Answers
Answer:
[tex]\displaystyle y = -\frac{1}{4}x - 10[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 4 becomes −¼. Now, proceed with plugging the information into the Slope-Intercept Formula:
[tex]\displaystyle -11 = -\frac{1}{4}[4] + b \hookrightarrow -11 = -1 + b; -10 = b \\ \\ \boxed{y = -\frac{1}{4}x - 10}[/tex]
I am joyous to assist you at any time.
Answer:
y= - 1/4 of 10
Step-by-step explanation:
Related Questions
(Mixing Uniform and Binomial Distributions) A person arrives at a certain bus stop each morning. The waiting time, in minutes, for a bus to arrive is uniformly distributed on the interval (0, 15). (a) [1 pts] Find the mean waiting time. Show all work. (b) [1 pts] Find the standard deviation of the waiting times. Show all work. (c) [4 pts] Find the probability that the waiting time is between 5 and 11 minutes. Show all work. (d) [6 pts] Suppose that waiting times on different mornings are independent. What is the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings
Answers
Answer:
a
[tex]\mu_x =7.5 \ minutes [/tex]
b
[tex]\sigma_{x} = 4.33 \ minutes [/tex]
c
[tex]P(5 < X < 11 ) = 0.4 [/tex]
d
[tex]P(W = 4 ) = 0.228[/tex]
Step-by-step explanation:
From the question we are told that
The interval is [tex](w , y) = (0 , 15)[/tex]
Considering question a
Generally the mean waiting time is mathematically represented as
[tex]\mu_x = \frac{w + y}{2}[/tex]
=> [tex]\mu_x = \frac{0 + 15}{2}[/tex]
=> [tex]\mu_x =7.5 \ minutes [/tex]
Considering question b
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \frac{y - w}{\sqrt{\sqrt{12} } }[/tex]
=> [tex]\sigma_{x} = \frac{15 - 0}{\sqrt{\sqrt{12} } }[/tex]
=> [tex]\sigma_{x} = 4.33 \ minutes [/tex]
Considering question c
Generally the probability density function for a random variable X is
[tex]f(x) = \left \{ {{ \frac{1}{y} \ \ \ \ \ 0 < X < y } \atop {0} \\ \ \ \ Otherwise} \right.[/tex]
=> [tex]f(x) = \left \{ {{ \frac{1}{15} \ \ \ \ \ 0 < X < 15 } \atop {0} \\ \ \ \ Otherwise} \right.[/tex]
Generally the probability that the waiting time is between 5 and 11 minutes is mathematically represented as
[tex]P(5 < X < 11 )= \int\limits^{11}_{5} {f(x)} \, dx[/tex]
=> [tex]P(5 < X < 11 )= \int\limits^{11}_{5} {\frac{1}{15}} \, dx[/tex]
=> [tex]P(5 < X < 11 ) = \frac{1}{15} x | \left \ 11 } \atop {5}} \right.[/tex]
=> [tex]P(5 < X < 11 ) = \frac{1}{15} [ 11 - 5][/tex]
=> [tex]P(5 < X < 11 ) = 0.4 [/tex]
Considering question d
Generally the probability the waiting time is less than 5 minutes is mathematically represented as
[tex]P(X < 5) = \int\limits^5_{-\infty} {\frac{1}{15} } \, dx[/tex]
Given that time cannot be negetive
[tex]P(X < 5) = \int\limits^5_{0} {\frac{1}{15} } \, dx[/tex]
[tex]P(X < 5) = \frac{1}{15} * x | \left \ 5 } \atop {0}} \right.[/tex]
[tex]P(X < 5) =0.33.[/tex]
Generally the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings follows a binomial distribution because the number of trial is finite i.e 10 the probability of success is probability that the waiting time is less than 5 minutes and probability of failure is probability that the waiting time is not less than 5 minutes(i.e there is only two outcome )
Hence for a random variable K representing the number of times in the total of 10 mornings that the waiting is less than 5 minutes then
The probability the random variable(W) is exactly 4 is mathematically represented as
[tex]P(W = 4 ) = ^{10}C_4 * (0.33)^4 * (1- p)^{10 -4}[/tex]
Here C denotes combination
So
[tex]P(W = 4 ) = 0.228[/tex]
What is the slope of the line that passes through (-2, 7) and (4.9)? Type a numerical answer in the space provided. If
necessary, use the key for a fraction bar. Do not include spaces in your answer.
