Classify the polynomial by the number of terms.
mx+b
•Trinomial
•Monomial
•Polynomial
•Binomial

Answer:

12

Step-by-step explanation:

The range is the difference from the greatest data point and the least data point. By looking at the box plot, the lowest value would be 0 while the highest would be 12. You use the definition of range to find it:

12 - 0 = 12

Answer:

Step-by-step explanation:

You would get the probability of double sixes as:

Correct choice is A

The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.

We have given that,

Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).

Robin thinks the probability is 136 based on the tree diagram they created.

Steven disagrees and argues that the probability of rolling double sixes is 16.

John counts twelve outcomes and claims the probability is 112.

The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes

You would get the probability of double sixes as:

P(6, 6) = 1/6*1/6 = 1/36

Correct choice is A.

Therefore the Robin, because there are 36 outcomes and only one is (6, 6).

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Answer:

An acute triangle

Step-by-step explanation:

Answer:

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Step-by-step explanation:

Given

[tex]Zeros: -5,-2,2[/tex]

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

[tex]f(x) = (x - a)(x - b)(x - c)[/tex]

So, we have:

[tex]Zeros: -5,-2,2[/tex]

[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]

Open the inner brackets

[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]

Expand the difference of two squares

[tex]f(x) = (x +5)(x^2 - 4)[/tex]

Expand

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Answer:

The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{2.7}{\sqrt{400}} = 0.35[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 8.84 - 0.35 = 8.49 miles.

The upper end of the interval is the sample mean added to M. So it is 8.84 + 0.35 = 9.19 miles.

The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.

Answer:

[tex]\sigma_x= 1.75\%[/tex]

Step-by-step explanation:

Given

[tex]n = 64[/tex]

[tex]\mu = 78\%[/tex]

[tex]\sigma = 14\%[/tex]

Required

The sample standard deviation

This is calculated as:

[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]

This gives:

[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]

[tex]\sigma_x= \frac{14\%}{8}[/tex]

[tex]\sigma_x= 1.75\%[/tex]

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☆☆●◉✿Answer:✿◉●☆☆

The letters of hippopotamus is H-I-P-P-O-P-O-T-A-M-U-S

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

I’m sowy, I didn’t really understand your question... did you want to learn about a hippopotamus? If so, please tell me in the comments I would answer there too!

HOPE I HELPED!  ∧∧

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Answer:

Manuel owns 5 DVDS

Step-by-step explanation:

3/5 = 12/20

12 - 7 = 5

you watch seven deadly sins?

A or the first answer shown

Answer:

No it is not close to half of the data below the mean and half the data above the mean

Answer:

I got 6.

Step-by-step explanation:

I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.

Answer: 4.09

Step-by-step explanation:

4.09142857 rounded to the nearest hundredth is: 4.09

Answer:

20?

Step-by-step explanation:

Answer: 8.9

Step-by-step explanation:

To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]

The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.

So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.

[tex]a^2 + b^2 = c^2[/tex]

[tex]8^2+4^2=c^2[/tex]

[tex]16 + 64 = c^2[/tex]

[tex]80 = c^2[/tex]

[tex]\sqrt{80}[/tex] = c

Use a calculator, and after rounding, you get 8.9

Answer:

Hello!

16

Step-by-step explanation:

Because

-5+16=11

Answer:

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

The mean is of 11.1 and the standard deviation is of 2.64.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Using the normal distribution to approximate the binomial distribution.

This is possible if:

[tex]np \geq 10, n(1-p) \geq 10[/tex]

A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.

This means that [tex]p = 0.37, n = 30[/tex]

Test if it is possible:

[tex]np = 30*0.37 = 11.1[/tex]

[tex]n(1-p) = 30*0.63 = 18.9[/tex]

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

Mean and standard deviation:

[tex]E(X) = np = 30*0.37 = 11.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]

The mean is of 11.1 and the standard deviation is of 2.64.

Answer:

C

Step-by-step explanation:

18 boys

Answer:

i think 18 msy be

Step-by-step explanation:

Answer:

1x 2x 3x

Step-by-step explanation:

Answer:

2e = c

Step-by-step explanation:

Let :

Egg = e

Cookies = c

2 eggs for every 1 dozen of cookies

This gives the Mathematical expression :

2 eggs = 1 c

2e = c

Answer:

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

Step-by-step explanation:

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.

At the null hypothesis we test if the proportion is still the same, that is, of 6%. So

[tex]H_0: p = 0.06[/tex]

At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So

[tex]H_1: p \neq 0.06[/tex]

What is an appropriate set of hypotheses for his significance test?

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

CORRECT (SELECTED)

z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=

240

0.06(0.94)

​

​

0.1−0.06

​

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

Answer:

7 students.

Step-by-step explanation:

1/6 of 30 is 5

3/5 of 30 is 18

18+5=23

30-23=7

Answer:

Step-by-step explanation:

SEVEN

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

[tex]S = \{HH,HT,TH,TT\}[/tex] -- Sample Space

[tex]n(S) = 4[/tex] --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]

[tex]P(HT) = \frac{1}{4}[/tex]

Multiply this by the number of tosses

[tex]P(HT) * n= \frac{1}{4} * 20[/tex]

[tex]P(HT) * n= 5[/tex]

Solving (b); experimental probability of HT

Here, we make use of the table

[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]

[tex]P(HT) = \frac{6}{20}[/tex]

[tex]P(HT) = 0.30[/tex] ---- Experimental Probability

In (a), the theoretical probability is:

[tex]P(HT) = \frac{1}{4}[/tex]

[tex]P(HT) = 0.25[/tex] ---- Experimental Probability

By comparison;

[tex]0.30 > 0.25[/tex]

Answer:

Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2

Answer:

The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.

Step-by-step explanation:

I'm right and if you think I'm wrong then you're wrong

Answer:

-86

Step-by-step explanation:

3x10=30

22-3=19-3=16-3=13

so if its tthe 37th term, lets do 30x3=90

now 13-90=-77

-77=34th term

now just -3 until 37

-80

-83

-86

the 37th term is -86

Answer:

the height is 20 cm.

tsa is 940 cm square

Step-by-step explanation:

volume of cuboid = l*b*h

1800 = 9*10*h

h= 20 cm

TSA = 2(L*B+ B*H + L*H)

= 2(9*10 + 10*20 + 9*20)

=940 cm square

The height of the cuboid will be 20 cm

The total surface area of cuboid will be 940 cm²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The length of cuboid = 9 cm

The breadth of cuboid = 10 cm

And, The volume of cuboid = 1800 cm³

Now,

We know that;

Volume of cuboid = Length × Breadth × Height

⇒ 1800 = 9 × 10 × h

⇒ 1800 / 90 = h

⇒ h = 20 cm

And, The total surface area of cuboid = 2lw + 2lh + 2hw

Substitute all the values, we get;

⇒ The total surface area of cuboid = 2 (9 × 10 + 9 × 20 + 20 × 10)

                                                      = 2 (90 + 180 + 200)

                                                      = 2 × 470

                                                      = 940 cm²

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Answer:

If y - 4 = 5 then:

y = 5 + 4

y = 9

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²