Questio
Matteo scored 85 on their first test, 89 on their second test, 85 on their third test, and
89 on their fourth test. Suppose Matteo has one more test in the semester and wants
to finish with a mean score of 88.

What score do they need on their last test to finish with a mean score of 88?

Answers

Answer 1

Answer:

He needs 92 on his last test.

Step-by-step explanation:

Mean score:

The mean is the sum of all scores divided by the number of tests.

In this question:

Scores of 85, 89, 85, 89 and x(the last one).

5 tests.

We want a mean of 88. So we find x for a mean of 88.

[tex]\frac{85 + 89 + 85 + 89 + x}{5} = 88[/tex]

[tex]348 + x = 440[/tex]

[tex]x = 440 - 348 = 92[/tex]

He needs 92 on his last test.


Related Questions


Helppppppp plsssssssssssssssssssssss

Answers

Answer:

Its 12.51

Step-by-step explanation:

Divide the ones column dividend by the divisor.

Multiply the divisor by the quotient in the right place column.

Subtract the product from the ones column.

then you get your answer! Hope this helps!

a trailer that can be attached to the back of the truck also has a volume of 180 cubic feet. what could be the possible dimension of the trailer

Answers

Answer:

5x6x6

Step-by-step explanation:

5x6x6=180

3x3x20=180

4x5x9=180

[tex]\sqrt[3]{180}[/tex]=5.65

Evaluate the six trigonometric functions of the angle 0?


Answers

Step-by-step explanation:

In the above right Angled triangle , we have ,

perpendicular = 12base = 9hypontenuse = ?

For finding hypontenuse use Pythagoras Theorem , we have ,

⇒ h² = p² + b²

⇒ h² = 9² + 12²

⇒ h² = 81 + 144

⇒ h² = 225

⇒ h = √225

⇒ h = ± 15

h = 15 [ Neglect -ve value ]

Therefore ,

cosθ = b/h = 9/15sinθ = p/h = 12/15tanθ = p/b = 12/9cosecθ = h/p = 15/12 secθ = h/b = 15/9 cotθ = b/p = 9/12

Maya read 3535 pages in \frac{4}{5}
5
4

of an hour. If she continues reading at the same rate, how many pages will she read in an hour?

Answers

Question for the Poster: Can I get brainliest,Thanks.Please type your questions with correct spelling so you can get your question answered to the best of everyone's ability

Answer:Maya reads 43 and 3/4 or 43.75 pages in 1 hour(or 44 pages per hour)

Plz help me well mark brainliest if you are correct!

Answers

Answer:

4

Step-by-step explanation:

Mrs. Cole has a bag containing white and yellow marbles. Mrs. Cole randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below. White Marble - 41 times Yellow Marble - 24 times Based on these results, what is the probability that the next marble Mrs. Cole selects, rounded to the nearest percent, will be white?

answer choices
40%
50%
59%
63%​

Answers

I think the correct answer is 63 because 41 of 65 is 63.08 rounded to the nearest percent is 63

it's this one!!!!_;$;;#+$;​

Answers

Answer:

12 Units

A total of 12 units have been traveled.

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

400

Step-by-step explanation:

400 my explanation is that I did this before and I got it correct.

A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 313 voters respond positively, we will conclude that at least 60% of the voters favor the use of these fuels.

Required:
a. Find the probability of type I error if exactly 60% of the voters favor the use of these fuels.
b. What is the type II error probability β if 75% of the voters favor this action?

Answers

Answer:

[tex]\alpha=0.11767[/tex]

[tex]\beta=0[/tex]

Step-by-step explanation:

From the question we are told that:

Population size size [tex]N=500[/tex]

Sample mean [tex]n=313[/tex]

Null hypothesis [tex]H_0:P=0.6[/tex]

Alternative hypothesis[tex]H_a:P>0.6[/tex]

Generally the equation for for P value is mathematically given by

[tex]P=\frac{n}{N}[/tex]

[tex]P=\frac{313}{500}[/tex]

[tex]P=0.6[/tex]

Generally the mean [tex]\=x[/tex] is mathematically given by

[tex]\=x=np\\\=x=500*0.6[/tex][tex]\=x=300[/tex]

