Answers
Answer:
x = 62
Step-by-step explanation:
62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
Related Questions
Answer all question
1.There is a circular path around a sports field. Erica takes 18 minutes to drive one round of the field.
Harriet takes 12 minutes. Suppose they both start at the same point and at the same time and go in
the same direction, after how many minutes will they meet?
2. Round the following to four significant figures.
i. 0.00095897
ii. 24596
Answers
Answer:
1. LCM of 18 & 12 = 36 minutes
2. 0.00095897
explanation.
2 18 2 12
____I______ ___l_________
3 9 2 6
____l_______. ___I_________
3 3 3 3
_____l________. ___l_________
l 1
18= 2×3×3 12=2×2×3
1 2 2 1
=1 × 3 =2 × 3
L.C.M= product of greatest power of each prime factor.
2 2
= 2 × 3
=4×9 = 36
hence, time taken by both to meet again
LCM of 18 & 12 =36 minutes
What is the slope of the line that passes through the points (-6, -2) and (2, -2)?
Answers
Answer:
0
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 - -2)/(2 - -6)
= (-2+2)/(2 +6)
= 0/8
= 0
Answer:
Slope is 0
Step-by-step explanation:
Slope formula is (y2-y1)/(x2-x1)
-2 - (-2)/2 - (-6)
0/8
0
A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months (INC. Magazine, February 2012). A categorical response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 180 companies are summarized as follows.
a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. At a .05 level of significance, what is your conclusion?
b. Discuss any differences in the employment plans for private and public companies over the next 12 months.
Answers
Answer:
employment plan for the next 12 months is not independent of the type of company
Step-by-step explanation:
H0 : employment plan for the next 12 months is independent of the type of company
H1 : employment plan for the next 12 months is not independent of the type of company
The Chisquare statistic, χ² :
χ² = (observed - Expected)²/ Expected
Given the data:
Observed values :
_________________ Company
Emp plan ________ private _____ public _total
Add employees _____ 37 ________ 32 __ 69
No change__________19 ________ 34 __53
Layoff employees ____ 16 ________ 42__58
Total ______________72 ________108 _ 180
The expected value counts :
(Row total * column total) / grand total
Expected Values:
27.6 ___41.4
21.2 ___ 31.8
23.2 ___34.8
Chi-Squared Values:
3.20145 ___2.1343
0.228302__ 0.152201
2.23448 ____1.48965
χ² = (3.20145 + 2.1343 + 0.228302 + 0.152201 + 2.23448 + 1.48965)
χ² = 9.440383
Degree of freedom, df (row - 1) * (column - 1) = (3-1) * (2 - 1) = 2 * 1 = 2
Pvalue from Chisquare statistic, df = 2
Pvalue = 0.008913
Since ;
Pvalue < α ; We reject the null and conclude that employment plan for the next 12 months is not independent of the type of company.
A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)
Answers
Answer:
[tex]V=6912ft^3[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]D=40ft[/tex]
Radius [tex]r=d/2=>20ft[/tex]
Depth at south [tex]d_s=3ft[/tex]
Depth at north [tex]d_n=8ft[/tex]
Average depth of the pool
[tex]d_a=\frac{3+8}{2}[/tex]
[tex]d_a=5.5ft[/tex]
Generally the equation for Volume is mathematically given by
[tex]V=\pi r^2h[/tex]
[tex]V=3.142*(20)^25.5[/tex]
[tex]V=6912ft^3[/tex]
What was the original price? Explain how you arrived at this answer.
ONLY ANSWER IF YOU KNOW THE ANSWER
Answers
Answer:
180
Step-by-step explanation:
120 divide by 2
then times by 3
In an all boys school, the heights of the student body are normally distributed with a mean of 68 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be taller than 72 inches tall, to the nearest thousandth?
Answers
Answer: 0%?
Step-by-step explanation: there isn't much to this problem because if it had a deviation of 3 from 68, it could be 7 digits from 65 to 71, but since 72 is out of the range, i can only say that this answer is not very correct if it has answer choices other than 0.
The probability is 0.160
What is probability?
'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'
mean (μ) = 68 inches
Standard Deviation (σ) = 3
We know,
Z = [tex]\frac{x - mean}{standard deviation}[/tex]
From the normal distribution bell curve, we can see that the percentage of students taller than 72 inches = 14% + 2%
= 16%
The probability that a randomly selected student will be taller than 72 inches = 16/100
= 4/25
= 0.16
= 16%
Hence, we can conclude, that the probability that a randomly selected student will be taller than 72 inches is 0.160
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
9. Find the length of X (in the picture) plssss I need help. (GIVING POINT'S AND BRAINLY)
Answers
Answer:
[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]
What is the area of the sector shown in the diagram below?
