13 and 5
let's say the two numbers are x and y
x+y = 18
x-y= 8
x+y+x-y= 18+8
18+8 = 26
2x = 26
x = 13
18-13 = 5
y = 5
If 12 inches = 1 foot, how many inches are in 8 feet?
Answer:
96 inches
Step-by-step explanation:
Given the following question:
12 inches = 1 foot
To find the answer we simply need to multiply 12 by 8, since every 12 inches are equal to 1 foot and we need to find how many inches are in 8 feet.
[tex]12in=1ft[/tex]
[tex]8\times12=96[/tex]
[tex]=96in[/tex]
8 feet is equal to "96 inches."
Hope this helps.
You can find the derivative of the inverse function by differentiating the inverse explicitly, or by using the formula:
If a function f(x) has an inverse f ⁻¹(x), then by definition
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Differentiating both sides with respect to x yields
[tex]f'\left(f^{-1}(x)\right) \times \left(f^{-1}\right)'(x) = 1 \implies \left(f^{-1}\right)'(x) = \dfrac1{f'\left(f^{-1}(x)\right)}[/tex]
Now, if f(a) = b and b = f ⁻¹(a), then
[tex]\left(f^{-1}\right)'(a) = \dfrac1{f'\left(f^{-1}(a)\right)} = \dfrac1{f'(b)}[/tex]
The US Census reported that it takes workers an average of 28 minutes to get home from work with standard deviation 5 minutes. A random sample of 10 workers in a large metropolitan area showed an average time to get home from work to be 32 minutes. Is this evidence that workers in the large city take longer than 28 minutes to get home from work.
Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:
[tex]H_0: \mu = 28[/tex]
At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:
[tex]H_1: \mu > 28[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are given by:
[tex]\overline{x} = 32, \mu = 28, \sigma = 5, n = 10[/tex]
Hence:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}[/tex]
[tex]z = 2.53[/tex]
What is the decision?Considering that we have a right-tailed test, as we are testing if the mean is greater than a value, with a standard significance level of 0.05, the critical value is of [tex]z^\ast = 1.645[/tex].
Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.
To learn more about the z-distribution, you can check https://brainly.com/question/26454209
Two side lengths of a triangle are 7 inches and 12 inches. Which choice could be the length of the third side?
Answer:
between 2 and 12.
Step-by-step explanation:
Hope this helps :)
PLEASE HELPPP!:( i’ll mark brainlest to whoever is right!
Convert the following into a FRACTION GREATER THAN 1. (Improper fractions)
3 3/7 & 3 5/6
Answer:
1.[tex]\frac{24}{7}[/tex]
2.[tex]\frac{21}{6}[/tex]
Step-by-step explanation:
Given the following questions:
[tex]3\frac{3}{7} \\3\frac{5}{6}[/tex]
To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.
Question one:
[tex]3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}[/tex]
Question two:
[tex]3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}[/tex]
Your answers are "24/7, and 21/6."
Hope this helps.
A city park is in the shape of a rectangle with width of 25 yd. and length of 60 yd. What is the length of the diagonal that runs across the park?
A.
B.
C.
D.
Answer:
65 yd
Step-by-step explanation:
The diagonal of a rectangle can be found using
Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
a = 25b = 60⇒ 25² + 60² = c²
⇒ c² = 4225
⇒ c = √4225
⇒ c = 65
Therefore, the length of the diagonal is 65 yd
How to simplify 10x – 8x + 2 + 10
Answer: 2(x+6)
Step-by-step explanation:
add the numbers
10x - 8x + 2 + 10
10x - 8x + 12
combine like terms
10x - 8x + 12
2x + 12
common factors
10x - 8x + 2 + 10
the answer is
2(x+6)
plss help me
Show your work plss not just the answer thank you
Ms. Perez is giving her class a pizza party because every student completed the school-wide book reading challenge. If an extra-large pizza costs $15 and serves 8 people, how much should Ms. Perez expect to pay for pizzas if her class has 28 students?
