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gregori [183]
3 years ago
11

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

1. 169     2. 163      3. 54       4. 221      5. 6         6. 7         7. 11        8. 9

Step-by-step explanation:

Remember the Order of Operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtract

*But always solve from left to right so there can be times where you either have to do division before multiplication or subtraction before addition

1. 14 + <u>18 ÷ 2 </u>x 18 – 7

14+<u>9 x 18</u>-7

<u>14+162</u>-7

176-7

169

2. <u>15 x 10</u> + 12 ÷ 3 + 9

150+<u>12÷3</u>+9

<u>150+4</u>+9

154+9

163

3. <u>8 x 4</u> + 9 – 9 + 18

<u>36+9</u>-9+18

<u>45-9</u>+18

36+18

54

4. 2 - 1 +<u> 5 x 4 </u>x 11

2-1+<u>20x1</u>1

<u>2-1</u>+220

1+220

221

5. 60 – <u>9 x 8</u> ÷ 8 x 6

60-<u>72÷ 8</u> x 6

60-<u>9x6</u>

60-54

6

6. <u>(10 ÷ 5)</u>3 + 100 – 9 x 11

<u>(2)3</u>+100-9x11

6+100-<u>9x11</u>

<u>6+100</u>-99

106-99

7

7. <u>3 x 8</u> x 2 – 42 + 5

<u>24x2</u>-42+5

<u>48-42</u>+5

6+5

11

8. <u>14 ÷ 2</u> -1 + 3

<u>7-1</u>+3

6+3

9

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Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636​, the central limit theorem appl
lakkis [162]

Answer:

a) \bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1

b) P(\bar X >101)=1-P(\bar X

c) P(\bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:  

X \sim N(\mu=100,\sigma=6)  

And let \bar X represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:  

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})  

a. What are the mean and variance of the sampling distribution for the sample​ means?

\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1.2^2=1.44

b. What is the probability that x overbarxgreater than>101

First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:  

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

If we apply this formula to our probability we got this:  

z=\frac{101-100}{\frac{6}{\sqrt{25}}}=0.833  

And we want to find this probability:

P(\bar X >101)=1-P(\bar X

On this last step we use the complement rule.  

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67  

And we want to find this probability:

P(\bar X

5 0
3 years ago
Which numerical setup can be used to calculate the heat energy required to completely melt 100 grams?
BaLLatris [955]

Answer:

Multiplying the mass of ice by the specific latent heat of fusion of ice

Step-by-step explanation:

The heat energy required to completely melt 100 grams can be calculated by multiplying the mass of ice (100g) by the specific latent heat of fusion of ice (336J/g)

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55÷ =5 what is answer​
Andru [333]

Answer:

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Step-by-step explanation:

55÷5= 11

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marta [7]

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the approximate weight of the little girl at an age of 14 years old will be 88 pounds.

Step-by-step explanation:

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Soloha48 [4]

Step-by-step explanation:

David makes 17(25)

and

Linda maked 25(7)

so it would make the equation 17(25)+25(7)

425+175 together they would be making

600 dollars a week

6 0
3 years ago
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