes all possible y values of each (x,y) solution in the shaded region.

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

Answer:

x=8 but with the less than equal to sign

Step-by-step explanation:

you would add 6 to the -6 then add it to the 58. The 6 cancel so then add the 58 and the 6 when you do that you get 64 so now you are left with 8x with same sign and 64 now you would divide both side by 8 and you should get x less than or equal to 8

Answer: 8x -6 < 58

Step-by-step explanation:

8x -6 = -48 and -48 is less then 58 so it’s less than 58!

Answer:

280 cm

or 280cm^2

Step-by-step explanation:

Answer: 280 cm^3

Step-by-step explanation: Multiply 7 x 5 x 8 = 280

Answer: $33.26

Step-by-step explanation:

12 x 4= 48 (amount of money made from sales)

48 - $14.74 = $33.26

So she made $33.26 in profits

Answer:

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

          b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

Answer:

the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.

Step-by-step explanation:

We are given;

P(car is blue) = 1% = 0.01

P(car is green) = 99% = 0.99

P(witness said blue | car is blue) = 99% = 0.99

P(witness said blue | car is green) = 2% = 0.02

We will solve this by using Bayes’ formula for inverting conditional probabilities:

Thus;

P(car is blue | witness said blue) =

[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]

Plugging in the relevant values gives;

(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333

Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%

Answer:

22

Step-by-step explanation:

U should first multiply, then add, i.e.

4+18

=22

Answer:

4.23

Step-by-step explanation:

First, you need to write this mixed number into an improper fraction, which would be 423/100. Then all you need to do is divide 423 by 100 to get 4.23.

Answer:

A. 0.5 < x < 7.5

Step-by-step explanation:

Answer:

1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation:

Answer: 1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation: