Find the value of x.

Please help and can somebody tell me how to find x?

Answer:

66.5

Step-by-step explanation:

64+69=133

133÷2=66.5

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The machine is known to have 99 green balls and 78 red balls.

This means that [tex]p = \frac{99}{99+78} = 0.5593[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.5593[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373[/tex]

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.61 - 0.5593}{0.0373}[/tex]

[tex]Z = 1.36[/tex]

[tex]Z = 1.36[/tex] has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

Answer:

D) 290

Step-by-step explanation:

w = 5

l = 12

h = 5

Formula:

SA = 2(wl + hl + hw)

SA = 2(5*12 + 12*5 + 5*5)

SA = 2(60 + 60 + 25)

SA = 2(145)

SA = 290

Answer:

3 lb = $6.90

2 lb = $4.30

5 lb = $11.50

Step-by-step explanation:

Answer:

The cost of 3 apples: $6.90

The cost of 2 apples: $4.60

The cost of 1 apple: $2.30

Step-by-step explanation:

2.30 times 3 equals $6.90

2.30 times 2 equals $4.60

2.30 times 1 equals $2.30

Side Note:

hope this helps have a nice day :)

Answer:

.

Step-by-step explanation:

9514 1404 393

Answer:

  -3/4, 3

Step-by-step explanation:

The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.

  -4x -3 = 0   ⇒   x = -3/4

  x -3 = 0   ⇒   x = 3

The zeros of the function are -3/4 and 3.

Answer:

esto es correcto, la y sigue siendo la misma

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

y = 4

Por que y siempre es equitativo a cuatro.

Perdón por los errores en mi español. Es mi segundo idioma.

Answer:

f(-1) = -3

Step-by-step explanation:

(Assuming {2} is ^2)

f(-1) = 3(-1)² + 4(-1) - 2

= 3(1) - 4 - 2 = -3

Answer:

37

Step-by-step explanation:

If 30 questions is 79% of the test, then you would need to divide 30/0.79(79%), which equals 37 questions in total on the test.

Answer:

345 miles

Step-by-step explanation:

So we know that 2 cities are 5.75 inches apart on the map and the scale reads for every 0.5 inch its 30 miles. So we can first start of by diving 5.75 by 0.5, since we need to know how many “0.5” inches are in 5.75 inches. You’d get 11.5. Now 11.5 multiply that by 30 which would get you 345 miles.

Answer:

Green line: y = 5x + 2

Red line: y = 3x + 3

Purple line: y = 2x + 3

Step-by-step explanation:

1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.  

Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.

2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.  

Now, find the slope of one of the lines in the graphs. To do so, use the slope formula,  [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the  chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):

[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]

So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].

The Matching is:

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We know the slope- intercept form

y= mx+ b

where m is the slope.

For y= 5x+ 2 the slope is 5.

and, for y= 3x+ 3 the slope is 3.

and, for y= 2x+ 3 the slope is 2.

For Graph 1, the slope is 5/1= 5

and, For Graph 2, the slope is 6/2= 3

and, For Graph 3, the slope is 6/3 = 2

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

I think it's 1.5 I'm not sure ._.

Answer:

1/3

Step-by-step explanation:

Total students = 36

No of boys = 24

No of girls = 36 - 24 = 12

Probability of selecting a girl = 12/36 = 1/3

Answer:

275 hamburgers was sold on Friday

Step-by-step explanation:

Let's simplify step-by-step.

−3p3+5p−2p2−4−12p+5−−8p3

=−3p3+5p+−2p2+−4+−12p+5+8p3

Combine Like Terms:

=−3p3+5p+−2p2+−4+−12p+5+8p3

=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)

=5p3+−2p2+−7p+1

Answer:

=5p3−2p2−7p+1

Answer:

eat

Step-by-step explanation:

eat

Answer:

2q-10

Step-by-step explanation:

The product of 2 and q is 2q and ten fewer than that 2q-10

Answer:

B

Step-by-step explanation:

Answer:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Step-by-step explanation:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Answer:

Step-by-step explanation:

Answer:

These two equations produce a similar graph because they both share the same slope: 2. The only difference is that the y-intercept for the second equation is a positive 7, making the graph shift upwards. Other than this, both equations would be parallel (and identical) on the graph.

Answer:

h = [tex]\frac{- 275}{12}[/tex]

Step-by-step explanation:

85 = 360 + 12h

85 - 360 = 360 - 360 + 12h

- 275 = 12h

- 275 ÷ 12 = 12h ÷ 12

h = - 275/12

Answer:

Don't know if this is right but it should maybe be y= x+3+x+2-x+5 because You cant have a negative in absolute values.

Answer:

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.

This means that [tex]\mu = 20, \sigma = 5[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]

What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?

This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So

X = 21

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{21 - 20}{0.5}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 19

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{19 - 20}{0.5}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Answer:

C

Step-by-step explanation:

In D, the x value repeats

Answer:

C

Step-by-step explanation:

C has a positive then negative slope, while D can't even be a function.

I hope this helps :)

Answer:

the use of a series of numbers with a unique origin indicated by the number zero.

Step-by-step explanation:

In Science, mapping experiment refers to an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Origin, one of the four characteristics of mapping rules, refers to the use of a series of numbers with a unique origin indicated by the number zero.

In Mathematics, the origin is generally chosen to start from zero on a graph that gives the relationship between two variables.

Answer: b

Step-by-step explanation: the answer is got was 1.166666