Find the exact solution to the equation.
4(12-3x) = 64

What is the solution?

Answer:

10

Step-by-step explanation:

you subtract 12 from 102 and get 90. then you divide 90 by 9 and it equals 10. to figure these problems out I always do the order of operations in reverse starting with the answer.

Answer: The confidence interval will be -91.87 < μ₁-μ₂ <751.87

Step-by-step explanation: Confidence Interval is the interval of certainty in which the true population mean is in.

In a confidence interval for the difference between two averages with a sample size less than 30, the calculations are:

[tex]x_{1}-x_{2}[/tex] ± [tex]t.S_{p}\sqrt{\frac{1}{n_{1}} +\frac{1}{n_{2}} }[/tex]

in which

x₁ and x₂ are the sample mean of each data set

t is the probability found in the t-table whose df = n₁ + n₂ - 2

[tex]S_{p}[/tex] is the pooled estimate of the common standard deviation, assuming variances are similar, and can be calculated as:

[tex]S_{p}=\sqrt{\frac{(n_{1}-1)(s_{1})^{2}+(n_{2}-1)(s_{2})^{2}}{n_{1}+n_{2}-2} }[/tex]

n₁ and n₂ are sample sizes

The data to construct the interval are:

Mine A:

x₁ = 8260

s₁ = 251.9

n₁ = 5

Mine B:

x₂ = 7930

s₂ = 206.52

n₂ = 5

Then:

[tex]S_{p}=\sqrt{\frac{(5-1)(251.9)^{2}+(5-1)(206.52)^{2}}{8}[/tex]

[tex]S_{p}=\sqrt{\frac{253814.44+170602.04}{8}[/tex]

[tex]S_{p}=[/tex] 230.33

Using a table, for a 99% confidence and df = 8, t-score = 2.896.

Doing calculations:

(8260-7930) ± (2.896)(230.33)([tex]\sqrt{\frac{1}{5} +\frac{1}{5} }[/tex])

330 ± (2.896)(230.33)([tex]\sqrt{0.4}[/tex])

330 ± 421.87

Interval will be

[tex]-91.87<\mu_{1}-\mu_{2}<751.87[/tex]

A 99% confidence interval for the difference between the true average heat-producing capacities of coal from the mines is between -91.87 and 751.87

Answer:

Identity property of division

Step-by-step explanation:

Answer:

15 min

Step-by-step explanation:

if it takes Player 1 one min he will meet player two at there second lap after 15 min

If player 1 and player 2 begin their run at the same time and location on the​ field, In 60 minutes will they meet to begin their next lap​ together.

The LCM of any two is the value that is evenly divisible by the two given numbers.

Given,

Player 1 and player 2 are running laps around a field

Player 1 runs 1 lap every 4 ​minutes,

player 2 runs 1 lap every 15 minutes

We need to find  in how many minutes will they meet to begin their next lap​ together

We need to find the LCM of 4 and 15 to find the answer

4: 4, 8,12,16, 20,24,28,32,36,40,44,48,52,56,60

15: 15,30,45,60

The least common multiple of 4 and 15 is 60.

The two players meet at the same point after 60 minutes.

Hence If player 1 and player 2 begin their run at the same time and location on the​ field, In 60 minutes will they meet to begin their next lap​ together.

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Answer:

9

Step-by-step explanation:

There are 9 students who spend the following number of hours in a typical day on the computer.

3,3,5,7,7,9,9,9,12

The mode is the number that is of the highest frequency in any given set of values.

The mode number of hours is the highest number of hours spent on the computer.

The number 9 occured the most times. Therefore the mode hour is 9

Answer:

$24.68

Step-by-step explanation:

15% of 20=3

8.4% of 20=1.68

20+3+1.7=24.68

I did this by multiplying .15 by 20 to get 3, and multiplying .084 by 20 to get 1.68. Again, add it all together to get $24.68.