8 cm
40*
C
A. 89.4 cm2
B. 5.6 cm2
C. 25.1 cm2
D. 22.3 cm2
Answers
Answer:
the answer for this C.
Step-by-step explanation:
are
[tex]area \: of \: a \: sector \: is \: \frac{teter}{360} \times \pi {r}^2 \: [/tex]
[tex]therefore \: it \: is \: equal \: to \: \frac{40}{360} \times \frac{22}{7} \times 8 \times 8 \\ = \frac{40}{360} \times \frac{22}{7} \times 64 [/tex]
[tex]you \: then \: cancel \: 360 \: by \: 40. \\ that \: is \: \frac{1}{9} \times \frac{22}{7} \times 64 \\ \frac{1408}{63} \\ = 22.3.[/tex]
3. Write the ones digit in the square of each of the following numbers
a.13
b. 27
c.46
d.20
e.75
f.31
g.42
h.64
i.38
j.79
Answers
Answer:
a.9
b.9
c.6
d.0
e.5
f. 1
g.4
h.6
i.4
j.1
D(x, y) = (3x, 3y)
Preimage:P(1, -1), Q(2, 1), R(-2, 1)
Image: P'(,), Q'(,), R'(,)
Scale factor:
Answers
Step-by-step explanation:
I have no idea but here's thiss
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 3/8.
There are 72 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answers
Answer:
27
Step-by-step explanation:
specific probability = number of specific possibilities divided by number of total possibilities.
the number of total possibilities is 72 (we can pull one out of 72).
the probability of pulling a red back is 3/8.
so, to find the actual number of specific possibilities (actual number of red balls in the overall sample size of 72) we need to bring this ratio of 3/8 to an expression of x/72.
what is the factor to turn 8 into 72 ? 9.
8×f = 72
f = 72/8 = 9
to keep the ratio unchanged in its dimension, we need to apply the same factor to 3 to get x.
3/8 × f/f = x/72
3/8 × 9/9 = x/72
3×9 / 72 = x/72
3×9 = x = 27
so, the probability ratio based on actual possibilities (number of balls available) is 27/72
=>
there are 27 red balls in the bag of total 72 balls.
I WILL MARK BRANLIEST IF YOU ANSWER CORRECTLY
Answers
Answer:
ok what is your question.
Find the slope of the line that passes through the following points. Simplify answer (-6,8)and(-1,8)
Answers
Answer:
m = 0
General Formulas and Concepts
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points
Point (-6, 8)
Point (-1, 8)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{8 - 8}{-1 - -6}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{0}{5}[/tex]Divide: [tex]\displaystyle m = 0[/tex]Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether toreject the null hypothesis for the level of significance α.a. Left-tailed test, z = -1.32, α = 0.10b. Right-tailed test, z = 2.46, α = 0.01c. Two-tailed test, z = -1.68, α = 0.05
Answers
Answer:
1.) We don't reject the null
2.) We reject the Null
3.) We do not reject the null
Step-by-step explanation:
Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0
A.)
Left tail , Z = - 1.32 ; α = 0.10
We can use the Pvalue calculator from Z score :
Pvalue = 0.934
Pvalue > α ; Hence, we fail to reject the null, H0
B.)
Right-tailed test, z = 2.46, α = 0.01
Pvalue from Zscore calculator ;
Pvalue = 0.0069
Pvalue < α ; Hence, we reject the null, H0
C.)
Two-tailed test, z = -1.68, α = 0.05
Pvalue from Zscore calculator ;
Pvalue = 0.093
Pvalue > α ; Hence, we fail to reject the null, H0
a) Write 5^17 x 5^2 as single power of 5
Answers
Answer:
When we multiply two number with the same base but different power, the power gets added.
So, the answer is:
5^17*5^2
=5^(17+2)
=5^19
which of the following are not rational numbers ? (Choose all that apply.)
A. /5
B. 0.666
C. 16/9
D. -30
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
The square root of any integer that is not a perfect square will be irrational.
√5 is irrational
__
Any decimal number that terminates or repeats is a rational number, regardless of sign. All of the decimal numbers shown are rational. (All terminate after a finite number of digits.)
Of course, any ratio of integers is a rational number. That's what the word "rational" means.
Alexis pls answer this question you are sooooooooooooo good at math. (Nobody else answer this, only Alexis)
Answers
Answer:
5/8
Step-by-step explanation: Keep, Change and Flip so you do 1/2 times 5/4
Answer:
5/8
Step-by-step explanation:
To divide by a fraction. multiply by the reciprocal of that fraction.
1/2 * 5/4
Multiply the fractions across.
so 1*5=5, then do 2*4= 8
5/8
5.3x-4=15.61 solve for x please
Answers
Answer:
x = 3.7
Step-by-step explanation:
15.61 + 4 = 19.61
19.61 divided by 5.3 = 3.7
Therefore, x = 3.7
Also because it syas "5.3x", it means you have to times that number and x to get the total number; so we can do the equation.
