Explanation:
The closer r gets to +1 or -1, the stronger the linear relationship will be.
If r is really close to +1, then we have a strong positive linear relationship. If r is close to -1, then we have a strong negative linear relationship.
Of the four choices given, we see that r = -0.94 is the closest to either endpoint mentioned. The next closest is r = 0.91
Put another way, we're looking for the r value that is furthest way from 0, but also that makes the inequality [tex]-1 \le r \le 1[/tex] true. Choice A fits that description best.
Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A. Of those students, 1/9 got a perfect score. How many students got a perfect score?
Answer:
3 students
Step-by-step explanation:
Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A.
Hence, the number of students that had an A = 3/10 × 90
= 3 × 9 = 27 students
Of those students, 1/9 got a perfect score.
This means of the 27 students, 1/9 had a perfect score.
This means:
1/9 of 27 students = 1/9 × 27
= 3 students
How many students got a perfect score?
Hence, 3 students got a perfect score.
An urn contains 5 white and 3 black balls. Two balls are drawn at random without replacement. If X denotes the number of white balls, then find the probability distribution of X.
Answer:
Generally the probability distribution of the number of white balls (X) is
X 0 1 2
P(X) 0.35714 0.5357 0.10714
Step-by-step explanation:
From the question we are told that
The number of white balls is [tex]N_w = 5[/tex]
The number of black balls is [tex]N_b = 3[/tex]
Generally the total number of balls the urn contains is
[tex]N_t = N_w + N_b = 5 + 3 = 8 \ balls[/tex]
Generally the probability that of the two balls drawn that the balls are 2 white balls and 0 black balls is
[tex]P( 2_w \ , 0_b) = \frac{ ^{N_w} C _2 * ^{N_b} C _0 }{^{N_t} C_2}[/tex]
Here C stands for combination hence we would be making use of the combination feature in our calculator
=> [tex]P( 2_w \ , 0_b) = \frac{ ^5 C _2 * ^3 C _0 }{^{8} C_2}[/tex]
=> [tex]P( 2_w \ , 0_b) = 0.10714[/tex]
Generally the probability that of the two balls drawn that the balls are 1 white balls and 1 black balls is
[tex]P( 1_w \ , 1_b) = \frac{ ^{N_w} C _1 * ^{N_b} C _1 }{^{N_t} C_2}[/tex]
=> [tex]P( 1_w \ , 1_b) = \frac{ ^5 C _1 * ^3 C _1 }{^{8} C_2}[/tex]
=> [tex]P( 1_w \ , 1_b) = 0.5357[/tex]
Generally the probability that of the two balls drawn that the balls are 0 white balls and 2 black balls is
[tex]P( 0_w \ , 2_b) = \frac{ ^{N_w} C _0 * ^{N_b} C _2}{^{N_t} C_2}[/tex]
=> [tex]P( 0_w \ , 2_b) = \frac{ ^5 C _0 * ^3 C _2 }{^{8} C_2}[/tex]
=> [tex]P( 0_w \ , 2_b) = 0.35714[/tex]
Generally the probability distribution of the number of white balls (X) is
X 0 1 2
P(X) 0.35714 0.5357 0.10714
Can someone work out this for me :)
Answers:
a) First statement. Same as 1/2 x 6/11.
b) Second statement. Smaller than 6/11.
c) First statement. Same as 6/11 divided by 2.
================================================
Explanation:
Part (a)
The "of" means "multiply". So we simply replace "of" with the multiplication symbol and that's all we need to do.
---------------
Part (b)
Taking half of something will make it smaller. For example, if you have 100 cookies and you took half of them, then you'll be taking 50 cookies. The value 50 is smaller than 100.
The same idea applies to 1/2 x 6/11.
---------------
Part (c)
Multiplying by 1/2 is the same as dividing by 2.
So [tex]\frac{6}{11} \times \frac{1}{2} = \frac{6}{11} \div 2[/tex]
Note that [tex]\frac{1}{2} \times \frac{6}{11}[/tex] and [tex]\frac{6}{11}\times \frac{1}{2}[/tex] are the same thing because we can multiply two numbers in any order we want.
Answer:
a) First statement. Same as 1/2 x 6/11.
b) Second statement. Smaller than 6/11.
c) First statement. Same as 6/11 divided by 2.
Step-by-step explanation:
Dont understand any of this
Answer:
3. Triangle PQT is congruent to triangle RQS
1. Given: PT=RS
Step-by-step explanation:
3 because if CPTPC (I think) and 1. because it was given,
help me please 9x+184=7x+156
x=?
Answer:
I believe x = -14.
I might be wrong
Step-by-step explanation:
If you deposit $5000 into a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?
Answer:
$3250
Step-by-step explanation:
interest=deposit×simple interest×time
interest=5000×6.5%×10
5000×65/1000×10=3250
ans;$3250
Which statement is best supported by the table? Company 1 and company 4 charge the same rate per mile. Company 2 and company 3 charge the same rate per mile. Company 2 charges only a flat fee and does not charge per mile. Company 3 charges only a flat fee and does not charge per mile. Mark this and return
Answer:
Its company 1 and 4
Step-by-step explanation:
Answer:company 1 & 4
Step-by-step explanation:
just took the test;)
which expressions are equivalent to 3 to the power of 5?
81·3
3·5
9·27
3·3·3·3·3
9·9
Answer: 3·3·3·3·3
Step-by-step explanation:
Answer:
3*3*3*3*3
Step-by-step explanation:
3 to the power of 5 is 3 times 3 5 times.
Answer the following question. G(2)
Answer:
12
Step-by-step explanation:
g(x)=5x-4
g(2)=5(2)-4
g(2)=10-4
g(2)=6
6x2=12
g=12
A cake mix calls for these ingredients. 3 cups of milk 6 cups of flour 2 cups of sugar 1 cup of oil Which is the lowest ratio? StartFraction milk Over flour EndFraction StartFraction sugar Over milk EndFraction StartFraction oil Over sugar EndFraction StartFraction sugar Over flour EndFraction
The smallest ratio of the cake mix is the Ratio of sugar to flour which is 1/3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Ratio of milk to flour = 3/6 = 1/2
Ratio of sugar to milk = 2/3 = 2/3
Ratio of oil to sugar = 1/2
Ratio of sugar to flour = 2/6 = 1/3
The smallest ratio of the cake mix is the Ratio of sugar to flour which is 1/3
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
Answer: SUGAR/FLOUR
Step-by-step explanation: proof / Edge 2022
Michael makes 16/5 pounds of pumpkin pie filling per minute. How many pounds of pie filling will he make in half an hour?
A.13/10
B.96
C.13/5
D.8/10
Answer:
the answer would be c
Step-by-step explanation:
The amount of pounds of pumpkin made in 30minutes is 96 pounds
Ratio and proportionsFractions are written as a ratio of two integers.
If Michael makes 16/5 pounds of pumpkin pie filling per minute, then;
16/5 pounds of pumpkin = 1 minutes
In order to determine the amount made in half an hour (30 mins)
x = 30mins
Take the ratios
16/5x = 1/30
5x = 480
x = 480/5
x = 96
Hence the amount of pounds of pumpkin made in 30minutes is 96 pounds
Learn more on ratio here: https://brainly.com/question/2328454
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An open box is formed from a rectangular piece of cardboard that is 5 in longer than it is wide, by removing squares of side 4 in from each corner and folding up the sides. If the volume of the carton is then 336 in what were the dimensions of the original piece of cardboard?
This question is incomplete
Complete Question
An open box is formed from a rectangular piece of cardboard that is 5 in. longer than it is wide, by removing squares of side 4 in. from each corner and folding up the sides. If the volume of the carton is then 336 in³, what were the dimensions of the original piece of cardboard?
Select one:
a. 15 in. by 20 in.
b. 7 in. by 12 in.
c. 11 in. by 16 in.
d. 19 in. by 24 in.
Answer:
a. 15 in. by 20 in.
Step-by-step explanation:
We are told that:
An open box is formed from a rectangular piece of cardboard that is 5 in longer than it is wide, by removing squares of side 4 in from each corner and folding up the sides.
Volume of the carton = 336 in³
Step 1
We find the area of the new piece of the cardboard
Volume of the carton/side of the square removed
= 336 in³/4 in
= 84 in²
Step 2
An open box is formed from a rectangular piece of cardboard that is 5 in longer than it is width.
Length = 5 + Width
Hence, we find the factors of 84 in² that has a difference of 5 in
Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84
Hence, the Factors with a difference of 5 inches = 7 and 12
The Length = 12 inches
Width is 7 inches.
The dimensions of the new piece of cardboard is 7 inches by 12 inches
Step 3
What were the dimensions of the original piece of cardboard?
Remember in the question, we are told that squares of sides 4 inches were removed from both corners
Hence,
4 inches + 4 inches = 8 inches was removed.
The dimensions of the original piece of cardboard =
Original Width = Width of the new cardboard + 8 inches
= 7 inches + 8 inches
= 15 inches.
Original length = Length of the the new cardboard + 8 inches
= 12 inches + 8 inches
= 20 inches.
Therefore, the dimensions of the original piece of cardboard is 15 inches by 20 inches
A rectangle has length = 3x + 2 and width = 2x + 5
21. Find the perimeter
Perimeter =
22. Find the Area
Area =
Answer:
Perimeter-6x+4 + 4x+10= 10x+14
Area-(3x+2)(2x+5)=6x+15x+4x+10= 25x+10
9) -5k = -10 Help me plz
Answer:
[tex]\boxed {k = 2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]k[/tex]:
[tex]-5k = -10[/tex]
-Divide both sides by [tex]-5[/tex]:
[tex]\frac{-5k}{-5} = \frac{-10}{-5}[/tex]
[tex]\boxed {k = 2}[/tex]
Therefore, the value of [tex]k[/tex] is [tex]2[/tex].
