Answer:
a) 11.51%; b) 13 minutes
Step-by-step explanation:
We will use a z score to answer these questions. The formula for a z score is
[tex]z=\frac{X-\mu}{\sigma}[/tex]
For part a, X is 20, the mean is 17 and the standard deviation is 2.5:
z = (20-17)/2.5 = 3/2.5 = 1.2
Using a z table, we see the area to the left of, or less than, this value is 0.8849; this means the area to the right of, or greater than, is 1-0.8849 = 0.1151. This means 11.51% of people have a time greater than 20 minutes and get half off.
For part b, we start out in the z table finding values as close to 5%, or 0.05, as possible. There are two possibilities, 0.0505 (z=-1.64) and 0.0495 (z=-1.65). Since they are equally distant from the desired value, we will use -1.645 for z. Our values for the mean and standard deviation are the same:
-1.645 = (X-17)/2.5
Multiply both sides by 2.5:
2.5(-1.645) = ((X-17)/2.5)(2.5)
-4.1125 = X-17
Add 17 to each side:
-4.1125+17 = X-17+17
12.8875 = X
This means the garage should make the guaranteed time no more than 13 minutes.
Given that the measure of angle GHJ = 154 degrees find the angle of HIJ
Answer:
the correct answer is 77°
Step-by-step explanation:
Angle GHJ and IHJ form supplementary angles which add up to 180°
therefore angle IHJ=180-154
angle IHJ=26°
Triangle IHJ is an isosceles triangle whose base angles HIJand IJH are equal. Lets assign them the same value, x° each
since the sum of all interior angles of a triangle add up to 180°, then x°+x°+26°=180°
2x+26=180
2x=154°
x=77°
Therefore both HIJ and IJH measure 77°
Please help me out.....................
Answer:
y = 10
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, hence
x + 10 = 110 - 4x ( add 4x to both sides )
5x + 10 = 110 ( subtract 10 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Using the other pair of congruent sides, then
3y - 10 = 2x - 20 = (2 × 20) - 20 = 40 - 20 = 20, thus
3y - 10 = 20 ( add 10 to both sides )
3y = 30 ( divide both sides by 3 )
y = 10
Use substitution to solve. 2x? = 5 + y 4y = -20 + 8x? Solve the first equation for y and substitute it into the second equation. The resulting equation is
Answer:
Infinite Solutions
Step-by-step explanation:
2x = 5 + y and 4y = -20 + 8x can be solved by substituting one equation into another to find the variables.
2x = 5 + y becomes y = 2x - 5. Substitute this expression into 4y = -20 + 8x.
4(2x - 5) = -20 + 8x
8x - 20 = -20 + 8x
8x - 8x - 20 = -20 + 8x - 8x
-20 = -20
This has infinite solutions since x eliminates and a true statement is left.
Answer:
infinite solutions.
Step-by-step explanation:
got it right on the assignment
1. Rank the following from largest mass to smallest mass.
Gravity on the moon = 1.6 m/s^2 Gravity on Mars = 3.7 m/s^2
a) 1 kg object on earth
b) 2.75 lbm object on the moon
c) 1.25 lbf object on the moon
d) 15 N object on earth
e) 15 N object on Mars
The answer is C.) i think
Answer:
e) 15 N object on Mars
d) 15 N object on earth
b) 2.75 lbm object on the moon
a) 1 kg object on earth
c) 1.25 lbf object on the moon
Step-by-step explanation:
Mass is the amount of mass that a certain object has, it differs from its weight because the weight depends of the gravity or the force that is been applied to the object towards the planet.
To obtain the mass a 15N object on mars you have to divide the 15N by the gravity of mars this would be like this:
Mass:[tex]\frac{15}{3.7}[/tex]= 4.05kg
To obtain the mass of a 15 N objecto on the earth you divide 15N by 9.8 [tex]\frac{m}{s^{2} }[/tex] which is the gravity on earth.
Mass:[tex]\frac{15}{9.8}[/tex]= 1.53 kg
To calculate the mass of a 2.75 lbm object on the moon you just have to convert it to kg.
Mass in kg: 2.75*.453= 1.24 kg
Then the 1 kg mass object on the earth.
And last the 1.25 lbf object on the moon you just convert it to kilograms.
Mass in kg: 1.25*.138=.172kg
Jeremy rode for 2.2 miles in the morning and then 11.1 miles in the afternoon. He rode the same distance each day for 9 days. What was the total distance Jeremy rode in 9 days?
