Answer:
x = 9
Step-by-step explanation:
If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).
NO is corresponds to TS, thus sides NO and side TS are ≅.
=> 20 = 3x - 7
=> 3x = 27
=> x = 9
What is the mean of the set of data given below? 13 8 9 6 10 8
Answer:
Mean = The numbers added up and divided by the number of numbers.
Step-by-step explanation:
= (13 + 8 + 9 + 6 + 10 + 8) / 6
= 54 / 6
= 9
The mean is 9.
ASAP SHOW WORK PLEASE
Answer:
1) 5 in, 12 in, 13 inStep-by-step explanation:
1)
5² + 12² = 13²25 + 144 = 169169 = 169Yes2)
5² + 7² = 9²25 + 49 = 8174 ≠ 81No3)
10 + 12 < 30, there is no possible triangle with given sides as per triangle inequality theoremDetermine another point on the line given two points on the line. (-2, 9), (2, -1)
Answer:
(4,-6)
Step-by-step explanation:
1) First, let's find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the x and y values of (-2,9) and (2,-1) into it, then solve:
[tex]m = \frac{(-1)-(9)}{(2)-(-2)}\\m = \frac{-1-9}{2+2} \\m =\frac{-10}{4} \\m = -\frac{5}{2}[/tex]
So, the slope of the line is [tex]-\frac{5}{2}[/tex].
2) Now, using that slope, let's find another point on the line. You can do this by drawing the two points on a graph (picture below). Now, remember that the slope is [tex]\frac{rise}{run}[/tex]. So, starting from any of the two points (I chose (2,-1), as seen below) count 5 units down, then 2 units to the right. This gives an answer, (4,-6).
someone please answer this!!
Answer:
4m is the answer.
Step-by-step explanation:
a = 3m
b = ?
c = 5m
According to the Pythagoras theorem,
a² + b² = c²
3² + b² = 5²
9 + b² = 25
b² = 25 - 9
b² = 16
b = 4m
∴ The distance between the ladder and the bottom of the slide is 4m.
PLEASE HELP ME!!
For the following exercise, use the compound interest formula, A(t) = P(1 +r/n)^t.
where money is measured in dollars.
After a certain number of years, the value of an investment account is represented by the expression 10,400(1 +0.02/2)^20
had the account been accumulating interest?
How many years
Answer:
A = $10,441.68
A = P + I where
P (principal) = $10,400.00
I (interest) = $41.68
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,400.00(1 + 0.0002/2)(2)(20)
A = 10,400.00(1 + 0.0001)(40)
A = $10,441.68
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =[tex]P(1+r/n)^rt[/tex]
Given that
A = $10,441.68
A = P + I
P (principal) = $10,400.00
I (interest) = $41.68
First, we need to convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then we will solve the equation for A
A = [tex]P(1+r/n)^rt[/tex]
[tex]A = 10,400.00(1 + 0.0002/2)^{(2)(20)}[/tex]
A = 10,400.00(1 + 0.0001)
A = $10,441.68
Hence, The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
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A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?
A.The probability of a temperature from 30 degrees to 120 degrees
B.The probability of a temperature from 90 degrees to 180 degrees
C.The probability of a temperature from 30 degrees to 90 degrees
D.The probability of a temperature from 90 degrees to 120 degrees
Answer: 90 degrees to 120
Step-by-step explanation:
The probability of a temperature from 90 degrees to 120 degrees.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
Temperatures from 60 degrees to 160 degrees.
As, per the situation the probability will lie between 60 degree to 160 degree.
Hence, The probability of a temperature from 90 degrees to 120 degrees.
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Someone please explain this andwer
Answer: 2756 cubic inches
Step-by-step explanation:
Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304
Then the cylinder: pi x 4(sqrd) x 9 = about 452
then add them together
I hope this helps! :)
Anyone know the answer to this question?
The area of a right triangle is 36 square
meters. The height is twice as long as
the base.
To find the area of a triangle, use the
1
following formula:a bh
2
where b is the base and h is the height.
How long is the shorter leg of the triangle?
Answer:
6 m
Step-by-step explanation:
36 m^2 = bh/2
36·2 = bh/2·2
72 = bh
72 = 12·6
check
36 m^2 = 12·6/2
36 = 36
:)
....................
Answer:
11
Step-by-step explanation:
Mr. Sanchez built a fence to enclose a rectangular
yard for his horse. If the area of the yard to be
enclosed is 2835 square feet, and the length of
the yard is 45 feet, how much fencing is needed?
9514 1404 393
Answer:
216 feet
Step-by-step explanation:
The area is given by the formula ...
A = LW
Solving for width, we have ...
W = A/L = 2835 ft²/(45 ft) = 63 ft
__
The perimeter is given by the formula ...
P = 2(L +W)
P = 2(45 ft +63 ft) = 2(108 ft)
P = 216 ft
216 feet of fencing are needed to enclose the area.
