Answer:
-1/3
Step-by-step explanation:
Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?
Answer:
A is the correct answer .
Step-by-step explanation:
Hope this helps .
The equation that allows you to solve the given equation is (x-3)(2x+5).
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.
The given quadratic equation is:
[tex]2x^{2} -15=x[/tex]
[tex]2x^{2} -x-15=0[/tex]
[tex]2x^{2} -6x+5x-15=0[/tex]
[tex]2x(x-3)+5(x-3)=0[/tex]
[tex](x-3)(2x+5)=0[/tex].......(1)
So, the required equation is equation(1).
Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).
To get more about quadratic equations visit:
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The following data show the average retirement ages for a random sample of workers in the United States and a random sample of workers in Japan. Perform a hypothesis test using α = 0.05 to determine if the average retirement age in Japan is different from the United States. Calculate the test-statistics (round to 3 decimals - report the absolute value).
Answer:
[tex]t \approx 2.639[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}{} & {USA\ 1} & {Japan\ 2} & {\bar x} & {64.6} & {67.5} &{n} & {30} & {30} & {\sigma} & {4.0} & {4.5} \ \end{array}[/tex]
See attachment for data
Required
Determine the test statistic
The test statistic is calculated using:
[tex]t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}}[/tex]
So, we have:
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{4.0^2}{30} + \frac{4.5^2}{30}}}[/tex]
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00}{30} + \frac{20.25}{30}}}[/tex]
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00+20.25}{30}}}[/tex]
[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{36.25}{30}}}[/tex]
[tex]t = \frac{-2.9}{\sqrt{1.2083}}[/tex]
[tex]t = \frac{-2.9}{1.099}[/tex]
[tex]t \approx -2.639[/tex]
The absolute value is:
[tex]t \approx 2.639[/tex]
Which pair of expressions are equivalent?
27x + 45y and 7(9x + 7y)
2x + 18y and 2(x + 9y)
2(15x + y) and 30x + 15y
10(4x + 5y) and 20x + 10y
Answer:
second one
Step-by-step explanation:
Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2
So it will be 2x+18y
2*9=18
Please help meeeeeeeeeee
I hope this helped
Step-by-step explanation:
Ok
First : Find the area by using length x width x height
Second: 18in (long/length) x 12in (wide/width) 10in (high/height)
last : 18 x 12 x 10
=2,160 in/ C
I need help ! We are doing log lines
Answer:
exponent
Step-by-step explanation:
To get log2(4)=2
so 2 to the power of 2 is 4
4 is the number between brackets in log
another example
log2(8)=3
2 to the power of 3 is 8
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
[tex]\to df = n - 1 = 71-1= 70[/tex]
In point B:
[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898
[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]
I need help on my tips for math could someone be nice and help
Answer:
A im pretty sure its a try it and let me know
Find a equivalent for 24/100
Answer:
Step-by-step explanation:
Divide the numerator and denominator by 2.
[tex]\frac{24}{100}=\frac{12}{50}[/tex]
To find equivalent fractions, we have to multiply the numerator and denominator by the same number or divide the numerator and denominator by the same number
X
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03.08 Debt Practice Test
MA500DLF FINANCIAL APPLICATIONS I-JOHN, A (TEACHER MASTER) / Debt
Joseph
Kisting
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6. Isha has a previous balance of $493 on a credit card with a 16.3% APR compounded monthly. If she made a payment of $50 this month, what is the new balance on her credit
card? (2 points)
O $443.00
O $449.70
O $523.36
O $573.36
Question 1
You buy egg yolks for $13/gallon.
A batch of Hollandaise requires 4 oz of
How much do you spend on egg yolks for one batch of Hollandaise?
Hint: Remember, first convert gallons to ounces, then divide.
egg yolks.
