Answer:
48 miles
Step-by-step explanation:
What we must do is calculate the car's performance, that is, the number of miles per gallon of gas, like this:
208/13 = 16
which means that for each gallon of gas you can travel a total of 16 miles.
They tell us they have 3 gallons of gasoline left so they can go:
16 * 3 = 48
If your goal is 42 miles away, that means you can make it and you still have 6 more miles to go.
Daniel drives his car 374 miles using 22 gallons of gas. How many miles per gallon does his car get?
Answer:
17 will be answer .....
Step-by-step explanation:
He gets 374 miles on 22 gallons ....
Amounts of miles per gallon is 374÷22
= now divide it and answer will come 17 ........
Daniel gets the car 17 miles per gallon
The calculation can be done as follows
Daniel drives the car for 374 miles
He uses 22 gallons of gas
The miles per gallon can be calculated as follows
= 374/22
= 17
Hence the answer is 17 miles per gallon
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Which of these is not a possible r-value?
ОА. 1.2
Ов. 0.5
Ос. -0.75
OD. -0.1
Answer:
Step-by-step explanation:
A
Need help with this question
Answer:
[tex]\dfrac{-5x^2+34x-32}{x^2-10x+24}[/tex]
Step-by-step explanation:
Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."
[tex]\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}[/tex]
Write the factors for the following numbers.
16, 36, 56, 48, 7
18 POINTS will rate brainiest 6th grade math
Answer:
18 ft^2
Step-by-step explanation:
The area of a parallelogram is A=bh.
The area would be A = 9*4.
A = 36
To find the area of one trapezoid you divide the area of the parallelogram by 2.
36/2 = 18 ft^2
A line passes through the point (4,-6) and has the slope of -3/4. Which is the equation of the line? y=-3/4x-3 y=-3/4x-6 y=-3x-3/4 y=-6x-3/4
use photomath it helps alot
Write the intersection and union of N and W.
N being the definition of a Natural Number {1,2,3,4} and W being Whole numbers {0,1,2,3,4}
Answer:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
Step-by-step explanation:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
n - intersection means the common elements between N and W
U - represents all elements within N and W
The mean hourly wage for employees in industries is currently $24.57. Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries. a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries. b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. c. With α = .05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.
Answer:
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57
(b) The P-value of the test statistics is 0.1212.
(c) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using P-value approach.
(d) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using critical value approach.
Step-by-step explanation:
We are given that a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries.
Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour.
Let [tex]\mu[/tex] = population mean hourly wage in the manufacturing industry.
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57 {means that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57 {means that the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean wage in the manufacturing industry = $23.89/hr
σ = population standard deviation = $2.40/hr
n = sample of employees from the manufacturing industry = 30
So, the test statistics = [tex]\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } }[/tex]
= -1.55
The value of z test statistics is -1.55.
(b) Now, the P-value of the test statistics is given by;
P-value = P(Z < -1.55) = 1 - P(Z [tex]\leq[/tex] 1.55)
= 1 - 0.9394 = 0.0606
For two-tailed test P-value is calculated as = 0.0606 [tex]\times[/tex] 2 = 0.1212
Since, the P-value of the test statistics is higher than the level of significance as 0.1212 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.
(d) Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.
Find the sum 5/10 plus 3/100
Answer:
53/100
Step-by-step explanation:
The first step is to find the common denominator of the two fractions. Since 10*10=100, you are adding 50/100 and 3/100. 50/100+3/100=53/100. Hope this helps!
Use a net of the square pyramid, if necessary, to find the surface area of the pyramid
Answer:
- When all side faces are the same:
Surface Area = (Area of the Base) + 1/2 × Perimeter × (Slant Length)
- When side faces are different :
Surface Area = (Area of base) + (Lateral Area).
Step-by-step explanation:
A pyramid is formed by connecting a base to a top. There are no curves in a pyramid, the base is a polygon and all other faces are triangles.
There are many types of Pyramids, and they are named after the shape of their base.
We have Triangular Pyramid, Square Pyramid, Pentagonal Pyramid, and so on.
The Surface Area of a Pyramid.
We need to consider the two cases:
- When all side faces are the same:
Surface Area = (Area of the base) + 1/2 × Perimeter × (Slant Length)
- When side faces are different :
Surface Area = (Area of base) + (Lateral Area).
We consider the Area of Base because a pyramid's base varies, as I have explained earlier. It can be a square, a triangle, a pentagon, and so on.
Alejandro plotted the location of a reclining chair and an end table on a coordinate plane. The end table is represented by the circle, and the chair is represented by the square with solid sides. The image of the chair along a translation is represented by the square with dashed sides.
Answer:
Step-by-step explanation:
Please locate the answers to this question in the file attached below, the solution is there.
The circumference of a circular field is 163.28 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer.
