Answer:
f^-1(x) = 1/4 x - 5/4
Step-by-step explanation:
f(x) = 4x + 5
y = 4x + 5
x = 4y + 5
4y = x - 5
y = 1/4 x - 5/4
f^-1(x) = 1/4 x - 5/4
A scooter travels 30 feet in 2 seconds at a constant speed.
Answer:
The scooter is going faster.
Step-by-step explanation:
30/2 = 15ft/s
55/4 = 13.75ft/s
(the question was cut off so I used the information I had) Hope this helped!
A random Gaussian process x has a mean of 2.5 and variance of 0.36. Calculate the probability of the random variable having a value less than 3.
Answer: 0.79758
Step-by-step explanation:
Given that :
Mean (m) = 2.5
Variance = 0.36
Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6
The probability of the random variable having a value less than 3 is obtained by:
P(x < 3)
Using the relation to obtain the standardized Zscore :
Z = (x - m) / s
Z = (3 - 2.5) / 0.6
Zscore = 0.8333333
p(Z < 0.833) = 0.79758 ( Z probability calculator)
please help!Thank you so much
Answer:
An equation is a math sentence that DOES contain an equals sign (=).
The inverse of addition is subtraction.
The inverse of subtraction is addition.
The inverse of multiplication is division.
The inverse of division is multiplication.
Step-by-step explanation:
I'm sorry if I got the first one incorrect.
If QRST is a kite, find the measure of QRS
Answer:
!!!!
137°
i took the test and that was the right answer.
Step-by-step explanation:
QRST is a kite therefore, the value of angle QRS in the kite is 137 degrees.
Properties of a kiteOne pair of opposite angles is equal.Diagonals are perpendicular to each other.The sum of angles in the kite is 360 degrees.
Therefore,
79 + 79 + 11x - 6 + 4x + 13 = 360
158 - 6 + 13 + 11x + 4x = 360
158 + 7 + 15x = 360
15x = 360 - 158 - 7
15x = 195
divide both sides by 15
x = 195 / 15
x = 13
Therefore,
∠QRS = 11(13) - 6 = 143 - 6 = 137 degrees.
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The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is normal, with a mean of $5971 and a standard deviation of $219 . You take a random sample of 70 employees from the company and find that their mean monthly income is $5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample means? Round to one decimal place.
Answer:
The value is [tex]z = -8.4[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 70
The mean is [tex]\mu = \$ 5971[/tex]
The standard deviation is [tex]\sigma = \$ 219[/tex]
The sample mean is [tex]\= x = \$ 5751[/tex]
Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = -8.4[/tex]
4. Write as a fraction in simplest form: 38 minutes to 12 minutes
Answer:
3 ⅙
Step-by-step explanation:
38 and 12’s common factor would be 2. Now the fraction is 19/6.
How many 6’s can fit into 19? 3. With a remainder of 1 we have:
3 ⅙
is anyone knows the answer tell me please thank you .
Answer:
there is no question attached
Step-by-step explanation:
Write the equation of the line (in slope-intercept form) where: slope = 1/4 and y-intercept = (0, -5)
Answer:
y=1/4x-5
Step-by-step explanation:
The formula is y=mx+b
m=slope, slope= 1/4
b= y-intercept, which equals -5.
Since there is a negative before the 5, instead of doing y=mx+b, you have to do y=mx-b.
The final formula would look like y=1/4x-5
40x + 100≈/10
sorry if that equation is misunderstood...its a fraction
Answer:
now me good boy
x=4
what expression is equivalent to (5x^2+3x+4)- (2x^2+1)-(7x+3)
Answer:3x^2+(-)4x
Step-by-step explanation:
Oscar is going to buy a limited-edition soccer ball that costs $30, and the sales tax is 6%. What is the total cost?
Answer:
your answer is 31.80
Step-by-step explanation:
...
Step-by-step explanation:
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What is incorrect About this proof? What needs to be done to correct it?why ?
The graph shows a proportional relationship.
Which equation matches the graph?
A. y = 1/4x
B. y = 4x
C. y = 12x
D. y = x
Answer:
C
Step-by-step explanation:
The equation matches the graph is y= 4x.
the correct option is B.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have line graph from which we can consider two points as (1, 4) and (3, 12).
So, the slope of line
m = (12 - 4)/ (3-1)
m= 8/ 2
m= 4
Now, using slope intercept form
y= mx+b
y= 4x + b
Now, put x= 1 and y=4 in above equation
4 = 4 + b
b= 0
So, the Equation of line is y= 4x.
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what would the value (s) for n will make the expression true |n| = 3.5
Answer:
3.5
Step-by-step explanation:
3.5
because it is
okay
Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
just go with your heart
Rewrite the equation y-31x= 93 as a function of x.
Answer:
g(x) = 31x + 93
Step-by-step explanation:
These points are linear. Find the slope.
Answer:
Slope = 3/2
Step-by-step explanation:
The slope of an equation is rise/run, or y/x.
