15(20−10x)−8x>−6x−16 A. x<1 B.x>1 C x<5 Dx>5

URGENT: Martha is 1 of 5 girls in a backstroke finals of the swim meet. Only the top 2 finishers of the race will receive ribbon

Dima020 [189]

Answer:

50%

Step-by-step explanation:

3 0

3 years ago

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

4 years ago

A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use

lawyer [7]

Answer:

35.32

Step-by-step explanation:

The regression equation usually demonstrated as

y=a+bx.

In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.

The given regression equation is

y^=0.06x+14.2

The predicted value of y can be computed by simply putting the value of x in above equation.

So,

y^=0.06(352)+14.2

y^=21.12+14.2

y^=35.32

Thus, the predicted value of y for x=352 is 35.32.

6 0

4 years ago

If the circumference is 31.4, what are the radius and the area?

jekas [21]

Answer:

radius = 5 units

area of a circle = 15.7units²

Step-by-step explanation:

given that the circumference of a circle = 31.4

radius = ?

recall that the formulae for finding the circumference of a circle = 2πr

circumference of a circle = 2 x 3.14 x r

31. 4 = 6.28r

divide both sides by the coefficient of r which is 6.28

31.4/6.28 = 6.28r/6.28

5 = r

radius = 5 units

therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units

to find the area of the circle

recall the formula = πr²

area of a circle = 3.14 x 5²

area of a circle = 3.14 x 25

area of a circle = 15.7units²

7 0

3 years ago

Someone please help, i honestly don’t get how to find the angles

jeyben [28]

A.) the degrees inside the triangles are 50, 70, and 60. you know because 180-120=60
b.) you know that they are similar triangles because they have the same angle degrees.

im not sure if this is correct but i think it is :)

8 0

3 years ago