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
Try it -3 squared is 9 -4 squared is 16 , 9+16 = 25 so [tex]x^{2} +y^{2} =25[/tex]
Answer:
The answer is B
Step-by-step explanation:
If you look on your picture the circle is 5 on the y axis and -5 on the y axis. and is on 5 on the x axis and -5 on the x-axis makes it 5^2 which equals 25
So if you look on the attachment i provided you can see what i mean. I graphed all equations you had you can see what i mean
Simplify.
I need the answer to the question above.
Answer:
Third answer.
Step-by-step explanation:
To simplify, we can factor 'x' from the equation, giving us:
[tex]\frac{x(1)}{x(4 + x)} = \frac{1}{x+4}[/tex]
However, we must put a domain restriction to ensure that the denominator will not equal 0. This means that 'x+ 4' cannot equal zero. Therefore, x ≠ -4.
The third answer is correct.
Select the decimal that is equivalent to 14/40
A. 0.28
__
B. 0.28
C. 0.376
__
D. 0.376
Answer:
it is 0.35
Step-by-step explanation:
but is it not listed??
The equivalent decimal will be 0.35
How to convert fraction into a decimal?In order to convert from fraction to decimal, we have to simlpy divide numerator by the denominator.
So according to asked question we have to convert 14/40 into equivalent decimal.
So we have just devide 14 by 40 whiuch will be 14÷40=0.35
Therefore, the equivalent decimal will be 0.35
Learn more about the conversion of fraction into a decimal
here: https://brainly.com/question/1306233
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Point: (2,7)
Reflected across y-axis: (-2,7)
Reflected across x-axis: ????
My options for the answer is
(-7,-2)
(-2,7)
(2,-7) which answer is it I have already tried the first one and it said it was wrong.
Answer:
(2,-7)
Step-by-step explanation:
Reflection rule for across the x-axis: [tex](x,y)\rightarrow (x,-y)[/tex]
Using the rule and point (2,7):
[tex](2,7)\rightarrow(2,-7)[/tex]
(2,-7) should be the correct answer.
Brainilest Appreciated.
On the day you were born, Uncle Peyton gave your parents a piece of sports memorabilia valued at
$75. If past trends continue, it should appreciate in value 12% per year. If you sell it on your 18th
birthday, what can you expect the sale price to be?
Answer:
$162
Step-by-step explanation:
12% of $75 is $9 Therefore,
$9 x 18 = 162 ( 18 being the years )
Hope this helps!!!
-Conrad
A cyclinder has a volume of 703Pi cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply. The formula for the volume of a cyclinder can be applied to find the area of the base. To find the area of the base, multiply volume and height. The radius of the cyclinder is half the height. The area of the base is 38Pi cm2. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
The answer are A,D,and E
Answer:
A. The formula for the volume of a cyclinder can be applied to find the area of the base.
D. The area of the base is 38Pi cm2.
E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
I hope this helped
What is the value of x in the equation 1.5(x+4)-3=4.5(x-2)
Answer:
x = 4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
1.5x - 4.5x = -9 - 6 + 3
-3x = -12
x = -12/-3
x = 4
Work out the volume of the solid shape
Give your answers in terms of pi please
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property that she would like to put on the market. The 1057 houses she surveyed have a mean price of $169 comma 400, with a standard deviation of $ 68 comma 438. The mean living area is 2058 sq ft, with a standard deviation of 790 sq ft. Which is more unusual, a house in that market that sells for $300 comma 000 or a house that has 3000 sq ft of living area? Explain. Choose the correct answer below. The house that sells for $300 comma 000 has a z-score of nothing and the house with 3000 sq ft has a z-score of nothing. Thus, a house in that market that ▼ sells for $ 300 comma 000 has 3000 sq ft of living area is more unusual than a house that ▼ sells for $ 300 comma 000 has 3000 sq ft of living area .
Answer:
A a house in that market that sells for $300,000 is unusual.
Step-by-step explanation:
Let the random variable X denote the price of a house and the random variable Y denote the living area of a house.
The number of houses surveyed by the real estate agent is, n = 1057.
Assume that both the random variables, X and Y are approximately normally distributed.
That is,
[tex]X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})[/tex]
To compute the probability of a Normal distribution we first need to convert the raw scores to z-scores.
[tex]z=\frac{\text{Raw score}-\mu}{\sigma}[/tex]
A z-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these z-scores are considered as outliers.
(1)
Compute the z-score for X = 300000 as follows:
[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70[/tex]
(2)
Compute the z-score for Y = 3000 as follows:
[tex]z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19[/tex]
The z-score for a house in that market that sells for $300,000 is more than 1.96.
This implies, that the price $300,000 is unusually high.
The complete statement is:
The house that sells for $300 comma 000 has a z-score of 2.70 and the house with 3000 sq ft has a z-score of 1.19.
Ivan and Javier manipulated the rational expression
6
x
+
4
12
x
+
4
12x+4
6x+4
start fraction, 6, x, plus, 4, divided by, 12, x, plus, 4, end fraction. Their responses are shown below.
Ivan Javier
3
x
+
2
6
x
+
2
6x+2
3x+2
start fraction, 3, x, plus, 2, divided by, 6, x, plus, 2, end fraction
6
x
12
x
12x
6x
start fraction, 6, x, divided by, 12, x, end fraction
Which student wrote an expression that is equivalent to the original expression?
Answer:only Ivan
Step-by-step explanation:
100 PTS PLEASE HELP IM BEGGING YOU
Answer:
2√14.
This means that we can rewrite the square root of the product as the product of the square roots. We know 56=4⋅14 , so this allows us to rewrite √56 as. √4⋅√14. This simplifies to 2√14.
Step-by-step explanation:
The square root of 56 is the irrational number with approximate value 7.48331 and exact value 2√(14).
Which is NOT a multiple of 15?
Answer:
2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16
Step-by-step explanation:
a square pyramid has a side length each measuring 8 centimeters
Complete question is;
A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?
Answer:
Lateral area = 80 cm²
Step-by-step explanation:
We are given;
Side length; a = 8 cm
Height of pyramid; h = 3 cm
Now, formula for Lateral area of pyramid = ½ × p × L
Where p is perimeter of base and L is slant length.
Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.
L² = (½×side length)² + h²
L² = (½×8)² + 3²
L² = 16 + 9
L = √25
L = 5 cm
Now perimeter of square base = 4a = 4 x 8 = 32cm
So,
Lateral area = ½ × p × L = ½ × 32 × 5
Lateral area = 80 cm²
Answer:
80 square centimeters
Step-by-step explanation:
we need to find the hypotenuse or the slant height of the triangle so 3^2+4^2 = the square root of 25 = 5
We got 4 because half of 8 is 4 and we are basically cutting the triangle in half because the height (3) is perpendicular to the side length.
8(5)/2 = 20
20(4) = 80
what is greater 16.5 or 18750
Answer:
18750
Step-by-step explanation:
This is because 18750 is 5 digits and 16.5 is only 2 whole digits
A plane is flying at an altitude of 13,100 ft. The angle of depression from the plane to a control tower is 12º. What is the horizontal distance from the plane to the tower? Answer rounded to the nearest tenth of a foot.
Answer:
The horizontal distance from the plane to the tower is 2784.5 feet.
Step-by-step explanation:
From the given question, the height of the control tower is not given. But;
Tan θ = [tex]\frac{Opposite side}{Adjacent side}[/tex]
Tan [tex]12^{0}[/tex] = [tex]\frac{x}{13100}[/tex]
x = 13100 × Tan [tex]12^{0}[/tex]
= 2784.4910
Thus, x = 2784.5 feet
Therefore, the horizontal distance from the plane to the tower is 2784.5 feet.
Answer:
The horizontal distance from the plane to the control tower is 61630.7 ft.
Step-by-step explanation:
Here we have that
Height of flight of plane = 13,100 ft = Opposite side of angle of elevation
Angle of depression from the plane to the control tower = 12°
Therefore, the control tower can be sighted on a straight (hypotenuse) line from the plane with an angle of depression of 12°
Angle of depression from the plane to the control tower = Angle of elevation from the control tower to the plane = 12°
Horizontal distance from the plane to the control tower = Adjacent side of the hypotenuse of the right triangle = (Opposite side of angle of elevation) ÷ (Tangent of angle of elevation)
∴ Horizontal distance from the plane to the control tower = 13,100/(tan(12°)
Horizontal distance from the plane to the control tower = 61630.7 ft. to the nearest tenth of a foot.
Evaluate this expression: 15C4
Answer:
60c
Step-by-step explanation:
15c(4)
15c*4=60c
If this wasn't how your problem was written please let me know
artie multiplies a number by 4 and then adds 3. alice first add 3 to the same number and then multiplies it by 4. alice's answer is ___ more than Artie's number.
Answer:
Alice's answer is 15 more than Artie's number.
Step-by-step explanation:
The number initially is x.
Artie's number:
Multiplies by 4, so 4x.
Subtracts 3, so 4x - 3.
Alice's number:
Adds 3, so x + 3.
Multiplies by 4, so 4(x + 3) = 4x + 12
Alice's number is how much more than Artie's?
We subtract Alice's number by Artie's number.
4x + 12 - (4x - 3) = 4x + 12 - 4x + 3 = 15
Alice's answer is 15 more than Artie's number.
HELP PLEASEE URGENT!!!!
Which description best fits the distribution of the data shown in the histogram?
skewed right
skewed left
uniform
approximately bell-shaped