Subtract the polynomials:
(1 Point)
f(x) = 10x4 + 2x² +1; 8 (x) = 3x4 + 3x + 11
O f (x) – 8(x) = 7x4 + 2x2 – 3x – 10
O f(x) – 8 (x) = 7x4 + 2x2 – 3x + 12
O f (x) – 8(x) = 7x4 + 2x2 + 3x + 12
O f(x) – 8(x) = 7x4 + 2x2 + 3x - 10

Hi there!

[tex]\large\boxed{3 \text{ boxes}}[/tex]

Calculate the number of boxes of cubes needed by calculating the volume of the pictured figure.

We can see that it has a width of 4 blocks, depth of 2 blocks, and a height of 8 blocks.

Calculate volume: V = l × w × h

V = 4 × 2 × 8  = 64 cubes in each box.

Since she needs 140 cubes, we can find how many boxes she would need for this amount:

140 ÷ 64 = 2.1875.

However, you cannot buy a part of a box, which is why you must round to a whole number. However, only buying 2 boxes would be too little.

Thus, she would need to buy 3 boxes.

Answer:

Step-by-step explanation:

y = 4x + 1

Slope of line = 4

Slope of perpendicular to line = -¼

Point-slope equation for line of slope -¼ that passes through (12, -7):

y+7= -¼(x-12)

Answer:

6 and 1/2

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

Answer:

Frame A width = 6.67 inches

Frame B width = 6 inches

Step-by-step explanation:

WA = width of frame A

WB = width of frame B

(WA)(6.75) = 45

WA = 6.67

(WB)(7.5) = 45

WB = 6

Answer:

False

Step-by-step explanation:

RULE 1 :ANY SIDE OF THE TRIANGLE MUST BE LESS THAN THE SUM OF THE OTHER TWO SIDES

6< 12+5

5<6+12

12<5+6 (this is wrong number 1)

RULE 2: ANY SIDE MUST BE LESS THAN THE SUBTRACTION OF THE SMALLER SIDE AND THE BIGGER SIDE

6>12-5(wrong number 2)

5>12-6(wrong number 3)

12> 6-5

IT ONLY TAKES ONE WRONG TPO PROVE THIS IS NOT CORRECT

Answer:

a. committed a type 1 error

Step-by-step explanation:

The correct option is - a. committed a type 1 error

Reason -

Type 1 error occurs  when a true null Hypothesis is rejected

Type 2 error occurs when a false null Hypothesis is accepted

Now,

Let us state that,

The null hypothesis and alternate hypothesis is

H0 : There is no difference between the mean lifetimes of the new and old designs

H1 : There is a difference between the mean lifetimes of the new and old designs

Now,

As there is no difference between the mean lifetimes of the new and old designs.

⇒ The null hypothesis is true.

But p value suggests that null hypothesis should be rejected

∴

We have committed a Type 1 error that is rejecting a true null hypothesis.

So,

The correct option is - a. committed a type 1 error

Answer:

NO. It sounds terrifying, and nearly deadly with the lack of oxygen..all the pollution from things like cars and factories, the littering, the deforestation, the animals that are either endangered or extinct.

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

get to the middle of the 5's and that's your answer =>=

Answer:

The answer is 5

Step-by-step explanation:

Answer: 300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

If all terms are negative then the result will come out positive.

Answer:

I believe the answer is 300

Step-by-step explanation:

Answer:

becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2

Answer:

Is 2/4 smaller than 2/3? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

2/4 = 0.5

2/3 = 0.667

Then, we compare the two decimal numbers to get the answer.

0.5 is less than 0.667.

Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.

i  think this will help

Answer:

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

North Catalina:

Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:

[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]

Chapel Mountain:

Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:

[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]

What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

We want that: [tex]N - C > 5[/tex]

Distribution N - C:

The mean is:

[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]

The standard deviation is:

[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{5 - 10}{7.3937}[/tex]

[tex]Z = -0.68[/tex]

[tex]Z = -0.68[/tex] has a pvalue of 0.2483

1 - 0.2483 = 0.7517

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.035\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2[/tex]

[tex]n = 784[/tex]

You must survey 784 air passengers.

Answer:  The slope describes the change in temperature for every hour after the cold front arrives.

Step-by-step explanation:

Answer:

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.761

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.761\frac{345}{\sqrt{15}} = 157[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6784 - 157 = 6627

The upper end of the interval is the sample mean added to M. So it is 6784 + 157 = 6941

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

Answer:

$2672.20

Step-by-step explanation:

2300(1+(0.03)/(365))^(5*365)

=$2672.20

Answer:

x = 49

Step-by-step explanation:

This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.

Given the mathematical expression and data;

y = 1/√x

y = 7 and x = 64

First of all, we would find the constant of proportionality, k;

y = k/√x

7 = k/√64

7 = k/8

k = 7 * 8

Constant, k = 56

Now, to find the value of x when y = 8

y = k/√x

Substituting the values, we have;

8 = 56/√x

Cross-multiplying, we have;

8 * √x = 56

√x = 56/8

√x = 7

Taking the square of both sides, we have;

(√x)² = 7²

x = 49

Answer:

11/25

Step-by-step explanation:

we can divide both top/bottom by 100, to get 11/25

:)

Answer:

C

Step-by-step explanation:

I saw em in other ones

Answer: Neither

Step-by-step explanation:

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

Answer:

2x+6=4x-10[corresponding angle]

16=2x

x=8

again

2×8+6+13y-24=180°[linear pair]

13y=180+2

y=182/13

y=14

Answer:

I think its B or C

Step-by-step explanation:

Answer:

1/4 : 3 = 0.75

0.75 = 3,4

So B is the correct answer.

! !

' .

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, . <3

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Answer: It's C

Step-by-step explanation: