Answer:
Sales tax= $6.30
Jacket= $0.9630
Step-by-step explanation:
Jacket price= $90
Sales tax= 7%
Sales tax in dollars
=7/100×90
=$6.30
Jacket in cents
=$90+$6.30
=$96.30 ÷100
=$0.9630
A barrel contains 56 litres of kerosene. It has two taps. One tap draws 500 ml every 6 minutes. After first 5 litres are drawn from the barrel, the second tap also starts. It draws 1 litre in every 5 minutes. How many hours will be taken in all to empty the tank?
Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.
Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
i nedd help im almost done
If yall give me the right answer I called the branly worker to give 1,000 points to right answers so try ya best!!!
From What I understood, I need to find the area and perimeter of those shapes
Bolded words are answers
1. Triangle
Area
9*15=135
135/2=67.5
Perimeter
15+15=30
30+9=39
2. Pentagon
Area: 15.48
Perimeter: 15
Hope this Helps!
every day amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The average speed of the train is 15 mph faster than the average speed in her car. assuming she has no wait time for the train, her one-way trip takes 45 minutes. Find the speed of the car.
Answer:
Speed= 0.6666667 miles per hour
Step-by-step explanation:
You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
What is the value of x?
Answer:
[tex]21[/tex]
Step-by-step explanation:
Set up the following proportion and solve for [tex]x[/tex]:
[tex]\frac{27}{45}=\frac{x}{35},\\\\x=\frac{27\cdot 35}{45},\\x=\boxed{21}[/tex]
Please help me with this Math question.
Each win is worth 3 points.
Each draw is worth 1 point.
Each lose is worth 0 points.
Is 33 correct answer?
Answer:
33 is definitely the correct answer
There are 363 students at Meadowbrook High School. There are 10 more
freshmen than sophomores, 20 more juniors than sophomores, and seven more
seniors than freshmen. How many seniors are there at the school?
3/8 x 2 what would the answer be to this statement
Answer:
6/16
Step-by-step explanation:
If $5,000 is borrowed at a simple interest rate of 4.70% p.a., calculate the interest charged for 7 months.
Answer:
Using a personal loan APR of 7.63% as an example, here's a simple breakdown of what the personal loan payment calculator can show you for a $5,000 loan and $10,000 loan.
Step-by-step explanation:
The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?
Answer:
N'O' = 25
Step-by-step explanation:
N'O' = 5 × NO = 5 × 5 = 25
Solve for x. 3(x+2)=2(2-x)
Answer: -2/5
1. Multiply out like using distributive property
3x+6 = 4-2x
2. Now just simplify
5x+6=4
5x=-2
x=-2/5
Answer:
Heyaa!!! Im Pinky! Im here to inform you that your answer is....
Step-by-step explanation:
1st. We need to Distribute:
3(+2)=2(2−)
3+6=2(2−)
Just like That!
2nd. We have to Rearrange terms:
3+6=2(2−)
3+6=2(−+2)
3rd. Distribute One Last Time:
3+6=2(−+2)
3+6= −2+4
4th. Simplify:
3=−2−2
5th. Add 2 to both sides of the equation:
3=−2−2
3+2=−2−2+2
6th. Simplify:
5=−2
7th. Divide both sides of the equation by the same term:
5=−2
5/5 = -2/5
8th. Solve:
x = -2/5
Have an Amazing day!!
~Pinky~
The water level of a reservoir is 340 feet and that it is receding at a rate of 0.5 foot per day. In how many days will the water level be 26 feet?
THE RESERVOIR IS 340 FEET PEOPLE NOT 34. thanks.
Answer:
327 feet
Step-by-step explanation:
VERY URGENT PLEASE HELP!!!!
Rafael's gas tank is 1/2 full. After he buys 9 gallons of gas, it is 4/5 full. How many gallons can Rafael's tank hold?
Answer:
30 Gallons
Step-by-step explanation:
Ok, lets see the difference the 9 gallons of gas did to Rafael's gas tank.
1/2 --> 0.5
4/5 --> 0.8
0.8-0.5 = +0.3
The tank was made 30% more full with the gas.
Next, we can use this to find the amount of gas which would need to be used to fully fill the tank, given that it was empty.
So to make it easier, say we filled it up a third of 30% to get an easier to work with 10% of fill of the gas tank.
9 / 3 ---> 3 Gallons
Now, multiply this by 10 to get the 100%
3 * 10 = 30 Gallons
All done!
Write an inequality to represent the situation below:
A child can be a maximum of 50 pounds to play on the playground.
ANSWERS ONLY NO LINKS PLEASE!!!!
