Answer:
[tex]P(X<31)=P(\frac{X-\mu}{\sigma}<\frac{31-\mu}{\sigma})=P(Z<\frac{31-24.8}{6.2})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution or excel and we got:
[tex]P(z<1)= 0.84[/tex]
And if we convert this into % we got 84% so then the best solution would be:
84%
Step-by-step explanation:
Let X the random variable that represent the size of gasoline tanks of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(24.8,6.2)[/tex]
Where [tex]\mu=24.8[/tex] and [tex]\sigma=6.2[/tex]
We are interested on this probability
[tex]P(X<31)[/tex]
And we can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using the last formula we got:
[tex]P(X<31)=P(\frac{X-\mu}{\sigma}<\frac{31-\mu}{\sigma})=P(Z<\frac{31-24.8}{6.2})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution or excel and we got:
[tex]P(z<1)= 0.84[/tex]
And if we convert this into % we got 84% so then the best solution would be:
84%
Mike took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $15.95. Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38. Finally, he brought 3 shirts and 1 sports coat and paid $15.46. How much was he charged for each shirt, each pair of slacks, and each sports coat? Mike was charged $ nothing for each shirt, $ nothing for each pair of slacks, and $ nothing for each sports coat.
Answer:
Each Shirt ≈ $2.49
Each Pair of Slacks ≈ $5.99
Each Sports Coat ≈ $7.99
Step-by-step explanation:
Mike took clothes to the cleaners three times last month.
Let S denotes shirts, P denotes pair of slacks and C denotes sports coat.
First, he brought 4 shirts and 1 pair of slacks and paid $15.95.
Mathematically,
4S + P = 15.95 eq. 1
Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38.
Mathematically,
7S + 4P + C = 49.38 eq. 2
Finally, he brought 3 shirts and 1 sports coat and paid $15.46.
Mathematically,
3S + C = 15.46 eq. 3
We are asked to find how much was he was charged for each shirt, each pair of slacks, and each sports coat.
4S + P + 0C = 15.95 eq. 1
7S + 4P + C = 49.38 eq. 2
3S + 0P + C = 15.46 eq. 3
We have 3 equations and 3 unknowns, they can be solved simultaneously using calculator or using online system of equations solver.
Using online system of equations solver yields,
S ≈ $2.49
P ≈ $5.99
C ≈ $7.99
So that means Mike was charge $2.49 for each shirt, $5.99 for each pair of slacks and $7.99 for each sports coat.
An importer of electronic goods is considering packaging a new, easy-to-read instruction booklet with DVD players. It wants to package this booklet only if it helps customers more than the current booklet. Previous tests found that only 30% of customers were able to program their DVD player. An experiment with the new booklet found that 16 out of 60 customers were able to program their DVD player. a. State the null and the alternative hypot
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Sqrt(1-costheta)(1+costheta)
Answer:
sinθ
Step-by-step explanation:
[tex]\sqrt{1-cos^{2}x }[/tex]
[tex]\sqrt{sin^{2}x }[/tex]
sinx
(replace x with theta)
What is the side length of a square with an area of 95
Answer:
23.75
Step-by-step explanation:
95/4
23.75
Answer:
A≈9.75
Step-by-step explanation:
The side length can be found by getting the square root of 95.
Since all sides are the same on a square, this means that 9.75² gives us 95, which it does.
Hope this helps!
-MoCKEry
In the diagram below, RSTU is a rectangle, and the two shaded regions are squares.
If the length of SR is 4 m and the length of ST is 8 m, what is the length of PQ in meters?
Answer:
length PQ = 8.9 m
Step-by-step explanation:
The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.
Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.
Pythagoras theorem
c² = a² + b² Therefore,
c² = 4² + 8²
c² = 16 + 64
c² = 80
square root both sides
c = √80
c = 8.94427191
c ≈ 8.9 m
length PQ = 8.9 m
In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 329 trials, the touch therapists were correct 154 times.
a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
b. Using Emily's sample results, what is the best point estimate of the therapists' success rate?
c. Using Emilys sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.
Answer:
a) [tex] p = 0.5[/tex]
b) [tex] \hat p= \frac{X}{n}= \frac{154}{329}= 0.468[/tex]
c) [tex]0.468 - 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.423[/tex]
[tex]0.468 + 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.513[/tex]
And the 90% confidence interval for the true proportion is given by (0.527;0.593).
