Answer:
f=-108
Step-by-step explanation:
f/18=-6
f= -6 x 18
f= -108
Answer:
f=-108
Step-by-step explanation:
Since F divided by 18 is -6, just multiply -6 and 18 to get the answer
Can like someone do this on paper???
It would be helpful is someone awake to do this if so brainlist for that person
Step-by-step explanation:
Im gonna do that now, I'm not very sure how to do it, but I'll try my best
SOMEBODY HELP
Jill bought 7 books more than Sam. If Sam and Jill together have 25 books, find the
number of books Sam has.
Answer:
Jill bought 16 books and Sam bought 9 books
Step-by-step explanation:
Let the number of books that Jill bought be j.
Let the number of books that Sam bought be s.
Jill bought 7 more books than Sam:
j = 7 + s
They bought 25 books altogether:
j + s = 25
Put j = 7 + s into the second equation:
7 + s + s = 25
7 + 2s = 25
2s = 25 - 7 = 18
s = 18/2 = 9 books
Therefore:
j = 7 + s = 7 + 9
s = 16 books
Jill bought 16 books and Sam bought 9 books.
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
What is 0.49 as a fraction?
Answer:
\(\frac{49}{99}\)
Step-by-step explanation:
Having a line above one or more numbers in a decimal states that it is repeating. For example, if you have a line above the decimal 0.6, the full form would be 0.666666... going on infinitely.
Given the information above, divide all numbers by the numerator and denominator to find the decimal.
\(\frac{49}{100}\) = 0.49 (notice it does not have the line above it)
\(\frac{4}{9}\) = 0.444... (repeating)
\(\frac{7}{10}\) = 0.7
\(\frac{49}{99}\) = 0.4949494949... (repeating)
Thus, since the fraction \(\frac{49}{99}\) is a repeated 0.49 as a decimal, it is the answer.
Answer:
A. 49/100
Multiply both numerator and denominator by 10 for every number after the decimal point
0.49 × 100
1 × 100
49/100
Step-by-step explanation:
Hope it help
Brainliest please
You are mailing a package that weighs 6 pounds and sending it first class. The post office charges $0.44 for the first ounce, and charges $0.20 for each additional ounce. How much is the total cost to mail this package?
Answer:
$19.44
Step-by-step explanation:
first you need the conversion for pounds and ounces,
16 oz = 1 lb
therefore the 6 lb package is 6 × 16 = 96 ounces
so the first ounce costs $0.44
the remaining 95 ounces cost .20 per ounce or
.20 × 95 = $19
therefore the total cost is $19 + $0.44 = $19.44
Divide. round your answer to the nearest hundredth 89.881.57÷5
Answer:
1797631.4
Step-by-step explanation:
yeh
A circles circumference is approximately 76cm. Estimate the radius, diameter and area of the circle.
Answer:
The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.
For example):
Finding diameter - 76/3.14 = 24.19 (d)
Finding radius - 24.19/2 = 12.095 (r)
EDIT: (C) Means Circumference
To determine whether or not they have a certain disease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Assume the probability that a person has the disease is 0.09 for all people, independently of each other.
Compute the expected number of tests necessary for each group.
Expected number for each group:
For f(x) = 1/2x² + 3x, find each of the following. Find the average rate of change from x = 5 to x = 5 + h, where we will
assume h>0. Show your work.
The average rate of change for the function from x = 5 to x = 5 + h is 0.5h + 8
How to determine average rate of change of an equation?The average rate of change of a function is the ratio of the change in the dependent variable (y) to the change in the independent variable (x) over a certain interval. In other words, it is the average slope of the function over that interval.
The average rate of change of an equation can be determine by using the formula below:
average rate of change = (f(x₂)- f(x₁)) / [x₂- x₁]
From the given information, f(x) = f(x) = 1/2x² + 3x, x₁ = 5 , x₂ = 5+h
average rate of change = ([1/2*(5+h)² + 3(5+h)] - [1/2*(5)² + 3(5)]) / ((5+h)-5)
= [0.5*(25+10 +h²) + 15+3h)] - [27.5]) / (h)
= (12.5+50 +0.5h² + 15+3h - 27.5) / (h)
= (0.5h² +8h) / (h)
= h(0.5h +8) / (h)
= 0.5h + 8
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I need help ASAP !!!!!
Answer:
the answer is -352..........
NEED HELP ASAP
Which point represents the center of the circle shown below?
Answer:
Point O represents the center of the circle
Step-by-step explanation:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
30 points !