Generally the standard deviation [tex]\sigma[/tex] is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{500*0.6*(1-0.6)}[/tex]

[tex]\sigma=10.95[/tex]

a)

Generally the probability of Type_I error [tex]P(X>313)[/tex] is mathematically given as

[tex]P(X>313)=P(\frac{x-\mu}{\sigma}>\frac{313-300}{10.95} )[/tex]

[tex]P(X>313)=P(z>1.187 )[/tex]

Therefore using z table

[tex]\alpha=0.11767[/tex]

b)

Null hypothesis [tex]H_0:P=0.75[/tex]

Alternative hypothesis[tex]H_a:P>0.75[/tex]

Generally the probability of Type_II error [tex]P(X<313)[/tex] is mathematically given as

[tex]P=0.75,n=500\\q=1-0.75\\q=0.25[/tex]

Generally the mean [tex]\=x'[/tex] is mathematically given by

[tex]\=x'=500*0.75[/tex]

[tex]\=x'=500*0.75[/tex]

[tex]\=x'=375[/tex]

Generally the standard deviation [tex]\sigma[/tex] is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{500*0.75*(1-0.75)}[/tex]

[tex]\sigma=9.68[/tex]

Therefore

[tex]P(X<313)=P(\frac{x-\mu}{\sigma}<\frac{313-375}{9.68} )[/tex]

[tex]P(X<313)=P(z<-6.405)[/tex]

Therefore from standard normal table

[tex]P(X<313)=0[/tex]

[tex]\beta=0[/tex]

Express as a trinomial.
(x + 4)(x - 1)

Answers

Answer:

x^2+3x−4

Step-by-step explanation:

What are the answer I don’t need the process

Answers

Step-by-step explanation:

Don't you need a key for what K equals to solve this?

Please help me I need help

Answers

Answer:

The first one would be the top answer.

He can play less than 5 minutes before he loses a life.

Step-by-step explanation:

Find the sum of the angle measure of a hexagon

Answers

Answer:

120°

Shape Sides Each Angle

Hexagon    6              120°

someone please help me answer this!!

Answers

Answer:

8 mm

Step-by-step explanation:

Answer attached....

Hope it helps :)

Answer:

a = 8mm is the answer

Step-by-step explanation:

a = ?

b = 6mm

c = 10mm

By using the Pythagoras theorem,

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = 8

∴ a = 8mm is the length of the missing leg

zz* + 3iz = p + 9i
where z is a complex number and p is a real constant.
Given that this equation has exactly one root, determine the complex number z

Answers

Step-by-step explanation:

I need to use the fact that it has exactly one root to find the y part - do I use the quadratic formula on the last bit I have written?

I have x already and z = x+iy

3i and 3 are two complex numbers that fulfill this equation.

What are complex numbers?

A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex]. The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.

We have -

zz* + 3iz = p + 9i

Assume the complex number to be -

z = a + ib

Then -

(a + ib)(a - ib) + 3i(a + ib) = p + 9i

a² + b² + 3ai + 3bi = p + 9i

(a² + b²) + i(3a + 3b) = p + 9i

So -

3(a + b) = 9

a + b = 3

(a² + b²) = p

Now -

Assume p = 9

Then -

a + b = 3

a² + b² = 9

we get two possible values -

(a, b) = (0, 3)

and

(a, b) = (3, 0)

It can be seen that the values of complex number depend upon the value of p. For p = 9, two complex numbers fulfill this equation -

0 + i3 = 3i

3 + i0 = 3

Therefore, 3i and 3 are two complex numbers that fulfill this equation.

