Simplify the problem 4{28-[10+(3+1)×2]}

Answer:

4 pounds a month

Step-by-step explanation:

is that what you're looking for

The average weight lost per month is 5 pounds.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.

Total weight lost = 24 + 16 = 40 pounds

Total time taken to lose the weight = 6 + 2 = 8 months

Average weight lost = Total weight / Total time

                                  = 40 / 8

                                  = 5

Hence there is a weight of 5 pounds lost per month.

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Answer:

Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.

Step-by-step explanation:

Central theorem:

Statement:

If x would be any distribution of random sample 30 more wide with either a mean = [tex]\mu[/tex]

standard deviation = [tex]\sigma[/tex]

After which [tex]\bar{x}}[/tex] would have had a roughly normal distribution which

mean = [tex]\mu[/tex] and

default variance = [tex]\frac{\sigma}{\sqrt{n}}[/tex]

Answer:

Bottom left

Step-by-step explanation:

Function: each x only has one y, and this is the only graph that fits the description

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

Answer:

7

Step-by-step explanation:

2 is thousands so 7 must be ten thousand

Answer:

36 feet.

Step-by-step explanation:

2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.

Answer:

It would be C and E

Step-by-step explanation:

I know I'm extremely late but for anyone else who needs to know here you go :)

Answer:

1/2, 2/4, 4/8

Step-by-step explanation:

because they are all one half then they are equal

Answer:

1. Dracula Answer: D) 12.5%

2. Jack-O-Lantern Answer: D) 40%

Step-by-step explanation:

1. 54 - 48 = 6

  6/48 = 0.125 x 100 = 12.5%

2. $20 - $12 = 8

    8/20 = 0.4 x 100 = 40%

Answer:

2

Step-by-step explanation:

1/2*4 = 2

hope this helps

Answer :1,760 1,760 1,760 1,760 1,760

Answer:

The distance between Kevin's school and his house is 9,152 yards

Step-by-step explanation:

Units Conversion

Some common length units are meters, centimeters, inches, feet, miles, kilometers, and yards.

There are fixed numbers to convert one into another. For example:

1 mile = 1,760 yards

Since Kevin's school is 5.2 miles away from his house, that distance converted to yards is:

5.2 * 1,760 = 9,152

The distance between Kevin's school and his house is 9,152 yards

Answer:

x+y = 39 and 14y+19=666

Step-by-step explanation:

Let x is the no of tickets for the weekend and y for the weekday.

The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week.

Equation (1) should be :

x+y = 39 (because a rickshaw company counted 39 ticket receipts last week)

Equation (b) should be :

7y+9.5=333

Multiplying both sides by 2.

14y+19=666

Hence, the two equations that represent the situation are :

x+y = 39 and 14y+19=666

Answer: y = -x + 39

              14y = -19x + 666

Step-by-step explanation:

There are two relationships given in the question. These are the number of tickets sold and the cost of the tickets sold. The total number of weekend and weekday ticket receipts is 39. This gives the equation x+y=39. Solving this equation for y gives y=−x+39. Now, we write an equation for the cost of the tickets sold. A weekday ticket costs $7, a weekend ticket costs $9.50, and the total money collected was $333. This gives the equation 7y+9.5x=333. Multiplying both sides by 2 to clear the decimal gives 14y+19x=666. This is equivalent to 14y=−19x+666.

Answer:

Step-by-step explanation:

Actually its

Andy spends $ 13.20

Emily will spend 23.40

HOPE IT HELPS!!!!!!!!!!

Answer:

0.61

Step-by-step explanation:

probability is out of 100 so if you do 100-39

you get 61

Answer:

I think 2n-8 because you are taking 8 away from 2 times a number

Step-by-step explanation:

Answer and Step-by-step explanation:

Part A: Exponential equation is the "opposite" of logarithmic equation, so:

[tex]y=log_{b}m[/tex]

[tex]b^{y}=m[/tex]

Part B: Using log with base c:

[tex]log_{c}b^{y}=log_{c}m[/tex]

Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:

[tex]ylog_{c}b=log_{c}m[/tex]

Solving for y:

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform

[tex]y=log_{b}m[/tex]

into

[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]

Part D: [tex](log_{3}z)(log_{z}27)[/tex]

Change of base will be:

[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]

[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]

Solving:

[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]

[tex](log_{3}z)(log_{z}27)[/tex] = 3

Part E: [tex]log_{7}300[/tex]

Using change of base:

[tex]log_{7}300=\frac{log300}{log7}[/tex]

[tex]log_{7}300=\frac{2.48}{0.85}[/tex]

[tex]log_{7}300[/tex] ≈ 3

Answer:

195

Step-by-step explanation:

Hope This Helps!

