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3 years ago

How do i solve this step by step

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

Answer:

4) x^10

Step-by-step explanation:

1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.

2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.

3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.

4) (x^2*x^4)^4÷x^8

First do what's in the parentheses,

(x^2*x^4) = x^6

Next do the exponents,

(x^6)^3 = x^18

Lastly the division,

x^18÷x^8 = x^10

x^10 is our answer.

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Experience raising New Jersey Red chickens revealed the mean weight of the chickens at

Nikolay [14]

Answer:

p-value = 0.1277

Step-by-step explanation:

p-value is the probability value tell us how likely it is to get a result like this if the Null Hypothesis is true.

Firstly we find the mean and standard deviation of the given data set.

⇒ Mean = $\frac{4.41 +4.37+ 4.33+ 4.35 +4.30 +4.39 +4.36+ 4.38+ 4.40+ 4.39}{10}$

⇒ Mean = 4.368

$Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }$

where, $\bar{x}$ is mean of the distribution.

⇒ Standard Deviation = 0.034

Applying t- test:

Let out hypothesis is:

H₀: μ = 4.35

H₁: μ ≠ 4.35

Now,

Here, μ = Population Mean = 4.35

$\bar{x}$ = Sample Mean = 4.368

σ = Standard Deviation = 0.034

n = 10

$t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all values we get, t = 1.6777 with (10 -1) = 9 degree of freedom.

Then the p-value at 99% level of significance.

⇒ p-value = 0.1277

6 0

3 years ago

. The mean width of 12 iPads is 5.1 inches. The mean width of 8 Kindles is 4.8 inches. a. What is the total width of the iPads?

UkoKoshka [18]

Answer:

a) 61.2, b) 38.4 and c) 4.98

Step-by-step explanation:

Given:

The mean width of 12 I-Pads is 5.1 inches.

The mean width of 8 Kindles is 4.8 inches.

Question asked:

a. What is the total width of the I-Pads?

b. What is the total width of the Kindles?

c. What is the mean width of the 12 I-Pads and 8 Kindles?

Solution:

As we know:

$Mean =\frac{Sum\ of\ observations}{Number\ of\ observations}\\ \\ Mean\ width =\frac{Sum\ of\ width\ of\ all \ I-pad}{Number \ of\ I-pad}$

$5.1=\frac{Sum\ of\ width\ of\ all\ I-pad}{12} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all\ I-pad}=5.1\times1 2\\ \\ Sum\ of\ width\ of\ all\ I-pad}= 61.2$

a) Thus, the total width of the I-Pads are 61.2 inches.

$Mean\ width =\frac{Sum\ of\ width\ of\ all\ Kindles}{Number \ of\ Kindles}$

$4.8=\frac{Sum\ of\ width\ of\ all\Kindles}{8} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all \ Kindles=4.8\times8\\ \\ Sum\ of\ width\ of \ all\ Kindles}=38.4$

b) Thus, total width of the Kindles are 38.4 inches.

Combined width of both I-pad and Kindles = 61.2 + 38.4 = 99.6 inches

Combined number of observations = 12 + 8 =20

Combined mean of width of the 12 I-Pads and 8 Kindles = Combined width of both I-pad and Kindles $\div$ Combined number of observations

Combined mean of width of the 12 I-Pads and 8 Kindles = $\frac{99.6}{20} =4.98\ inches$

c) Thus, the mean width of the 12 I-Pads and 8 Kindles is 4.98 inches.

5 0

3 years ago

Find the product for 1.29 x 5.4 show work please <3.

Afina-wow [57]

Answer:

6.966

Step-by-step explanation:

•Mark how many you have in the d.p

•If there is two or more add them up

•Multiply like normal given numbers

•Write where the decimal point is to be

Hope that helps

4 0

3 years ago

Read 2 more answers

I WILL NAME YOU THE BRAINLIEST!

OlgaM077 [116]

Answer: c=5.4

The two roots are 3/5 and 9/5

Step-by-step explanation:

assume 5x2−12x c=0 is supposed to be 5x^2 - 12x + c = 0

p = (12 + sqrt(144-20c))/10

q = (12 - sqrt(144-20c))/10

p-3q=0,

1.2 + 0.1sqrt(144-20c) +

-3.6 + 0.3sqrt(144-20c) = 0

-2.4 + 0.4sqrt(144-20c) +2.4 = 2.4

sqrt(144-20c) = 2.4/0.4 = 6

144-20c=36

144-36=20c

c = 108/20 = 5.4

5x^2-12x+5.4=0

x = 3/5 or x = 9/5

5 0

3 years ago

Read 2 more answers

Fifteen times the square of a non-zero number is equal to 20 times number.What is the number? Its not 4/3

e-lub [12.9K]

The number is (2√3) / 3

To find the missing number, convert what it says in words to an equation:
$15 {x}^{2} = 20x$
Divide both sides by 15:
${x}^{2} = \frac{20}{15} \\ \\ {x}^{2} = \frac{4}{3}$
Take the square root:
$x = \sqrt{ \frac{4}{3} } \\ \\ x = \frac{2}{ \sqrt{3} } \\ \\ x = \frac{2 \sqrt{3} }{3}$

4 0

3 years ago