Assuming you meant every 1/3 hour, she will tell 48 jokes
1/3 hr = 20 mins
16 hrs = 960 mins
960/20= 48 jokes
You could also take 16 hrs and the 3 from 1/3, 16*3=48
Much faster method i forgot until just now..
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)?
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
please help me its really easy angles
Answer:
→137°
Step-by-step explanation:
[tex]\hookrightarrow 22+x+21=180[Sum\:of\:linear\:pair]\\\\\hookrightarrow x=180-21-22\\\\\hookrightarrow x=137[/tex]
Help !!!
A line passes through the point (-8,5) and has a slope of -5/4
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:
Determine if ✓ 8 is rational or irrational and give a reason for
a reason for your answer.
solve this -5x=3x-24
Answer:
x=19/3 x=6 1/3 x=6.333333333
Step-by-step explanation:
10-(3x-1)/2=(6x+3)/11
If someone could help that would be great thank you!
If it is :
[tex]10 - \frac{ (3x - 1)}{2} = \frac{(6x + 3)}{11} \\ [/tex]
Multiply both sides by 22
[tex](22 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]
[tex]220 - 33x + 11 = 12x + 6[/tex]
[tex] - 33x + 231 = 12x + 6[/tex]
Plus both sides 33x
[tex]231 = 33x + 12x + 6[/tex]
[tex]231 = 45x + 6[/tex]
Subtract sides minus 6
[tex]231 - 6 = 45x[/tex]
[tex]45x = 225[/tex]
Divided sides by 45
[tex]x = \frac{225}{45} \\ [/tex]
[tex]x = 5[/tex]
_________________________________
If it is :
[tex] \frac{10 - (3x - 1)}{2} = \frac{6x + 3}{11} \\ [/tex]
Multiply sides by 22
[tex](11 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]
[tex]110 - 33x + 11 = 12x + 6[/tex]
[tex] - 33x + 121 = 12x + 6[/tex]
Plus sides 33x
[tex]121 = 12x + 33x + 6[/tex]
[tex]121 = 45x + 6[/tex]
Subtract sides minus 6
[tex]121 - 6 = 45x[/tex]
[tex]45x = 115[/tex]
[tex]x = \frac{115}{45} \\ [/tex]
[tex]x = \frac{23}{9} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Work out value x, give answer to 1 decimal place
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]
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?
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
Which statement about the points (0, 3), (2, 8), (8, 2), and (0, 1) is true?
All but one of the points is on the x-axis.
The points (0, 3) and (0, 1) are located on the same axis.
All but one of the points are in Quadrant I.
The point (8, 2) is the closest to the x-axis.
Answer:
The points (0, 3) and (0, 1) are located on the same axis.
Step-by-step explanation:
coordinates are in the format (x, y) where x is how far it is on the x axis and y is how far it is on the y axis.
x axis is the horizontal (left and right)
y axis is the vertical (up and down)
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%
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
(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
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]
A school paid $35.25 for each calculator if the school bought x calculator how much did they pay
Answer:
they pay $x*35.25
Step-by-step explanation:
this is the answer
If 8 times a number is added to twice the number, the result is 60. the solution is
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
[tex]Evaluating Combination Notation & Problem Solving[/tex]
Evaluate the following combinations. Write also your solutions.
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.
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.
Answer:
1/3
Step-by-step explanation: hope this helps!
2 5/8 -1 1/4 fraction
Answer:
11/8 or 1 3/8
Step-by-step explanation:
hope this helps
Which statements are true about the rules of multiplication for signed numbers? Check all that apply.
Answer:
i think that 1, 3 and 4 are correct !!
Step-by-step explanation:
youre welcome, have a nice day!
NOTE: next time please provide the list of choices so it can be easier to help you
Answer:
1 3 4
Step-by-step explanation:
edge 2021
What is the graph of the given function f(x)=3[x]+4
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
guys help how do i do this please hurry
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 =
Answer:
-7
Step-by-step explanation:
21 divided by -3 = -7
-7 times -3 =21
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.
Answer:
None of the above is necessarily true.
Step-by-step explanation:
I've attached an example of such a function to show this.
What percent of 150 is 12
Answer:
8 percent to find this answer you can do 12 divided by 15 to get 0.8 percent which is 8
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
I'm in desperate need of help, my other questions is worth 29 points. NO LINKS
Can someone please help me?
3. A quadratic relation has an equation of the form = ( − )( − ). Determine the value of
when:
a) the parabola has zeros at (4,0) and (2,0) and a y – intercept at (0,1)
b) the parabola has x – intercepts of (4,0) and (-2,0) and a y – intercept at (0,-1)
c) the parabola has zeros at (5,0) and (-3,0) and a minimum value of -10.
Answer:
Step-by-step explanation:
a) y = a(x - 4)(x - 2)
x = 0, y = 1, so 1 = a(-4)(-2) = 8a, a = 1/8
so y = (x - 4)(x - 2)/8
b) y = a(x - 4)(x + 2)
x = 0, y = 1, so 1 = a(-4)(2) = -8a, a = -1/8
so y = -(x - 4)(x + 2)/8
c) y = a(x - 5)(x + 3)
y = a(x² - 2x - 15) = a(x² - 2x + 1 - 16) = a[(x - 1)² - 16]
when x = 1, y has a minimum value -16a
so -16a = -10, a = 5/8
so y = 5(x - 5)(x + 3)/8
How far is lakeview from avon
Answer:
They are about 45.19 miles apart.
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem,
a² + b² = c²
-> c is the hypotenuse, a and b are both legs (the other two sides)
a² + b² = c²
19² + 41² = c²
361 + 1,681 = c²
2,042 = c²
[tex]\sqrt{2,042}[/tex] = c
45.19 miles ≈ c
c ≈ 45.19 miles
They are about 45.19 miles apart.
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.)
Answer:
A F E.....???
Step-by-step explanation: i hope this helps!
7.Lin wants to empty her hot tub to clean it. She has a 300 gallon hot tub and
empties it at a rate of 20 gallons each minute. Which equation(s) represent this
situation. Check all that apply.
y=300-20%
y=20x+300
y=-20x300
y=-20x-300
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
Answer:
r=(1/t) (A/P-1) = 2.75%
The simple interest rate is 2.75%
Select the correct answer.
Which statement is true for the numbers 2.5 and -2.5?
Answer:
B (on a number line, -2.5 is located on the left of 0 and 2.5 is located on the right)
Step-by-step explanation:
On a number line, negative numbers are placed to the left of 0 (less than 0) while positive numbers are placed to the right of 0 (greater than 0)
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?
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