This problem seems like a lot when you read through it, but when you start to analyze the problem, the whole first line is extra information that we don't actually need. The part we really need to pay attention to is:
"p = qr - f, write the equation with q solved in terms of p, r, and f."
So, all we are doing here is some manipulating of the equation to get what we want. So, if p = qr - f, we can isolate the variable (q), to get p + f = qr. Now all we have to do is divide both sides by r to isolate the variable (q) even further, and we get [tex]$\frac{p+f}{r}=q$[/tex] or [tex]$r=\frac{p+f}{r}$[tex]
Look at photo and answer.
Answer:
h.
[tex] \frac{9 {x}^{10}(y. {x}^{3}) {}^{2} }{y.x(3 {x}^{3}) {}^{3} } \\ \\ = \frac{9 {x}^{10}(y {}^{2} )( {x}^{6} ) }{3y. {x}^{10} } \\ \\ = \frac{ {3}^{2} {x}^{16} {y}^{2} }{3y {x}^{10} } \\ \\ = 3y {x}^{6} [/tex]
j.
[tex] \frac{(3x. {y}^{7} ) {}^{2}. {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{3 {x}^{2} . {y}^{14} . {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{ {3x}^{7} {y}^{14} }{3 {x}^{7} {y}^{4} } \\ \\ = {y}^{10} [/tex]
Aubrey's dinner cost $85. She tips the waitstaff 30%, for excellent service.
How much does Aubrey tip the waitstaff?
PLSSS HELP HERES IMAGEEE
[tex]\text{(H, A and S), (Y, D and T) and (H, D and S)}[/tex]
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 70 and a standard deviation of 10.How many different samples of size 5 can be taken from a finite population of size 10?
252 different samples can be taken.
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The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
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Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
-------------------------
In this question, samples of 5 from a set of 10, so:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
252 different samples can be taken.
A similar question is given at https://brainly.com/question/24278448
If 2 variables have a negative correlation, then the slope of the line of best fit will be ______.
Some plumbers charge a base rate plus an hourly rate for their services. The rates of two plumbers are shown in the table.
Base Rate Hourly Rate
Plumber A $35.00 $15.00
Plumber B $40.00 $12.00
To the nearest minute, at what amount of time does Plumber A become more expensive than Plumber B?
x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.
What is the equation?The equation is the relationship between variables and is represented as y = ax+b is an example of a polynomial equation.
Let the hours be x and the hourly rate is y.
Now the data given in the table is calibrated into the equation.
The equation for A,
y = 15x + 35 - - - - - (1)
The equation for B,
y = 12x + 40 - - - - - - (2)
Solving equations 1 and 2
15x + 35 = 12x + 40
3x = 5
x = 5/3
x = 1.67 hour
Now put it on equation 2 and equation 1
y(B) = 12 * 1.68 + 40
y (B)= $60.1
y(A) = 12 *1.68 + 35
y(A) = $60.2
Thus, x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.
Learn more about the equation here:
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a principal of $1500 is invested at 5.5 interest compounded annually. how much will the investment be worth after 7 years
Answer:
Step-by-step explanation:
1500(1.055)^7= 2182.02
I am smaller than 7 and I have two decimal places. I am 7 when rounded to the nearest whole number. The digit in the tenths places is an even number. The digit in the hundredths places is greatest 1 -digit odd number. None of my digits are repeated. What number am I ?
Answer:
6.89
Step-by-step explanation:
Well, the number is smaller than 7 so it's 6 or less.
It's 7 when rounded up so it's got to be 6.__
The digit after 6 has to be even and has to be larger than 5 so it's either 6 or 8
The hundredths place digit is the greatest 1-digit odd number which is 9.
6.69 or 6.89 but since none of the digits can be repeated, it's 6.89
Answer:
555
Step-by-step explanation:
hope it may be help you
pls help !
hopefully you can read the whole thing :))
Answer:
answer is A
Step-by-step explanation:
option A is the answer
Suppose that 22 inches of wire costs 66 cents.