Answers
Answer:
1/3
Step-by-step explanation: hope this helps!
solve this -5x=3x-24
Answers
Answer:
x=19/3 x=6 1/3 x=6.333333333
Step-by-step explanation:
guys help how do i do this please hurry
Answers
Answer:
45 Degrees
Step-by-step explanation:
CEA and DEB are equal and AEF and BEG are equal hence 25+20 is 45
Step-by step explanation:
Statement Reason
∠AEF = 25° Vertically opposite angles ∠AEC = 20° Vertically opposite angles⇒ ∠AEC + ∠AEF = x
Substitute the values to find x.
⇒ ∠AEC + ∠AEF = x⇒ 20° + 25° = x⇒ x = 45°Solve : 21 divided by -3 =
Answers
Answer:
-7
Step-by-step explanation:
21 divided by -3 = -7
-7 times -3 =21
Choose the equation below that represents the line that passes through the point (-2, -1) and has a slope of 5. (5 points)
O. y- 1 = 5(x - 2)
O. y + 1 = 5(x + 2)
O. y + 2 = 5(x + 1)
O. y-2-5(x - 1)
Answers
Step-by-step explanation:
That's the solution;
Final answer; y + 1 = 5 ( x + 2 )
Which of the following is a true statement?
3/4>9/12
3/5<4/7
6/7<5/8
5/12>3/8
Can any show me another one simple way to do this.
Answers
Answer:
The answer is the last one 5/12 > 3/8
Step-by-step explanation:
Convert the fractions to regular numbers so 5/12 just do 5 ÷ 12 and 3/8 do 3 ÷ 8 whatever side has the arrow opened to means that's should be the bigger number for example 2 > 1 is true because 2 is greater than 1 but 2 < 1 is false
Answer:
5/12>3/8
Step-by-step explanation:
you need a common denominator
you multiply 5/12 by 2 the top and the bottom to get 10/24
then you multiply 3/8 by 3 the top and the bottom to get 9/24
10/24>9/24
As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport?
A. 33 1/3 %
B. 20%
C. 50%
D. 66 2/3%
Answers
Answer:
Step-by-step explanation:
Formula
% = (favorite sport/total surveyed) * 100
Givens
favorite sport = 25
Total surveyed = 75
Solution
% = (25/75) * 100
% = 0.33333 * 100
% = 33.3333... or 33 1/3
Answer: A
New shoes are on SALE. You find a pair you like for $85 dollars. But you only have $45 with you. So, you pay $40 and
charge the balance. At 8% interest, what will the balance owed be in six months? (Assume no payments made and simple interest.)
0 0 0 0
a) $24.25
b) $35.50
c) $46.80
d) $50.00
Answers
Answer:
C) $46.80
Explanation:
The price of new shoes = $85
The amount paid for the shoes = $ 40
The balance amount for the shoes = $85 - $40 = $ 45
The rate of interest = 8%
The time period = 6 months = 0.5 years
Simple interest:
Simple interest = = $1.8
So, Amount = Principal + Interest
or, Amount = $45 + $1.8 = $ 46.8
The balance amount owned in six months is $46.8
Answer:
$46.8
Step-by-step explanation:
i took the test
The policy of the Broadway Pawnshop is to lend up to 35% of the value of a borrower’s collateral. John wants to use a $3,000 ring and a $1,200 necklace as collateral for a loan. What is the maximum amount that he could borrow from Broadway?
Answers
Answer:1
3,000 + 1,200 = 4,200
add value of items
2
35 / 100 = .35
divide percentage by 100 to get decimal
3
4,200 * .35 = $1,470
multiply value of items by decimal to find collateral
RESULT
$1,470
Step-by-step explanation:
The maximum amount that he could borrow from Broadway is $1,470.
Calculation of the maximum amount:Since The policy of the Broadway Pawnshop is to lend up to 35% of the value of a borrower’s collateral. John wants to use a $3,000 ring and a $1,200 necklace as collateral for a loan.
Here the total amount should be
= $3,000 + $1,200
= $4,200
And, there is 35%
So, the maximum amount should be
= 35% of $4,200
= $1,470
Hence, The maximum amount that he could borrow from Broadway is $1,470.
Learn more about borrow here: https://brainly.com/question/21254335
In 2012, researchers at Pennsylvania State University discovered adult Americans exercise an average of 17 minutes per day. To test if the amount of exercise in New York City is more than the national average, a researcher decides to do a hypothesis test, at a 1% significance level. He surveys 50 New Yorkers randomly and asks them about their amount of exercise each day, on average. From the data, the sample mean time (x¯) is 20 minutes per day, and the sample standard deviation (s) is 1.6 minutes. H0: μ=17; Ha: μ>17 α = 0.01 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)?