Answer:
[tex]119.7\ miles[/tex]
Step-by-step explanation:
step 1
Find the total distance Jeremy rode in one day
[tex]2.2+11.1=13.3\ miles[/tex]
step 2
Find the total distance Jeremy rode in 9 days
Multiply the distance Jeremy rode in one day by the total days
so
[tex]13.3(9)=119.7\ miles[/tex]
If you pour 5 gallons of water into 1-cup containers,woeld you need more than or fewer that 5 containers?
Answer:
more than: how much cups? 80 cups
Step-by-step explanation:
a little story to remember better:
there is a island called gallon island. there are 4 queens(quarts) and each queen has two prince's or princesses(pint). and each princess/prince has two childeren(cup)
if you draw it out you see:
one gallon
4 quarts
8 pins
and 16 cups
one gallon has 16 cups which is wayy more than 5 cups so the answer is more than 5 cups
now how much cups do you exactly need?
16 cups x 5 gallons = 80 cups
plz give brainliesttt
Brian is having a baseball-shaped piñata at his birthday party. If the piñata has a diameter of 12 inches, approximately how many cubic inches of candy can it hold? (Use 3.14 for π.)
A. 150.72
B. 602.88
C. 7,234.56
D. 904.32
Answer:
Option D. [tex]904.32\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere (a baseball-shaped piñata ) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=12/2=6\ in[/tex] -----> the radius is half the diameter
[tex]\pi=3.14[/tex]
substitute the values
[tex]V=\frac{4}{3}(3.14)(6)^{3}=904.32\ in^{3}[/tex]
A cargo truck weighs 8750 lb the weight limit for a certain bridge is 5 tons how many pounds of cargo can be added to the truck before the weight limit for the bridge
Answer:
1,250 lbs
Step-by-step explanation:
There are 2,000 in 1 ton, so 5 * 2,000 = 10,000 lbs weight limit for the bridge.
10,000-8750 = 1,250 lbs can be added to the truck before they reach the bridge weight limit.
Answer: 1250 pounds
There are 2000 pounds in one ton
Multiple 5 by 2000 and get 10000
Subtract that for 8570
Step-by-step explanation:
(7Q) Solve the log .
Answer:
the answer is:
b. x=10^2
ANSWER
b. x=10²
EXPLANATION
The logarithmic equation is:
[tex] log(x) = 2[/tex]
Note that this is the common logarithm, so it has a base of 10.
[tex] log_{10}(x) = 2[/tex]
Take antilogarithm of both sides to base 10.
[tex] {10}^{ log_{10}(x) } = {10}^{2} [/tex]
This implies that,
[tex]x = {10}^{2} [/tex]
Nancy's breakfast costed 2.99 and she hands a 5 dollar bill.How much change should she receive back
Answer:
$2.01
Step-by-step explanation:
Subtract 2.99 from 5.00
5.00-2.99 = 2.01
The change Nancy should receive back is $2.01
How to find out how much change should she receive back?To find the amount of money that Nancy will receive, we will have to subtract the breakfast cost from the amount of money that she handed .According to the problem,
Nancy's breakfast costed $2.99she hands a 5 dollar bill.Amount of money left = $(5 - 2.99) = $ 2.01
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The length of the rectangle is 4ft greater than the width. If each dimesion is increased by 3,the new area will be 33 square feet long. Find the dimensions of the original rectangle
Answer:
Width is 2 feet and the length is 6 feet.
Step-by-step explanation:
The area of a rectangle is A = l*w. Here the length is 4 feet more than the width or 4 + w and the width is w. So the area is A = w(4+w) = 4w + w²
If the dimensions are changed then the expressions will change. The width is increased by 3 feet. This means the width w becomes w + 3. The length is increased by 3 feet. This means the length becomes 4 + w + 3 = 7 + w. So the area of the new triangle is A = (w+3)(7+w) = w² + 10w + 21.
The new area is 33 feet longer. We can add 33 to the original area then set them equal to each other and solve for w.
w² + 10w + 21 = 33+4w + w² Subtract w² from both sides.
10w + 21 = 33+4w Subtract 4w from both sides.
6w + 21 = 33 Subtract 21 from both sides.
6w = 12 Divide by 6.
w = 2 feet
The original width w is 2 feet. This means the original length which was 4 + w = 4 + 2 = 6 feet.