The Homerun Hitter's Academy charges thirty-five dollars per hour for batting lessons, with a registration fee of fifteen dollars per year. Janice's parents paid $155 in the month of August. Part A: Using h to represent hours, write an equation to determine how many hours of batting lessons Janice had in the month of August. Part B: Solve the equation you wrote in Part A for h
Answer:
h = 4 hours
Step-by-step explanation:
Charges per hour = $35
Registration fee = $15
Janice's parents paid $155 in the month of August.
Let
h = number of hours
equation to determine how many hours of batting lessons Janice had in the month of August.
15 + 35h = 155
B. 15 + 35h = 155
35h = 155 - 15
35h = 140
Divide both sides by 35
h = 140 / 35
= 4
h = 4 hours
The Confederation Bridge connects News Brunswick to Prince Edward Island. The main part of the bridge rests on piers that form 43 segments. One segment is 8.2 x [tex]10^{2}[/tex] feet. What is the approximate length of the bridge in scientific notation?
Answer: [tex]3.5[/tex] × [tex]10^{4}[/tex]
Step-by-step explanation:
Write an expression to represent the problem.
(8.2 × 10²) × 43
= (8.2 × 10²) x (4.3 x [tex]10^{1}[/tex])
Now, multiply.
(8.2 × 10²) x (4.3 x [tex]10^{1}[/tex])
= (8.2 x 4.3) x ([tex]10^{2}[/tex] x [tex]10^{1}[/tex])
= 35.26 x [tex](10)^{2+1}[/tex]
= 35.26 x 10³
= 3.526 x [tex]10^{4}[/tex]
what is 4325000 as a scientific notation?
Answer:
4.325X10^6
hope this helps :))
Can someone help me with my geometry hw?...
Answer:
sure, i'll try my best!
Step-by-step explanation:
❤️✨
Answer:
ftftftftftfjhgrew
Step-by-step explanation:
4weyye45y5e4
If a system of linear equations has no solution, what does this mean about two lines?
Select all that apply.
a. Two solutions
b. Parallel lines
c. One solution
d. No points in common
e. Same line
Question 5
A teacher weighed 140 pounds in 2000 and weighs 190 pounds in 2020. What was the rate of change in
weight?
Answer:
35.71%
Step-by-step explanation:
((190 - 140) / 140) * 100 = 35.71 %
Express x in terms of y:
3(x + 2y) = 2x = 5y
Help me solve this problem please 12 please
help me pls !!!! i’m dumb
Answer:
212 is correct answer
Step-by-step explanation:
Torey wants to buy a Playstation 5 for $519.25. If he saves $30 per week, how many weeks will it take him to
have enough money for the Playstation 5?
Answer:
It will take him 12 weeks
Step-by-step explanation:
Answer:
18 weeks
Step-by-step explanation:
30 × 18 = 540.00
The speed of a rollercoastsr, in miles per hour, is modeled by the funtion g(x) = x⁴ - 4x² + 7x - 8, where x is time measured in seconds. How fast is the roller coaster travelling at 2 seconds?
Answer:
6mphStep-by-step explanation:
Given the expression
g(x) = x⁴ - 4x² + 7x - 8
we are expected to substitute x=2 into the expression and return the result
g(x) = (2)⁴ - 4(2)² + 7(2) - 8
g(x) = 16 - 4x4 + 14 - 8
g(x) = 16 - 16 + 14 - 8
g(x) =14 - 8
g(x) =6
From the substitution the roller coaster is travelling at speed of 6mph
GIVING BRAINLIST!!!
Column A
the volume of a cube with
side x, where x > 1
Column B
the volume of a rectangular solid with
sides x, x + 1, and x - 1, where x > 1
A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information
Answer:
its b
Step-by-step explanation:
I just got it right
30 POINTS!!! HELP ME PLZZ I NEED HELP WITH THIS!!!
Answer:
Step-by-step explanation:
3/12 x 2/9 = 24/27
452 divided 15 what would be the answer of this?
Answer:
37.67
Step-by-step explanation:
complete the table below i am stuck on it plz helpp !!!
Answer:
0 - 0 - 1
1 - 4 - 2
2 - 16 - 4
Step-by-step explanation:
I think this is right!!
Answer:
0- 0,1
1- 2,2
2- 8,4
Step-by-step explanation:
I used a calculator for this
16+24/8-6 is equal to _____.
6
-1
20
13
Answer:
13
Step-by-step explanation:
[tex]16 + \frac{24}{8} - 6 = 13[/tex]
Answer:-1
Step-by-step explanation:
you would add 16+24
which would equal 40
the divided by 40/8-6 = -1