Please answer the question in the picture
Answer:
thatl be 5
Step-by-step explanation:
please help what is the value of
tan^2(180-tetha)
Answer:
1/cos^2(180-theta) - 1
Step-by-step explanation:
According to trigonometry identity
tan^2 theta + 1 = sec^2 theta
tan^2 theta = sec^2 theta - 1
hence tan^2(180-tetha) = sec^2 (180 -theta) - 1
tan^2(180-tetha) = 1/cos^2(180-theta) - 1
Hence the value of tan^2(180-tetha) is 1/cos^2(180-theta) - 1
Reduce to Standard form : (a) -21/91 (b) 32/(-256)
Answer:
a) -3/13
b) -1/8
Step-by-step explanation:
a) - (21 / 7) / (91 / 7) = 3/13
b) (32 / 32 ) / - (256 / 32) = -1/8
Sally owns a restaurant in Wooville. The city is trying to get a minor league team to move there in 2021, either to location A (near her restaurant) or location B. The team might stay in location C in another city. The probability of these events, and her estimated annual profit in 2021 are shown in the table below.
The standard deviation of the restaurant profits in 2021 is given by $71181.
Restaurant profit for outcome 'move to A' = $ 260000
Restaurant profit for outcome 'move to B' = $ 120000
Restaurant profit for outcome 'stay in C' = $ 100000
The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.
Standard deviation of the restaurant profits in 2021 is given by
= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)
= $ √(((100000)² + (40000)² + (60000)²)/3)
= $ √(15200000000/3)
= $ √5066666667
= $ 71181 (rounded to the nearest dollar)
Hence standard deviation of the restaurant profits in 2021 is given by $71181.
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The question is incomplete. The complete question will be -
Which is not a correct way to represent the relation "the second number is 1 less than three times the first number"?
y=1 - 3x
y= 3x + (-1)
y= -1 + 3x
y= 3x - 1
Answer:
3x-1
Step-by-step explanation:
Answer:
y = 3 x - 1
Step-by-step explanation:
The question is on equivalent expressions and properties of addition
Answer:
Since 2x represents 2 • 0, and since 6x represents 6 • 0, the answer to your math problem (on the drop down bar) is 0 and 0. Therefore the complete equation would be: 2x + 6x = 2 (0) + 6 (0).
Hope this helped!!
Please need help with one
Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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If the true mean is 50 and we reject the hypothesis that μ = 50, what is the probability of Type II error? Hint: This is a trick question.
Answer:
Zero
Step-by-step explanation:
Given that:
the true mean is 50 and we reject the hypothesis that μ = 50
The probability of the Type II error will be zero, given that we reject the null hypothesis. This has nothing to do with if it is true or false.
Type II error is occurs when you accept a false null hypothesis. The probability of this error is denoted by beta which relies on sample size and population variance.
The probability of rejecting is equal to one minu beta. i.e it is the researchers goal to reject a false null hypothesis.
A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the height, to the nearest foot, at a time of 10.4 seconds.
Answer:
1.61.6 248248
Step-by-step explanation:
Carlos read 150 words in one minute. He
read 5 times as many words as his younger
brother. How many words did his younger brother
read in one minute?
Answer:
30
Step-by-step explanation:
150/5 = 30
Answer: 30
Step-by-step explanation:
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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I need help with this question
- 7x - 5y = 36
x = 2y + 3
Answer:
Solution
\(x = - 3,\: y = -3\)
Step-by-step explanation:
If the objective is to solve for the system of equations
- 7x - 5y = 36 [1]
x = 2y + 3 [2]
Then the process is as follows
Substitute x = 2y + 3 from eq [2] in eq [1] : -7 x- 5y = 36Over what interval is the graph of f(x) = -(x + 3)? - 1 decreasing?
the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The given function is:
f(x) = -(x + 3) - 1
To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.
The derivative of the function is:
f'(x) = -1
The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.
Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
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A machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%). Prior to shipment produced parts are passed through an automatic inspection machine, which is supposed to be able to detect any part that is obviously defective and discard it. However, the inspection machine is not perfect. A part is incorrectly identified as defective and discarded 2% of the time that a defect free part is input. Slightly defective parts are marked as defective and discarded 40% of the time, and obviously defective parts are correctly identified and discarded 98% of the time.
Required:
a. What is the total probability that a part is marked as defective and discarded by the automatic inspection machine?
b. What is the probability that a part is 'good' (either defect free or slightly defective) given that it makes it through the inspection machine and gets shipped?
c. What is the probability that a part is 'bad' (obviously defective) given that it makes it through the inspection machine and gets shipped?