Answer:
ms. perez needs to pays 60$ for the pizzas
Step-by-step explanation:
28÷8=3.5
since you can't buy extra large pizzas by halves, you need to change 3.5 into 4
4x15=60
ms. perez needs to pays 60$ for the pizzas
4 hundred thousands – 2 thousands pls answer ASAP
Answer:
398,000
Step-by-step explanation:
400,000-2,000=398,000
In word form the answer is three hundred ninety-eight thousand
I hope that has helped :)
15 POINTS Please explain the answer. The graph of f(x) = x has been transformed to the graph of g (x) = x + 2.
Which of the transformations below have occurred? Select all that apply.
A. a translation 2 units upwards
B. a translation 2 units downward
c. a translation 2 units to the right
D. a translation 2 units to the left
Answer:
A.
Step-by-step explanation:
The graph was shifted (translated) 2 units upward.
This is because the 2 is being added onto the x. If you were to set x to 0, you result with a y of 2, making it the y-intercept.
Solve for x:
3*4+-9-x=10
Answer:
-7
Step-by-step explanation:
first multiply 3 and 4 because PEMDAS
so it now looks like
12 - 9 - x = 10
now minus 12 and 9
3 - x = 10
move x to the other side by adding x to both sides
3 = 10 + x
and move 10 to the other side by subtracting 10 to both sides
3 - 10 = x
x = -7
now check
3*4 - 9 - (-7) = 10 ?
12 - 9 + 7 = 10 ?
3 + 7 = 10 ?
10 = 10
Step-by-step explanation:
[tex]3\cdot \:4+\left(-9\right)-x=10[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]3\cdot \:4-9-x=10[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:4=12[/tex]
[tex]12-9-x=10[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:12-9=3[/tex]
[tex]-x+3=10[/tex]
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]-x+3-3=10-3[/tex]
[tex]Simplify[/tex]
[tex]-x=7[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{7}{-1}[/tex]
[tex]Simplify[/tex]
[tex]x=-7[/tex]
Rule In Out 89 88 77 61 50 39 22
In Ascending order=22,39,50,61,77,88,89
The Product Rule: If there are n(A) ways to do A and n(B) ways to do B, then the number of ways to do A and B is n(A) × n(B). This is true if the number of ways of doing A and B are independent; the number of choices for doing B is the same regardless of which choice you made for A.
change the decimal to a fraction in simple form.
Answer:
The answer is 3/4
Answer:
it's 3/4
Step-by-step explanation:
.075 as a fraction is 75/1000 and 75 ÷ 1000 is 0.75 and 0.75 as a fraction is 3/4
A family took a road trip and traveled west a distance of 350 kilometers in 7 hours. What was their velocity during this
Answer:
50 km/h
Step-by-step explanation:
so you traveled total of 350 (km) in 7 (hours) right?, just take 350, divide it by 7, which will give you km/h. (or 50 km/h) and then when you add a direction it like "west" it's no longer a speed it's a velocity.
Displacement given (in metres) = (350 × 1000)m.
Displacement = 350000 metres.
Time = (7× 3600) seconds
Time = 25200 seconds.
Velocity = Displacement / Time
Velocity = 350000 / 25200
Velocity = 13.89m/s
Approximately, Velocity = 14m/s.
In ΔIJK, i = 2.2 inches, j = 3.6 inches and k=5.1 inches. Find the measure of ∠K to the nearest degree.
Answer:
3.3
Step-by-step explanation: it said too the nearest so i think 3.3 cause its already 3.6
Answer: 121
Step-by-step explanation:
use simple interest to find the ending balance $7300 at 7% for 3 years
9514 1404 393
Answer:
$8833
Step-by-step explanation:
The account balance will be given by the formula ...
A = P(1 +rt)
where P is the amount invested, r is the annual rate, and t is the number of years.
