Answer:
11
Step-by-step explanation:
The distance between them can be calculated using Distance Formula , the points here are (8,7) and (1,-2) . Using Distance Formula we have ,
⇒ D = √ [ (x_2 - x_1)² + (y_2 - y_1)² ]
⇒ D = √ [ (8-1)² + (7+2)² ]
⇒ D = √ [ 7² + 9² ]
⇒ D = √ [ 49 + 81 ]
⇒ D = √ 130
⇒ D = 11.401 units
Rounding off we have , 11.401 ≈ 11 units .
Hence the required answer is 11 unitsMuhammad spent $45 buying three pizzas and two orders of wings for his roommates. Each pizza cost twice as much as the wings +1 dollar what does one order of wings cost?
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen. What is E[G]
This question is incomplete, the complete question is;
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen.
a) What is E[G] or range of G
b) Give the distribution over the random variable G
Answer:
a) E[G] is [ 0, 1 , 2 ]
b)
the distribution over the random variable G.
x P(x)
0 0.0667
1 0.4667
2 0.4667
Step-by-step explanation:
Given the data in the question;
Number to be chosen is 2
from 7 girls and 3 boys
a) range of G
number of girls can be; [ 0, 1 , 2 ]
Therefore, E[G] is [ 0, 1 , 2 ]
b) he distribution over the random variable G.
Distribution of the random variable G is Hypergeometric;
so
with P( G=g ) = P( getting g girls from 7 and 2-g boys from 3)
= (([tex]^7C_g[/tex]) × ([tex]^3C_{2-g[/tex])) / [tex]^{10}C_2[/tex]
now since, the range of G is [ 0, 1 , 2 ]
P( G=0 ) = (([tex]^7C_0[/tex]) × ([tex]^3C_{2[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(0!(7-0)!)) × (3!/(2!(3-2)!))] / (10!/(2!(10-2)!))
= [1 × 3] / 45 = 3/45 = 0.0667
P( G=1 ) = (([tex]^7C_1[/tex]) × ([tex]^3C_{1[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(1!(7-1)!)) × (3!/(1!(3-1)!))] / (10!/(2!(10-2)!))
= [ 7 × 3 ] / 45 = 21/45 = 0.4667
P( G=2 ) = (([tex]^7C_2[/tex]) × ([tex]^3C_{0[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(2!(7-2)!)) × (3!/(0!(3-0)!))] / (10!/(2!(10-2)!))
= [ 21 × 1 ] / 45 = 21/45 = 0.4667
Therefore, the distribution over the random variable G.
x P(x)
0 0.0667
1 0.4667
2 0.4667
If F(x) = 5x – 7 and G(x) = -2x+9, what is F(G(x))?
A. -10x+38
B. 10x2 -59x+63
C. -10x2 +59x-63
D. -10x+23
What is the answer please help me no links
Answer:
D)75miles
Step-by-step explanation:
they were both traveling at 75 miles per hour and Kristin drove one hour more than Todd
D) 75 miles
Step-by-step explanation:
Todd drove 375 miles in 5 hours (75 mph). Kristin drove the same speed (75 mph) in 6 hours.
75 mph x 6 hours = 450 miles
450-375= 75 more miles
Question 10 > Two skiers are 43.5 kilometers apart and head towards each other. They meet in 1.5 hours. If the second skier is 7 kilometers per hour faster the the other, find the speed of each skier? Distance || Rate || Time Slow Skier Fast Skier Total The slow skier travels at kilometers per hour. The fast skier travels at kilometers per hour. Question Help: Message instructor Submit Question
Answer:
The first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.
Step-by-step explanation:
Given that two skiers are 43.5 kilometers apart and head towards each other, and they meet in 1.5 hours, if the second skier is 7 kilometers per hour faster the other, to find the speed of each skier the following calculation must be performed:
43.5 / 1.5 = 29
29 - 7 = 22
2/22 = 11
11 x 1.5 + 18 x 1.5 = X
43.5 = X
Thus, the first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.
Need help don’t understand thank you
Answer:
1: mean equals 17.417, median is 12.75, mode is 8.2, range is 33, the minimum is 8.2 the maximum is 41.2. The IQR is 16.55, the quartiles is q1: 8.95, q2: 12.75, q3 is 25.5, there are no outliers.
2: the best middle is 12.75 because the median is usually the middle number but if you orgainze the numbers there will be two but you will end up getting 12.75 as your median. take the two middle number add together then divide by 2 then that is your answer.
Step-by-step explanation:
GOOD LUCK
Airlines monitor the causes of flights arriving late. A total of 75% of flights are late because of weather, while 35% of flights are late because of ground operations. A full 10% of flights are late because of weather and ground operations. What is the joint probability that a flight arrives late because of weather and ground operations
Answer:
36% is the joint probability that a flight arrives late because of weather and ground operations
Step-by-step explanation:
Given
% of flight late because of weather = 0.75
% of flight late because of ground operation = 0.35
% of flight late because of both weather and ground operation = 0.10
The probability of joint probability that a flight arrives late because of weather and ground operations is equal to
p (A and B) + {P(A) * P(B)}
0.10 + (0.75 * 0.35)
0.36
or 36%
Answer:36%
Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.
Type the correct answer in each box.
y у
&
X
1000
Z
1500
The three interior angle measures of this triangle are x=
y=
, and z=
Reset
Next
2021 Edmentum. All rights reserved.
Answer:
x = 30°
y = 70°
z = 80°
Step-by-step explanation:
[tex]x = 180 \degree - 150 \degree = 30 \degree \\ \\ z = 180 \degree - 100 \degree = 80 \degree \\ \\ y = 180 \degree - (30 \degree + 80 \degree ) \\ \\ y = 180 \degree -110 \degree \\ \\ y = 70 \degree[/tex]
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
Answer:
C. Mushrooms
Step-by-step explanation:
Mushrooms are known to be decomposers, they break down nutrients.
plzzzz help for brianly
Answer:
the answer is A
Step-by-step explanation:
PLEASEEE HELP I WILL MARK YOU BRAINIEST!!!
