Answer:
Coordinates of point R = (6,5)
Step-by-step explanation:
Given;
Point A(2 , 1)
Q(-4 , -5)
m1:m2 = 3 : 2
Find:
Coordinates of point R
Computation:
X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)
2 = [(3)(x2) + (2)(-4)] / (3 + 2)
2 = [3x2 - 8] / (5)
10 = [3x2 - 8]
3x2 = 18
x2 = 6
Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)
1 = [(3)(y2) + (2)(-5)] / (3 + 2)
1 = [3x2 - 10] / (5)
5 = [3x2 - 10]
3y2 = 15
y2 = 5
Coordinates of point R = (6,5)
Simplify the following expression:
5(3x) – 3(7x – 2)
Answer:
[tex]5(3x) - 3(7x - 2) \\ = 15x - 21x + 6 \\ = - 6x + 6 \\ = 6(1 - x)[/tex]
Answer:
-6x+6
Step-by-step explanation:
Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.
Answer:
Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.
Step-by-step explanation:
:D
Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle
90 degrees
65 degrees
25 degrees
155 degrees
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Answer:
(b) 65 degrees
Step-by-step explanation:
When angles are complementary, their total is 90°. The measure of the other angle is ...
90° -25° = 65° . . . . . the measure of the other angle
i need help with this
Answer:
1)18.73
2)7.55
3)42.06
4)14.32
5)9
6)8.60
Step-by-step explanation:
What is angle M and N and the length of NP
Best answer gets brainliest!!!!
Answer:
3
Step-by-step explanation:
Answer:
Angle M and N is 45 degrees, and the length of NP is approximately 6 cm
Step-by-step explanation:
With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.
*triangles add up to a total of a 180 degrees, (180 - 90 = 90)
9 ÷ 2 = 45
So: ∠M = 45° and ∠N = 45°
To find the length of NP, use the pythagorean theorem.
a² + b² = c²
a = MP = 5
b = NP = x
c = MN = 7.8
(5)² = 25
(7.8)² = 60.48
25 + x² = 60.48
x² = 60.48 - 25
x² = 35.84
x = √35.84
x = 5.986 = 5.99
NP = 5.99 = 6
Gotta make this fast, im running out of points.
Answer:
335 mm²
Step-by-step explanation:
This will be so easy, that you can do it in the future by yourself!
Okay let's start by splitting this figure, the easiest way seems to be by cutting off that little part, you know what just let me show a picture.
Okay you shuold be able to see the picture, so the small square has an area of 20, since 5 times 4 is 20 mm! The larger square has an area of 315!
How did I find this? Take that small 10mm in the side and add it to 5mm, that would be 15. 15 times the bottom the width, it would be 15 * 21. 15 times 21 is equal to 315.
Now, we add both those areas together, to get ourselves a nice little 335 mm²
I hope that helped, have a great day!!
Helpppp!! This is wayyyy overdue and i only have a couple more questions on this paper.
Answer:
10.2a+3+3a-1+a
= 6a+2
=2(3a+1)
11)2y-1+3y-2+2y+2+2y-2+y
=10y-3
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
90+51+x=180(sum of interior angles of a triangle)
141+x=180
x=180-141
x=39 degree
Step-by-step explanation:
How is everbody doing today?
Answer:
:)))))))))))))))))) boring
Answer:
Doing alright.
Thanks for asking.
Step-by-step explanation:
A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement
Answer:
C
Step-by-step explanation:
It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.
What is the sample?A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.
If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.
Therefore, the correct answer is C. the sample had to have been selected without replacement.
Learn more about the sample here:
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PLZZ no files
Marcos needs to buy a piece of fabric with a length of 1.3 meters. The fabric costs $0.45 per inch.
Marcos determines the calculation as 1.3m
100cm
1m
(2.54cm
$0.45
lin.
= 148.59.
lin
What is the error in Marcos' reasoning, and how much will the fabric cost?