At the same rate, how much (in cents) will 17 inches of wire cost?
cents
Х
?
Answer:
51 cents for 17 inches of wire
Step-by-step explanation:
22 = 66
17 = x
22x = 66 * 17
22x = 1122
x = 51 cents
or
22 inches costs 66 cents
1 inch costs 3 cents (66 / 22 = 3 cents)
17 inches costs 51 cents (17 * 3 = 51 cents)
least to greatest -10,3,-0.5,5/16
Solve for x
X=In sqrt e
Step-by-step explanation:
e = 2.7182818 so you can just plug that in to your calculator and solve like normal
1. 3m into cmcube fi. 15m into liter please urgent
Answer:
3m=300cm.
15cubi(m)=15,000liter
Step-by-step explanation:
[1m=100cm]
[1cubic(m)=1000liters]
What is the value of x when y equals 66?
y=0.985897x+0.194185
Answer:
x = 66.74715005725
Step-by-step explanation:
First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725
solve for x please help!
Answer:
x = -1/4
Step-by-step explanation:
-4(-5x-3) = 7
Distribute
20x +12 = 7
Subtract 12 from each side
20x+12-12 = 7-12
20x = -5
Divide by 20
20x/20 = -5/20
x = -1/4
Slide 1.
1) Find the area of the metal sheet below that is required
to make this square-shaped traffic sign. Show all work on
paper.
+
7x-3
Answer:
Area=49x^2+9-42x
Step-by-step explanation:
Area=(Side)^2
Area=(7x-3)^2
Area=49x^2+9-42x
If P(x): x < |2x|. b) What is the value of ∃x P(x)?
Answer:
true
Step-by-step explanation:
because some of x if x=3 then 3<6 is true
Four randomly chosen Nevada students were asked how many times they drove to Arizona last year. Their replies were 4,5,6,7. The geometric mean is
Group of answer choices
5.31
5.38
4.98
3.95
The geometric mean of the numbers is 5.38
Given the values a, b, c and d
The geometric mean of the values will be expressed as:
[tex]GM = (abcd)^{1/4}[/tex]
Given the values 4, 5, 6, and 7, the geometric mean will be expressed as:
[tex]GM = (4\times5\times6\times7)^{1/4}\\[/tex]
[tex]GM = (840)^{1/4}\\GM=\sqrt[4]{840} \\GM = 5.38[/tex]
Hence the geometric mean of the numbers is 5.38.
Learn more: https://brainly.com/question/23875011
How many lines are symmetry
Answer:
specify which shape's symmetry do you want
In a health club, research shows that on average, patrons spend an average of 46.2 minutes
on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally
distributed variable. Find the probability that randomly selected individual would spent
between 30 and 40 minutes on the treadmill.
As the problem states, the variable has a normal distribution, and thus, concepts of this distribution are used to solve this question.
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.
In a health club, research shows that on average, patrons spend an average of 46.2 minutes on the treadmill, with a standard deviation of 4.8 minutes.
This means that [tex]\mu = 46.2, \sigma = 4.8[/tex]
Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
This is the p-value of Z when X = 40 subtracted by the p-value of Z when X = 30.
X = 40
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40 - 46.2}{4.8}[/tex]
[tex]Z = -1.29[/tex]
[tex]Z = -1.29[/tex] has a p-value of 0.0985
X = 30
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 46.2}{4.8}[/tex]
[tex]Z = -3.38[/tex]
[tex]Z = -3.38[/tex] has a p-value of 0.0004.
0.0985 - 0.0004 = 0.0981
Thus, 0.0981 = 9.81% probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
For another example of the normal distribution, you can check https://brainly.com/question/15181104.
Help question 25 pleasee
Answer:
4b³ + 11b² - 6b + 13
Step-by-step explanation:
Subtract like terms.
6b³ - 2b³ = 4b³
3b² - (-8b²) = 3b² + 8b² = 11b²
0 - 6b = -6b
8 - (-5) = 13
All together, the difference is 4b³ + 11b² - 6b + 13.