Since the graph indicates that y rises by 3 and x rises by 2, the slope would be 3/2
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 3) and (4, 6).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{6-3}{4-2}[/tex]
= [tex]\frac{3}{2}[/tex]
The angle of elevation from a pothole to the top of a lamp post is 33°
33°. The horizontal distance from the pothole to the base of the lamp post is 44 feet. How tall is the lamp post?
a) 28.6 ft
b) 23.9 ft
c) 67.8 ft
d) 55 ft
Answer:
a) 28.6ft
Step-by-step explanation:
tan(33)= x/44
x/44= tan(33)
x/44=.65
x= 44* .65
x= 28.6
Line M contains points (4,3) and (1,2). Write a possible equation of line K that is
perpendicular to line M.
PLEASE HELP DUE IN 5 minutes
James earns $12 per hour for working at an appliance store. He also earns a weekly bonus of $36 if he makes a total of 7 or more sales during a given week Last week , James made 7 sales and earned a total of $300 for x hours of working at the appliance store . How many hours did James work?
Answer:
22 hours
Step-by-step explanation:
12 per hour.
$36 = 7 sales.
(300-36)/12=22
So 22 hours.
Hope this helps plz hit that crown !!!
James worked for 20 hours.
what is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given here, James earns $12 per hour and weekly bonus of $36 if he makes a total of 7 or more sales during a given week and earned a total of $300 . Let the time that James worked for be x , then we can form an equation;
36 + 12x = 300
⇒ 12x = 240
⇒ x = 20 hours
Hence, James worked for 20 hours.
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Rewrite the following expression in logarithmic form:
2^9=512
Answer: log(2) 512= 9
Step-by-step explanation:
A P E X ;)
In logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.
To understand this, let's break down the expression.
The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.
By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.
So, in logarithmic form can be written as:
[tex]log_{(2)}\ 512 = 9[/tex]
Therefore, in logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
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Help with both please the picture has the instructions:)
Graph the line y=-1/4x+6
Given m||n, find the value of x;
Answer:
i think its 24 because its the alternate exterior so it should be the same.
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
KJananwnwwnnwnwnwnwnw
Find the distance between the two points in simplest radical form.
(-2,-1) and (-8,7)
Answer:
The distance in radical form is √100 (which is equal to 10units
Step-by-step explanation:
Distance=√(-8--2)²+(7--1)²
D=√(-6)²+(8)²
D=√36+64
D=√100
D=10units
75% of 56
Pls help me
Answer:
42
Step-by-step explanation:
It takes Molly 8 minutes to shovel her driveway after a snowstorm working by herself. It takes her elderly neighbor 24 minutes to shovel his driveway working by himself. How long would it take Molly and her neighbor to shovel the neighbor's driveway working together, assuming both driveways have the same dimensions?
Answer:
Step-by-step explanation: it will take 16 minute
Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).
And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL
Answer:
As 2021 and 1927 does not have any product of primes
HCF and LCM of 2020 and 1926 is shown below
Step-by-step explanation:
2020 = 2^2 × 5 × 101
1926 = 2 x 3^2 x 107
2 is the HCF
2 x 2 x 3 x 3 x 5 x 101 x 107 = 1945260
1945260 is the LCM
2022 and 1928 both have product of primes and their HCF and LCM is
1949208 is the LCF and 2 is the HCF
1949208 - 1945260 = 3948
3948/2 = 1974
2022-1928 = 94
2020 - 1926 = 94
1974/94 = 21
and brings us back to our year again.
Happy New Year to you.
Which table shows exponential decay?
Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknight evening, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2 customers per minute/ Assume Poisson arrivals and exponential service times.a. What is the probability that no customers are in the system?b. What is the average number of customers waiting for service?c. What is the average time a customer waits for service to begin?d. What is the probability that an arriving customer will have to wait for service to begin?e. Do the operating charachteristics indicate that the one-clerk checkout system provides and acceptable level of service?
Answer:
Probability [No customers in system] = 0.375Customers waiting for service = 25/24Average time customer wait = 1.25/1.5May be waitPer customer average time = 1.33 (Approx)Step-by-step explanation:
Given:
Arrival rate λ = 1.25 min
Mean μ = 2
Computation:
(a) Probability [No customers in system]
Probability [No customers in system] = 1-[λ/μ]
Probability [No customers in system] = 1-[1.25/2]
Probability [No customers in system] = 0.375
(b) Customers waiting for service
Customers waiting for service = λ²/ [μ(μ-λ)]
Customers waiting for service = 1.25²/ [2(2-1.25)]
Customers waiting for service = 25/24
(c) Average time customer wait
Average time customer wait = λ / [μ(μ-λ)]
Average time customer wait = 1.25/ [2(2-1.25)]
Average time customer wait = 1.25/1.5
(d) May be wait because Customers waiting for service = 25/24
(e) Per customer average time
Per customer average time = 1/(μ-λ)
Per customer average time = 1/(2-1.25)
Per customer average time = 1.33 (Approx)