Answers
Answer:
t ≈ 13.26
Step-by-step explanation:
We are given;
x¯ = 20 minutes per day
μ = 17 minutes per day
sample standard deviation; s = 1.6 minutes
Sample size; n = 50
When σ is unknown, formula for test statistic is;
t = (x¯ - μ)/(s/√n)
t = (20 - 17)/(1.6/√50)
t = 3/0.2263
t ≈ 13.26
If 8 times a number is added to twice the number, the result is 60. the solution is
Answers
Answer:
(8 * x) + 2x = 60
8x + 2x = 60
10x = 60
/10 /10
x = 6
8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.
We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).
Answer:
The number is 6
Step-by-step explanation:
Given :-
8N + 2N = 60
To Find :-
N
Solving :-
8N + 2N = 60
10N = 60
N = 6
Solution :-
The number is 6
2 mangoes cost $3.00 at the store. What is the cost per mango?
Answers
Answer:
1 mango = $1.50
Step-by-step explanation:
2 mangoes - $3
1 mango - $?
3 / 2 = 1.5
So:
1 mango = $1.50
Hope this helped!
(Let me know if I got something wrong!)
Answer: $1.50
Step-by-step explanation:
The total cost of mangoes cost $3.00, and the person bought two.
To find the cost per mango, you can divide 3 by 2.
3/2 is 1.5, so each mango costs $1.50
hope this helped :)
Benjamin is making patches for a quilt. He makes a triangular-shaped patch like the triangle shown. Which of these rectangular patches has the same area as the triangular patch? (Choose all the correct answers.)
Answers
Answer:
A F E.....???
Step-by-step explanation: i hope this helps!
Help !!!
A line passes through the point (-8,5) and has a slope of -5/4
Answers
Answer:
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
5
4
and
(
x
1
,
y
1
)
=
(
−
8
,
−
5
)
substituting these values into the equation.
y
−
(
−
5
)
=
−
5
4
(
x
−
(
−
8
)
)
⇒
y
+
5
=
−
5
4
(
x
+
8
)
←
in point-slope form
distributing and simplifying gives the equation in an alternative form.
y
+
5
=
−
5
4
x
−
10
⇒
y
=
−
5
4
x
−
15
←
in slope-intercept form
Answer link
Step-by-step explanation:
If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true?
The graph of f has an x-intercept at x = c.
The graph of f has an inflection point at x = c.
The graph of f has a relative minimum at x = c
None of the above is necessarily true.
Answers
Answer:
None of the above is necessarily true.
Step-by-step explanation:
I've attached an example of such a function to show this.
Larry opened a bank account that earns simple interest with an initial deposit of $2,200. He made no other transactions throughout the year. At the end of the year, Larry had $2260.50 in his account. What was the simple interest rate
Answers
Answer:
r=(1/t) (A/P-1) = 2.75%
The simple interest rate is 2.75%
[tex]Evaluating Combination Notation & Problem Solving[/tex]
Evaluate the following combinations. Write also your solutions.
Answers
Answer:
Step-by-step explanation:
1. ⁷C₅ = ⁷C₂ = 7 x 6 / 2 = 21
2. ⁹C₈ = ⁹C₁ = 9
3. ¹²C₅ = 12 x 11 x 10 x 9 x 8 / 2 x 3 x 4 x 5
= 11 x 9 x 8 = 11 x 72 = 792
4. ²⁰C₁₇ = ²⁰C₃ = 20 x 19 x 18 / 2 x 3
= 19 x 3 = 57
5. ¹⁶C₁₃ = ¹⁶C₃ = 16 x 15 x 14 / 2 x 3
= 8 x 5 x 14 = 40 x 14 = 560
6. ⁷C₄ + ¹¹C₉ = ⁷C₃ + ¹¹C₂ = (7 x 6 x 5 / 2 x 3) + (11 x 10 / 2)
= 35 + 55 = 90
7. ⁷C₃ + ⁷C₄ + ⁷C₅ = 2(⁷C₃) + ⁷C₂ = (2 x 7 x 6 x 5 / 2 x 3) + (7 x 6 / 2)
= 70 + 21 = 91
Legit only this much I can do now.
Hope it is enough.
20. Which student's score was closest to
average?
pls answer ASAP I will make you brainist however you spell it
Answers
Answer:
CStep-by-step explanation:
Comparing the difference with the average in absolute value
3, 4, 2, 5, 7The smallest number is 2 indicating the closest to average score
Matching student is C
i-Ready
Write and Evaluate Algebraic Expressions -- Instruction – Level
1) The school is planning a field trip to the science center. Tickets are originally $28, but school
groups receive an $8 discount on each ticket that is purchased. The expression t(28 – 8)
represents the total cost for t tickets.
2) What does the quantity 28 - 8 represent?
Order of Operations
) the discounted price of each ticket
Evaluate inside parentheses.
Multiply or divide.
2
• Mrs. Price purchases 24 tickets for the students
in her class. Evaluate the expression for t = 24.
Add or subtract.
3
t(28 - 8) = 24(28 – 8)
= 24 (13
7
8
9
X
4
5
6
Answers
Hope this helps!!
The cost of 24 tickets for the students is $480.
The given expression is t(28-8) represents the total cost for t tickets.
Mrs. Price purchases 24 tickets for the students in her class. Evaluate the expression for t=24.
Substitute t=24 in the given expression t(28-8), we get
24(28-8)
= 24×20
= $480
Therefore, the cost of 24 tickets for the students is $480.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ6
Write the following number in standard form. One hundred four billion, twenty- seven thousand, five hundred seventy-one
Answers
Answer:
104,000,027,571
Step-by-step explanation:
billions, millions, thousands, hundreds
One number is 2 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 416, find the numbers
Answers
2 5/8 -1 1/4 fraction
Answers
Answer:
11/8 or 1 3/8
Step-by-step explanation:
hope this helps
The chart below shows how cups of lemonade Marcia sold each hour she had her lemonade stand set up.
Marcia charged 35 cents for each cup of lemonade, how much money did she make in the four hours?
Answers
Answer:
She made $12.95 after four hours
Step-by-step explanation:
because 35 cents is written as .35 we have to remember to put the decimal in our answer two spots to the left so
1st hour: 6 × 35 = $2.10
2nd hour: 5 × 35 = $1.75
3rd hour: 11 × 35 = $3.85
4th hour: 15 × 35 = $5.25
Total: $12.95
What percent of 150 is 12
Answers
Answer:
8 percent to find this answer you can do 12 divided by 15 to get 0.8 percent which is 8
If y varies directly as x, and x =9 when y =15, Find y when x =21
Answers
y = x
15 = 9
y = 21
9y = 315
y = 315/9
y = 35
Answer:
35
Step-by-step explanation:
y is propotional to x, means, if x changes, y changes.
Considering, y depends on x only. Introduce a constant.
y = kx
When x = 9, y = 15,
=> 15 = k(9) => 5/3 = k
When x = 21, note that k is constant.
=> y = kx = (5/3)*21
= 35
What is the graph of the given function f(x)=3[x]+4
Answers
Answer:
Image of the graph attached
Step-by-step explanation:
STEP 1: Write the given function
Taking the x in the given question to be an absolute value, the function is:
[tex]y = 3 |x| + 4[/tex]
STEP 2: Plot the given function
Students at a local school can join one club. The chart below shows how many students are in each club. What percentage of the total number of students are in the outdoor club? (3 points - 2 pts for each correct answer, 1 pts total for showing work) Number of Students Percent of Students Club Photography Coding 32 16% 64 32% Outdoor 40 Gaming 64 Show your work below: =
Answers
Answer:
20%
Step-by-step explanation:
If you already know that 64 students equals 32% you can fill the gaming club in for 32%. Since 100% is the goal you can add 32+32+16 to get 80 and subtract that from 100 to get the remaining percent.
Work out value x, give answer to 1 decimal place
Answers
Answer:
x ≈ 44.6°
Step-by-step explanation:
perimeter of a perfect circle: 2πr = 2π(9) = 18π
perimeter of the circle arc : 25 - 2(9) = 7
The central angle in a full circle is 360 degrees. In the segment of the circle is x degrees. The value of x is obtained using proportionality.
[tex] \frac{360}{x} = \frac{18\pi}{7} \\ \\ x = \frac{7 \times 360}{18\pi} = 44.56[/tex]
Equivalent Expression for 8b +8 - 4b
Answers
Answer:
4b +8
Step-by-step explanation:
8b +8 - 4b
Combine like terms
8b -4b +8
4b +8