A car can go 30 miles on one gallon of gas. About how many gallons of
gas will be used to go 200 kilometers? (Note: 1 mile is approximately 1.6
kilometers) *
a. 125
b. 5
c. 4
d. 19
^^i forgot the answers!!!
Answer:
4
Step-by-step explanation:
First divide 200 by 1.6 which will give you 125
Then divide 125 by 30 which will give you 4
Given that sec(θ)=5/3 and θ is in Quadrant I, what is tan(θ)? Write your answer in exact form. Do not round.
9514 1404 393
Answer:
tan(θ) = 4/3
Step-by-step explanation:
The relationship between secant and tangent is ...
1 +tan² = sec²
The the tangent of the angle is ...
tan(θ) = √(sec²(θ) -1)
tan(θ) = √((5/3)² -1) = √(16/9)
tan(θ) = 4/3
In ΔRST, r = 59 cm, s = 10 cm and t=68 cm. Find the area of ΔRST to the nearest 10th of a square centimeter.
Answer:
Area≈137.965≈138
Step-by-step explanation:
Which equation can be used to find volume?
Answer:
V=l*w
Step-by-step explanation:
how many hours are from 2:30pm to 11:00pm?
Answer:
10 hours and 30 minutes.
Step-by-step explanation:
Hope it helps
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks. please help!!!
Answer: (40x)+500
Step-by-step explanation:
1 + [tex]\frac{4}{8}[/tex]
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\frac{8+4}{8}[/tex]
[tex]\frac{12}{8}[/tex]
[tex]\frac{3}{2}[/tex]
Triangle A’B’C’ is a dilation image of triangle ABC. Which is the correct description of the dilation?
A. Center C and scale factor 4
B. Center A and scale factor 4
C. Center A and scale factor 5
D. Center C and scale factor 5
Answer:
B.
Step-by-step explanation:
Center is the point that does not change and that point is A. To find the scale factor you just divide the translated length by the original, in this case, 8÷2 which gives a scale factor of 4.
Pls help die in 10 mins
Answer:
Area of sector of a circle = 28.26 meter²
Step-by-step explanation:
Given:
Side of cube = 12 meter
One white section = sector of a circle
Find:
Area of one white section
Computation:
Radius of circle = Side of cube / 2
Radius of circle = 12 / 2
Radius of circle = 6 meter
One white section = sector of a circle
Area of sector of a circle = [θ/360][π][r]²
Area of sector of a circle = [90/360][22/7][6]²
Area of sector of a circle = [0.25][3.14][36]
Area of sector of a circle = 28.26 meter²
A class has 10 students with ages 3 3 3 3 3 4 4 4 4 5. If a student is chosen randomly, the probability of the student being age 3 is 5/10 or 0.5, age 4 is 4/10 or 0.4, and age 5 is 1/10 or 0.1. What is the expected age of a randomly chosen student?
Answer:
3.
Step-by-step explanation:
because they have more change to be pick wife they have more higher percentage of the class
The table below shows some values that satisfy a linear function.
Х
Y
-5
0
-3
3
-1
6
1
9
3
12
What is the slope of the line that is represented by the values in the table above?
w
Answer:
3/2
Step-by-step explanation:
Truthfully, you only need two points for a linear equation, so I will only use two.
(-5, 0)
(-3, 3)
I will use the skeleton method to find the slope
((0) - (3))/((-5) - (-3)) -> -3/-2
The slope is 3/2
please help me thank you
Answer:
B.
Step-by-step explanation:
The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is
3/5 x 1/2 = 3/10
3/10 < 1/2
Therefore, 3/5 is less than 1/2!
482 – 412 + 286 - 12 x 204solve
Answer:
70,176
Step-by-step explanation:
Given that
482 - 412 + 286 - 12 × 204
We need to solve the above equation
= 482 - 412 + 286 - 12 × 204
= 70 + 286 - 12 × 204
= 356 - 12 × 204
= 344 × 204
= 70,176
Hence, the answer to the given equation is 70,176
The same is to be considered and relevant
find the side lengths. help please, asap. thank you!
Answer:
Step-by-step explanation:
A) WX=YX
angle w =angle Y=70
X=180-2x70= 40
B) all sides are equal. Angle V=T=U=180/3=60
(a) the given triangle is a isosceles triangle. The two base (non-congruent side) angles (in this case, ∠XYW & ∠XWY) will have the same measurements.
It is given that m∠XYW = 70°, therefore, m∠XWY is also 70°.
Subtract 180 from the two 70° to get m∠X:
180 - (70 + 70) = 180 - 140 = 40°
m∠X = 40° is your answer.
~
The given triangle is a equilateral triangle (All sides are congruent). If all sides are congruent, it is a equilateral triangle, and if it is a equilateral triangle, then all measurements of the inside angles are the same, 60°
m∠V = 60°
~
The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in Hays County were selected in 2014. The average square footage was 2,031 with a standard deviation of 373 square feet. Does this sample provide enough evidence to conclude that the average house size has increased in the Hays County since 2010? Test at an alpha level of 0.05. Find the test statistic.
Answer:
The test statistic is z = 2.7.
The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.
Step-by-step explanation:
The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?
This means that the null hypothesis is:
[tex]H_0: \mu = 1872[/tex]
And the alternate hypothesis is:
[tex]H_a: \mu > 1872[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
1872 is tested at the null hypothesis:
This means that [tex]\mu = 1872[/tex]
Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.
This means that [tex]n = 40, X = 2031, \sigma = 373[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}[/tex]
[tex]z = 2.7[/tex]
Pvalue and decision:
The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.
Looking at the z-table, z = 2.7 has a pvalue of 0.9965
1 - 0.9965 = 0.0035
The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.