Step-by-step explanation:
Part a
For this case we don't have any prior info given so then the probability assumed for this case is:
[tex] p = 0.5[/tex]
Part b
For this case the proportion of success is given by:
[tex] \hat p= \frac{X}{n}= \frac{154}{329}= 0.468[/tex]
Part c
The confidence interval for the true proportion would be given by this formula
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
For the 90% confidence interval the value of and , and the critical value would be given by:
[tex]z_{\alpha/2}=1.64[/tex]
The confidence interval is given by:
[tex]0.468 - 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.423[/tex]
[tex]0.468 + 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.513[/tex]
And the 90% confidence interval for the true proportion is given by (0.527;0.593).
Which of the following is equal to sin(0)?
Answer:
i think C
Step-by-step explanation:
NOT SURE THO :)
Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Enter your answer in the box.
Answer:
See I don't know the answer but I did another one like this if it doesn't help you can report it no problem
Step-by-step explanation:
There are 2 different ways you can solve this problem and you'll get the same answer.
To help you visualize what you have to do, it might be easiest to translate your problem to a unit that easier to use.
Since you only have a ribbon 5 feet long, but you must cut it into 6 pieces, you know it won't even be 1 foot long.
One way to solve the problem would be to translate your 5-foot ribbon into a ribbon divided into inches.
1 foot = 12 inches
To find out how many inches long your ribbon is, you'll need to multiply the number of feet by 12.
Once you know that, then you can more easily divide it by 6. This will tell you how many inches each ribbon is.
Careful! the answer is to be put into feet so once you know how many inches long the ribbon is, you must then divide by 12 to get the correct answer in feet. Don't forget to round to the nearest tenth.
Another way to solve the problem is to simply divide the 5 feet by the number 6 and then round your number to the nearest tenth. It may be harder to visualize the answer this way, but you will get the same answer as if you translated your ribbon into inches and then divided by 12.
Good luck! I hope this helps!
Answer this one please
Answer:
volume is 6.72
width is 1.6
Step-by-step explanation:
The ratio of Mark’s age to Reeta’s age is 3 : 5 Mark’s age is 24 years. Work out Reeta's age.
The ratio of Reeta's age and Site's age is 3:5 and the sum of their ages is 80 years. The ratio of their ages after 10 years will be
The graphed line shown below is y=-3x+6
-2 -1
Which equation, when graphed with the given equation, will form a system that has no solution?
Step-by-step explanation:
right option
...............
The intercept of line 3x-5y-15=0 is
Answer:
The y-intercept should be 3
Which is the simplified form of -7+5-12?
Answer:
[tex] - 14[/tex]
Step-by-step explanation:
[tex] - 7 + 5 - 12 \\ ( - 7 + 5) - 12 \\ - 2 - 12 \\ = - 14[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
So the right answer is -14.
Look at the attached picture
Hope it will help you
Good luck on your assignment
An estimated 3 out of every 25 men are left-handed.
What percent of men are left-handed?
%
Answer:
12 %
Step-by-step explanation:
The fraction of men that are left handed is 3/25
Percent means out of 100, so get the fraction with a denominator of 100
3/25 *4/4 = 12/100
12 %
Una pregunta porque ella no me ama ? :,v
Answer: Porque no te merecen
Step-by-step explanation:
William and Stephanie are painting the bedrooms in their house. If he had to paint the bedrooms himself, it would take William four hours to complete the job. If Stephanie alone were to paint the bedrooms, it would take her six hours.
Working together, how long will it take William and Stephanie to paint the bedrooms?
William can do 1/4 of the job every hour by himself.
Stephanie can do 1/6 of the job every hour by herself.
If they don't distract each other while working together, they can do (1/4 + 1/6) of the job every hour.
That's (3/12 + 2/12) = 5/12 job per hour working together.
The complete job will take them (12/5) hour .
That's 2-2/5 hours, or 2 hours 24 minutes.
They both can do the painting in 2hours 24 minutes by solving the fraction.
What is a fraction?
It is a combination of numerator and denominator. It is always in decimal
if solved properly.
How to calculate time?William can do 1/4 of the job every hour himself. Stephanie can do 1/6 of the job every hour herself, they can do (1/4 + 1/6) of the job every hour.
That's (3/12 + 2/12) = 5/12 job per hour working together.
The complete job will take them (12/5) hour .
or 2 hours 24 minutes.
Learn more about fraction at https://brainly.com/question/78672
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raine divides three 2-ounce bags of rice into smaller bags. The first bag is divided into bags weighing 1/6-ounce each, and the third bag is divided into bags weighing 1/2- ounce each.
Answer:
There would be
- 12 bags of 1/6-ounce rice.
- 6 bags of 1/3-ounce of rice.
- 4 bags of 1/2-ounce of rice.
-The line plot is presented in the attached image to this answer.
1) There are 22 bags that weigh at least 1/6 of an ounce.