Find the value of x.
A. 6
B. 3
C. 5
D. 2
[tex]\\ \sf\longmapsto \dfrac{AK}{DK}=\dfrac{CK}{BK}[/tex]
[tex]\\ \sf\longmapsto \dfrac{14}{12}=\dfrac{4x+1}{3x+3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{6}=\dfrac{4x+1}{3x+3}[/tex]
[tex]\\ \sf\longmapsto 7(3x+3)=6(4x+1)[/tex]
[tex]\\ \sf\longmapsto 21x+21=24x+6[/tex]
[tex]\\ \sf\longmapsto 24x-21x=21-6[/tex]
[tex]\\ \sf\longmapsto 3x=15[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{15}{3}[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
Please Help Me!!!! Will Give Points Out (WORTH 20 POINTS)
Answer: CHoose
option c
Simplify, write without exponents.
[tex]2*4^{2} *(128\frac{1}{4})[/tex]
[tex]_\sqrt[_]{_}[/tex]
a.) 8
b.) 20
c.) 2
d.) 64
e.) 4
f.) 16
it is helpful to you
Can someone please help !
In functions; transformations are used to move lines, points, curves or shapes across the graph (i.e. up, down, right or left). After the transformation of [tex]f(x) = \log\ x[/tex], the resulting function is [tex]g(x) = 2\log\ (-x + 4) - 6[/tex]
Given that:
[tex]f(x) = \log\ x[/tex]
When translated 4 units left, the rule of translation is:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]f'(x) = \log\ (x + 4)[/tex]
When translated 3 units down, the rule of translation is:
[tex](x,y) \to (x,y-3)[/tex]
So, we have:
[tex]f"(x) = \log\ (x + 4) - 3[/tex]
When reflected about the y-axis, the rule of reflection is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]f'"(x) = \log\ (-x + 4) - 3\\[/tex]
Lastly, when it is vertically stretched by 2; the rule is:
[tex](x,y) \to (x,2y)[/tex]
So, we have:
[tex]g(x) = 2[\log\ (-x + 4) - 3][/tex]
Open bracket
[tex]g(x) = 2\log\ (-x + 4) - 6[/tex]
See attachment for the graph of function f(x) and the new function g(x)
Read more about function transformations at:
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The answer choices are supplementary, complimentary, and right. Help pls
Answer:
Supplementary
Step-by-step explanation:
When two positive angles form a linear pair, meaning a straight line, they are supplementary.
Which statement is most likely to be true for this distribution?
:
:
OOO
Doo
Ooo
oooo
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HE
O A. The mean is less than the median.
B. The mean is the same as the median.
C. The mean is greater than the median.
Step-by-step explanation:
. The mean is less than the median.
The statement that is most likely correct for the negatively skewed data distribution given is: B. The mean is less than the median.
What is a Negatively Skewed Data Distribution?A negatively skewed data distribution has the tail to the left of the number line, and therefore its median is usually greater than its mean.
Negative skewed: Mean < Median < Mode
No skewed: Mean = Median = Mode
Positive skewed: Mean > Median > Mode
The dot plot shows a data distribution that is negatively skewed. Therefore, the statement that is most likely to be true is: B. The mean is less than the median.
Learn more about a negatively skewed data distribution on:
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Mike has 18 goldfish and 24 silver fish in his aquarium what is the ratio of silverfish to total fish in the aquarium aquarium
Answer:
4:7
Step-by-step explanation:
18+24=total number of fish=42
silver fish amount= 24
therefore, ratio is 24:42=12:21=4:7
Help plz last question
Answer:
224π in^2
Step-by-step explanation:
Just plug in the values,
Surface area=2πr(h+r) [Factoring]
r=7in
h=9in
2πr(h+r)=2π*7(9+7)=14π(16)=224π in^2
The area of triangle ABC is _____. A 60 B65 C130 D150