the measures of the angles of a triangle are shown in the figure below. solve for x ​

Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990

P(BLWB) = 4/99

Finally, we shall determine the probability that they are of different color. This can be obtained as follow:

P(WBLB) = 4/99

P(WBBL) = 4/99

P(BBLW) = 4/99

P(BWBL) = 4/99

P(BLBW) = 4/99

P(BLWB) = 4/99

Probability that they are of different color =?

Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)

= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99

= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

Answer:

16:6

Step-by-step explanation:

96:36

Highest common factor is 6

divide both sides by 6

16:6

Answer:

The correct answer is 3x

Step-by-step explanation:

Add 2x and x

~Hoped this helped~

~Brainiliest, please?~

Answer:

C

Step-by-step explanation:

it's rational because 6.24 can be 68/33

sorry if I'm wrong!!

Answer: B

Step-by-step explanation:

2(—2) + 10 = 6.

2(0) + 6 = 6.

2(2) + 2 = 6.

2(4) + (—2) = 6

Answer:

The domains are the X's, so 5, 3, 4, and 2

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

3 times 2 and x in each row

which equals to 6 and 3x

The solution is, 0.39 = 39% of probability.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.

In the problem given, P(A) = yes and P(B) = male, then:

P(yes) = 33/100

          = 0.33

P(male) = 20/100

            = 0.20 (all male that answered the question)

P(yes and male)

= 14/100

= 0.14 (all male that answered yes to the question)

P(yes or male) = P(yes) + P(male) - P(yes and male)

                        = 0.33+0.20-0.14

                        = 0.39

                        =39%

Hence, The solution is, 0.39 = 39% of probability.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Complete question:

One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?

Answer:

has to be under / or -13 so ...

x = -6

3(-6) + 5 =

-21 + 5 = -13

Answer: 6 plus 15 and give me brainlest

Step-by-step explanation:

Answer:

complementary angles add to 90°

create an equation for both of the angles:

90= 3x + 10 + x

solve for x by combining like terms:

90= 4x + 10

solve for x by removing 10 from both sides:

80= 4x

solve for x by dividing by 4 on both sides:

20=x

and you get your answer of x=20

To check your answer plug in 20 for x in the equation above:

90= 3(20) + 10 + 20

90= 60 + 30

90=90

Answer:

A two-tailed test.

Step-by-step explanation:

ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.

In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.

Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.

Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.

A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.

Answer:

-3 (x - y)

expand

-3.(x)  -3 (-y)

-3.(x)  +3 (y)  multiplication of (-1).(-1) = (+1)

Step-by-step explanation:

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

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.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that [tex]\mu = 650, \sigma = 20[/tex]

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

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

[tex]Z = \frac{620 - 650}{20}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

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

[tex]Z = \frac{700 - 650}{20}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Answer:

Step-by-step explanation:

f(x) = x² is an up-opening parabola with vertex (0,0). There is one x-intercept, and that is the vertex.

g(x) = x²-7 is the equivalent to f(x) shifted down 7 units. Since the vertex is below the x-axis and the parabola opens upwards, it intercepts the x-axis at two points.

Answer:

Hope this will help you.

Answer:

50

Step-by-step explanation:

Using proportions, it is found that the number of toys that is likely to be defective in a sample of 500 is given by:

C: 50

A proportion is a fraction of a total amount.

For the samples of 10, the mean number of errors is of:

( 0 + 2 + 1 + 1 + 2 + 0)/6 = 1

Hence, for samples of 500, the expected number of defective toys will be given by:

E = (500/10) x 1 = 50

Hence, option C is correct.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

Answer:

Wrong

Step-by-step explanation:

200%18=11.11111111

Answer: Jackie is incorrect

Step-by-step explanation:

Because 200/18 = 11.1111111111

Answer: Yes, it is.

Step-by-step explanation:

Sorry, I just know the answer because I just did this in school. Like- right now

Answer:

A: 8

Step-by-step explanation:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case

Answer:

9.1

Step-by-step explanation:

Tangent 33=x/14

x=14*Tan 33

x=9.1(nearest tenth)

Answer:

Part A

There is sufficient statistical evidence to suggest that the difference between the proportion of White students exposed to poverty is likely due to something beside chance

Part B

There is sufficient statistical evidence to suggest that the difference between the proportion of Black students exposed to poverty is likely due to something beside chance

Step-by-step explanation:

Part A

The given data are;

The percent of White students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 30%

The number of White students in the district in 2,000, n₁ = 5184

The percent of White students exposed to school poverty in 2,015, [tex]\hat p_2[/tex] = 47.8%

The number of White students in the district in 2,015, n₂ = 7,306

The significant level, α = 0.05

The confidence level = 1 - α/2 = 1 - 0.05/2 = 0.975

The critical z at 0.975 confidence level, [tex]Z_c[/tex] = 1.96

The null hypothesis, H₀; [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]

The null hypothesis, H₀; [tex]\hat p_1[/tex] ≠ [tex]\hat p_2[/tex]

The Z test is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Therefore, we have;

[tex]Z=\dfrac{0.3 - 0.478}{\sqrt{0.3 \cdot (1-0.3)\left (\dfrac{1}{5184}+\dfrac{1}{7306} \right )}} = -21.3894[/tex]

Given that the actual Z is much larger than the critical Z, we reject the null hypothesis that the difference between the proportion of White students is likely due to something other than chance

Part B, we have;

The percent of black students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 34.5%

The number of black students in the district in 2,000, n₁ = 1035

The percent of black students in the district in 2,015, [tex]\hat p_2[/tex] = 76.1%

The number of black students in the district in 2,000, n₁ = 2037

[tex]Z=\dfrac{0.345 - 0.761}{\sqrt{0.345 \cdot (1-0.35)\left (\dfrac{1}{1,035}+\dfrac{1}{2,037} \right )}} =-22,925[/tex]

Similarly, due to the large value of Z compared to [tex]Z_c[/tex], there must be other variables responsible for the difference in proportion

Answer:

65

Step-by-step explanation:

13x5 = 65

Answer:

The answer is 65 lol

Step-by-step explanation:

Hopefully this helps

Answer:

5 petals per purple orchid

Step-by-step explanation:

because if they all have the same amount of petals then you divide the total petals (50) by the number of orchids (10) and get the (5) orchid petals per purple orchid.

Answer:

wheres the graph if u show me the graph ill be glad to help u

Step-by-step explanation:

Answer:

A circle graph

Step-by-step explanation:

This only applies if the question means a pie chart when it says "circle graph".

Answer:

[tex]2\sqrt{2} :1[/tex]

Step-by-step explanation:

This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279

That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.

So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].

Answer:

The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The probability of a resistor’s being defective is x:

This means that [tex]\mu = nx[/tex], in which n is the number of resistors.

The resistors are sold in lots of 200

This means that [tex]n = 200[/tex], so [tex]\mu = 200x[/tex]

What is the probability that a given lot will violate this guarantee?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = \frac{e^{-200x}*(200x)^{0}}{(0)!} = e^{-200x}[/tex]

So

[tex]P(X \geq 1) = 1 - e^{-200x}[/tex]

The probability that a given lot will violate this guarantee is [tex]1 - e^{-200x}[/tex], in which x is the probability of a resistor being defective.

Answer:

The supplementary angle is 137.11.

Step-by-step explanation:

180-42.89 = 137.11

Hope this helps!