An industrial machine produces widgets, but it has a 0.07 detective rate. What is the probability that the machine produces fewer than 5 detective widgets in a production run of 100 items?

Answer: x-4>-9 or x-4<9

Step-by-step explanation:

The correct option for the given inequality is x-4>-9 or x-4<9

A relationship between two expressions or values that are not equal to each other is called inequality.

Given an inequality, |x-4| < 9

Using the rule, if |x| < a then, -a < x < a.

Therefore,

|x-4| < 9

-9 < x-4 < 9

x-4 > -9 or x-4 < 9

Hence, The correct option for the given inequality is x-4>-9 or x-4<9

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Answer:

diagonally.

Step-by-step explanation:

the vertices are the corners or angles. square has four angles. if you have to divide it in half by connecting 2 vertices, then you would just need to draw a line from one corner, diagonally to another corner. you have 2 halves that are equilateral triangles. think about a grilled cheese sandwich cut in half. make sense?

Answer:

answer: 85

Step-by-step explanation:

These add up to 360 and

85 + 85 + 95 + 95 = 360 so 85 is the answer.

Hope that helps!

Answer:

A=wl=4·7=28 answer is 28

Step-by-step explanation:

Answer:

the answer is 28

Step-by-step explanation:

you do lengthh times width

the length is 7 the width is 4

so 7 times 4 is 28

Answer:e

Step-by-step explanation:

-(5/3)=-5/3

Answer:

this may help you.look it once

Step-by-step explanation:

.

Answer:

68% of the population will have a height between 64 and 72 inches

Step-by-step explanation:

According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches

Answer:

mean = 10.2 minutes

median = 9.5 minutes

Step-by-step explanation:

To find the mean, add up all of the results and then divide by the number of students in the sample. Therefore, the work should look like this: 15+8+7+7+11+13=61  --> 61/6=10.1666667

To find the median, order the results from least to greatest and then notice which number is the middle value. Since there is an even number of students in the sample, you will find that both 8 and 11 are the middle values when you put them all in numerical order (7, 7, 8, 11, 13, 15). Therefore, you must find the average of those two number in order to get the median. (8+11=19 --> 19/2=9.5)

9514 1404 393

Answer:

  (b)  B = 72.90, C = 52.1°, C = 11.6; B = 107.1°, C = 17.9°, c = 4.5

Step-by-step explanation:

Sometimes, the best way to answer a multiple-choice question is to see which choices are self-consistent.

__

Side lengths and their opposite angle measures in a triangle have the same ordering, least to greatest. It is informative to look at the answer choices with this in mind.

1a. C < A < B; a < c < b . . . . inconsistent

2a. C < A < B; c < a < b.

2b. C < A < B; c < a < b . . . . consistent

3a. B < A < C; c < a < b . . . . inconsistent

4a. B < A < C; a < c < b . . . . inconsistent

Only answer choice 2 is self-consistent. It is the correct one.

Answer:

here are the cordinates you need to mark :

Step-by-step explanation:

(1,15) : 1x,15y

(2,20) : 2x,20y

(3,35) : 3x,35y

(4,45) : 4x,45y

(5,70) : 5x,70y

Hope this helps :)

Answer:

A) 5 in

B) 3.93 in

C) 11.8 in

Step-by-step explanation:

A) 10π/π = 10in diameter

10/2 = 5 in radius

B) 10π/8 = 3.93 in

C) 3.93 x 3 = 11.8 in

Answer:

B, C and F

Step-by-step explanation:

Negative numbers go farther and father to the left on a number line the higher in value they get.

Answer:

x=13

Step-by-step explanation:

18-5=13. You have to subtract 5 from 5 itself and then 18.

Answer: 33

Step-by-step explanation: When a tangent and radius intersect (as in the diagram) they will always be perpendicular. And using the Triangle Sum Theorem that all angles add up to 180 when get that m<BCA must be 33 degrees.

Answer:

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

Step-by-step explanation:

At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.

Uniform probability distribution:

Has two bounds, a and b. The probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Red for 60 seconds

So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, [tex]a = 0, b = 60[/tex]

Probability that he will have to wait at a red light for more than 15 seconds?

[tex]P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75[/tex]

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

Answer:

answer: m = 125

Step-by-step explanation:

parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!

Step-by-step explanation:

here's your solution

==> sum of corresponding angles of parallelogram = 180°

==> angle J + angle k = 180°

==> 55° + k = 180°

==> k = 180° - 55°

==> k = 125°

[tex]hope \: it \: helps[/tex]

Answer:

Hello! answer: 4, 8

Step-by-step explanation:

Remember x is before y so we go to 4 then up 8 hope that helps!

Answer:

A

Step-by-step explanation:

The equation is V=4/3 times Pi times radius^3

Answer:

A, Yes, the null hypothesis can be rejected at the significance level α = 0.05, because 100 is not contained in the 95% confidence interval.

Step-by-step explanation:

Answer:

The monthly payments of said financing plan will be $8.33.

Step-by-step explanation:

To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:

100/12 = X

8.33 = X

Therefore, the monthly payments of said financing plan will be $8.33.

Answer:

area = 5

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

59.2/100x250

Answer:

27 cents

Step-by-step explanation:

10% of 90= 9

9x3=27

Answer:

p x t x r / 100

90 x 10 x 3 / 100

=27

Answer:

The test statistic is [tex]z = -0.28[/tex]

Step-by-step explanation:

First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.

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]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A random sample of children in two different schools found that 16 of 40 at one school

This means that:

[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]

13 of 30 at the other had this infection.

This means that:

[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]

Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.

At the null hypothesis, we test if there is no difference, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

And at the alternate hypothesis, we test if there is difference, that is:

[tex]H_a: p_1 - p_2 \neq 0[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]

Value of the test statistic:

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

[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]

[tex]z = -0.28[/tex]

The test statistic is [tex]z = -0.28[/tex]

Answer:

30%

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