А
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
B
Marcos made an incorrect conversion from centimeters to inches. The correct price is $14.86.
С
Marcos made an incorrect conversion from meters to centimeters. The correct price is $23.03.
D
Marcos made an incorrect conversion from meters to centimeters. The correct price is $14.86.
I’m
Answer:
А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
Step-by-step explanation:
Given that,
Length of fabric = 1.3 meters
We know that,
1 m = 100 cm
⇒1.3 m = (1.3)×100 = 130 cm
⇒1.3 m = 130 cm
Now,
We know that
1 inch = 2.54 cm
and
1 cm = 0.3937 inches
⇒130 cm = (130)×(0.3937) inches
= 51.181 inches
⇒130 cm = 51.181 inches
Now,
Given that,
Cost of 1 inch = $0.45
⇒Cost of 51.181 inches = $(51.181)×(0.45)
= $ 23.03
∴ we get
The cost of fabric = $23.03
and
The correct option is - А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
Initially Sam receives $40 and every year she receives a deposit that increases the amount by $20 from
the previous year. Find the total amount deposited by her 18th birthday.
Answer:
1080
Step-by-step explanation:
Lexi is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 feet away from the hook. If Lexi is 20 feet away from the fish, how far below Lexi is the hook?
I don't know what that is
Step-by-step explanation:
One Pythagorean Triple is 3, 4, 5. 32 + 42 = 52
Any multiple of the three numbers is also a Pythagorean Triple:
(3 · 3)2 + (3 · 4)2 = (3 · 5)2
92 + 122 = 152
96g + 80f and explain
Answer:
16(6g + 5f)
Step-by-step explanation:
To factor 96g + 80f, we must find the GCF of 96 and 80. We don't factor g and f since they're totally different and can't be factored.The GCF of 96 and 80 is 16.To factor the equation:
96g + 80f
16(6g + 5f)
Donna fed of the chickens at a farm. Which decimal is equal to the fraction of 11
chickens Donna fed?
A. 0.09
B. 0.09
C. 0.01
D. 0.01
Answer:
I will just guess 1/11 is what ur saying so a and b or 0.0909
Step-by-step explanation:
What is the area of the quadrilateral and what is the perimeter
Answer:
Area of Trapezoid = (b1 + b2)h
2
Area = (9 in + 17 in) (3 in = 1/4 ft)
2
A = (26 in)(3 in)/2
A = 78 in2/2
A = 39 in2
Perimeter = bi + b2 + 2l
P = 9in + 17 in + 2(5 in)
P = 26 in + 10 in
P = 36 inches
pls help finding this out
Use the Greatest common factor and the distributive property to write equivalent expressions in factored form 24f + 56g *
Answer:
8(3f + 7g)
Step-by-step explanation:
The GCF of 24 and 56 is 8.
24f + 56g
8(3f + 7g)
Cassie rolls a fair number cube with 6 faces labeled 1-6. She rolls the number cube 300 times. Which result is most likely?
a.Cassie will roll a 1 or 2 about 50 times.
b.Cassie will roll an even number exactly 150 times.
c.Cassie will roll a 1 or 2 exactly 50 times.
d.Cassie will roll an even number about 150 times
Answer: B
Step-by-step explanation:
Process of elimination:
A: 1 or 2 is 2 favorable outcomes
2/6 or 1/3
one third of 300 is 100, not 50
B: 2, 4, and 6 are even numbers (3 favorable outcomes)
3/6 or 1/2
1/2 of 300 is 150
I say the answer is B. Sorry if I’m wrong.
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve
Answer:
The test statistic is z = -2.11.
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Group 1: Sample of 35, mean of 1276, standard deviation of 347.
This means that:
[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]
Group 2: Sample of 35, mean of 1439, standard deviation of 298.
This means that:
[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]
Test if there is a difference in productivity level.
At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-163 - 0}{77.3144}[/tex]
[tex]z = -2.11[/tex]
The test statistic is z = -2.11.