If 536-1-56-3, what is the value of b?
-2
-1
O O O O
NE
Can somebody help me please is it A,B,C,D
Answer:
80 degrees
Step-by-step explanation:
The only given angle here is angle 4, which measures 100 degrees.
1) Identify angle relationships
Angle 4 and angle 6 are interior angles, meaning they have a sum of 180 degrees.
2) Solve for angle 6
180-Angle 4=Angle 6
180-100=Angle 6
80=Angle 6
Therefore, the measure of angle 6 is 80 degrees.
I hope this helps!
Answer:
c. 80°
Step-by-step explanation:
We are given a shape with a bunch of lines, and are asked to find what measure is ∠6.
Solving this is simple, we just need to keep notice that what angle is larger than 90 degrees looks like and what under 90 degrees looks like. All angles that are above 90 look wide and huge, while all under is very tiny and skinny.
If we take a look at our hint, angle 4 has the (100 degrees). Look at how wide it is, if angle 6 is tinier than that, then the answers A. and B. are scratched out.
Now 90 degrees is a right angle, looking at angle 6 guarantees that D. is also not correct because it is not a right angle.
Leaving us with C. 80
In a random sample of 5 residents of the state of Maine, the mean waste recycled per person per day was 2.6 pounds with a standard deviation of 0.69 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Maine. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
(1.307 ; 3.893)
Step-by-step explanation:
Given that:
Mean, xbar = 2.6
Standard deviation, s = 0.69
Sample size, n = 5
Confidence interval : xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Degree of freedom (df) = n - 1 = 5 - 1 = 4
Hence Tcritical = 3.747
Margin of Error = 3.747 * 0.69/sqrt(4)
Margin of Error = 1.293
Lower boundary = (2.6 - 1.293) = 1.307
Upper boundary = (2.6 + 1.293) = 3.893
(1.307 ; 3.893)
NO LINKS OR WEBSITES ALLOWED! (Especially bitly)
What is the volume of this figure
a
12 cubic units
b
16 cubic units
c
28 cubic units
d
40 cubic units
Please answer now
#3
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price of the book?
Part B
A customer buys a different book that has an original selling price of $38. The book is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount the customer pays for the discounted book?
Enter your answer in the box.
1
2
3
.
5
6
s
7
8
0
Step-by-step explanation:
too long
Answer:
do you have a ilnk i cant understand
Step-by-step explanation:
225 is what percent on 75 solved in an equation
Answer:
300%
Step-by-step explanation:
[tex]\frac{225}{75} = \frac{y}{100}[/tex]
225 × 100 = 75 × y
22500 = 75y
75y ÷ 75 = 22500 ÷ 75
y = 300
300%
Here is a formula for most percent problems.
Please please i need help i did not understand it
please do it .........
Answer:
w = 325cm
Step-by-step explanation:
=> here's your solution
=> formula is v = t*w*h
=> v = 5915cm^3
=> t = 91cm
=> we need to find w = ?
=> V = T*W*H
=> w = 5915/(91*5)
=> w = 325cm
hope it helps
The question is in the screen shot pls help
A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited
into the box is normally distributed with a standard deviation of 0.25 ounce. What does the
mean have to be in order for 99.5% of the boxes to contain 24 ounces or more of cereal?
Answer: We do not know the mean but we do know the standard deviation which is 0.25 ounces. The normal distribution plot below shows the shaded
region at approximately 5% of the area of the total Gaussian distribution.
From a Table we find that 5% is a z = -2.57 and so the mean must be 2.57
multiplied by 0.25 ounces = 3.57 0.25 = 0.643 ounces. The mean value
of box must be 0.643 ounces above the declared 24 ounces. Thus,
Mean value = = 24.643 ounces
Step-by-step explanation:
At the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music. Of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical. Determine the empirical probability that the next person entering the store favors
(a) rock music.
(b) country music.
(c) something other then rock, country, or classical music.
Answer:
A) 20%.
B) 26.66%.
C) 40%.
Step-by-step explanation:
Since at the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music, and of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical, to determine the empirical probability that the next person entering the store favors (a) rock music, (b) country music, and (c) something other then rock, country, or classical music, the following calculation must be performed:
A)
60 = 100
12 = X
12 x 100/60 = X
1200/60 = X
20 = X
Therefore, the probability that the next person favors rock music is 20%.
B)
60 = 100
16 = X
16 x 100/60 = X
1600/60 = X
26.66 = X
Therefore, the probability that the next person favors country music is 26.66%.
C)
60 = 100
24 = X
24 x 100 / 60 = X
2400 / 60 = X
40 = X
Therefore, the probability that the next person favors another type of music is 40%.
Food bill before tax: $24 Sales Tax: 7.3% Tip: 18%
Answer:
30.07
Step-by-step explanation:
helllllllppppp plzzz
Answer:
Answer D) B, C, and D
Step-by-step explanation:
Point D is 2 and point B is -2, meaning they are opposites of each other. Point C is 0, which is it's own opposite
HELP ILL GIVE BRAINLIEST PLSSS
Find sin X.
1.sinX=4/5
2.sinX=5/4
3.sinX=3/5
4.sinX=3/4
The volume of the pyramid is 8in3. What is the height of the pyramid? (Sides are 5in and 4in)
Answer:
h = 0.4 inches
Step-by-step explanation:
Given that,
The volume of the pyramid is 8 in³.
The sides of the pyramid are 5 in and 4 in.
We need to find the height of the pyramid.
The formula for the volume of pyramid is given by :
V = lbh
Where h is the height of the pyramid
So,
[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{8}{5\times 4}\\\\h=0.4\ in[/tex]
So, the height of the pyramid is 0.4 inches.