What is (+12) – (-8)?

Answer:15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

From Point A use -8 subtracted by Point C 8 and get

16. It is positive because the length of side can't be negative.

Answer:

The answer is $22.75! (A)

Step-by-step explanation:

All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.

22.75 + 13.75 = 36.50

We'll first need to determine what the composite function f(g(x)) is equal to.

Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2

So we get the following:

[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]

Next, we apply the derivative

[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]

Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.

The last thing we do is plug in x = 3 and simplify.

[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]

Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.

Answer:

6.5

Step-by-step explanation:

6.5

Answer:

5 4/7

Step-by-step explanation:

if i read your question right that is the answer

Given:

The expression is:

[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]

To find:

The [tex]a+bi[/tex] form for the given expression.

Solution:

According to De Moivre's theorem,

[tex](\cos \theta+i\sin \theta)^n=\cos (n\theta )+i\sin (n\theta )[/tex]

We have,

[tex]\dfrac{1}{2}(\cos (72)+i\sin (72))^5[/tex]

Using De Moivre's theorem, we get

[tex]=\dfrac{1}{2}(\cos (72\times 5)+i\sin (72\times 5))[/tex]

[tex]=\dfrac{1}{2}(\cos (360)+i\sin (360))[/tex]

[tex]=\dfrac{1}{2}(1+i(0))[/tex]

[tex]=\dfrac{1}{2}+0i[/tex]

It is the [tex]a+bi[/tex] form of the given expression. Here, [tex]a=\dfrac{1}{2},\ b=0[/tex].

Therefore, the required expression is [tex]\dfrac{1}{2}+0i[/tex].

Answer:

C. 16 inch 3

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2 : 4

8 : 16

Answer:

1 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.​

Step-by-step explanation:

Answer:

We can't see it all that well sorry.

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

The angles are supplementary therefor

(5x + 13) + (x + 23) = 180

Combine like terms

6x + 36 = 180

Subtract 36 from both sides

6x = 144

Divde both sides by 6

x = 24

Answer:

5x+13+x+23=180°[exterior corresponding angle is supplementary.

6x=180-36

x=144/6

x=24

Answer:

-8

Step-by-step explanation:

The steps are in the photo I attatched

Answer:

14.5cm

Step-by-step explanation:

radius is half of diameter

29 / 2 = 14.5

Answer: Hii!

Step-by-step explanation:

Answer:

4/4 ?

Step-by-step explanation:

Answer:

4/4

Step-by-step explanation:

Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.

Step-by-step explanation:

3 -> 6

? -> 1

? x 6 = 3 x 1

? = 3 / 6 = 1/2 pound bag of soil

1/2 pound soil will be in each bag

Answer:

Kindly check explanation

Step-by-step explanation:

Given The samples:

X = 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3, 9.8

Using a calculator ;

Sample mean, xbar = 10.27

Sample standard deviation, s = 0.462

H0 : μ = 15

H1 : μ < 15

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(10.27 - 15) / (0.462/sqrt(15))

-4.73 / 0.1192878

= - 39.65

Using the Pvalue form Tscore, calculator, df = 14

Pvalue = 0.000001,

Since, Pvalue < α ; then we reject the Null

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

TCritical at 95%, df = 14

Margin of Error = 2.145 * 0.462/sqrt(15) = 0.2559

Lower boundary :

10.27 - 0.2559 = 10.0141

Upper boundary :

10.27 + 0.2559 = 10.5259

(10.0141 ; 10.5259)

The true population means should reside within the interval

Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).

Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.

where:

M = sample mean

Z = Z statistic determined by confidence level

sM = standard error = √(s2/n)

As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)

Answer:

0.825

Step-by-step explanation:

To convert to lowest form, you have to shift the decimal place 2 places to the left.

Answer:

it needs me to type more but answer is

-5,-4

Answer:

S will be at (-5,-4)

Step-by-step explanation:

T is located at (0,-4)

To move to the left, the x coordinate moves.

(0-5, -4)

S will be at (-5,-4)

Answer:

(a) See attachment for tree diagram

(b) 24 possible outcomes

Step-by-step explanation:

Given

[tex]Urn\ 1 = \{B_1, R_1, R_2, R_3\}[/tex]

[tex]Urn\ 2 = \{R_4, R_5, B_2, B_3\}[/tex]

Solving (a): A possibility tree

If urn 1 is selected, the following selection exists:

[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]

If urn 2 is selected, the following selection exists:

[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]

See attachment for possibility tree

Solving (b): The total number of outcome

For urn 1

There are 4 balls in urn 1

[tex]n = \{B_1,R_1,R_2,R_3\}[/tex]

Each of the balls has 3 subsets. i.e.

[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]

So, the selection is:

[tex]Urn\ 1 = 4 * 3[/tex]

[tex]Urn\ 1 = 12[/tex]

For urn 2

There are 4 balls in urn 2

[tex]n = \{B_2,B_3,R_4,R_5\}[/tex]

Each of the balls has 3 subsets. i.e.

[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]

So, the selection is:

[tex]Urn\ 2 = 4 * 3[/tex]

[tex]Urn\ 2 = 12[/tex]

Total number of outcomes is:

[tex]Total = Urn\ 1 + Urn\ 2[/tex]

[tex]Total = 12 + 12[/tex]

[tex]Total = 24[/tex]

Answer:

base times height divide by two

26 times 17=442/2=221

the answer is 221

Step-by-step explanation:

Answer:

Value of x =  15.1 unit (Approx.)

Step-by-step explanation:

Given:

For angle 54°

Base of triangle = 11 unit

Perpendicular of triangle = x unit

Find:

Value of x

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

Tan 54 = Perpendicular of triangle / Base of triangle

Tan 54 = x / 11

1.376 = x / 11

Value of x = 1.376 × 11

Value of x = 15.136

Value of x =  15.1 unit (Approx.)

Step-by-step explanation:

Math is hard.....

and I don't like it anymore

Question

If Johnathon has work 16 hours a day from 8am to 12pm, and he has to drive from point a to b, which the distance is 3600 miles. His car can drive for 700 miles on a full tank of gas, which 1 gallon is 28 miles. What is the amount of stops and gallons of gas to get to point a and b?

Step-by-step explanation:

Answer:

18.285 in.²

Step-by-step explanation:

3 in. × 4 in. = 12 in.²

A = πr²

A = 12.57 in.²

12.57 in.² ÷ 2 = 6.285 in.²

6.285 in.² + 12 in.²

18.285 in.²

Answer:

cc

Step-by-step explanation:

Answer:

Step-by-step explanation:

5P4=5×4×3×2=120

Answer:

120

Step-by-step explanation:

120

every other number is in the 70s

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

Length of OG = 16

Length of PE = 9

Let us draw a perpendicular AE to OG which intersects at A.

Length of AG = OG - PE

                      = 16 - 9

                      = 7

Length of AE = OP

                      = OT + TP

                      = OG + PE [Since, OT = OG and TP = PE, radii of the circles]

                      = 16 + 9

                      = 25

By applying Pythagoras theorem in ΔGAE,

GE² = AG² + AE²

GE² = 7² + 25²

GE = √674

GE = 25.96

     ≈ 26

Option (2) will be the correct option.