A =- $7300(1 +0.07·3) = $7300·1.21 = $8833
The ending balance is $8833.
what could be a multiplicity of the root at x=1
Answer:
The answer is 4
Step-by-step explanation:
Edge 2020
Answer:
it is 4
Step-by-step explanation:
a bag of marbles contains 7 Red five blue for green and two yellow marbles John Celexa marble replaces it then selects another marble what is the probability that John's selects a red marble and then a yellow marble
Answer: 4.3%
Step-by-step explanation:
18^2 = 324
7 * 2 = 14
14/324 = 7/362 = 4.3%
26 x (-48) + (-48) x (-36) pls tell the answer
-1248 -1248 -. 936
- 3432
Find the slope of the line
Answer:
Step-by-step explanation:
(y2-y1)/(x2-x1)
-3-(-3)/(2-1)=0
Sam has a water bottle that holds 250 milliliters of water when full. He needs to fill a 5-liter water jug for his team. If Sam uses the water bottle to fill the jug, how many times does he need to fill the water bottle in order to fill the jug?
Answer: he needs to fill it 20 times
Step-by-step explanation:
Suppose a city with population 800,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 16 years.
Answer:
2,740,754.11467 or 2,740,754
Step-by-step explanation:
800,000(1.08)^16
y=a(b)^x
a is the starting point
b is growth
x is years
you get the growth by adding 8 to 100 then dividing by 100.
a bakery has a bag of 40 cups of flour.15 cups of flour have already been used for bread,where the relainder was used to bake 150 cupcakes.how much flour is in each cupcake?
Answer:
1/6 cup of flourStep-by-step explanation:
Remainder of cups of flour is:
40 - 15 = 25 cups25 cups of flour used to bake 150 cupcakes.
Each cupcake has:
25/150 = 1/6 cup of flourCan you help- TEST tomorrow
WILL MAKE YOU BRAINLIEST
{{{{{Need to show my work}}}}}}}
Answer:
m = 3/4x + 4
I am not sure if this is what you are working on, hopefully this helps.
(Need Help) (30 BRAINLY POINTS) A data set is shown. Drag 5 numbers into the box to create another data set with the same mean but a greater standard deviation.
Answer:
?
Step-by-step explanation:
Blurry picture can't give right description. :(
Answer:
Step-by-step explanation:
0 0
7
14 14
Which is equivalent to 3.25%?
O 0.0325
O 0.325
O 32.5
O 325
Can someone hurry and answer this question?
Answer:
The first choice.
Step-by-step explanation:
hope this helps!
Answer:
A is the answer took test on e2020
Step-by-step explanation:
Josephine has a box of 5 grey balls and 3 white balls. What is the probability that she will pull a grey ball?
Answer: 5 to 8
Step-by-step explanation:
Since there are 5 grey balls and 3 white balls, you add the number of white and grey balls to get the total balls which is 8, then put the number of grey balls over the 8 which comes to [tex]\frac{5}{8}[/tex] or 5 to 8 probability of getting a grey ball.
This also does not reduce so 5 to 8 is the final answer.
PLEASE HELPPP
Given the following equation
y=2|x+4|-3 how do the 2, 4, and 3 change the original graph of an absolute value?
Check the picture below, with that template in mind
[tex]y = \stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{4}|\stackrel{D}{-3}\qquad \begin{cases} A=2~~,~~B=1\\ \qquad \textit{shrinks by a factor of 2}\\ B=1~~,~~C=4\\ \qquad \textit{horizontal leftwards shift by }\frac{4}{1}=4\\ D=-3\\ \qquad \textit{vertical downwards shift by 3} \end{cases}[/tex]
What do we call a number after 1 is divided by it?
Answer:
I think absolute value
Step-by-step explanation:
One divided by anything is that same number
EX.
1/100=100
But if the number is negative it would still be that number just in negative form.
Ex.
1/(-3)= -3
Can I get Brainlest if you found this answer helpful
[NRAA]
One- (number)+th
eg- one tenth
one eighth
[xArtsy]