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Answer:

She needs a grade of 71 on her next text.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Tammy has scored 82, 78, and 93 on her previous three tests.

Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.

There are 4 tests.

What score does she need on her next test so that her average (mean) is 81?

We have to find x when the mean is 81. So

[tex]\frac{82 + 78 + 93 + x}{4} = 81[/tex]

[tex]253 + x = 324[/tex]

[tex]x = 324 - 253[/tex]

[tex]x = 71[/tex]

She needs a grade of 71 on her next text.

Answer:

[tex]f(x) =(x-1)(x-2)(x-3)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^3-6x^2+11x-6[/tex]

Required

The factored form

[tex]f(x) = x^3-6x^2+11x-6[/tex]

Split

[tex]f(x) =x^3 -3x^2- 3x^2 +2x +9x -6[/tex]

Rearrange as:

[tex]f(x) = x^3 -3x^2 +2x - 3x^2+9x -6[/tex]

Factorize

[tex]f(x) = x(x^2 - 3x + 2) - 3(x^2 - 3x + 2)[/tex]

Factor out [tex]x^2 - 3x + 2[/tex]

[tex]f(x) = (x^2 - 3x + 2)(x - 3)[/tex]

Expand

[tex]f(x) = (x^2 - 2x - x + 2)(x - 3)[/tex]

Factorize

[tex]f(x) = (x(x - 2) - 1(x - 2))(x - 3)[/tex]

Factor out [tex]x - 2[/tex]

[tex]f(x) = (x - 1) (x - 2)(x - 3)[/tex]

Answer:

4/5 of a fruit bar

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

Answer:

The 2nd one (the one you chose) is right thats the answer

Step-by-step explanation:

Answer:

B. -0.5

Step-by-step explanation:

I calculated it logically

Step-by-step explanation:

Thanks, so cube root of 512 is 8 and reciprocal of 0.4 is 2.5 then:

8 : 2.5 / divide both by 2.5 to get:

3.2 : 1 that's my answer right?

The correct form of the ratio of cube root of 512: reciprocal of 0.4 is 3.2:1

It is a number y such that y to the power 3 is equal to x.

We have to find the ratio of cube root of 512 and the reciprocal of 0.4  which will be as follows

cube root of 512:  reciprocal of 0.4

8: 1/0.4

8=2.5

dividing by 2.5

3.2 : 1

Hence the ratio will be 3.2 :1 of cube root of 512 and the reciprocal of 0.4

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Answer:

Formula for to find out the surface area of a cylinder = 2πrh+2πr^2

As the radius of the cylinder (4/2) cm = 2cm

Then the surface area of the cylinder

= 2πrh + 2πr^2

=( 2×22/7×2×6 + 2×22/7 × 2^2) cm^2

= (528/7 + 176/7) cm^2

= 704/7 cm^2

=100.571428571 cm^2

=15.58860260571021 in^2 (ans)

This the answer

Answer:

Its the first one

Step-by-step explanation:

It is a statistical question because the data may vary for each player. :)

Answer:

$52

Step-by-step explanation:

first you find out what 60% of 130. all you need to do is put a decimal before the percent and multiply it with the cost, in this case 0.6 x 130, which results in 78. next you subtract the percentage result from the total cost to get your answer of $52.

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

Answer:

90°

Step-by-step explanation:

It's simple, the angle of a line is 180°

∠EFG=90°

Line GD-∠EFG=180°-90°=90°

Please mark brainliest!

Answer:

The correct answer is option C: (8, 14).

Step-by-step explanation:

The car's displacement in vector form can be found by subtracting the initial points from the final points.    

Initial: (x₁, y₁) = (-3, -5)

Final: (x₂, y₂) = (5, 9)          

For the x-coordinate, we have:  

[tex] d_{x} = x_{2} - x_{1} = 5 - (-3) = 8 [/tex]

And for the y-coordinate, we have:

[tex] d_{y} = y_{2} - y_{1} = 9 - (-5) = 14 [/tex]

The car's displacement in vector form is:

[tex] d = (d_{x}, d_{y}) = (8, 14) [/tex]  

Therefore, the correct answer is option C: (8, 14).

I hope it helps you!                        

Answer:

the answer is c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

is the right answer

The area of the shaded region is 12 feet². The correct option is A.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that the area of the outer rectangle above is 80feet². The area of the inner rectangle is 68feet². The area of the shaded region=area of the outer rectangle- the area of the inner rectangle.

