Peter's teacher says he may have his report card percentage based on either the mean or the median and he can
drop one test score if he chooses.
84%, 71%, 64%, 90%, 75%, 44%, 98%
Which measure of center should Peter choose so he can have the highest percentage possible?
O Peter should choose the mean after dropping one test score.
Peter should choose the mean without dropping one test score.
O Peter should choose the median after dropping one test score.
O Peter should choose the median without dropping one test score.

Answer:

Im 47 and i have no idea

Step-by-step explanation:

thanks for 5 points

Answer:

b

Step-by-step explanation:

because air is cooler in the mountains so it'll be cold not humid

Answer:

The minimum sample size required is 1068.

Step-by-step explanation:

The complete question is:

A researcher wishes to​ estimate, with 95​%  confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3​%  of the population proportion.

​No preliminary estimate is available. Find the minimum sample size needed.

Solution:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]MOE=0.03\\\text{Confidence level}=95\%[/tex]

Assume that the sample proportion is 50%.

The critical value of z is, 1.96.

Compute the minimum sample size required as follows:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\cdot \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\times\sqrt{0.50(1-0.50)}}{0.03}]^{2}\\\\=1067.1111\\\\\approx 1068[/tex]

Thus, the minimum sample size required is 1068.

There are 4 quarters in the box of coins.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A box of coins contains nickels, dimes and quarters.

The value of the coins is $4.00.

And, There were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50.

Now,

Let number of nickels in a box = n

Number of dimes = d

Number of quarters = q

Here, The value of the coins is $4.00.

Hence, We get;

⇒ 5n + 10d + 25q = 400 cents   .... (i)

And, There were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50.

Hence, we get;

⇒ 3(5n) + 5d + 25(q+6) = 550 cents

⇒ 15n + 5d + 25q + 150 = 500

⇒ 15n + 5d + 25q = 350   .. (ii)

After solving equation (i) and (ii), we get;

Number of nickels in a box = n = 12

Number of dimes = d = 24

Number of quarters = q = 4

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9514 1404 393

Answer:

  range: 5 ≤ f(x) ≤ 205

Step-by-step explanation:

You can put the extreme values of x in this linear function to see its range:

  f(0) = 4·0 +5 = 5

  f(50) = 4·50 +5 = 205

The range is 5 ≤ f(x) ≤ 205.

Answer:

x<2

put a circle (unsahded) on number 2 and a line on all the sides to the left of 2 , like through 1, 0 , -1 ....

Step-by-step explanation:

4x<8

divide by 4

x<2

Answer:

The answer would be B.

Step-by-step explanation:

This is because the total cost is $30 so it can't be c or d. A shows that Annie can only have at least $30. this means that B is the only option left.

If this answer is wrong, I deeply apoligize. I hope you have a great day.

Answer:

24.2%

Step-by-step explanation:

If we take 100 for example, an 8% increase would make it 108, and a further 15% increase would make it 124.2 and 124.2 is 124.2% of 100 and if we minus the initial value of 100% it would be 24.2%

Answer:

x=1/2

Step-by-step explanation:

98+29x=96+33x

Step 1: Simplify both sides of the equation.

29x+98=33x+96

Step 2: Subtract 33x from both sides.

29x+98−33x=33x+96−33x

−4x+98=96

Step 3: Subtract 98 from both sides.

−4x+98−98=96−98

−4x=−2

Step 4: Divide both sides by -4.

−4x

−4

=

−2/−4

x=1/2

Answer:

96 degrees

Step-by-step explanation:

The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.

Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:

x = 144-48

x = 96

Answer:

I attached a photo of the answer

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

Answer:

5 hours

Step-by-step explanation:

4.)    top row: 1,   2,    4,     6,      8,    10

bottom row: 25, 50, 100, 150, 200, 250

5.)    top row: 1,    2,     4,      6,      8,     10

bottom row: 50, 100, 200, 300, 400, 500

Answer: 1/21

[tex]\frac{2}{7}:6=\frac{2}{7}.\frac{1}{6}=\frac{2}{42}=\frac{1}{21}[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator answers the questions easily.

At t=0, f(0) = 210 . . . degrees F

f(t) = 80 at about t=109.96, so it takes about 110 minutes to reach 80 °F.

__\

Working "by hand"

The exponential term is 1 at t=0, so the temperature then is ...

  f(0) = 70 +140·1 = 210 . . . degrees F

The temperature of the cake from the oven is 210 °F.

__

The time when the temperature is 80 °F will be ...

  80 = 70 +140e^(-.024t)

  10 = 140e^(-.024t)

  10/140 = e^(-.024t)

  ln(1/14) = -0.024t

  t = ln(1/14)/-0.024 ≈ 109.9607

  t ≈ 110 when f(t) = 80

It takes about 110 minutes for the cake to cool to 80 °F.

Answer:

9y= -9-2x

y=-(2/9)x-1

Step-by-step explanation:

Answer:

theirs many  1, 3, 5, 7, or 9.

Step-by-step explanation:

Answer:

1, 3, 5, 7, 9, 11

Step-by-step explanation:

I Hope That This Helps! :)

See attachment for math work and answer.

Answer:

Step-by-step explanation:

1, 5, 25 are the factor pairs and the multiples are 50.

Factor pairs of 25 :

1 , 5, 25

Given ,

Factors of 25 .

Now,

Factor is a number that divides the given number completely and remainder will be zero .

So,

25 = 5*5

25 = 5²

And,

1 and the number itself is an universal factor of any number .

Thus the factors of 25 are:

1, 5 , 25 .

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Answer:

b is the answer

Step-by-step explanation:

4 is hours and 60 m

Answer:

The answer is B

Step-by-step explanation:

"The point shows (4,60) shows that it takes 4 hours to install 60m of fencing"

I did this on khan too

hope this helps :)

Answer:

1 & 5

4&8

3& 7

Step-by-step explanation:

Answer: 4-6x^2

Step-by-step explanation:

f•g = f(g(x))

f(g(x)) = 4-2(3x^2) = 4-6x^2

Answer: c b< 3 2/15

Answer:

False

Step-by-step explanation:

Positive in the X-axis is always to the right and negative is left and in the Y-axis positive is up and negative is down  

Answer:

Interpolation refers to using the data in order to predict data within the dataset. Extrapolation is the use of the data set to predict beyond the data set.

Step-by-step explanation:

Extrapolation and interpolation are both used to estimate hypothetical values for a variable based on other observations. There are a variety of interpolation and extrapolation methods based on the overall trend that is observed in the data.