To solve more questions on complex numbers, visit the link below-

brainly.com/question/617146

#SPJ2

Find the slope of the line that passes through (0,-2) and (4,-3)

Answers

Slope formula is y2-y1 over x2-x1 so we take -3-(-2) over 4-0 that gives us -1/4 so -1/4 is your slope

What is the area of the trapezoid? The diagram is not drawn to scale.
9 cm
4 cm
5 cm
O14 cm2
O 20 cm2
O 38 cm2
O 56 cm2

Answers

Answer:

56sq. cm

Step-by-step explanation:

Area of a trapezoid = 1/2(a+b)h

a and b are the parallel sides

h is the height of the trapezoid

Find the f=diagram attached. from the diagram

a = 9cm

b = 5 + 9 + 5 = 19cm

h = 4cm

Substitute

Area of the trapezoid = 1/2 * (9+19)*4

Area of the trapezoid = 1/2 * 28 * 4

Area of the trapezoid = 28 * 2

Area of the trapezoid = 56sq. cm

PLS ANSWER IT QUCK PLS PLS PLS PLS PLS

Answers

Answer:

87 !

Step-by-step explanation:

Find tan A for the triangle below. A right triangle. The hypotenuse is 24.19, the side opposite to angle A is 12, and the side adjacent to angle A is 21.

a. 0.868
b. 0.496
c. 1.75
d. 0.5714

Answers

Answer:

D. Just follow the definition in the first line of the answer.

Step-by-step explanation:

Tan(A) = the opposite Side / Adjacent Sid

Tan(A) = 12/21

Tan(A) = 0.5714

Answer:

D. 0.5714

Step-by-step explanation:

I am a rizzly bear

Please can someone find X! Please!

Answers

Answer: x=26

Explanation:
24^2+10^2= 676
Sqrt 676 = 26

14. Which of the following is not a true statement about the scatter plot above?
A. The association of the scatter plot is positive.
B. The association of the scatter plot is linear.
C. For every additional day of a trip, the weight of a suitcase increases 5 pounds.
D. For every 5 additional days of a trip, the weight of a suitcase increases one pound.

Answers

Answer:

Step-by-step explanation:

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Alternate exterior angles lie on the outer part and are opposite each other
4 and 6
1 and 7

Your marketing team has conducted two focus group sessions to evaluate a new product design. The first focus group consisted of teenagers and resulted in four out of five liking the new product. The second group was made up of parents of young children. Only one out of five people in this group said they liked the same new product as the teens. With 90% confidence (Z = 1.64), can you say that there is a difference between the views of these two populations? Please show your calculations, use 2 decimal places in your calculation answer, and justify your answer regarding differences.

Answers

Answer:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

Step-by-step explanation:

1) Formulate the hypotheses:

H0 : p1=p2

Ha: p1 ≠ p2

2) The significance level is chosen at ∝= 0.1  

3) The critical region is Z∝/2 ≥ ± 1.645

4) The test statistic under H0 is

Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)

p1^= proportion of of teenagers liking the new product.

p2^ = proportion of of parents of young children liking the new product.

p1^= 4/5

p2^= 1/5

p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5

q^= 0.5

Thus

Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)

z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)

z= 0.6/ 0.316227

z= 1.897

5) Conclusion:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

what is an expression that IS NOT greater than 1/4

Answers

Answer:

1/5, 1/6, 1/7 is expressions not greater than 1/4

Step-by-step explanation:

An angle measures 59 degrees what is the measure of its supplement

Answers

Answer:

add up to 90 degree

Step-by-step explanation:

The measure of its supplement would be 121 degrees.

someone please help me answer this!1

Answers

Answer:

b = 30 yd is the answer.

Step-by-step explanation:

a = 40 yd

b = ?

c = 50 yd

According to the Pythagoras theorem,

a² + b² = c²

40² + b² = 50²

1600 + b² = 2500

b² = 2500 - 1600

b² = 900

b = 30 yd

∴ b = 30 yd is the length of the missing leg.

ASAP PLEASE HELP

WILL MARK BRAINLIEST

Answers

Answer:

A, B, and C All have four sides, and they all have opposite sides that are equal. B and C have right angels. A has angels on opposite side that are the same

Step-by-step explanation:

Find the mode of the data set. 46, 44, 49, 54, 51, 50, 47, 41, 47, 51, 51, 40, 53, 50, 52, 53

Answers

Answer:

51

Step-by-step explanation:

To find the mode of a data set, you must order the data set from least to greatest and find out which number appears the most. For example, I ordered the data set in this example, and found the out that 51 appeared the most.

A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?

Answers

Answer:

Ihe answer is 845 times

Step-by-step explanation:

What’s the answer helpppp

Answers

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

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