Answer: x = 0.421053y+5.263158
Step-by-step explanation:
x = 0.421053y+5.263158
Answer:
x=0.042105y+10/19
Step-by-step explanation:
Let's solve for x.
19x−0.8y=10
Step 1: Add 0.8y to both sides.
19x−0.8y+0.8y=10+0.8y
19x=0.8y+10
Step 2: Divide both sides by 19.
19x/19=0.8y+10/19
x=0.042105y+10/19
Given that a=4 and b=5. evaluate : a²+3b
Answer:
31
Step-by-step explanation:
4 squared is 16, and 5 times 3 is fifteen if you add them you get 31
The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they prepare their tax returns. In recent years, the IRS has been inundated with taxpayer calls and has redesigned its phone service as well as posting answers to frequently asked questions on its website (The Cincinnati Enquirer, January 7, 2010). According to a report by a taxpayer advocate, callers using the new system can expect to wait on hold for an unreasonably long time of 15 minutes before being able to talk to an IRS employee. Suppose you select a sample of 50 callers after the new phone service has been implemented; the sample results show a mean waiting time of 13 minutes before an IRS employee comes on line. Based upon data from past years, you decide it is reasonable to assume that the standard deviation of waiting times is 11 minutes. Use α=0.05
Required:
a. State the hypotheses.
b. What is the p-value?
c. Using α=0.05, can you conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Answer:
a)Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
b)p value = 0.1003
c)We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Step-by-step explanation:
Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
[tex]\mu = 15\\\bar{x}=13\\\sigma = 11\\n = 50[/tex]
Sample size is more than 30 . So, we will use Z test
[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{13-15}{\frac{11}{\sqrt{50}}}\\Z=-1.285[/tex]
Use z table to find p value
p value = 0.1003
α=0.05
p value< α
So, we reject null hypothesis
Hence We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Kylie just accepted a job at a new company where she will make an annual salary of
$43000. Kylie was told that for each year she stays with the company, she will be
given a salary raise of $5000. How much would Kylie make as a salary after 6 years
working for the company? What would be her salary after t years?
Salary after 6 years:
Salary after t years:
Answer:
$73,000
$43,000 + $5,000 x t
Step-by-step explanation:
Every year increase $5,000, after 6 years increase $5000 x 6 = $30,000
Her salary will be $43,000 + $30,000 = $73,000
After t years, her salary will be
$43,000 + $5,000 x t
Current intelligence tests, including the Stanford-Binet, assign an average performance score as 100. In a normally distributed set of scores, with a standard deviation of 15, which percentage of scores will fall between 85 and 115
Answer:
68.27%
Step-by-step explanation:
By the Empirical Rule, the amount of data that is 1σ below and above the mean μ accounts for 68.27% of the data.
The function f is defined by f(x) = - |x|
Write down the expression for g (x)
[tex]\\ \tt\Rrightarrow f(x)=-|x|[/tex]
OBSERVE THE GRAPH
g(x) is shifted 4units right and 3 units upSo the new function is
[tex]\\ \tt\Rrightarrow g(x)=-|x-4|[/tex]
[tex]\\ \tt\Rrightarrow g(x)=-|x-4|+3[/tex]
Graph attached
The function f is defined by f(x) = - |x|, The expression for g (x) will be g (x) = - |x|+3.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is,
f(x) = - |x|,
Geometric transformation is the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is obtained from the graph that the point for the function g (x) is translated by the 3 units right.
Thus, the function f is defined by f(x) = - |x|, The expression for g (x) will be g (x) = - |x|+3.
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Suppose that 12 inches of wire costs 36 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?
pls tell the answers whoever gives the correct answer will be marked as brainliest
Answer:
(D)
Step-by-step explanation:
Area (shaded) = Area (large rectangle) - Area (small rectangle)
= (4x + 3)(4x - 3) - (8x + 9)(2x - 1)
= 16x² - 9 - [16x² + 18x - 8x - 9]
= -10x
The correct option is (D)
what is the value of 27-2m, when m=3
Answer:
21
Step-by-step explanation:
27 - 2m = 27 - (2 x 3) then 27 - 6 is 21, so your answer should be 21.