2) There are 4 bags that weigh more than 1/3 of an ounce.
3) The combined total of the 1/2-ounce bags = 2 ounces.
4) The average weight of the bags = (3/11) of an ounce.
Step-by-step explanation:
Complete Question
Raine divides three 2-ounce bags of rice into smaller bags. The first bag is divided into bags weighing 1/6-ounce each, the second bag is divided into bags weighing 1/3-ounce each and the third bag is divided into bags weighing 1/2- ounce each. Find the number of 1/6, 1/3 and 1/2 bags and graph it in a line plot.
1) How many bags weigh at least 1/6 of an ounce?
2) How many bags are more than 1/3 of an ounce?
3) What is the combined total of the 1/2 ounce bags?
4) What is the average weight of each of the bags?
Solution
Let the number of 1/6-ounce, 1/3-ounce and 1/2-ounce bags be x, y and z respectively.
(1/6) × x = 2
x = 2 × 6 = 12 bags of 1/6-ounce rice.
(1/3) × y = 2
y = 2 × 3 = 6 bags of 1/3 ounce of rice.
(1/2) × z = 2
z = 2 × 2 = 4 bags of 1/2-ounce rice.
The line plot is presented in the attached image to this answer.
1) All of the bags weigh at least 1/6 of an ounce. Hence, the number of bags that weigh more than 1/6 of an ounce = 12 + 6 + 4 = 22 bags
2) The bags that weigh more than 1/3 of an ounce are the 1/2-ounce bags, and there are only 4 of them. Hence, 4 bags weigh more than 1/3 of an ounce.
3) Combined total of the 1/2 ounce bags
= 4 bags × (1/2-ounce per bag) = 2 ounces.
4) The average weight of the bags is given as the sum total of the weight of the bags divided by the number of bags.
Total weight of the bags = [12 × (1/6)] + [6 × (1/3)] + [4 × (1/2)] = 2 + 2 + 2 = 6 ounces.
Total Number of bags = 12 + 6 + 4 = 22 bags
Average weight of the bags = (6/22) = (3/11) ounce per bag.
Hope this Helps!!!
I WILL MARK AS BRANLIEST
65 POINTS!
Solve the system of equations using subtraction.
{y=x+4
{y=2x+4
Answer:
x=0, y=4
(0,4)
Step-by-step explanation:
y=x+4
y=2x+4
The directions say substitution not subtraction
Set the two equations equal to each other
x+4 = 2x+4
Subtract x from each side
x+4-x = 2x+4-x
4 = x+4
Subtract 4 from each side
4-4 =x+4-4
0 =x
Now find y
y = x+4
y = 0+4
y = 4
Answer:
(0, 4)
Step-by-step explanation:
Our two equations are:
y = x + 4
y = 2x + 4
We need to use substitution, so let's substitute x + 4 in for y in the second equation:
y = 2x + 4
x + 4 = 2x + 4
x = 0
Plug this value back into one of the equations to solve for y:
y = x + 4
y = 0 + 4 = 4
Thus, the answer is (0, 4).
Which equations has -6minus as a possible value of a?
Answer:
Perimetrul triunghiului ABC este egam cu 36 cm, iar AB = 15 cm si AC = 13 cm. Lungimea segmentului BC = cu...
Step-by-step explanation:
Point A is located at 11 on the number line. Point B is 5 less than Point A, where on the number line is Point B
Answer:
point B is located at 6 on the number line
Step-by-step explanation:
u subtract 5 from 11
rate of change for (5, 7.5) and (6,9)
Answer:
Your rate of change is [tex]\frac{3}{2}[/tex].
Step-by-step explanation:
Well, all you have to do is subtract the points.
[tex]\frac{changeiny}{changeinx} \\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\frac{9-7.5}{6-5}\\\\\frac{1.5}{1}[/tex]
This is also know as the rate of change of [tex]\frac{3}{2}[/tex].
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
A
Step-by-step explanation:
The form for a parabola with vertex form is y=(x-h)^2+k, where h is the x coordinate and k is the y. Therefore, since the x coordinate of the graph is -2, the answer is A. Hope this helps!
Answer:
its A
hop this helps
228000(1.03) exponential or decay
Answer:
growth
Step-by-step explanation:
Which inequality is true if p=3.4
3p<10.2
13.6<3.9p
5p>17.1
8.5>2.5
Answer:
None of the inequalities are correct if p = 3.4
Step-by-step explanation:
Mathematical inequality is an order relation proposition existing between two algebraic expressions connected through the signs: unequal than ≠, greater than>, less than <, less than or equal to ≤, as well as greater than or equal to ≥, resulting in both expressions of different values. That is, an inequality is a relationship that exists between two quantities or expressions and, which indicates that they have different values.