Answer:
(a) 0.0686
(b) 0.9984
(c) 0.0016
Step-by-step explanation:
Given that a machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%).
Let A, B, and C be the events of defect-free, slightly defective, and the defective parts produced by the machine.
So, from the given data:
P(A)=0.90, P(B)=0.03, and P(C)=0.07.
Let E be the event that the part is disregarded by the inspection machine.
As a part is incorrectly identified as defective and discarded 2% of the time that a defect free part is input.
So, \(P\left(\frac{E}{A}\right)=0.02\)
Now, from the conditional probability,
\(P\left(\frac{E}{A}\right)=\frac{P(E\cap A)}{P(A)}\)
\(\Rightarrow P(E\cap A)=P\left(\frac{E}{A}\right)\times P(A)\)
\(\Rightarrow P(E\cap A)=0.02\times 0.90=0.018\cdots(i)\)
This is the probability of disregarding the defect-free parts by inspection machine.
Similarly,
\(P\left(\frac{E}{A}\right)=0.40\)
and \(\Rightarrow P(E\cap B)=0.40\times 0.03=0.012\cdots(ii)\)
This is the probability of disregarding the partially defective parts by inspection machine.
\(P\left(\frac{E}{A}\right)=0.98\)
and \(\Rightarrow P(E\cap C)=0.98\times 0.07=0.0686\cdots(iii)\)
This is the probability of disregarding the defective parts by inspection machine.
(a) The total probability that a part is marked as defective and discarded by the automatic inspection machine
\(=P(E\cap C)\)
\(= 0.0686\) [from equation (iii)]
(b) The total probability that the parts produced get disregarded by the inspection machine,
\(P(E)=P(E\cap A)+P(E\cap B)+P(E\cap C)\)
\(\Rightarrow P(E)=0.018+0.012+0.0686\)
\(\Rightarrow P(E)=0.0986\)
So, the total probability that the part produced get shipped
\(=1-P(E)=1-0.0986=0.9014\)
The probability that the part is good (either defect free or slightly defective)
\(=\left(P(A)-P(E\cap A)\right)+\left(P(B)-P(E\cap B)\right)\)
\(=(0.9-0.018)+(0.03-0.012)\)
\(=0.9\)
So, the probability that a part is 'good' (either defect free or slightly defective) given that it makes it through the inspection machine and gets shipped
\(=\frac{\text{Probabilily that shipped part is 'good'}}{\text{Probability of total shipped parts}}\)
\(=\frac{0.9}{0.9014}\)
\(=0.9984\)
(c) The probability that the 'bad' (defective} parts get shipped
=1- the probability that the 'good' parts get shipped
=1-0.9984
=0.0016
A publishing company pays its sales staff $600 a week plus a commission of $0.50 per book sold. For example, a salesman who sold 440 books last week earned 600 +0.50(440) = $820The table shows summary statistics for the number of books the large sales staff sold last week. Fill in the table to show the statistics for the pay these people earned The newest employee had a pretty good week. Among all the salespeople her pay corresponded to a z-score of +1.80. What was the z-score of the number of books she sold?
The z-score of the number of books the newest employee sold is +1.80.
To find the z-score of the number of books the newest employee sold, you will need to know the mean and standard deviation of the number of books sold by the sales staff. You can then use the following formula to calculate the z-score:
z-score = (observation - mean) / standard deviation
Plugging in the values given in the problem, we get:
z-score = (number of books sold - mean) / standard deviation = (+1.80 - mean) / standard deviation
Solving for the number of books sold, we get:
number of books sold = mean + (z-score * standard deviation) = mean + (+1.80 * standard deviation)
number of books sold = +1.80
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A certain type of golfball is tested by a robot that hits the ball with a consistent impact force. The distances this type of ball travels in this test are normally distributed with a mean of 195195195 meters and a standard deviation of 555 meters. Suppose that quality control experts regularly collect random samples of 252525 distance measurements and calculate the sample mean distance in each sample. Assume that the measurements in each sample are independent. What will be the shape of the sampling distribution of the sample mean distance
Answer:
Approximately normal
Step-by-step explanation:
Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.
The shape of the sampling distribution of the sample mean distance is approximately normal
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5
meters.
Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample
When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.
Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.
Hence, the shape of the sampling distribution of the sample mean distance is approximately normal
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I GIVE BRAINLIEST!!
Look at the photo attached and answer!
Answer:
a, and b are your answers
explanation: plug them in