Hope this helps :)

Answer:

Step-by-step explanation:

Thanks I will go there soon

Answer:

30+ deg -10 =20+deg

so answer is see mark brainliest plz

Answer:

176

Step-by-step explanation:

88% = 88/100

88 × 2 = 176

176/200

Answer:

176 is the answer

Answer:

You should be good with A

Step-by-step explanation:

Answer: 9/25 inches of rain

Step-by-step explanation: Put the decimal (0.36) over its place value (100), which turns it into 36/100. Now, simplify by dividing the numerator (36) and the denominator (100) by the greatest common factor (4), to get the answer 9/25.

Answer:

I’m pretty sure it’s -2500

Step-by-step explanation:

Answer:

I think it would be x = -2500

Step-by-step explanation:

You square both sides to get rid of the square root and get -4x = 10000 then divide 10000 by -4 to get -2500

Answer:

The correct answer is A.

Step-by-step explanation:

The rule with a function is every input has exactly one output. In the answer choices b, c, and d all of them has a repeating input or x value.

In an earlier chapter we learned that

32=3⋅3=9

We said that 9 was the square of 3. The square of -3 is 9 as well

(−3)2=(−3)⋅(−3)=9

3 and -3 are said to be the square roots of 9.

All positive real numbers has two square roots, one positive square root and one negative square root. The positive square root is sometimes referred to as the principal square root. The reason that we have two square roots is exemplified above. The product of two numbers is positive if both numbers have the same sign as is the case with squares and square roots

a2=a⋅a=(−a)⋅(−a)

A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand.

a−−√

To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

±9–√=±3

Zero has one square root which is 0.

0–√=0

Negative numbers don't have real square roots since a square is either positive or 0.

If the square root of an integer is another integer then the square is called a perfect square. For example 25 is a perfect square since

±25−−√=±5

If the radicand is not a perfect square i.e. the square root is not a whole number than you have to approximate the square root

±3–√=±1.73205...≈±1.7

The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers. The decimal form of an irrational number will neither terminate nor repeat. The irrational numbers together with the rational numbers constitutes the real numbers.

Example

irrationalnumber⇒19−−√≈4.35889...

rationalnumber⇒0.5=12

The value of c if, The square of a real number c is 11 less than the square of 5 is 3.74.

In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

The square of a real number c is 11 less than the square of 5,

Write the equation as shown below,

c² = 5² - 11

c² = 25 - 11

c² = 14

c = √14

c = 3.74

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The complete question is, The square of a real number c is 11 less than the square of 5, find the value of c?

Answer:

y=-4x+14

Step-by-step explanation:

A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)

Answer:

Step-by-step explanation:

-4/5=-8/10=-0.80

12/100=0.12

0.13=13/100

3/4=75/100=0.75

Answer:

6090

Step-by-step explanation:

Answer:

2 cups of water

Step-by-step explanation:

Answer:

c=4

Step-by-step explanation:

3(c+4)

3c+12

c=4

I hope this is correct and have a great day

Answer:

$63.92

Step-by-step explanation:

Answer:

y=x-5

Step-by-step explanation:

sale price (y) is equal to the original (x) minus five dollars

Answer:

y = x - 5

Step-by-step explanation:

I took the test on A P E X

Answer:

there aren't any options, but anything that's = to 75 will be equivalent to this expression

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

25% of 16 is 1/4x16=4, which leaves D as as your answer

Answer:

d

Step-by-step explanation:

instead of taking away 4 add it until you have 100%

Answer:

Step-by-step explanation:

3x-9<12

You carry the 9 to the other side and do the inverse(opposite of take away

3x<12+9

3x<21

3x/3x

To cancel out the the x you must devide them together and then devide 21÷3

21/3=7

X<7

Answer: x<7 or (-infinity,7)

Step-by-step explanation:

3x-9<12

3x<21

x<7

Answer:

97.50

Step-by-step explanation:

dont have one XD

Answer:           97.50

Step-by-step explanation:

just do 39 divided by 40%

Answer:

19.6

Step-by-step explanation:

there

Answer:

The answer for desert is 34.986 clicks, or 35 clicks rounded up. You get this by multiplying 4.2 and 8.33.

The answer for fuschia is 6 clicks, and you get this by multiplying 0.75 and 8.