Answer:
Answer
Answer:
Step-by-step explanation:
0.41
How to do subtract 1.7 from 3 show your work
Factor by removing a common
1. 3a +9ab
Answer:
3a(1+3b)
Step-by-step explanation:
First step is to find the greatest common factor between these two terms, which is 3a. Next you'll need to divide the two terms by that factor, which would give you what would be in the parenthesis, placed the factor in front to signify the multiplication of those terms and voila, you got the fully factored form.
HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?
Answer:
3/5
Step-by-step explanation:
favorable outcomes/total number of outcomes=probability
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Previous extractions do not influence the probability
If f(x)=3-x^2,find f(-2)
Answer:-1
Step-by-step explanation:f(x)=3-x2
This is also...
f(x)=3+[(-1)(x2)]
We will execute the exponential. Then, we will multiply the result by the coefficient of -1.
f(-2)=3-(-2)2
f(-2)=3-(+4)
f(-2)=3-4
f(-2)=-1
PLS ANSWER QUICK, HELP
Answer:
1014 in
Step-by-step explanation:
(13 x 13) x 6 = 1014 in^3
Answer:
The answer should be A (676)
Step-by-step explanation:
help me please!! i’m confused!!
find the surface area of the rectangular prism.
A 90 cm2
B 135 cm2
C 225 cm2
D 270 cm2
Answer:
D. 270 cm2
Step-by-step explanation:
2*(15*5 + 15*3 + 5*3) = 270 cm2
13. Describe and correct the error in finding the product.
X (x – 5)² = x² – 52
= x2 - 25
Answer:
Answer:
x=−1.27794
Step-by-step explanation:
x(x−5)2=x2−52
x3−10x2+25x=x2−52
Step 1: Subtract x^2-52 from both sides.
x3−10x2+25x−(x2−52)=x2−52−(x2−52)
x3−11x2+25x+52=0
Step 2: Use cubic formula.
x=−1.27794
Hope it helps +_+
What is 125% of 144?
Answer:
180
hope this helps :)
The answer to the question
Answer:
I am pretty sure this is gonna be the 3rd anwser
Answer:
The answer is C aka 3(5)^6
Step-by-step explanation:
for brainliest !!!! help
Water in a 14mm diameter pipe flows at 2m/s. How many liters flow along the pipe in 1 minute
Answer:
The flow rate will be say around 10000 liters per hour. Or 180 liters per minute.
Step-by-step explanation:
Solve for 0 Round your answer to the nearest tenth.
20
13
A =
degrees
Answer:
1.835
Step-by-step explanation:
use pythagoras theorem to find missing side
use sin to find missing angle
missing side/13 = 1.835
Does anyone know this please help
Answer:
b.12/25
c.4/15
d.8/15
e.6/12
2a.15/24=5/8
b.20/40=1/2
Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?
Answer:
1 hour and 17 min
Step-by-step explanation:
it takes 30 min to get to 4 the another 30 min to get to 4:30 then 17 min to get to 4:47
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
Learn more about percentage here :
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An engineer stands 50 feet away from a building with a surveying device mounted on a tripod. if
the surveying device is 5 feet above the ground and the angle of elevation is 50°, find how tall is
the building.
Answer:
The building is 64.6 feet tall.
Step-by-step explanation:
To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;
Height of the building = x + 5
But,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]
x = 50 x Tan [tex]50^{o}[/tex]
= 50 x 1.1918
= 59.59
x = 59.59
Height of the building = x + 5
= 59.59 + 5
= 64.6 ft
The height of the building is 64.6 feet.
A single line of four cats one behind the other walks towards and head-on into a single line of five cats walking in the opposite direction. When two of the nine cats meet, they both switch directions and then continue walking. How many meetings take place?
Answer:LLLLLLLLLLLLLL
Step-by-step explanation:
LLLLLLLLLl
Answer:
4
Step-by-step explanation:
There are just 4
combine like terms !-3r - 5 + 2r - 3r - 2s
HELP ASAP
Pls help me complet this
Answer:
P(for) = 5/8
P(against) = 3/10
P(undecided)= 3/40
Step-by-step explanation: Again, find the total number of people Devi surveyed.
40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.
Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.
Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.