[tex]c\leq 50\\\\(c=child)\\\\Sorry \ if \ this \ didn't \ help \ you.[/tex]
The volume of the cylinder is 13,665.28 cm³ and the height is 17 cm what is the radius
Answer:
V = π²h
r = √V/πh
r = √13,665.28cm³/(3.14)(17cm)
r =√13,665.28/53.38 cm
r = √256 cm
r = 16 cm
Can someone answer this for me
Answer:
A
Step-by-step explanation:
Only a can be the answer
Answer:
A
Step-by-step explanation:
it's the only one that seems right
If y varies jointly as x and z and y = 24 when x = 2 and z = 1, find y when x is 12 and z is 2.
A. 288
B. 48
C. 576
D. 144
Answer:
288
Step-by-step explanation:
y= xkz
K= y/xz
= 24/2×1
= 24/2
= 12
y= xkz
= 12×12×2
= 288
Hence the value of y is 288
If you invest $2500 at a rate of 3.5%, how much money
will be in the account after 10 years if it is compounded
quarterly?
Answer: 3526.5
Step-by-step explanation: 2500(1+0.035)^10
PLEASE ASNWER ILL GIVE BRAINLIEST
Answer:
8.6
Step-by-step explanation:
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c
Equations definitions
Answer:
Step-by-step explanation:
MEAN - a). Finds the mean of a numerical data set.
MIN - f). Finds the lowest value of a data set.
COUNT - c). Counts the number of values input for a highlighted data set
MEDIAN - d). Finds the middle value of a numerical data set
MAX - e). Finds the greatest value for a data set
SUM - g). Adds all the numbers in a highlighted range together
MODE - b). Finds the number that occurs most often in a highlighted data set.
Write the hourly wage 15 dollars an hour as a fraction
it can be written like this, hope this helps: $15/hour <3
The hourly wage 15 dollars an hour as a fraction is $15/1hr.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
There is a fraction, containing numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
A proper fraction is also called fraction which is less than 1.
And an improper fraction is ≥ 1
A mixed fraction contains a sum of whole number and a proper fraction.
Given;
wage of 1hour = $15
In fraction;
15dollars/1hour
Therefore, the answer in fraction will be 15/1
Learn more about fraction;
https://brainly.com/question/729654?referrer=searchResults
#SPJ2
The relay race is 5 kilometers long. If there are 12 racers
per team, how far would each racer need to run?a.5/12 b.12/5 c.1 2/5 d.5 1/12
Answer:
A
Step-by-step explanation:
Can anyone help, I’ll give Brainly, I’m handing em out like nothing lol
Answer:
2.5
Step-by-step explanation:
50 x $0.05 = 2.5
The photo has the question on
1) a=5(10)
[tex] {10}^{2} [/tex]
[tex] \div [/tex]
2
=5
[tex] \times [/tex]
100
[tex] \div [/tex]
2
=5
[tex] \times [/tex]
100
[tex] \div [/tex]
2
=500
[tex] \div [/tex]
2
=250
10 points!!!!!!!!!!!!!
Which equation represents a line that has a slope of 1/3 and passed through point (-2,1)?
Answer:
y=1/3x+5/3
Step-by-step explanation:
use the equation y=mx+b plug in slope for m, -2 for x and 1 for y
13. Which of the following symbol stands for the margin of error?
A. E
B. Za/2
C.n
D.o
14. For a 95% confidence level, the confidence coefficient is ___?
A. 1.645
B. 1.96
C.2.33
D.2.585.
15.What do you call the value resulting from subtracting the margin of error from the sample mean?
A. point estimate B. interval estimate C. lower limit of the interval D. upper limit of the interval
For nos. 16-19
A survey on 200 HUMSS students of Bumasa Integrated High School shows that they read on an average of 15. 7 hour
per week. The margin of error is 2.2 hours at a 95% confidence level.
16. What is the sample mean?
A.200
B. 95
C. 15.7
D.2.2 8.
17. Which of the following values is the margin of error?
A.15.7
B. 2.2
C. 0.95 D. 0.05 9.
D.0.05 9.
Answer:
13. A
14. B
15. C
16. B
17. C
Step-by-step explanation:
There are twice as many students on Mr. Sneed's team as on Mr. Johnson's team. Together, they want to raise 360$ to buy uniforms. According to the size of their team, how much money should each team raise?
Answer:
go on MATH.WAY. it'll give you the answer and explanation
Step-by-step explanation:
Help please I’ll give extra points
Answer:
105°
Step-by-step explanation:
The sum of all the interior angles of a triangle is equal to 180°. With that I. mind, we can write
(6x + 5) + (11x - 5) + x = 180
Collecting all similar terms, we get
18x = 180 or x = 10
They, the measure of angle Q is
Angle Q = 11x - 5 = 11(10) - 5
= 105°
4. Which of the following is an exponential function?
O f(x) = 3x^3
O f(x) = 3^x
O f(x) = 5x-6
O f(x) = 2/x
Answer:
f(x) = 3x^3
Step-by-step explanation:
i think maybe its not but i think so