Nadia surveyed 80 students at her school and found that 0.55 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?A. 12
B. 32
C. 44
D. 48

Answers

Answer 1
Answer: Nadia surveyed 80 students at her school and found  the following results:
=> 0.55 of the students she surveyed said their favorite class is math.
=> 15% of the students she surveyed reported that their favorite class is science.
Let's find out many more students in the survey prefer math over science?
MATH
=> 80 students * 0.55  = 44 students love math.
SCIENCE
=> 80 * .15 = 12 students love science
=> 44 - 12 = 32 students

B. 32

Answer 2
Answer:

It would be Choice "B"


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Select all the correct answers.Identify all the lines on the graph with unit rates that are less than 2 and greater than the unit rate of the relationship in the table.
line 1
line 2
line 3
line 4
line 5

Answers

Answer:

recall that the slope, namely the average unit rate of change, is rise/run.

so, what's the slope for the function in the table?  well, we can simply pick any two points and get it, or just use the first point rise of 8 and a run of 7, gives us a slope of 8/7 or 1⅐.

now, let's take a peek at the lines, they all have a "rise" of 6, notice they're all lying on the y = 6 line horizontally.

1)

rise = 6, run = 2, slope 6/2 = 3.

well, 3 is more than 2, so no that one.

2)

rise = 6, run = 3, slope = 6/3 = 2.

well 2 = 2, so no that one either.

3)

rise = 6, run = 4, slope 6/4 = 3/2.

3/2 is actually larger than 8/7 and less than 2, you can check. so ✔

4)

rise = 6, run = 5, slope = 6/5.

6/5 or 1⅕ is more than 8/7, and is clearly less than 2, so ✔

5)

rise = 6, run = 6, slope = 6/6 = 1.

well, needless to say 1 is less than 2 but is less than 8/7, recall 8/7 is actually 1⅐.

Answer:

line 3 and 4

Step-by-step explanation:

What is p divided by 6

Answers

Answer: p/6

p divided by 6 is p/6


The expression p/6 can't be simplified anymore unless you know the value of p
p divided by 6 cant work because you don't know the the p is p so  the answer would be p/6

The line L is a tangent to the curve with equation y= 4x^2 +1 . The line L cuts the y axis at (0,8) and has a positive gradient. Find the equation of L in the form y = mx + c.y= 4x^(2) +1

Answers

Final answer:

To find the equation of a line tangent to the given curve, we need to find the derivative of the curve at the point of tangency and substitute the x-coordinate of the point of tangency to find the slope. The equation of the tangent line with 0 slope and y-intercept of 8 is y = 8.

Explanation:

To find the equation of a line tangent to a curve, we need to find the derivative of the curve at the point of tangency.

The given curve is y = 4x² + 1 (equation 1).

First, find the derivative of equation 1, which gives us dy/dx = 8x (equation 2).

Next, substitute the x-coordinate of the point of tangency into equation 2 to find the slope of the tangent line.

Since the line cuts the y-axis at (0,8), the x-coordinate of the point of tangency is 0.

Substituting x=0 into equation 2, we get the slope of the tangent line as m = 8(0) = 0.

The equation of a line in the form y = mx + c, where m is the slope and c is the y-intercept.

Since the slope of the tangent line is 0, the equation of the tangent line is y = 0x + c. And since the line cuts the y-axis at (0,8), the y-intercept is 8.

Therefore, the equation of the tangent line is y = 8.

Learn more about Equation of a tangent line here:

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A generic point on the graph of the curve has coordinates

(x, 4x^2+1)

The derivative gives us the slope of the tangent line at a given point:

f(x) = 4x^2+1 \implies f'(x) = 8x

Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through (k, 4k^2+1) and have slope 8k

So, we can write its equation using the point-slope formula: a line with slope m passing through (x_0, y_0) has equation

y-y_0 = m(x-x_0)

In this case, (x_0, y_0)=(k, 4k^2+1) and m=8k, so the equation becomes

y-4k^2-1 = 8k(x-k)

We can rewrite the equation as follows:

y-4k^2-1 = 8k(x-k) \iff y = 8kx - 8k^2+4k^2+1 \iff y = 8kx-4k^2+1

We know that this function must give 0 when evaluated at x=0:

f(x) = 8kx-4k^2+1 \implies f(0) = -4k^2+1 = 8 \iff -4k^2 = 7 \iff k^2 = -(7)/(4)

This equation has no real solution, so the problem looks impossible.

Mark correctly drew a heptagon on the board. How many interior angles does Mark's heptagon have?

Answers

There are 7 interior angles

For the set {1, 1, 2, 4, 5, 6, 7, 8, 10,} which would NOT be affected if another value of 10 was included?Question 6 options:

A)range


B)mean


C)median


D)mode

Answers

The range will not beaffected. Then the correct option is A.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

For the set {1, 1, 2, 4, 5, 6, 7, 8, 10}.

The range of the data set will be

Range = 10 - 1 = 9

If another value of 10 was included.

Then the new set will be {1, 1, 2, 4, 5, 6, 7, 8, 10, 10}.

The range of the new data set will be

Range = 10 - 1 = 9

Then the range will not beaffected.

The range of the data setwill be 9. Because the range is the difference between the larger number and to the least number.

Then the correct option is A.

More about the statistics link is given below.

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Answer:

A) Range

Step-by-step explanation:

The original mean would be 4.889. But when you add another 10 to the set, the mean becomes 5.400.

The original mode would be 1, because there are two 1's and only one of every other number. But when adding another 10 the the original set, you end up with two 10's so now the mode is 1 and 10.

The median changes from 5 to 5.5

So the answer has to be range.

Kevin has 3 bags of apples weighing a total of 22 1/2 pounds.Two of the bags weigh 6 3/8 pounds and 3 1/4 pounds.How much does the third bag weigh?

Answers

3 bags total 22 and 1/2
bag1+bag2+bag3=22 and 1/2
two of the bags weight 6 and 3/8 and 3 and 1/4 so just assign them random bags
bag1=6 and 3/8
bag2=3 and 1/4
subsitute

6 and 3/8+3 and 1/4+bag3=22 and 1/2
we have to add them by making the bottom number same

 6 and 3/8+3 and 1/4
common one is 8
6 and 3/8+3 and 2/8
6+3/8+3+2/8
9+5/8


9 and 5/8+bbag3=22 and 1/2
subtract 9 and 5/8 from both sides
bag3=22 and 1/2-9 and 5/8
bag3=22+1/2-9-5/8
bag3=22+4/8-9-5/8
bag3=21+8/8+4/8-9-5/8
bag3=21+12/8-9-5/8
bag3=21-9+12/8-5/8
bag3=12+7/8
bag3=12 and 7/8

answe ris 12 and 7/8 pounds



First, you change 6 3/8 and 3 1/4 to a common denminator. 8

6 3/8= 6 3/8
3 1/4= 3 2/8 (x2)

Then add those.

6 3/8+ 3 2/8 = 9 5/8

Then subtract 22 1/2 and 9 5/8. (Common denominator)

22 1/2= 22 4/8 (x4)
9 5/8= 9 5/8

the 3rd bag is 12 7/8 lbs.

You can also add each bag (lbs) to see if it gets to 22 1/2
Hope this helps!