Hank spends 7 hours doing work outside each week as part of his chores. For every extra hour he spends working outside beyond
the 7 hours, his parents pay him $9. How much money will he be paid if he spends 12 hours working outside?
A. $45
ОВ.
$14
C. $171
D. $108
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Answer:
A. $45
Step-by-step explanation:
12 hours is 5 more than 7 hours.
Hank will be paid 5 × $9 = $45 if he spends 12 hours working outside.
13. Describe the type of solution for the
linear system of equations given below.
(x+4y=7
8y = 14 - 2x
Answer: infinite solutions
Step-by-step explanation:
Select the expressions that are equivalent to 9p + 8p.
A. 17p
B. 2p + 16p
C. p • 17
D. 3p + 13p
A. 17p
Step-by-step explanation:
hope this helps ya :)
Twelve people ordered calculators. The least expensive was $5.95 and the most expensive was $12.95. Half ordered a $9.95 calculator. Select the best estimate of the amount spent on calculators.(1 point)
$125
$90
$160
$140
Answer:
Round up all costs
Least expensive: $6
Most expensive: $13
Half (half of 12 people is 6) ordered $10 calculators so 6x10=$60
Other half
(6+13)/2= $9.5 round up to $10 so 6x10=$60
$60 + 60=$120 best estimate $125
Step-by-step explanation:
The required, best estimate of the amount spent on calculators is $125. Option A is correct.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Since half of the twelve people ordered a calculator costing $9.95, there are 6 such people. Let the remaining 6 people have ordered the cheapest calculator, which costs $5.95. Then the total amount spent on calculators is:
6 x $5.95 + 6 x $9.95 = $35.70 + $59.70 = $95.40
However, we also need to take into account the possibility that some people may have ordered more expensive calculators. We know that the most expensive calculator costs $12.95, so let's assume that all 12 people ordered this calculator. Then the total amount spent on calculators would be:
12 x $12.95 = $155.40
Since the actual amount spent is somewhere between $95.40 and $155.40, the best estimate of the amount spent on calculators is around the midpoint of these values:
($95.40 + $155.40) / 2 = $125.40
Therefore, the best estimate of the amount spent on calculators is $125.
Learn more about round the decimal here;
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A waitress worked 5 hours at the pizzeria and earned $59.25. How much would the waitress expect to earn in 8 hours?
Answer: 94.80
Step-by-step explanation:
First, let's divide the salary she made from 5 hours of work by 5 in order to see how much she makes in a single hour.
[tex]\frac{59.25}{5} = 11.85 per hour[/tex]
Multiply this by 8 to find her amount made in 8 hours.
11.85 x 8 = 94.80
Find the zeros of the function y=x(x+2)(x-4)
Answer:
first x= -2
second x= 2
third x= 4
Which statement is true for the values of Pand Q on this number line? + Q + -2 1 -4 -3 0 1 A 응 4 B. PxQ5 C P+Q> -4 D P - Qo
help asap pls..........
help quicklyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer: A.
Explanation: 4 + -4 = 0 and 3 - 3 = 0
I think the answer is
(c.) 1 and -12
Anastasia hits her golf ball off the tee. The height of the golf ball is modeled by the function f(x) =-5x^2+25x+1, where x is the number of seconds after the golf ball is hit. How long is the golf ball in the air?
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Answer:
5.04 seconds
Step-by-step explanation:
Assuming the ball is in the air until f(x) = 0, we want to find x such that ...
0 = -5x² +25x +1
0 = x² -5x -1/5 . . . . . divide by -5
1/5 = x² -5x . . . . . . . add 1/5
1/5 +25/4 = (x² -5x +25/4) . . . . complete the square
129/20 = (x -5/2)² . . . . . . . . . . write as a square
x = 5/2 +√(129/20) ≈ 5.039685 . . . . square root, add 5/2
The ball stays in the air about 5.04 seconds.