What is the sum of the 12th square number and the 3rd cube number?
Answer:
171
Step-by-step explanation:
Your calculator can help you find the sum ...
12² +3³ = 144 +27 = 171
9. Every school day, Lucas bikes to school, 12 miles away at 8 miles per hour. Today, Lucas was thinking about planning his sister’s party in the evening, and, distracted, travelled the first four mile at only 6 miles per hour. At what speed must he travel the last eight miles to reach school in time?
Answer:
Step-by-step explanation:
The question may be answered easily by first determining how far we would ride the bike in 1 hour. Riding the bike 12 mph (miles per hour) for one hour, we would ride the bike 12 miles.
Since 20 minutes is 1/3 of a hour, divide 12 by 3 to find out how far the biker traveled in 1/3 of the time:4 miles. that is the answer and the steps!!
You borrow $1400 from a friend and promise to pay back
$2000 in two years. What simple interest rate, to the nearest
tenth of a percent, will you pay?
Answer:
21.4%
Step-by-step explanation:
You would pay back a 21.4%
The simple interest rate on the loan of $1400 is approximately 21.4% per year.
What is the simple interest rate of the loan?The simple interest can be expressed as:
A = P( 1 + rt )
Where A is accrued amount, P is the principal, r is the interest rate and t is time.
Given the parameter:
Principal P = $1400
Accrued amount A = $2000
Time t = 2 years
Interest rate r =?
Plug these values into the above formula and solve for the interest rate.
A = P( 1 + rt )
[tex]r = \frac{1}{t} * ( \frac{A}{P} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = 0.21428[/tex]
Convert r decimal to R a percentage
R = 0.214 × 100
R = 21.4% per year
Therefore, the rate is approximately 21.4% per year.
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Assessment Practice
24. There were 240 shoppers at an electronics store on opening day.
The specials that day allowed 25% of shoppers to receive a free set
of earbuds and 20% of shoppers to receive $10 off their first purchase.
PART A
PART B
Use an equivalent fraction to determine how Use an equivalent fraction to determine how
many shoppers received a free set of earbuds. many shoppers received $10 off their first purchase
Show your work.
Show your work
372
6-4 Estimate to Find Percent
Answer:
Free set of earbuds = 60/240
10 dollars off first purchase = 48/240
Hope this helps
Does this graph show a function explain how you know
Answer:
No
Step-by-step explanation:
This is not a function because more than one point shares more than one point.
A number raised to the fourth power.
Answer:
In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube.
Step-by-step explanation:
Which is the following is equivalent to sin 35 ?
Answers A-D
A
COS 35
B COS 55
Csin 55
Dtan 35
Answer:
1
Step-by-step explanation:
=sin 55 cos 35 + cos 55 sin 35 =sin (55+35)=sin 90=1
What is the constant of proportional in the equation Y equals 5/9 X
9514 1404 393
Answer:
5/9
Step-by-step explanation:
Compare the given equation ...
y = (5/9)x
to the equation for proportionality ...
y = rx
where r is the constant of proportionality.
Matching the two patterns, you should be able to see that r = 5/9.
The constant of proportionality is 5/9.
help i dont get it. please put answer with an explanation
Answer:
photo looks blank
Step-by-step explanation:
......
Solve for x 5x+10=7x+18
Answer:
I think it is x=-4
Step-by-step explanation:
Step 1: Subtract 7x from both sides.
5x+10−7x=7x+18−7x
−2x+10=18
Step 2: Subtract 10 from both sides.
−2x+10−10=18−10
−2x=8
Step 3: Divide both sides by -2.
-2x/-2=8/-2
Answer:
x=−1 or x≓1.640367031
Step-by-step explanation:
what are the equivalent fractions of 4/7 and 3/5
Answer:
3/5= 6/10, 9/15, 12/20, 15/25, 18/30
4/7
= 8/14, 12/21, 16/28, 20/35, 24/42
Step-by-step explanation:
mark me brainliest!!
Hey there!
Remember, equivalent means equal.