Answer:
26
Step-by-step explanation:
duh....
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.6 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 4.9 pounds/square inch with a variance of 0.81. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
Decision Rule; Reject H₀ if t > 1.708
Step-by-step explanation:
Given the data in the question;
sample size n = 26
sample mean x' = 4.9
Variance = 0.81
standard deviation σ = √variance = √0.81 = 0.9
level of significance ∝ = 0.05
Claim;
Null hypothesis H₀ : μ = 4.6
Alternative hypothesis H₁ : μ > 4.6
Test Statistics;
Right tailed test
Now, decision rule for rejecting H₀;
degree of freedom df = n - 1 = 26 - 1 = 25
so, Right tailed test { > in H₁ }
Hence, Critical Value = [tex]t_{\alpha ,df[/tex] = [tex]t_{0.05, 25[/tex] = 1.708
Decision Rule; Reject H₀ if t > 1.708
If the price of onions is $8 per pound, how much would 4.7
pounds of onions cost?
Answer:
37.6 dollars
Step-by-step explanation:
4 pounds = 32 dollars
0.2 pound = 1.6 dollars
0.5 = 4 dollars
0.1 = 0.8 dollars
What is the slope intercept form of the equation below?
2x+5y=40
Oy= 52 - 20
Ox+y=5
y = 2 x + 4
Oy=+8
Simplify 3x2y4 x 2x6y
Answer:
(3 × 2x^8y^5) hope this helps
Help ASAP
Use the graph to find the solutions of – x2 - x + 4 = 0.
y У
2
Х
O
-A-2
-2
-4
and x =
Answer:
From the graph, we can see the parabola cuts the x-axis at two different points and those will be the solution of our equation.
solution of [tex]1/2x^{2} -x+4=0[/tex]
[tex]x=-4,2[/tex]
[tex]x_{1} =-4\\\\x_{2} =2[/tex]
[tex]-----------[/tex]
hope it helps...
have a great day!!
Ms. Alders has $50 to buy prizes for the treasure box in her classroom. She bought 12 packages of stickers, 8 boxes of pencils, and 14 boxes of erasers. Each package of stickers cost $1.50, each box of pencils cost $1.35, and each box of erasers cost $0.80. How much money did Ms. Alders have left after these purchases?
A.$40.00
B.$10.00
C. $16.00
D $34.00
please help me i really need help please help me please
Answer:
F'=(1,-5)
Step-by-step explanation:
First off, F is moved 4 units right and 2 units down: add 4 to the x component of the coordinate and take 2 from the y component:
-3+4=1
7-2=5
So our point is (1.5) before it is reflected over the y-axis.
When a point (a,b) is reflected over the y-axis, it's coordinates change to (a,-b). Therefore (1,5) changes to (1,-5)
от
Background
14/15 -
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
a. Using only miles
b. Using a whole number of miles and a whole number of feet
Answer:
2.75 miles, 14520 feet
Step-by-step explanation:
11 miles/4=2.75
1 mile=5280 feet
2.75 miles=14520 feet
PLEASE HELP
2!/0!=
0
2
undefined
Answer:
2
Step-by-step explanation:
any expression divided by 1 remains the same
you can also calculate the factorial
PLEASE HELP ME ........
Answer:
I can´t see...
Step-by-step explanation:
A rectangle measures 2 2/3 inches by 1 2/9 inches. What is its area?
Answer:
3.259259259259 in²
Step-by-step explanation:
Answer:
3 7/27
Step-by-step explanation:
Ok so first you do
2×1 = 2, then
2×2/9 = 4/9, then
1×2/3 = 2/3, then
2/3×2/9 = 4/27, then add all of those...
2+4/9+2/3+4/27= 3 7/27
Hope this helps!! :D
Which inequality can be used to find the domain of
Answer:
1/2 x -10 ≥ 0
Step-by-step explanation:
We know that a square root must have an answer that is greater that or equal to zero. The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero. To find the domain we solve that equation to determine the value of x.
1/2 x -10 ≥ 0
In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation.
How many ways are there to pick a subset of 3 different letters from the 26-letter alphabet?
a.
Combination; Subscript 23 Baseline C Subscript 3 Baseline = 1771
b.
Permutation; Subscript 23 Baseline P Subscript 3 Baseline = 10626
c.
Permutation; Subscript 26 Baseline P Subscript 3 Baseline = 15600
d.
Combination; Subscript 26 Baseline C Subscript 3 Baseline = 2600
Answer:
I'm not sure, but I put down B
Step-by-step explanation:
find the area of the triangle by forming a parallelogram
!NO LINKS, NO FILES!
please :)
Write 3 ratios equivalent to 2/5
Answer:
4/10, 6/15, 8/20
Step-by-step explanation:
helpppppppppppp pleaseeeeeeeeeeeeew
Answer:
volume of cylinder = πr^2h
=π (2)^2 * 5
= π* 4*5
= 20π unit^3
or
= 3.14* 4*5 = 62.8 unit^3
Bernie had 4 candy bars. He ate one of them and decided to split the rest with his 9 friends. what fraction of a candy bar did each friend get?
Answer: 1/3
Step-by-step explanation:
Each friend gets 1/3
1/3 / 9 = 3
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer:
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.
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The angle measures of a triangle are shown in the
diagram.
What is the value of x?
FOR BRAINLIST!!