A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.93, P(C) = 0.95, and P(D) = 0.92. Find the probability that the machine works properly.A) 0.8128B) 0.2441C) 0.8217D) 0.7559

Answer:

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

__

Additional comment

Using b = c +10000, the two remaining equations are ...

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Answer:

B. False

Step-by-step explanation:

Mass doesn't change when gravitational force changes, but the weight does change.

Answer:

Step-by-step explanation:

True

hope that helps

mark me brill please

Answer:

960 feet

Step-by-step explanation:

30×6=180

180×2=360

50×6=300

300×2=600

360+600=960

Given:

Amount = 60000

Interest rate = 4% per yaer

Find: she have in 9 months.

Sol:.

In 12 month 4% interest rate then amount is:

In 12 month amount is 62400

In 12 mounth amount increasses is 2400

so in 9 month:

After 9 month amount is:

Answer: 0

Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.

Answer:

25

Step-by-step explanation:

5 > x/5

5 × 5 > (x/5) × 5

25 > x

Answer:

60%

Step-by-step explanation: Apologies if incorrect

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

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The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Based on the survey,

b) 1147 students took none of the courses.

c) 593 students took Science or History, but not Psychology.

d) 1022 students took Science or didn't take Psychology.

e) 559 students took Science & Psychology or took Psychology & History.

f) 2 students took Psychology and History, but not Science.

To answer the given questions, we can use the principle of inclusion-exclusion and   the provided information about the number of students taking different courses.

Let's calculate the values  -

a) Total number of students surveyed  -  2399

b) To find the number of students who took none of the courses, we can subtract the total number of students taking at least one   course from the total number of students surveyed  -

Number of students taking at least one course

= 1160 + 1231 +   1108 - 308 - 557   - 564 - 618

= 1252

Number of students taking none of the courses = 2399 - 1252 = 1147

c)

Number of students taking Science only = 1160 - 308 - 564 = 288

Number of students taking History only = 1231 - 308 - 618 = 305

Number of students taking Science or History, but not Psychology

= 288 + 305

= 593

d)

Number of students taking Science = 1160 - 308 - 564 = 288

Number of students not taking Psychology = 2399 - 1108 = 1291

Number of students taking Science or not taking Psychology

= 288 + 1291 - 557

= 1022

e)

Number of students taking both Science and Psychology = 557 - 308 = 249

Number of students taking both Psychology and History = 618 - 308 = 310

Number of students taking Science & Psychology or taking Psychology & History

= 249 + 310

= 559

f)

Number of students taking both Psychology and History = 618 - 308 = 310

Number of students taking Psychology and History, but not Science = 310 - 308 = 2

Therefore

b) 1147 students took none of the courses.

c) 593 students took Science or History, but not Psychology.

d) 1022 students took Science or didn't take Psychology.

e) 559 students took Science & Psychology or took Psychology & History.

f) 2 students took Psychology and History, but not Science.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

A group of 2399 students were surveyed about the courses they were taking at their college with the following results:

1160 students said they were taking Science.

1231 students said they were taking History.

1108 students said they were taking Psychology.

557 students said they were taking Science and Psychology.

564 students said they were taking Science and History.

618 students said they were taking Psychology and History.

308 students said they were taking all three courses.

b) How many students took none of the courses?

c) How many students took Science or History, but not Psychology?

d) How many students took Science or didn't take Psychology?

e) How many students took Science & Psychology or took Psychology & History?

f) How many students took Psychology and History, but not Science

Answer:

Slope of points (5,-5) and (-4,5) is \(\mathbf{-\frac{10}{9} }\)

Step-by-step explanation:

We need to find the slope of points (5,-5) and (-4,5)

The formula used to find slope is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We have \(x_1=5, y_1=-5, x_2=-4 \ and \ y=5\)

Putting values in formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\)

\(Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}\)

So, slope of points (5,-5) and (-4,5) is \(\mathbf{-\frac{10}{9} }\)

Answer:

Step-by-step explanation:

Given:

Proportion of students who are late for class in the population: p = 0.12

Sample size: n = 538

Margin of error: E = 0.03

The standard error of the proportion can be calculated using the formula:

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.12*0.88/538)

SE = 0.019

The margin of error corresponds to a z-score at the 97.5th percentile (since we want the probability of the sample proportion being within 3% of the population proportion in either direction, which gives us a two-tailed test with an alpha level of 0.025 on each side). This z-score can be found using a standard normal distribution table or calculator and is approximately 1.96.

The margin of error can also be calculated using the formula:

E = z*(SE)

0.03 = 1.96*(0.019)

To find the probability that the sample proportion differs from the population proportion by less than 3%, we need to find the area under the standard normal distribution curve between the z-scores of -1.96 and 1.96. This area is equivalent to the probability of the sample proportion being within 3% of the population proportion. This probability can be found using a standard normal distribution table or calculator and is approximately 0.8534.

Therefore, the probability that the proportion of late students in a sample of 538 students would differ from the population proportion by less than 3% is 0.8534 or 85.34% (rounded to four decimal places)

The number of strokes apart from the first to the last place would be = -5

The list of players and their scores from the first place to the last place is as follows;

First place = Kaiser = -1

second place= Jackson = -2

Third place= Lamb = -3

Fourth place = Martinez = -4

Fifth place = Thompson = -6

The number of stroke difference between Kaiser and Thompson = -6-(-1)

= -6+1 = -5.

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Answer:

(70*v^3*u^2)/x

Step-by-step explanation:

(2v^6 * 7u^7 * u^-5 * x * v^-3 * 5 * x^-2)

(2 * 5 * 7) * (v^6 * v^-3) * (u^7 * u^-5) * (x * x^-2)

70 * v^(6 - 3) * u^(7 - 5) * x^(1 - 2)

70 * v^3 * u^2 / x

Answer:

9k/64^2 (9k^2/64^2)

Step-by-step explanation:

Answer:

9k^2/64

Step-by-step explanation:

3*3=9

k*k=k^2

8*8=64

The loan value is $7220 and the annual interest rate is 9.06%

Therefore, the interest value is (9.06/100)*7220 = 0.0906*7220 = $654.13

The monthly payment is (7220 + 654.13)/12 = 7874.13/12 = $656.18

Answer:

I believe the answer is C

Step-by-step explanation:

if its wrong, im sorry an I will delete the answer

Answer:

The measure of angle N is 58 degrees (58°).

Step-by-step explanation:

If angle M is a right angle, it means it measures 90 degrees (90°) since a right angle is always 90 degrees.

In a triangle, the sum of the angles is always 180 degrees (180°). So, we can find the measure of angle N by subtracting the measures of angles L and M from 180 degrees.

Angle L is given as 32 degrees (32°) and angle M is 90 degrees (90°).

Angle N = 180° - angle L - angle M

Angle N = 180° - 32° - 90°

Angle N = 58°

Therefore, the measure of angle N is 58 degrees (58°).

Answer:n= 58 degrees

Step-by-step explanation:

so all u do is 90 “right angle” minus 32 which is 58! Hope this helped!

..

Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

In general, there were more people per table on Tuesday with 8 number of people per table.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.

In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.

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Step-by-step explanation:

y = 1/3 x +4  

       is the equation of a line in the form  

                 y = mx+b      where m =slope   and    b = the y-axis intercept

                           so  m = slope = 1/3   for this line

Answer:

\(\huge\boxed{\sf Slope = 1/3}\)

Step-by-step explanation:

\(\displaystyle y=\frac{1}{3} x + 4\)

y = mx + c

Where m is slope and c is y-intercept.

So,

By comparing both the equations, we get:

m = 1/3

\(\rule[225]{225}{2}\)