So we need to find some fractions that are equal to 4/7 and 3/5.
We can easily do that.
First, let's take 4/7.
Let's multiply the top & bottom by 2:
8/14
4/7 and 8/14 are equivalent.
Let's multiply the top & bottom by 2:
16/28
We can keep multiplying...
Also, there's no reason why we cannot multiply by 3, 4, 5, 6, 7, 8...
In other words, there are infinitely many fractions equivalent to 4/7.
Same with 3/5:
6/10, 12/20...
Hope everything is clear.
Let me know if you have any questions; if so, please ask.
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[tex]\rule{200}{2}[/tex]
PLEASE HELP ME ASAP!!!!
Answer:
368 cm²
Step-by-step explanation:
Bottom: 12 * 10 = 120 cm²
Front and back (square): 2 * (10 * 10) = 200 cm²
Front and back (triangle): 12*8/2 = 48 cm²
Total = 120 + 200 + 48 = 368 cm²
PLEASE SOLVE! IT'S REALLY EASY, BUT MY BRAIN IS DEAD AT THE MOMENT.
Answer:
x = 30 over 11
Step-by-step explanation:
6(9x-5)-4(3+2x)-3(8x-20) = 24
54x-30-12-8x-24x+6 = 24
22x = 24+36
22x = 60
then divide both sides by 22
x = 30 over 11
A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. How many phone calls should she expect after a week?
Answer:
17
Step-by-step explanation:
After a week he can expect 17 calls.
Given that,
A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent.
This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days.
How many phone calls should she expect after a week is to be determined.
The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
in 1 week = 7 Days
Now,
D = x
y = 30(0.92)ˣ
now put x = 7
y = 30(0.92)⁷
y = 30 * 0.55
y ≈ 17
Thus, After a week he can expect 17 calls.
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How many times does 10 go into 4 1/2
Answer: 0.45
Step-by-step explanation:
it goes into 4 1/2 in 0.45 times! Hoped this helped!
[tex]\sqrt{-(-9)^2}[/tex]
Fill in the table using this function rule. IM GIVING EXTRA POINTS AND BRAINLIEST!!
Answer:
3 - 10
4 - 7
5 - 4
6 - 1
find the percent change from 62 to 7
Answer:
11.29
Step-by-step explanation:
I don't actually have a step-by-step explanation but I have to use up characters to
The table represents a linear function. A two column table with six rows. The first row, x, has the entries negative 4, negative 2, negative 1, 1, 2. The second column, y, has the entries, negative 2, negative 10, negative 14, negative 22, negative 26. What is the slope of the function? –8 –4 2 5 Mark this and return
The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:
Given Points:
[tex](-4,-2) , (-2,-10)[/tex]
To find:
slope (m)=?
Solution:
[tex](-4,-2),(-2,-10)\\x_{1} =-4\\y_{1} =-2\\x_{2}= -2\\y_{2}=-10\\[/tex]
Using formula:
[tex]slope(m)=\frac{y_{2-} y_{1} }{x_{2-} x_{1} } \\=\frac{-10-(-2)}{-2-(-4)} \\\\=\frac{-10+2}{-2+4}\\=\frac{-8}{2} \\=-4[/tex]
Therefore, the slope is "- 4".
On New Year's Day, the temperature in Chicago was 5°F. That same day, the temperature in Minneapolis was
–
1°F.
How much warmer was it in Chicago than Minneapolis?
Answer:
6°F
Step-by-step explanation:
6+ -1 =5
There are 6° F warmer was it in Chicago than Minneapolis.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
On New Year's Day, the temperature in Chicago was 5°F.
And, That same day, the temperature in Minneapolis was - 1°F.
Hence, The temperature warmer was it in Chicago than Minneapolis is,
⇒ 5° F - (- 1)° F
⇒ 6° F
Thus, There are 6° F warmer was it in Chicago than Minneapolis.
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Julia’s favorite snack comes in a box shaped like a right triangular prism. The dimensions of the prism are shown
a-43cm3
b-56cm3
c-112cm3
d-137cm3
please helpppp meeeee
Answer:
c.
Step-by-step explanation: