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Answer:

(8,-2)

Step-by-step explanation:

270 counterclockwise is the same as 90 clockwise. Rotate on a graph.

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:

11.4

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]

Answer:

10=10

Step-by-step explanation:

_1(12)+14=2(12)+2

3.

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

Answer:

[tex]\dfrac{-5}{3}[/tex]

Step-by-step explanation:

We need to solve the given expression in the lowest form i.e.

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]

We know that,

[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]

So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].

Answer:

1/48 or .2083

Step-by-step explanation:

dividing by 6 is the same as multiplying by 1/6, so if you multiply 1/8*1/6 you get 1/48

Answer: Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

1/48

Decimal Form:

0.02083

Answer:

rotational symmetry of 60 degrees around the origin - yes

rotational symmetry of 120 degrees around the origin - yes

Step-by-step explanation:

A regular hexagon has 6 congruent angles

the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.

The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6

Here is a visual from basic-matematics

Answer:

x =16, y = 151.2

Step-by-step explanation:

Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,

[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]

Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,

[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]

Step-by-step explanation:

Area = 1/2 x b x h

= 1/2 x 9 x 10

= 45 cm ^2

As it has 6 faces, we multiply the area by 6

45 x 6 = 270 cm^2

Answer:

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

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]

20% of the residents in a certain state support an increase in the property tax. Sample of 400.

This means that [tex]p = 0.2, n = 400[/tex]

Mean and standard deviation:

Mean [tex]\mu = p = 0.2[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So

X = 0.24

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]

[tex]Z = 2[/tex]

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

X = 0.16

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

[tex]Z = \frac{0.16 - 0.2}{0.02}[/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 of the resulting sample proportion being within .04 of the true proportion

Answer:

65

Step-by-step explanation:

13x5 = 65

Answer:

The answer is 65 lol

Step-by-step explanation:

Hopefully this helps

Answer:

sorry 2458946547165874%

Step-by-step explanation:

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

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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:

The answer would be 9,

Step-by-step explanation:

because it is closer to 9 than 8.

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:

C.

Step-by-step explanation:

The word biodiversity means the variety of life and in this case, bats

Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed

hope this helps <3

Answer:

Congruent

Step-by-step explanation:

Answer:

Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Step-by-step explanation:

Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:

Phil: 4 - 1/4 = 3/4 = 0.75

Darren: 7 - 3/7 = 4/7 = 0.57

Alice: 8 - 1/8 = 7/8 = 0.875

Smooth: 5 - 1/5 = 4/5 = 0.8

Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Answer:

804.25 or based on the choices 803.8

Step-by-step explanation:

Answer:

804.25

Step-by-step explanation:

so the closest thing to that is 803.8

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:

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: i think c

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

x+120+36=180

x+156=180

x=180-156

x=24

Answer:

33cm

Step-by-step explanation:

You need to add up all the sides