To solve the problem, set up two equations based on the given information, substituting the first equation into the second to solve for 'w' (width) and 'l' (length) - the original dimensions of the rectangle.
Explanation:To solve this problem, we'll first set up two equations based on the information provided in the question. Let's use 'w' to represent the width of the original rectangle and 'l' to represent its length. According to the problem, we know that:
The length of the rectangle is 4ft greater than its width. So, l = w + 4. If each dimension is increased by 3, the new area (length times width) is 33 square feet. So, (w+3) * (l+3) = 33.
Substitute the first equation (l = w + 4) into the second to find w and then l. This is the system of equations needed to find the original dimensions of the rectangle.
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ANSWER PLEASE
Karen takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit hour, and at Pinewood, class fees are $115 per credit hour. Karen is taking a combined total of 16 credit hours at the two schools. Suppose that she is taking w credit hours at Westside. Write an expression for the combined total dollar amount she paid for her class fees.
Answer:
y = 98w + 115(16 - w)
Step-by-step explanation:
Let y = total amount paid
Let w = credit hours in Westside
Let 98w = Westside Fee
Let 115(16-w) = Pinewood
Then we get:
y = 98w + 115(16-w)
Now how did get 16 - w?
We got that by analyzing the problem. We have a total of 16 credit hours and w represents the number of hours at Westside. So we take the total of 16 hours and deduct it to the number of hours that Karen took in Westside.
At the swim club, what is the ratio of men to all members? 400 men, 300 women, 100 children
Answer: 400 men:800 members
Step-by-step explanation:
There is 400 mean so you would put 400 men first then you add 400+300+100=800 and that is all the members so it would be 400 men:800 member
Answer:400 to 800 or 1 to 2
Step-by-step explanation: There are 400 men in total so you know that is the number of men for the ration and then you count everyone for the people in this ratio. Remember... men count as part of everyone. After adding the men women and children you get 800 so it comes to 400:800 or simplified 1:2
Which unit is commonly used in both the metric and u.s system of units
Answer:
Step-by-step explanation:
Surely the units of time: minut, hour, second.
Answer:
The unit of time - seconds
Step-by-step explanation:
The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass.
Whereas in the US system of units, units like feet, quarts, and ounces to measure these.
But 'seconds' the base unit of time, is the unit that is used in both the system of units.
Evaluate the line integral xsiny ds if c is the line segment from (0,3) to (4,6)
Answer:
[tex]-7.3[/tex]
Step-by-step explanation:
We want to evaluate the line integral:
[tex]\int\limits^{(4,6)}_{(0,3)} {x\sin y} \, ds[/tex]
where [tex]ds=\sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2 }dt[/tex]
The parametric equation of the straight line joining (0,3) and (4,6) is
[tex]x=4t[/tex] and [tex]y=3t+3[/tex]
This implies that;
[tex]ds=\sqrt{(4)^2+(3)^2 }dt[/tex]
[tex]ds=\sqrt{25}dt[/tex]
[tex]ds=5dt[/tex]
Our line integral then becomes;
[tex]\int\limits^{1}_{0} {4t\sin (3t+3)} \, 5dt[/tex]
Using, using integration by parts, we obtain;
[tex]20\int\limits^{1}_{0} {t\sin (3t+3)} \, dt=-7.3[/tex] to the nearest tenth.
The solution to the line integral for the equation [tex]\mathbf{\int ^{(4,6)}_{(0,3)} \ x \ sin y \ ds}[/tex] where c is the line segment from (0,3) to (4,6) is -7.3
What is line integral?
A line integral is a type of integral in mathematics in which the variable function to be integrated is measured across a curve.
From the given information, we are to evaluate the line integral:
[tex]\mathbf{\int ^{(4,6)}_{(0,3)} \ x \ sin y \ ds}[/tex]
where;
[tex]\mathbf{ds = \sqrt{(\dfrac{dx}{dt})^2 + (\dfrac{dy}{dt})^2}}[/tex]
Using the parametric function to determine the straight line joining (0,3) and (4,6), we have:
x = 4ty = 3t + 3Then, we can now have ds to be:
[tex]\mathbf{ds = \sqrt{(\dfrac{4}{1})^2 + (\dfrac{3}{1})^2} \ dt}[/tex]
[tex]\mathbf{ds = \sqrt{(16 + 9} \ dt}[/tex]
[tex]\mathbf{ds = \sqrt{25} \ dt}[/tex]
ds = 5dt
Now, the line integral can be written as:
[tex]\mathbf{=\int^1_0 4t sin (3t + 3) \ 5 dt}[/tex]
By applying integration by parts, we have:
[tex]\mathbf{= 20 \int^1_0 t sin (3t + 3) \ dt}[/tex]
= -7.3
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Someone help please!!???