To check an inequality, you must replace the inequality variable with the value of the solution. In this case, being p=3.4, you must do it with each of the inequalities, as shown below:
A. 3p<10.2 ⇒ 3*3.4<10.2 ⇒ 10.2 <10.2
This inequality is not true, because 10.2 is not less than 10.2, but they are equal.
B. 13.6<3.9p ⇒ 13.6<3.9*3.4 ⇒ 13.6<13.26
This inequality is not true, because 13.6 is greater than 13.26 and not less as the inequality shows.
C. 5p>17.1 ⇒ 5*3.4 >17.1 ⇒ 17 > 17.1
This inequality is not true, because 17 is less than 17.1 and not greater as the inequality shows.
D. 8.5> 2.5p ⇒ 8.5 >2.5*3.4 ⇒ 8.5 > 8.5
This inequality is not true, because 8.5 is not less than 8.5. These values are the same.
None of the inequalities are correct if p = 3.4
The correct answer is C. By substituting the greatest number in each set for p, you can quickly tell which sets make the inequality false.
You have $4000 to invest. If you'd like to earn exactly $638
in interest each year, how much should you invest in each of
two accounts, one that earns 8% per year and one that
earns 21% per year. (Round your answer to the nearest
dollar)
8%: $
21%: $
Answer:
8%: $1554
21%: $2446
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex].
In this question:
Two earnings, that i am going to call A(8% per year) and B(21% per year).
Two principals, for A i am going to call P and for B it is the rest, so 4000 - P.
A:
One year, so [tex]t = 1[/tex]
8% interest, so [tex]r = 0.08[/tex]
Earnings A.
[tex]A = P*I*t[/tex]
[tex]A = 0.08P[/tex]
B:
21% interest, so [tex]r = 0.21[/tex]
Principal (4000 - P).
[tex]B = P*I*t[/tex]
[tex]B = 0.21*(4000 - P)[/tex]
You'd like to earn exactly $638 in interest each year.
This means that [tex]A + B = 638[/tex]
Then
[tex]B = 638 - A[/tex]
Now we have to solve the following system:
[tex]A = 0.08P[/tex]
[tex]638 - A = 0.21*(4000 - P)[/tex]
So, on the second equation:
[tex]A = 638 - 0.21*(4000 - P)[/tex]
Replacing on the first:
[tex]A = 0.08P[/tex]
[tex]638 - 0.21*(4000 - P) = 0.08P[/tex]
[tex]638 - 840 + 0.21P = 0.08P[/tex]
[tex]0.21P - 0.08P = 840 - 638[/tex]
[tex]0.13P = 202[/tex]
[tex]P = \frac{202}{0.13}[/tex]
[tex]P = 1553.8[/tex]
Rounding up to the nearest integer
P = 1554.
So on A, the 8% interest, you invest $1554.
On B, the 21% interest, you invest 4000 - 1554 = $2446.
In the past month, Rafael rented 4 video games and 1 DVD. The rental price for each video game was $2.30. The rental price for the DVD was $3.30 . What is the total amount that Rafael spent on video game and DVD rentals in the past month?
Answer:
$12.50
Step-by-step explanation:
(2,30*4)+3.30
9.20+3.30=12.50
And object Weighs a quarter of a kilogram . I add one half of a kilogram to the object. I take 200g off. I double the mass of the object. I add one tone the object and then half it what is the mass of object
If the final weight is halved then the mass of the object will be 500,550 grams
Measurement of an object1 kg of an object = 1000 grams
If an object weighs a quarter of a kilogram, then
New weight = 1/4(1000) = 250 grams
If I add one-half of a kilogram to the object, then the new weight will be 750grams
If I take 200grams off, the new weight will be 550 gramsIf the mass is doubled, then the new weight will be 2(550) which is 1100gramsIf 1 tonne is added, then the new mass will be 1000000 + 1100)grams.If the final weight is halved then the mass of the object will be 500,550 grams
Learn more on measurement here: https://brainly.com/question/13893070
What’s the correct answer for this?
Answer:
Step-by-step explanation:
52units
Answer:
A
Step-by-step explanation:
In the attached file
Adding 5+8+2 can be accomplished by
Answer:
8+5=13
13+2=15
your answer is 15
You have to add : )
Step-by-step explanation:
Hope this helps : )
x^2- 20x + y^2 - 10y+25=0
Identify the value of the radius and center is the circle
Answer:
Center = (10, 5)
Radius = 10
Step-by-step explanation:
Look at the picture