Answer:

1,2,3,4,6,9,12,18, 36

Step-by-step explanation:

18 is the GCF of 36.

You can't multiply any other number with its 2 to be 36.

So 18 x 2 =36

Answer:

Step-by-step explanation:

It's D the reasoning here is just look at the points at the graph and their x y coordinate

sams cola 0-0 T-T :-(

Answer:

A) 8 feet.

B) 72 feet

Step-by-step explanation:

We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.

Part A)

We want to find the initial height of the rocket when it was shot.

At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.

Therefore, to find the initial height, we will substitute 0 into our function. This yields:

[tex]f(0)=-16(0)^2+64(0)+8[/tex]

Evaluate:

[tex]f(0)=8[/tex]

Therefore, the initial height was 8 feet.

Part B)

Notice that our function is a quadratic.

Therefore, the maximum height will be given by the vertex of our quadratic.

To find the vertex, we use:

[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]

Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]

Therefore, a=-16, b=64, and c=8.

Substitute them into the vertex formula to find the x-coordinate:

[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]

Now, to find the maximum height, substitute 2 back into our function f(x):

[tex]f(2)=-16(2)^2+64(2)+8[/tex]

Evaluate:

[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]

Therefore, the rocket reaches a maximum height of 72 feet.

Answer: x - y = 5

Step-by-step explanation: since it’s squared you do inverse operation and square root of 25 is five and square root of x squared and why squared is x

Answer:

4/5= 0.8

2/3= 0.66666666667

Step-by-step explanation:

Answer:

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Step-by-step explanation:

From the question we are told that

   The sample size is n =  16  

   The population proportion =  0.5

     The number that of students that picked out the teachers dog is k  =  14

Generally the sample proportion is mathematically represented as

       [tex]\^ p  =\frac{k}{n}[/tex]

=>     [tex]\^ p  =\frac{14}{16}[/tex]

=>     [tex]\^ p  = 0.875 [/tex]

The null hypothesis is  [tex]H_o :  p = 0.5[/tex]

The null hypothesis is  [tex]H_o :  p >  0.5[/tex]

Generally the test statistics is mathematically represented as

   [tex]z  =  \frac{\^  p  -  p }{\sqrt{ \frac{p(1- p )}{n} }  }[/tex]

    [tex]z  =  \frac{0.875   -  0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} }  }[/tex]

    [tex]z  = 3[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  P(Z > 3)[/tex]

From the z table the probability of  Z>3  is mathematically represented as

      [tex]P(Z > 3) =  0.0013499[/tex]

So

   [tex]p-value  =  0.0013499 [/tex]

Let  assume the level of significance is  [tex]\alpha = 0. 05[/tex]

Generally from the value  obtained we see that [tex]p-value  <  \alpha[/tex] Hence  

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Answer:

x=64

Step-by-step explanation:

The answer to the equation is [tex]x=-\frac{25}{3}[/tex]

First, you must cross multiply the fractions.

[tex]10*-\frac{5}{2} =x*3[/tex]

[tex]-25=3x[/tex]

Then, you must flip the equation.

[tex]3x=-25[/tex]

Finally, divide 3 on each side

[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]

[tex]x=-\frac{25}{3}[/tex]

Answer:

The answer is below

Step-by-step explanation:

A) Given that the area of the square a square foot = 1 ft², the width = 1 foot

Area = length × width

1 ft² = length × 1 ft

Length = 1 ft²/ 1 ft = 1 ft

B) Given that length of wrapping paper = 1 yd, width = 1 yd.

The area of the paper = length × width = 1 yd × 1 yd = 1 yd²

C) Given that the area of the wetland is a square mile = 1 mile², the length = 1 mile

Area = length × width

1 mile² = 1 mile × width

width = 1 mile²/ 1 mile = 1 mile

D) Given that the area of the square a square meter = 1 m², the length = 1 meter

Area = length × width

1 m² = 1 m × width

width = 1 m²/ 1 m = 1 m