Answer:
c = 19,683, e = 3, d = 4Step-by-step explanation:
[tex](rs)^{-1}(3s)^5(3r)^4\qquad\text{use}\ (ab)^n=a^nb^n\\\\r^{-1}s^{-1}(3^5)s^5(3^4)r^4=(3^5)(3^4)(r^{-1}r^4)(s^{-1}s^5)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=3^{5+4}r^{-1+4}s^{-1+5}=3^9r^3s^4=19,683r^3s^4[/tex]
SAMANATHA HAS 3 MORE THAN 4 TIMES MANY BOOKS AS DEENNA DEANA HAS D BOOKS HOW MANY BOOKS DOES SAMANTHA HAVE
the correct answer would be 12 look in the sentence you've created that says times so 4 * 3 with equal to 12
At a community college with five hundred students, 150 are English majors and 350 are math majors. If a simple random sample of fifty students was selected to represent the various majors proportionately and twenty English majors were chosen, how does this compare to how many English majors would have been chosen if the sample was created using stratified proportionate sampling?
A.)There should be fewer English majors in the stratified proportionate sample.
B.)There should be more English majors in the stratified proportionate sample.
C.)There will be the same number of English majors in the stratified proportionate sample.
D.)There is no way to tell how many English majors will be in the stratified proportionate sample.
the answer is "a" because If it was proportional out of 50 there would be 15 english majors.
Using stratified proportionate sampling out of 50 students, 15 English majors should have been chosen, fewer than the 20 selected in the simple random sample.
Explanation:To answer the question, we need to determine how many English majors would have been chosen if the sample was created using stratified proportionate sampling. In stratified proportionate sampling, the number of students selected from each group is proportional to their representation in the overall population.
Since there are 150 English majors out of 500 students, English majors make up 30% of the student body. When creating a sample of 50 students, 30% of this sample size should be English majors, which would be:
30% of 50 students = 0.3 x 50 = 15 English majors.
Since the simple random sample selected 20 English majors, and a stratified proportionate sample would have included only 15, the answer is:
A.) There should be fewer English majors in the stratified proportionate sample.
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Measured in meters, the wavelength of red light is about 8*10^-7, and the wavelength of violet light is 4*10^-7. The wavelength of red light is how many times longer than the wavelength of violet light?
Answer: The wavelength of red light is 2 times longer than the wavelength of violet light.
Step-by-step explanation:
Let be "x" the number of times the wavelength of red ligth is longer than the wavelength of violet light.
Knowing that the wavelength (measured in meters) of red light is about [tex]8*10^{-7}[/tex] and the wavelength (measured in meters) of violet light is [tex]4*10^{-7}[/tex], you have to:
Divide the wavelength of red light (measured in meters) by the wavelength of violet light (measured in meters).
Then:
[tex]x=\frac{wavelength\ of\ red\ light}{wavelength\ of\ violet\ light}\\\\x=\frac{8*10^{-7}}{4*10^{-7}}[/tex]
Remember the Quotiend of powers property:
[tex]\frac{b^m}{b^n}=b^{(m-n)}[/tex]
Then:
[tex]x=2[/tex]
The wavelength of red light is 2 times longer than the wavelength of violet light.
Answer:
2 times as long
Step-by-step explanation:
i did this on i-ready and i got it wright ur welcome plis give me brainlyest
*spelled that wrong*
Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not contain a domain or range Domain: All Real Numbers Range: All Real Numbers
Answer:
Domain: All Real Numbers Range: All Real Numbers
Step-by-step explanation:
The function x + y = 10 is a linear function. Its graph is a line on the coordinate plane. As such the line extends both left and right and up and down without any restrictions. This means there are no limits on its domain or range. Both are all real numbers.
Help me ASAP!
What number could you put into the blank to make the value of this expression 6.93?
