Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.

Let c represent the weight of each box Caleb lifted.

Which expression represents the total number of pounds Sergio lifted?


120c

10(c−12)

12(c+10)

c + 10

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let X represent the IQ scores of adults.

It is provided that [tex]X\sim N(100,15^{2})[/tex].

Compute the probability of an adult having an IQ between 106 and 124 as follows:

[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]

                             [tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]

*Use a z-table.

Thus, the area of the shaded region is 0.2898.

Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.

Explanation:

The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.

However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.

Answer:

Step-by-step explanation:

Now I didnt solve the question but if you do a google search on how many metres in a kilometre, then divide km by metres

Answer:   10.911

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

2.5 mph

Step-by-step explanation:

Step-by-step explanation:

Given expressions:

1. x² + x

2. 5x² - 25x

3. x² - 16

4. x² + 4x + 4

5. x² - 5x + 6

   Problem: Factor each of the quadratic expression

Solution:

A quadratic expression is an expression whose highest power is two.

1. x² + x

     For this expression:

       x² + x

    Factorizing x since  it is a common term;

       x(x + 1)          

2. 5x² - 25x

    For this expression;

   Factorize 5x since it common to both of them;

      5x(x - 5)

3. x² - 16

    For this expression;

  Apply the differences of two squares;

     x² - 16

     x² - 4²;

    Note;  x² - y²  = (x-y)(x+y)

So, x² - 4² = (x-4)(x + 4)

4. x² + 4x + 4

   To solve this,

     Find two numbers whose product will be 4 and sum also 4;

  x² + 4x + 4 = x² + 2x + 2x + 4

                    = x(x + 2) + 2(x + 2)

                     = (x + 2)(x + 2)

5. x² - 5x + 6

    To factorize this expression, simply find two numbers whose sum is -5 and product is 6;

            x² - 5x + 6 = x² - 3x - 2x + 6

                              = x (x - 3) -2(x - 3)  

                              = (x -2)(x-3)

Answer:

C. strong negative correlation

Step-by-step explanation:

I would say the answer is C. a strong negative correlation.

Firstly, the graph is 'going downwards', meaning that the relationship is negative. This is because one variable decreases when the other is increased. I think it is a strong relationship because the trend is quite clear through the points and the slope is moderately steep.

Hope this helped!

Answer:

[tex]T = (20,25)[/tex]

Step-by-step explanation:

Given

[tex]S = (-5,0)[/tex]

[tex]M = (10,15)[/tex]

[tex]Ratio = 3:2[/tex]

Required

Determine the coordinate of T

Line division by ratio is calculated using:

[tex]M(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-5,0)[/tex]

[tex](x,y) = (10,15)[/tex]

[tex]m:n = 3:2[/tex]

So, we have:

[tex](10,15) = (\frac{3 * x_2 + 2 * -5}{3+2},\frac{3 * y_2 + 2 * 0}{3+2})[/tex]

[tex](10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5})[/tex]

Multiply through by 5

[tex]5 * (10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5}) * 5[/tex]

[tex](50,75) = (3x_2 -10,3y_2)[/tex]

By comparison:

[tex]3x_2 - 10 = 50[/tex]

[tex]3y_2 = 75[/tex]

[tex]3x_2 - 10 = 50[/tex]

[tex]3x_2 = 50 + 10[/tex]

[tex]3x_2 = 60[/tex]  --- Divide through by 3

[tex]x_2 = 20[/tex]

[tex]3y_2 = 75[/tex]

[tex]y_2 =75/3[/tex] --- Divide through by 3

[tex]y_2 =25[/tex]

Hence:

The coordinates of T is

[tex]T = (20,25)[/tex]

Answer:

use the point slope formula.. just memorize this formula.. you'll need to so often   y-y1 = m(x + x1)  and know it's name   There is another one that is similar in form and name

Step-by-step explanation:

M = 3

P1 =(x1, y1 ) = (2,4)

plug it into the point slope formula

y-4 = 3(x+2)

the second choice looks pretty good

Answer: 0.36363636

Step-by-step explanation:

Answer:

$8.40

Step-by-step explanation:

12x.30=3.6

12-3.6=$8.40

Answer:

8.4

Step-by-step explanation:

30% of 12 = 3.6

12 - 3.6 = 8.4

Answer:

18

Step-by-step explanation:

to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.

hope this helped :))

Answer:

y = 200

Step-by-step explanation:

Use the equation y = kx, where k is a constant.

Plug in the given x and y values, then solve for k:

y = kx

20 = k(8)

2.5 = k

Then, plug in k and the given x value, and find y:

y = 2.5x

y = 2.5(80)

y = 200

So, y = 200 when x = 80

Answer:

13.46

Step-by-step explanation:

The correct response is 13.46.

Since 9 is greater than 5, we replace the 5 in the hundreths place with a 6.

Answer:

LOL UGH THAT KEEPS HAPPENING TO ME

Step-by-step explanation:

Answer:

try reloading the page or check your internet

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

U only posted a picture of a half paragraph

Answer:

Antonio is wrong because 10% of 4.00 is .40 and if the price goes up then the price is $4.40 and since the price is going down by ten percent, ten percent if $4.40 is .44 and therefore the price is $3.96.

Answer:

243

Step-by-step explanation:

3*3*3*3*3=243

Answer:

243

Step-by-step explanation:

Answer:

0.8186

Step-by-step explanation:

The formula to use to solve this question is given as:

z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

P(z < (x-μ)/σ/√n)

(x-μ) = 1.6 watts

σ = 10 watts

n = 32 amplifiers

Hence,

P(z < 1.6/10/√32)

P(z < 1.6/1.767766953)

P(z < 0.9050966799)

Approximately to 2 decimal places)

P(z < 0.91)

= 0.81859

Rounded to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 1.6 watts is 0.8186.

Answer:

what are the options

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

the answer is B and C because

on the basis of option A

-2+6=4 (not equal to -8)

on the basis of option B

-4+-4 =-4-4=-8 (=-8)

on the basis of option C

6+-14=6-14=-8 (=-8)

on the basis of option D

11-3 =8 (not equal to -8)

on the basis of option E

5+3=8 (not equal to -8)

HOPE YOU HAVE UNDERSTOOD

Answer:

2x – 3 = 15

Step-by-step explanation:

2 * 9 = 18 - 3 = 15. correct

+7 = 8, no I don't really now what you mean by this...

81 - 3 = 6x? > (81 - 3 = 78) = (6 * 9 = 54), no, please tell me if I'm interpreting this right.

4 + 5x = 18 > 5 * 9 = 45 + 4 = 49, no

2 * 9 = 18, 24 - 18 = 6, no

3 * 9 = 27 + 2 = 29, no

Answer:

What are the options

Step-by-step explanation:

Answer:

-25x + 20

Step-by-step explanation:

I am going to assume by the lack of instructions, you wanted this simplified. We need to start by combining the -7 into the two terms in the paranthesis:

27 -4x -7 -21x

We can now combine like terms to simplify:

-25x + 20

27-4x+-7(1+3x)

27 - 4x - 7(1+3x)

27 - 4x - 7 - 21x

-25x + 20

Answer:

d

Step-by-step explanation:

Answer:

3.87 that should be the answer

Answer: 6

Step-by-step explanation: By checking the factors of both numbers, you see that 6 is their greatest common factor.

30: 1, 2, 3, 5, 6, 10, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

Hope this helps!

Answer:

2nd choice

Step-by-step explanation:

The slope is 2/3 (rise/run) and the y-intercept is -2

When you put those values into f(x) = mx + b, you get f(x) = 2/3x - 2