In a class of 35 students, 5 are freshmen, 8 are sophomores, 9 are juniors and 13 are seniors. If 1 student is randomly selected, what is the probability the student is a junior

For the first box, you would multiply.

For the second box, you would multiply both sides by 3/2.

For the third box, the answer is 18.

\(\frac{2}{3}x=12\)

\((\frac{3}{2} )*\frac{2}{3}x=12*(\frac{3}{2})\)

\(x = 18\)

If you have any further questions, please reach out to me :)

Answer:

multiply both sides by 3/2. The correct answer is 18

Step-by-step explanation:

Answer:

For y=x-3. (0,2) the equation is y=x+2

For y=3-x. (0,2) the equation is y=2-x

For y=3x+1. (0,3) the equation is y=3x+3

For y=-1/2x+4. (0,1) the equation is y=-1/2x+1

Step-by-step explanation:

How I got my answers:

For y=x-3: the gradient is 1 because we do not have anything before x.

For the points given for example (0,2) x is zero  and y-intercept is 2. same for the rest of the points.

Now you can write your equation in the form y=mx+b

where m is your gradient, and b is the y point. So you say y=1x+2 for the first one. Do the same for the rest. Remember 1x is the same as x so you can leave out 1.

You can comment if you did not understand my explanation because this explained how you can do it.

Answer:

D

Step-by-step explanation:

Step 1: Solve

We use the vertex form y=a(x-h)²+k

h is the x coordinate of the vertex

y is the y coordinate of the vertex

Substitute them in to get

y = (x-1)² -5

The percent decrease in the travel time after getting a new job is 36%.

Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".

First, determine the decrease in travel time after getting a new job by subtracting the new travel time of 30.72 minutes from the initial travel time of 48 minutes.

decrease in time = 48 - 30.72

decrease in time = 17.28

Then, determine the percent decrease by dividing the decrease in time of 17.28 minutes by the initial travel time of 48 minutes and multiply by 100.

percent decrease = (17.28 / 48) x 100

percent decrease = 36%

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Answer:

1.360 or 1.36 .....................

Answer:

(-2,4) is the point of intersection according to the graph

Solution

The intercept is only on y axis (0,-5)

The vertex (-1, -2)

The axis of symmetry is x = -1

The Domain is all real numbers

The range is

Answer:

That is true not false dont get confused

Answer:

-7,-6,-5 are the values when x=0,1,2

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

y =x - 7

Substitute x = 0 and find the y-value

       y = 0 - 7

      y = -7

(0,-7)

Substitute x = 1,

    y = 1 - 7

    y = - 6

(1,-6)

Substitute x = 2,

        y = 2 - 7

       y = -5

(2,-5)

estimated sum-114, actual sum-112.97

Step-by-step explanation:

76.6-77

25.5-26

10.87-11

77+26+11=114

76.6+25.5+10.87=112.97

Answer:

267.64 students

Step-by-step explanation:

Let the total number of students that took the survey be represented as x

This number represented 68% of the number of students who took the survey.

The results showed that 182 students rated pizza as their favorite food.

Therefore:

68% × x = 182 Students

68/100 × x = 182

68x/100 = 182

Cross Multiply

68x = 182 × 100

x = 182 × 100/68

x= 267.64705882 students

Therefore, the total number of students that took the survey is Approximately 267. 64 students

Answer:

no

Step-by-step explanation:5/6 78.

Answer: k = √27-i

Step-by-step explanation:

Step-by-step explanation:

cosine of B = adjacent/hypot

to find hypotenuse use a^2+b^2 = c^2

which is 5 (it's a 3,4,5 triangle so it's easy)

Cosine B= 4/5

Answer:

\(\boxed{\sf Option \ 1}\)

Step-by-step explanation:

The profit is revenue (R ) - costs (C ).

Subtract the expression of costs (C ) from revenue (R ).

\(10x-0.01x^2-(2x+100)\)

Distribute negative sign.

\(10x-0.01x^2-2x-100\)

Combine like terms.

\(8x-0.01x^2-100\)

The first option has a positive 100, which is wrong.

The rest options are right, when we expand brackets the result is same.

Step-by-step explanation:

A confounding variable is a variable that affects the independent and dependent variables and may cause a false association between them. Therefore, in this case:

A. Giving males a different sports drink than females could be a confounding variable since gender may affect their performance.

C. The timing of the sports drink consumption could also be a confounding variable since it may affect the athlete's performance.

D. Giving different brands of sports drinks to the athletes can be a confounding variable since the different formulas in the sports drinks might affect the results.

Therefore, options A, C, and D represent confounding variables. Option B does not represent a confounding variable since allowing athletes to choose their preferred drink from a cooler is a valid way to ensure that each athlete is comfortable with their sports drink.

Answer:

Large Jar : £1.54÷440g= 0.0035

Small Jar : £1.26÷340= 0.0037058

0.0035<0.0037058

Large Jar is the best value.

1. 14/3

2. 9

4. 5

5. 15

(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)

Answer: 6 <x

Step-by-step explanation:

Answer:

.38, 40%, .59, 6/8

Step-by-step explanation:

convert all to decimal and then order

.38=.38

40%=.40

.59=.59

6/8=.75

The correct option is the second one, the value of x is 8.

We can see that the two horizontal lines are parallel, thus, the two angles defined are alternate vertical angles.

Then these ones have the same measure, so we can write the linear equation:

11 + 7x = 67

Solving this for x, we will get:

11 + 7x = 67

7x = 67 - 11

7x = 56

x = 56/7

x = 8

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Answer:

.

Step-by-step explanation:

DC = 16 and

DB = 30 so

CB = 14

DB = 30 and

EB = 49 so

EB = 19

Answer:

x= -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain  the variable.

Answer:

12

Step-by-step explanation:

multiply 4/5 and 180 then take the square root

sqrt(4/5*180) = sqrt(144) = 12

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

34.71%

Step-by-step explanation:

1112-100 percent

386-x percent

x=386*100/1112≈34.71

The percentage of students living with their parents is 34.44%. The correct option is B.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.

The percentage of the students who live with their parents will be calculated as,

Percentage = ( 386 / 1120 ) x 100

Percentage = 0.3471 x 100

Percentage = 34.71%

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Answer:

w

Step-by-step explanation:

The amount of water they need to bring depends on how long they will be hiking.

To determine whether the series converges or diverges, we need to analyze the given series. The series is:

Σ (5^n / (4n - 2)), from n = 1 to infinity.

To check for convergence, we can apply the Ratio Test, which involves finding the limit of the ratio between consecutive terms. Let's denote the term a_n as (5^n / (4n - 2)). Then, we'll compute the limit as n approaches infinity:

lim (n→∞) (a_(n+1) / a_n) = lim (n→∞) ((5^(n+1) / (4(n+1) - 2)) / (5^n / (4n - 2)))

Simplifying this expression, we get:

lim (n→∞) (5^(n+1) / 5^n) * ((4n - 2) / (4(n+1) - 2))

The first part of the limit simplifies to:

lim (n→∞) 5 = 5

The second part of the limit becomes:

lim (n→∞) ((4n - 2) / (4n + 2)) = 1

Multiplying both limits, we get:

5 * 1 = 5

Since the limit is greater than 1, the Ratio Test indicates that the series diverges.

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Answer:

Step-by-step explanation: