Given:
Mean of 52 minutes and a standard deviation of 5 minutes.
Solution:
According to the empirical rule: For the normal distribution, all of the data will fall within three standard deviations of the mean.
1: 68% of the data will fall within the first standard deviation from the mean.
2: 95% of the data fall within two standard deviations.
3: 99.7% of the data fall within three standard deviations.
[tex]3SD =99.7\%=\mu\pm3\sigma\\[/tex]
Therefore, the 7 intervals and their probabilities are:
1. [tex]1SD=0.68=P(47<x<57)[/tex]
2. [tex]0.95=P(42<x<62)[/tex]
3. [tex]0.997=P(37<x<67)[/tex]
4.[tex]13.5\%=P(42<x<47)[/tex]
5.[tex]13.5\%=P(57<x<62)[/tex]
6. [tex]2.35\%=P(37<x<42)[/tex]
7.[tex]2.35\%=P(62<x<67)[/tex]
Plz help me 3y+x=7 4x-2y=0
Answer: 3
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answer:
15.62 = x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10 ^2 + 12^2 = x^2
100 +144 = x^2
244 = x^2
Take the square root of each side
sqrt(244) = sqrt(x^2)
15.62049935 = x
Rounding to the nearest hundredth
15.62 = x
Answer:
15.62
Step-by-step explanation:
We can use the Pythagorean Theorem.
10^2+12^2=c^2
100+144=c^2
244=c^2
15.62=c, or x=15.62
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.
Step-by-step explanation:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Answer:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Step-by-step explanation:
this was correct
Crystal earns $5.50 per hour mowing lawns. A. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.B. How much does Crystal earn if she works 3 hours and 45 minutes?
find the value of a in this picture below
Answer:
[tex]\boxed{a=40}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
[tex]a[/tex] is equivalent to all the other [tex]a[/tex].
Put up an equation and solve for [tex]a[/tex].
[tex]60+a+a+a=180[/tex]
[tex]3a+60=180[/tex]
[tex]3a=120[/tex]
[tex]a=40[/tex]
Answer:
Step-by-step explanation:
in the given figure;
a+60deg.+a+a=180 deg.
=> 3a+60=180
=> 3a=180-60
=> 3a=120
=> a=120/3
=40 deg.
Explain how to create a Stem-and-Leaf plot using the 6 rules. And write down what the 6 rules are.
Answer:
The 6 rules/steps are below
Step-by-step explanation:
1. determine the smallest and largest number
2. Using the largest and smallest number, make sure that your graph can fit both of those numbers
3. identify the stems/tens place
4. fill in the leaves/ones place
5. Sort them from lowest to highest
6. Check
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answer:
y = |x - 1|
Step-by-step explanation:
This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.
pls help !
simplify
Answer:
B
Step-by-step explanation:
Sqaure roots can be rewritten as fractions.
The numerator will be rewritten as 6^(1/4)
The denominator will he written as 6^(1/5)
Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)
The denominator stays the same so you are left with 1/20 which is still the power over 6
6^1/20
Answer:
[tex]6^{\frac{1}{20} }[/tex]
Step-by-step explanation:
[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]
1/4 - 1/5 = 1/20
?help..........thanks you for helping me
Answer:
Step-by-step explanation:
cost of one box = RS20
IT IS 20 TIMES MORE THAN COST OF ONE BOX
Answer:
The cost of 1 small box of mixed organic vegetables is $20. The cost of 20 small boxes of vegetables is $380 more than the cost of 1 small box.
Step-by-step explanation:
Since the cost of 9 small boxes is $180, we can divide both by 9 to get the price of one small box. 180/9=20. The cost of 20 small boxes is 20 boxes multiplied by 20 dollars, which is 400 dollars. $400-$20=$380.
Write an equation of a line that has a y-intercept at (0, -6)
Answer:
[tex]y=x-6[/tex]
Step-by-step explanation:
First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.
So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].
Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]
algebra 1 help the answers are on the bottom please help me
Answer:
Answer b is correct!
Inequality Form: x <1 /2 or x > 1
Interval Notation: (-infinity, 1/2) U (1, infinity)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps :)
Complete this item. Identify angle1 and angle2. Select all that apply off the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.
Answer:
Angles 1 and 2 are both obtuse and adjacent.
Step-by-step explanation:
We can go about this systematically.
Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.
Right: Greater than 90°, not equal, so not right.
Obtuse: Greater than 90°, so it's obtuse.
Adjacent: The angles are next to each other, so they are adjacent.
Vertical: They share a vertex, but they are not opposite to each other.
Complementary: They do not form a right angle together.
Supplementary: They do not form a straight angle together.
---
I hope this helps, let me know if you have any questions.
Correct Answers:
right
vertical
supplementary
I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.
Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)
Answer:
y -1 = -3(x+1)
Step-by-step explanation:
First find the slope
(-1,1) and (1,-5)
m = (y2-y1)/(x2-x1)
= (-5-1)/(1--1)
=-6/ (1+1)
= -6/2
= -3
We are using point slope form
y-y1 = m(x-x1) where m is the slope
y - 1 = -3( x - -1)
y -1 = -3(x+1)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y= mx + c
where m is the slope
Slope of the line using points
(-1,1) and (1,-5) is
[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]
Therefore the equation of the line using point (-1,1) is
y - 1 = - 3( x + 1)Hope this helps you
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
Only 8 servings can be made with the available spice.
Rice to spice ratio = 15 : 1
Number of grams per serving = 75 grams
Grams of spice available = 40 grams
Grams of rice, r required for available spice :
15 grams of rice = 1 gram of spice
r grams of rice = 40 grams of spice
Cross multiply :
r = (40 × 15)
r = 600 grams
The grams of rice which can go with the available spice :
Number of servings = grams of rice / grams per serving
Number of serving = 600 grams / 75 grams
Number of grams per serving = 8
Hence, The number of servings which can be made with the available spice is 8 servings
Learn more : https://brainly.com/question/18796573
Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
Answer:
132 tiles
Step-by-step explanation:
We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.
What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Probability.
Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,
Event favourable and Not Favourable.
the Sum of both always end up as 1.
thus sum of the probability distribution is 1.
The sum of the probabilities in a uniform probability distribution is 1.
Hence, option C is the right choice.
What is a uniform probability distribution?A uniform distribution is a probability distribution in which all events have the same probability.
Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.
How do we solve the given question?The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x ≤ b.
To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).
[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]
The sum can also be found using the graph attached, calculating the area of the red rectangle.
∴ The sum of the probabilities in a uniform probability distribution is 1.
Hence, option C is the right choice.
Learn more about uniform probability distribution at
https://brainly.com/question/20411994
#SPJ2
The monthly salary of a salesman of a departmental store is Rs 12,500 and an additional payment of 0.5 % on the total monthly sale is provided as commission.
i) Calculate his total income in a month if he makes a total sale of Rs 7,20,000 in that month.
ii) What should be his total sale in the next month so that he can receive a total income of Rs 20,000 in the month?
Answer:
i. [tex]Total\ Income = Rs\ 16,100[/tex]
ii. [tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
Step-by-step explanation:
Given
[tex]Salary = Rs\ 12,500[/tex]
Commission = 0.5% of Monthly Sales
Calculating his total income is total sales is Rs 720,000
[tex]Total\ Income = Salary + Commission[/tex]
Substitute (0.5% of Monthly Sales) for Commission
[tex]Total\ Income = Salary + (0.5\%\ of\ Monthly\ Sales)[/tex]
Substitute Rs 720,000 for Monthly Sales and Rs 12,500 for Salary
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ of\ Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ * Rs\ 720,000[/tex]
Convert % to decimal
[tex]Total\ Income = Rs\ 12,500 + 0.005\ * Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + Rs\ 3,600[/tex]
[tex]Total\ Income = Rs\ 16,100[/tex]
Calculating his total sales if total income = Rs 20,000
Recall that;
[tex]Total\ Income = Salary + Commission[/tex]
Substitute Rs 20,000 for Total Income; Rs 12,500 for Salary and (0.5% of Monthly Sales) for Commission
[tex]Rs\ 20,000 = Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
Subtract Rs 12,500 from both sides
[tex]Rs\ 20,000 - Rs\ 12,500 = Rs\ 12,500 - Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ *\ Monthly\ Sales[/tex]
Divide both sides by 0.5%
[tex]\frac{Rs\ 7,500}{0.5\%} = \frac{0.5\%\ *\ Monthly\ Sales}{0.5\%}[/tex]
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
Convert % to decimal
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
[tex]\frac{Rs\ 7,500}{0.005} = Monthly\ Sales[/tex]
[tex]Rs\ 1,500,000 = Monthly\ Sales[/tex]
[tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
Can you guys please help me with this? It’s for tomorrow
Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6
Answer:
B:-1
Step-by-step explanation:
-3-(-2)=-3+2=-1
Answer:
-1Step-by-step explanation:
[tex] - 3 - ( - 2)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] - 3 + 2[/tex]
Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.
Calculate:
[tex] - 1[/tex]
Some rules:
[tex]( + ) \times ( + ) = ( + )[/tex]
[tex]( + ) \times ( - ) = ( - )[/tex]
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex]( - ) \times ( + ) = ( - )[/tex]
Hope this helps..
Thank you for helping
Answer:
The answer is option B
Step-by-step explanation:
Using BODMAS the expression in the bracket
that's
( 9 + 3) must be solved first
Hope this helps you
Use the diagram to answer the question. Triangle D E F. Segments E F and D F measure 11 units. Angle F is a right angle. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E?
Answer:
m<E = 45
Step-by-step explanation:
We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.
To know which trigonometric ratio formula to apply, note the following:
Opposite side = adjacent side = 11 units.
Therefore, we use the following to find <E:
[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]
[tex] tan E = 1 [/tex]
[tex]E = tan^{-1}(1)[/tex]
[tex] E = 45 [/tex]
can you draw a quadrilateral with no parallel lines and at least one right angle?
Answer:
Yes
Step-by-step explanation:
We can draw a quadrilateral with no parallel lines and at least one right angle
Answer:
Yes
Step-by-step explanation:
It's possible to draw a quadrilateral with no parallel lines and with 1 right angle
I really hope this helps I know how you feel (:-D)
2 3 4 5 6 7 8 9 10 TIME REMAINING 58:34 The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2 y minus 4 = x y + 4 x = 1 Mark this and return Save and Exit
Answer:
The answer is y minus x = negative 4
or c for short
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
i got it right on the test
A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)
Answer:
[tex]g(x) = (x-6)(2x-1)[/tex]
Step-by-step explanation:
[tex]g(x)[/tex] intercepts the x-axis at these 2 points:
[tex](6,0) ;(1/2,0)[/tex]
⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.
[tex]g(6) = g(1/2) = 0[/tex]
now in order for 0 to appear we should have [tex]x-6[/tex]
now in order for 0 to appear we should have [tex]x-1/2[/tex]
but [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:
[tex]2(x-1/2) = 2x-1[/tex]
Therefore the function;
[tex]g(x) = (x-6)(2x-1)[/tex]
Answer:
b
Step-by-step explanation:
Dylan opened a savings account with $1,250. How much simple interest will he earn if he leaves the money in the account for three years at an interest rate of 0.03? Use the formula i = prt. $112.50 $1,125.00 $37.50 $75.00
Answer:
$112.50
Step-by-step explanation:
So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.
So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer
s25=625, s13=169 find an
Answer:what!?
Step-by-step explanation:
Help plz help I need help
Answer:
Step-by-step explanation:
There is a 1/20 chance of getting a 1.
This is a 5% chance.
I would say it's highly unlikely.
If this helped, please mark brainliest :D
Answer:
highly unlikely
Step-by-step explanation:
It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.
Find the number: 25% of a number is z lb.
Answer:
Depends on the number.
Step-by-step explanation:
i neeed help i want help i will mark brainlisst if i can do that
Answer:
1/4
Step-by-step explanation:
there are 12 options, and only three are correct. 3/12 simplifies to 1/4
Answer:
1/4
Step-by-step explanation:
There are 12 possible outcomes
The ones that have a head and an even number are H2 H4 H6
P( head and even number) = head and even number/ total outcomes
= 3/ 12
=1/4
HELP PLEASE 40 POINTS The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year. A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 21 at increments of 3, and the y-axis scale is shown from 0 to 168 at increments of 24. A straight line joins the ordered pairs 3, 24 and 6, 48 and 9, 72 and 12, 96 and 15, 120 and 18, 144. Previous Year Number of Bushels Price of Corn (dollars) 3 21 6 42 9 63 12 84 Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. AND IT IS NOT QUESTION AND ANSWER PLEASE LOOK AT THE GRAPH AND READ THE PARAGRAPH
Answer:
see below
Step-by-step explanation:
Part A
Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels
24/3 = 8 dollars/ bushel
Part B
Previous Year Number of Bushels Price of Corn (dollars)
3 21
6 42
9 63
12 84
We can find the rate of change for the previous year by using the slope formula
m = (y2-y1)/(x2-x1)
m = (84-63)/(12-9)
=21 / 3
= 7
The previous year was 7 dollars per bushel
The increase was 8-7 = 1 dollar per bushel
Answer:
Part A: 8 dollars/brushel
Part B: 1 dollar/brushel
Step-by-step explanation:
Without reading the question you can already conclude that this is a linear equation. Also, we can easily get the linear function:
[tex]f(x)=8x[/tex]
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.
We know that a linear function has a constant rate of change, and that is called SLOPE.
In order to calculate the slope of the linear function:
[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{48-24}{6-3}= \frac{24}{3} = 8$[/tex]
Therefore, the rate of change of a bushel of corn in the current year is 8
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.
Previous Year Number of Bushels Price of Corn (dollars)
Ordered pairs:
[tex](3, 21); (6, 42); (9, 63); (12, 84)[/tex]
Let's calculate the slope again.
[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{42-21}{6-3}= \frac{21}{3} = 7$[/tex]
The difference is 1 dollar/brushel.