The area of the shaded region=(80-68 )feet²

The area of the shaded region= 12feet²

Thus,  the area of the shaded region is 12feet².

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Answer:

Step-by-step explanation:

Answer: 2.95

Step-by-step explanation:

The students GPA for the term will be calculated as the weighted score divided by the number of units. This will be:

= (3.5 × 5) + (2.2 × 2) + (2.5 × 5) + (3.2 × 4) / (5 + 2 + 5 + 4)

= (17.5 + 4.4 + 12.5 + 12.8) / 16

= 47.2 / 16

= 2.95

Therefore, the GPA is 2.95

Answer:

Step-by-step explanation:

1/48 + 5/6    

The LCD of 48 and 6 is 48 so we have:

1/48 + 40/48

= 41/38

Answer:

41/48

Step-by-step explanation:

Given:

The given sum is:

[tex]\sum _{k=4}^9(5k+3)[/tex]

To find:

The expanded form and find the sum.

Solution:

We have,

[tex]\sum _{k=4}^9(5k+3)[/tex]

The expanded form of given sum is:

[tex]\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=23+28+33+38+43+48[/tex]

[tex]\sum _{k=4}^9(5k+3)=213[/tex]

Therefore, the correct option is C.

Answer:

[tex]P(Work | Senior) = 0.14[/tex]

Step-by-step explanation:

Given

The attached table

Required

[tex]P(Work | Senior)[/tex]

This is calculated using:

[tex]P(Work | Senior) = \frac{P(Work \ n\ Senior)}{P(Senior)}[/tex]

This gives:

[tex]P(Work | Senior) = \frac{n(Work \ n\ Senior)}{n(Senior)}[/tex]

From the table:

[tex]n(Work \ n\ Senior) = 5[/tex]

[tex]n(Senior) = 25 + 5+ 5 = 35[/tex]

So:

[tex]P(Work | Senior) = \frac{5}{35}[/tex]

[tex]P(Work | Senior) = 0.14[/tex]

Answer:

14%

Step-by-step explanation:

add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).

Answer:

Isreal

Step-by-step explanation:

15% of 1000 is 150x10=1500

2% of 3000 is 60x10=600

Answer:

Solution given:

a = 12, b = 5, c = 9

We have

: a² = b² + c² – 2bc cos A

12²=5²+9²-2×5×9 cos A

12²-25-81=-90 cos A

cos A=38/-90

A=cos -1(-19/45)

A=115°

is a required answer.

Answer: the answer is 8 because

Step-by-step explanation:

Answer:

The interest to be charged is $ 3,150.

Step-by-step explanation:

Since Mark is going to purchase a $ 9,000 motorcycle, and his bank will finance his purchase through an add-on interest loan, and they will charge Mark 7% interest over 5 years, to determine how much in interest will be charged, the following calculation has to be done:

9000 x 0.07 x 5 = X

630 x 5 = X

3150 = X

Therefore, the interest to be charged is $ 3,150.

Answer:

1.2

Step-by-step explanation: it just is

Answer:

speed = 78 miles per hour

Step-by-step explanation:

Speed is distance divided by time

speed = 234 miles / 3 hours

speed = 78 miles per hour

Answer:

a) SAT score = 1075

b) ACT score = 19.2.

c) ACT score = 27.9.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score

SAT scores have mean 1070 and standard deviation 204, so [tex]\mu = 1070, \sigma = 204[/tex]

51th percentile means that Z has a p-value of 0.51, so Z = 0.025. The score is X. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.025 = \frac{X - 1070}{204}[/tex]

[tex]X - 1070 = 0.025*204[/tex]

[tex]X = 1075[/tex]

SAT score = 1075.

(B) What would be the equivalent ACT score for this student?

ACT scores have mean of 19.1 and standard deviation of 5.2, which means that [tex]\mu = 19.1, \sigma = 5.2[/tex]. The equivalent score is X when Z = 0.025. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.025 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 0.025*5.2[/tex]

[tex]X = 19.2[/tex]

ACT score = 19.2.

(C) If a student gets an SAT score of 1417, find the equivalent ACT score.

Z-score for the SAT:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1417 - 1070}{204}[/tex]

[tex]Z = 1.7[/tex]

Equivalent score on the ACT:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.7 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 1.7*5.2[/tex]

[tex]X = 27.9[/tex]

ACT score = 27.9.