Find the distance to the nearest tenth
between the points (-4, 2) and (6, -3) on
the coordinate plane.
Answer:
d=11.2
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]
[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]
[tex]d=\sqrt{10^{2}+5^{2} }[/tex]
[tex]d=\sqrt{100+25}[/tex]
[tex]d=\sqrt{125}[/tex]
[tex]d=11.18[/tex]
[tex]d=11.2[/tex]
At what age can you start withdrawing money from retirement accounts? What’s the penalty for withdrawing money early from retirement accounts? Type the correct answer in each box. Use numerals instead of words. Use / for a fraction bar.
The penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
We need to find at what age can you start withdrawing money from retirement accounts.
We need to find what’s the penalty for withdrawing money early from retirement accounts.
You can withdraw money from your 401k before age 59 ½. However, early withdrawals often come with hefty penalties and tax consequences.
If you find yourself needing to tap into your retirement funds early, here are rules to be aware of and options to consider.
What are 401k Withdrawal Rules?The IRS allows penalty-free withdrawals from retirement accounts after age 59 ½ and requires withdrawals after age 72. There are some exceptions to these rules for 401k plans and other qualified plans.
Generally, if you take a distribution from an IRA or 401k before age 59 ½, you will likely owe:
federal income tax (taxed at your marginal tax rate)10% penalty on the amount that you withdrawrelevant state income taxTherefore, the penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
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How do I solve 8/x-0.16=0.64
Answer:
yo my bad
x=10 the other person solved it
Answer:
x=10
Step-by-step explanation:
8/x=0.8
8=0.8x
x=10
I need help with other question b, with explanation please
Answer:
[tex]96 - 14[/tex]
Step-by-step explanation:
Given
[tex]Digits: 6\ 1\ 9\ 4[/tex]
Required
Fill in the blanks to get the largest subtraction
The largest subtraction is the difference between the highest possible value and the least possible value.
From the 4 given digits.
We have:
[tex]Highest = 96[/tex]
[tex]Least = 14[/tex]
So, the blanks become:
[tex]96 - 14[/tex]
And the difference is:
[tex]82[/tex] --- possible largest
Find the value of x. Round to the
nearest tenth.
26
12
х
X=
= [?]
Answer:
X = 5.9 (in degree mode)
Step-by-step explanation:
Do the following:
12(tan26) = X
Plugging this into a calculator, you will get:
X = 5.9 (in degree mode)
The mean of a set of credit scores is Mu = 690 and Sigma = 14. Which statement must be true?
Answer:
B
Step-by-step explanation:
Answer: It’s C
Step-by-step explanation:
4x^2+5y^2=41
3x^2-4y^2=23
Answer:
i dont know the answer sry
Step-by-step explanation:
srryyy
What is the probability of randomly choosing a white marble from a bag of
12 red, 12 white, 12 blue and 12 green marbles?
1/2
1/3
O 1/4
1/8
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
viola!
hope this helped!
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
hope this helped!
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer:
x = -4y
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top edge of all the walls. How much will she spend?
Answer:
$124.95Step-by-step explanation:
The length of the strip is equal to perimeter of the kitchen.
P = 2(4.2 + 6.3) = 21 mCost of the strip is:
21*$5.95 = $124.95Andy's age is 67, which is 17 less than 12 times bills age. What is bills age?
Bill is about 49 years old.
Answer:
7
Step-by-step explanation:
67 + 17 = 84
84/12 = 7
The dot plots show the math test scores from the sixth and seventh
grade students
Answer:
C
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is the radius of a sphere with a volume of 4186 in3 to the nearest tenth of an inch?
Answer:
10 inches
Step-by-step explanation:
r=(3V
4π)⅓=(3·4186
4·π)⅓≈9.99778in
what is the value of 5 in (and the three on the top
Answer:
5^3 = 125
Step-by-step explanation:
5^3
5 x 5 x 5
=125
Answer:
[tex]5^{3} = 125[/tex]
Step-by-step explanation:
Mark me brainllest
Help Willing To Give Brainiest To Whoever Gets It Right
Answer:
Solution :-In figure 1 value of y is 1
In figure 2 value of y is 6
In figure 3 value of y is 5
[tex] \\ [/tex]
In August 2003, 56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has increased due to increased use of technology in the workplace. He takes a random sample of 30 employed adults and finds that 21 of them feel that basic mathematical skills are critical or very important to their job.
Required:
Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the a = 0.05 level of significance?
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
A diner sells large drinks for 3$ and small drinks for 2$. Last month, they sold 420$ of the large size. How many large size drinks were sold last month?
Answer:
140 Large sized drinks were sold last month
Step-by-step explanation:
Each large drink is sold at $3
Therefore, we divide the amount of money which is $420 by $3
= $420 ÷ $3 = 140 Large sized drinks
Which expression is equivalent to 6x-9•3
What is c/6=9 equals to
c = 54
!!!_!£((£2((2)1)1)1