6.93⋅4.21 + 3.56____ + 4.21
A. −3.56
B. 3.56
C. 4.21
D. −4.21
Answer:
the answer is b
Step-by-step explanation:
There is no negative sign therefore d and a are not an option and yep ito b
suppose A and B are dependent events.if P(A)=0.5 and P(B)=0.6
p(a∩b)?
A.0.5
B.0.6
C.0.3
D.0.1
Answer:
Step-by-step explanation:
the anwser is D hope this helps =D
Answer:
Option C.
Step-by-step explanation:
If A and B are independent events then theorem says
P(A∩B) = P(A) × P(B)
Since value of P(A) = 0.5 and P(B)= 0.6 has been given in the question.
Then P(A∩B) = 0.5×0.6
= 0.3
Therefore, option C. is the answer.
What is heavier a 100 lb bag of feathers or a 100lb of a concrete
Answer:
They are the same weight
Step-by-step explanation:
Haha! A classic riddle! They are both 100 pounds, so they weigh the same.
Hello there!
They are both the same. In the question, it states that you have 100 lbs of each item, so you have the same amount. There are probably waaaaay more flowers since they are very light, but nonetheless you still have 100 lbs so they will weigh the same :)
I hope this helps, have a great day!
Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. If Cleo pays $174.99, how long will thos membership last ?
The local electronic store sells items for 75% of what they pay them for. Tyrone is stocking television for $450 each. What is the markup amount?
Final answer:
To find the markup amount for the television, we can calculate 25% of the cost price. The markup amount is $112.50.
Explanation:
To find the markup amount, we need to determine the difference between the selling price and the cost price. The store sells items for 75% of the cost price, which means they have a markup of 25%.
To find the markup amount for the television, we can calculate 25% of the cost price.
Markup amount = 25% x $450 = $112.50
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use absolute values where appropriate.) f(x) = 3 5 − 9 x , x > 0
Answer:
[tex]35x - \frac{9x^2}{2} + C[/tex]
Step-by-step explanation:
The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.
Thus 35 - 9x becomes [tex]35x - \frac{9x^2}{2} + C[/tex]. We add a constant C for any possible constant that was eliminated during differentiation.
8 inches of snow was predicted. 12 inches of snow fell. calculate the percent error
Answer:
33.333333333333%
Step-by-step explanation:
Percent error = V observed - V true
=8-12/12
=-33.333333333333%
=33.333333333333% error
William bought a 0.5 -liter bottle of liquid plant food. He uses 40 milliliters each week? How much plant food does William need for 12 weeks? Is one bottle enough for 12 weeks ?
Answer:
He needs 0.48 liters of plant food.
Yes, one bottle is enough for 12 weeks.
Step-by-step explanation:
William uses 40 mililiters each week.
Let be [tex]x[/tex] the total amount of liquid plant food he needs for 12 weeks. It can be calculated by multiplying 12 by 0.40 mililiters. Then:
[tex]x=(12)(40mL)\\x=480mL[/tex]
Make the conversion from mililters to liters (Remember that 1 liter has 1,000 mililiters):
[tex](480mL)(\frac{1L}{1,000mL})=0.48L[/tex]
Then, he needs for 12 weeks:
[tex]x=0.48L[/tex]
As he bought a 0.5 -liter bottle of liquid plant food and he needs 0.48 liters for 12 weeks, you can conclude that one bottle is enough for 12 weeks.
William needs 480 mL of plant food for 12 weeks. One 0.5-liter bottle (500 mL) is enough for this duration.
William bought a 0.5-liter bottle of liquid plant food. He uses 40 milliliters (mL) each week. To find out how much plant food William will use in 12 weeks, we multiply the weekly usage by the number of weeks:
40 mL/week x 12 weeks = 480 mLSince 0.5 liters is equivalent to 500 milliliters, we determine that one bottle of 0.5 liters will be enough for 12 weeks because he needs 480 mL and the bottle contains 500 mL.
HELP ASAP 23 POINTS
The sale price of a used car is $4,160 after a 35% discount. What is the original price of the car?
To find the original price, divide the sale price by 1 minus the discount rate:
4160 / (1- 0.35) = 4160 / 0.65 = 6400
The original price was $6,400
The polynomial f(x) has zeros at x=6−3i, 6+3i, and −1.
Which graph could be the graph of f(x)?
Answer:
It is the second graph.
Step-by-step explanation:
One zero is x = -1 so the graph will be curved (as it has degree 3) and will pass through the x axis at x = -1 and only at -1 because the other 2 zeroes are complex numbers.