The answer is written above these are filler words for explaining the answer you’re welcome :)
I WILL MARK BRAINLIEST!!!!
Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 35 degrees. And the depth of the ocean, at that point is 250 feet. How far away is she from the reef?
Answers
Answer:
435.8 feet
Step-by-step explanation:
law of sines:
*sin 90°/1 = sin 35°/250
cross-multiply to get:
x·sin35° = 250
x = 250/sin35°
x = 435.8
*we can assume the ocean surface and the reef 250 feet below forms a 90° angle
Each month your cell phone company charges you $ 50 for your plan plus 3 cents for each text you send. You have $ 140 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send _____________ _____________ texts this month in order to stay within
Answers
Answer:
3000 text messages can be sent without breaking the budget.
Step-by-step explanation:
Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:
(140 - 50) / 0.03 = X
90 / 0.03 = X
3000 = X
Therefore, 3000 text messages can be sent without breaking the budget.
2x-5y=22n y=3x-7 Use substitution to solve the system.
Answers
Answer:
x = 1 , y = -4
Step-by-step explanation:
2x - 5y = 22 ------- ( 1 )
y = 3x - 7 ------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
2x - 5 (3x - 7) = 22
2x - 15x + 35 = 22
- 13x = 22 - 35
- 13x = - 13
x = 1
Substitute x in ( 1 ) :
2x - 5y = 22
2 ( 1 ) - 5y = 22
- 5y = 22 - 2
-5y = 20
y = - 4
ASAP!!! There are three marbles in a bag. One is red and two are black. What is the probability of picking a red marble first, putting it back in the bag and then picking a black marble? Use the following probably need to find the answer.
Answers
Answer:
The probability of picking a red marble first then replacing it and getting a black marble is 2/9. (The last option.)
Step-by-step explanation:
Hey there!
The probability of first getting a red marble is 1/3 since we have 1 red marble out of 2 + 1 = 3 total.
We put the marble back. The probability of then choosing a black marble is 2/3, since we have 2 black marbles out of 3 total.
So we get 1/3 * 2/3 = 2/9
The probability of picking a red marble first then replacing it and getting a black marble is 2/9. (The last option.)
Hope this helps, please mark brainliest if possible. Have a nice day. :)
What are the solutions to this equation?
-7 + (x2 – 19) = 20
-10
5.6
There are no solutions.
10
-5.6
Answers
Find each missing length to the nearest tenth.
Answers
Answer:
8.944
Step-by-step explanation:
To find the missing Length, Use Pythagorean Theorem!
[tex]a^2+b^2=c^2[/tex]
[tex]4^2+8^2=c^2[/tex]
[tex]16+64=c^2[/tex]
[tex]80=c^2[/tex]
[tex]\sqrt{80} =8.944[/tex]
so it is approximately 10 but not quiet
hope this helps
16. Rachael teaches at the college and it pays $3000 per month. She spends $50 on groceries per
week. Netflix costs $9 per month. She pays $50/month for internet. Utilities cost $200 per
month. Rachael's phone bill is $82 per month. Find the net monthly cash flow. (assume 1 month
= 4 weeks).
Answers
Answer: Rachel gets a total of 2459 dollars to save each month.
Step-by-step explanation:
200+9+50+200+82=541
3000-541=2459
Have a stack of quarters
from the floor to the top of
your head OR $225?
Answers
Answer:
225 quarters are easy to loose and who will accept that many quarters
Step-by-step explanation:
Answer:
quarters
You will get more money
a principios de un mes, el precio de la gasolina de 95 octanos era de 750 el litro. si aunmento en un 12% el dia 10 y luego disminiyo un 5% el dia 24 ¿cual es el precio a fin de mes?
Answers
Answer:
750/100*12=90. 640, 37.5 O 32, entonces seria 670.5 o 673, tu decides, porque no se si el aumento o disminuyo del segundo es a base del valor inicial, pero yo diria que si, asi que suerte! espero te ayude
Please can someone help quick and now 115 students choose to attend one of three after school activities: football, tennis or running.
There are 54 boys.
52 students choose football, of which 25 are girls.
43 students choose tennis.
10 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answers
Answer:
only 20 students would
Step-by-step explanation:
the probability would be very since it is 20 out of 115. i hope this helped
you arrive in Mexico City with $360 how many pesos can you buy?
Answers
Answer:
7 442,84
Step-by-step explanation:
find f(-2) for f(x)=3•2^x
Answers
Answer:
0.75 or 3/4
Step-by-step explanation:
f(-2) = 3•2^-2
f(-2) = 3•0.25
f(-2) = 0.75 or 3/4
Hope this helps! :)