MATHEMATICS HIGH SCHOOL

The number of hours a group of contestants spent preparing for a quiz show are listed below. What is a frequency table that represents the data? 60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61C

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given in the number of hours a group of contestants spent preparing for a quiz

The list shows as follows:

60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61

In ascending order this becomes

x 15 25 30 32 36 45 48 56 60 61 65 67 75 80 86 90

F 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2

Thus we have mode =90

All other entries have frequency 1 except 90

Answer 2

Answer: 60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61

Hours Frequency
0 - 9 0
10-19 15 1
20-29 25 1
30-39 30, 36, 32 3
40-49 45, 48 2
50-59 56 1
60-69 60, 67, 65, 61 4
70-79 75 1
80-89 86, 80 2
90-99 90, 90 2

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What figure of speech is illustrated in this sentence The house was a whirlwind in the days before the weddding. metaphor personification simile

Answers

the answer is metaphor.
Metaphor
a figure of speech in which a word or phrase is applied to an object or action to which it is not literally applicable.

The answer is: metaphor.

How do I solve this?The Sugar Sweet Company is going to transport its sugar to market. It will cost $4900
to rent trucks, and it will cost an additional $175 for each ton of sugar transported. Let
C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.

Answers

C = 4900 + 175S

The graph will cross the y-axis at 4900 and show a slope of 175/1 . Good luck graphing. If you choose the right scale, the graph will be easier. Increment by by 500 on the yaxis and 25 on the x-axis.

What is the equation of a parabola with vertex (0,0) and focus (0,4)?Draw its graph on the grid

Answers

focus of a parabola: $4p(y-k)=(x-h)^2$ where vertex (h,k) p is the distance from vertex to focus
$4*4(y-0)=(x-0)^2 \n 16y=x^2 \n y= (1)/(16)x^2$

The expression below is the factorization of what trinomial? (7x + 5)(2x - 3)

Answers

Answer:

The trinomial is $14x^(2)-11x - 15$

Step-by-step explanation:

We need to find the trinomial which has the factors $(7x + 5)(2x - 3)$

To find the trinomial , we need to multiply the factors

$(7x + 5)(2x - 3)$

multiply term wise,

$14x^(2)-21x +10x - 15$

$14x^(2)-11x - 15$

You can simply expand the factorised form out:
y = 14x² - 21x + 10x - 15
y = 14x² -11x -15

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)

Answers

For this case we have the following functions:
$f (x) = 4 - x ^ 2 g (x) = 6x$
The first thing we must do is subtract both functions.
We have then:
$(g - f) (x) = g (x) - f (x)$
Substituting values we have:
$(g - f) (x) = (6x) - (4 - x ^ 2)$
Rewriting we have:
$(g - f) (x) = x ^ 2 + 6x - 4$
Then, we evaluate the function for x = 3.
We have then:
$(g - f) (3) = 3 ^ 2 + 6 (3) - 4$
Rewriting:
$(g - f) (3) = 9 + 18 - 4 (g - f) (3) = 23$
Answer:
An expression that is equivalent to (g - f) (3) is:
$(g - f) (3) = 23$

Answer:

$(g-f)(3)=23$

Step-by-step explanation:

Given : $f(x) = 4 -x^2$ and $g(x) = 6x$

To find : The value of $(g -f)(3)$

Solution :

First we find the value of (g-f)

$(g-f)(x)= g(x)-f(x)$

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

$(g-f)(x)=6x-4+x^2$

Now, put the value of x=3

$(g-f)(3)=6(3)-4+(3)^2$

$(g-f)(3)=18-4+9$

$(g-f)(3)=23$

Therefore, $(g-f)(3)=23$

In a survey of 150 students, 90 students were taking algebra and 30 were taking biology. What is the least number of students who could have been taking both courses? What is the greatest number of students who could be taking both courses? What is the greatest number of students who could have been taking neither course?

Answers

The least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

Given that, there are a total of 150 students out of which 90 were taking algebra and 30 were taking biology.

The remaining students are:
150 - 90 - 30

= 30

Now, the remaining 30 students may take both subjects or neither.

Therefore, the least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

To learn more about subtraction, click here:

brainly.com/question/2346316

#SPJ2

30 students could of been taking both courses and 60 with no course

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Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over time. She observed that the population loses \dfrac{1}{18} 18 1 start fraction, 1, divided by, 18, end fraction of its size every 222 months. The population of foxes can be modeled by a function, PPP, which depends on the amount of time, ttt (in months). When Alyssa began the study, she observed that there were 185{,}000185,000185, comma, 000 foxes in the Arctic circle. Write a function that models the population of the foxes ttt months since the beginning of Alyssa's study.

HELPP PLS AND THANK YOU