Mathematics College

please hurry will mark brainiest

Answers

Answer 1

Answer:

Step-by-step explanation:

x(x+8) = 450

x² + 8x - 450 = 0

Quadratic formula:

x = [-8±√(8²-4(1)(-450))]/[2(1)]

= [-8±2√466]/2

= -4±√466

≅ 17.59, -25.59

-25.59 is an extraneous solution, so x ≅ 17.6 inches.

The dimensions of the blackboard are 17.59 inches by 25.59 inches

Related Questions

620 is invested in an account earning 5.5%interest APR, compounded quarterly. Write a function showing the value of the account after t years

Answers

Answer:

Y=620×((1+(0.055÷4))^(4t)

Step-by-step explanation:

Y=X ((1+(r/n))^(nt)

Y future value

X present value 620

R interest rate 0.055

N compound quarterly 4

T time

Evaluate (−2)(−3)(−4)(−1)(−2)

Answers

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

Pls help !! Pls no links :)

Answers

Answer:

A 5 <= A <= 40

Step-by-step explanation:

down point is (5, 50)

up point (40, 350)

so 5 <= A <= 40

What is the constant rate of change shown in the table?

2

4

6

8

Answers

The constant rate of change is 2
(The y intercept is 20 so subtract 20 from the y and divide by 2 to get your x)

Answer:

Step-by-step explanation:

Since with every 10 seconds, the distance increase by 20 meters

hence, 20/10 = 2

Which statement best explains the importance of examining multiple perspectives about an event?

It reinforces a specific opinion about the event.
It determines which accounts are biased about the event.
It provides different and sometimes opposing viewpoints about an event.
It requires the use of both primary and secondary sources to learn about the event.

Answers

Answer:

It provides different and sometimes opposing viewpoints about an event.

A book has been discounted by 30%. It is on sale for $22.40. Find the original price.

Answers

ANSWER: $29.12 is the original price

EXPLANATION:
Do 22.40 • 0.30 to get 6.72
Then take 6.72 and add it to 22.40
This gives you the original price, $29.12

Fill in the blanks to complete the sentences below. (a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches ______. (b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than ______ standard errors from the population proportion. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)

Answers

Answer:

a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95

b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Step-by-step explanation:

Given the the data in the question, confidence level is 95%.

In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.

Given the the data in the question, confidence level is 95% and sample proportion

we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.

The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.

hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion

hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Using confidence interval concepts, it is found that:

a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.

b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.

Item a:

For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:

As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.

Item b:

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:

If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.

A similar problem is given at https://brainly.com/question/23536238

Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael

Answers

Answer: Mike!

Step-by-step explanation:

If AABC ~ AEDC, find the value of x.
a. 32
5.8
C. 40
d. 15

Answers

Answer:

x = 15

Step-by-step explanation:

If ABC similar to EDC then we can use the similarity ratio to find the value of x

32/(3x-5) = 56/(5x-5) cross multiply the fractions

160x - 160 = 168x - 280 export like terms to the same side of the equation

280 - 160 = 168x - 160x

120 = 8x divide both sides by 8

15 = x

Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4

Answers

Answer: D. 4

Step-by-step explanation:

Evaluate the math problem

Answers

Answer:

b. 25

Step-by-step explanation:

The square root cancels out

and you divide only 100 and 4

Answer:

5 or 25

Step-by-step explanation:

I first got the 25 but when I tried a different formula to make sure it's correct I got 5.

There are 6 balls in a bucket and 3 of them
are white. If you choose a ball at random,
what is the probability that it will not be
white?

Answers

Answer:

[tex] \frac{3}{6} [/tex]

Helpppsppspspspspsp plssss

Answers

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups

Answers

Answer:

l''kkk 1/2 cups

Step-by-step explanation:

To make 45 muffins the amount of flour required will be 6.25.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.

The amount of flour required will be calculated as:-

2 (1/2) flour ⇒ 18 muffins

2.5 flour ⇒ 18 muffins

2.5 x 2.5 flour ⇒ 2.5 x 18 muffins

6.25 flours ⇒ 45 muffins

Therefore, to make 45 muffins the amount of flour required will be 6.25.

To know more about an expression follow

Step-by-step explanation:

the energy the model will output in 10 years

10(2M+3S)

26. Maria reads 40 pages of her novel in 4 hours At that rate, how many pages would she read in 5 hours?

Answers

Answer:

(40/4) x 5 = 50 pages

Step-by-step explanation:

Answer:

50 pages

Step-by-step explanation:

You would have to cross multiply, 40/4 = x/5.

Then, you would get 200 = 4x.

Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)

Hope this helped you out!!

FIRST ANSWER GETS BRAINLIEST!!!

Which situations can be simulated using this spinner? Select three options. (6 sided spinner)

Answers

I believe it is A and C.

There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion. For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.

Answer: 90 degrees clockwise

Step-by-step explanation:

what is 2.7 kg in g. i need a simple answer

Answers

The answer is 2700 grams

Use the graph to write a linear function that relates y to x

y=

Answers

The answer is y=3 since there is no slope so the value of x will not affect your graph

Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard
deviation of 2.9 in.
The area greater than the Z-score is the probability that a randomly selected 14-year
old boy exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in.?

Answers

Answer:

P(Z>2.24) = P(70<X<1e99) = 1.25%

Step-by-step explanation:

Calculate Z-score:

Z=(x-μ)/σ

Z=(70-63.5)/2.9

Z=6.5/2.9

Z=2.24

Find area greater than Z-score:

P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125

So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.

A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows: Women Men _ Sample mean 12.9 hrs 16.4 hrs Sample SD 4.0 hrs 4.2 hrs Sample size 14 17 This sample data is then used to test the claim that the mean time spent watching television by women is less than the mean time spent watching television by men. Assume that the sample variances are equal, and a .05 significance level is used. What can we conclude from this test

Answers

Answer:

there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

Step-by-step explanation:

H0 : μw = μm

H1: μw < μm

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

df1 = 14 - 1 = 13

df2 = 17 - 1 = 16

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)

Sp² = 16.90

t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))

t = - 3.5 ÷ 1.4836645

t = - 2.359

Using the Pvalue from Tscore ; at 95% ; df = 29

Pvalue = 0.0126

Pvalue < α

0.0126 < 0.05 ;

Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

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