Simplify:
4(r + 1) + 3r

A) 4r + 4
B) 5r + 1
C) 7r + 1
D) 7r + 4

Answer: 1/2

Step-by-step explanation: This is a coin. Having heads three times in a row will never change that a coin is two sided and random, meaning it will never affect the coin to always be heads. They were most likely just lucky to get heads all the time. It will always be 1/2 since the coin is inanimate and is not like selecting classmates from a team, it cannot know it's probabilities and affect it. Thus it is 1/2 probability.

This can be simplified in the equation: P(H) = 1/2, P(T) = 1/2, P(H | T) = 1/2

Answer:

i think its 48

since 144384 divided by 48 would be 3008 and 432 divided by 48 would be 9. I believe thats the highest it can go to.

Answer:

(x^3-2x^2-4)*(x+2)

Step-by-step explanation:

[tex]\dfrac{0.63}{0.21}=\dfrac{0.63 \times 100}{0.21 \times 100}=\dfrac{63}{21}=\dfrac{21 \times 3}{21}=3[/tex]

Answer: in the file

Step-by-step explanation: in the file

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

It is found with the help of a calculator, having two inputs:

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

More can be learned about the t-distribution at https://brainly.com/question/16162795

The probability computed shows that the point estimate of the population is 6.2%.

a. The point estimate of the population will be calculated thus:

= 62% = 62/100 = 0.62

b. The margin of error of the population will be:

= z value × [✓0.62 × ✓0.38 / ✓200]

= 1.96 × (0.78 × 0.61 / 14.14)

= 0.0672

Therefore, the interval estimate is 6.72%.

c. The margin of error of the population proportion is found using half the range will be:

= [0.76 - 0.46] /2

= 0.30/2

= 0.15

d.  The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.

Learn more about probability on:

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Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

Answer:

68.

Step-by-step explanation:

90-degree angles.

90 - 22 = 68.

Answer:

8

Step-by-step explanation:

I bolded what I think is important to know.

To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).

The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.

SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV

How many outcomes include red sauce or sausage?

Answer:

negative reciprocals of each other

Step-by-step explanation:

internet

Answer:

Step-by-step explanation:

605/11 = x/5

11x = 3025

x = 275 miles

Answer:

275 miles

Step-by-step explanation:

Bill drove 605 miles in 11 hours , so by the formula , Speed = Distance/ time

We can find that ,

Speed = 55 miles/hours

So , In 5 hours he will drive

Distance = Speed × Time

Distance = 55 × 11

Distance = 275 miles

Answer:

2.23

Step-by-step explanation:

we get this by making the fraction a decimal and finding out the value of each section

70,000 centimeters

Step-by-step explanation:

1 meter = 100 centimeters

700 x 100 =70,000

Answer:

1200

Step-by-step explanation:

Answer:

$13200

Step-by-step explanation:

1200$ = 100

? =1100

(1200*1100) ÷ 100

(1 320 000) ÷100

$13200

Answer:

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Explanation:

slope:

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{-2--5}{6-0}[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

equation in slope intercept form:

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Answer:

[tex]y=\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find slope, we use points on the line.

Here, I will be suing (-6, -8) and (8, -1)

[tex]m=\frac{1-(-8)}{8-(-6)} \\\\m=\frac{-1+8}{8+6} \\\\m=\frac{7}{14}\\\\m=\frac{1}{2}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{2} x+b\\[/tex]

Now, we use either of our points (-6, -8) OR (8, 1) to find b.

I will be using (8, -1):

[tex]y=\frac{1}{2}x+b\\\\-1=\frac{1}{2}(8)+b\\\\-1=4+b\\\\-4-4\\\\-5=b[/tex]

[tex]y=\frac{1}{2}x+b== > y=\frac{1}{2}x-5[/tex]

Check your answer manually: (-6, -8)

[tex]y=\frac{9}{14}x-\frac{29}{7}\\\\-8=\frac{9}{14}(-6)-\frac{29}{7}\\\\-8=\frac{9}{7}(-3)-\frac{29}{7}\\\\-8=-\frac{27}{7}-\frac{29}{7}\\\\-8=-\frac{56}{7}\\\\-8=-8[/tex]

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!

Answer:

[tex]x * x + x * x * x * x = y[/tex]

The formula for finding exponents is multiply the number following the exponent by itself that number of times.

Answer:

1. 155 yd², 2. 379.54 ft², 5. x = 65.82π

Step-by-step explanation:

1. A = (1/2) · (3 + 13) · 8

A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²

2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²

3. and 4. Sorry, I don't know how to solve these

5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π

Hope this helps :)

Answer:

Looks like A

Step-by-step explanation:

Have a good rest of your Day

Hello!

Let's solve this equation:

84=h-8

This is the same as

h-8=84

Add 8 to both sides:

h=84+8

h=92

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

D. Reflection across the y-axis

Step-by-step explanation:

In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.

Answer:

Step-by-step explanation:

A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

Read more about quadratic functions at:

https://brainly.com/question/1497716

Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

John bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:

2x + 3y + 4z = 20.

Cindy bought 5 folders and 5 notebooks for a total of $25, hence:

5y + 5z = 25.

x + z = 5.

x = 5 - z.

Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:

3x + y + 2z = 11.

y = 11 - 3x - 2z

Replacing the second and the third equation on the first, we have that:

2x + 3y + 4z = 20.

2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.

10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.

2z + 3(11 - 15 + 3z - 2z) = 10

2z + 3(z - 4) = 10

5z = 22.

z = 4.4

x = 5 - z = 5 - 4.4 = 0.6

y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.

Hence:

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

Yes.

Step-by-step explanation:

7 x 8= 56

9 x 8= 72

56/72 is proportional to 7/9

Answer:

[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional

Step-by-step explanation:

In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.