Answer:
12/25
Step-by-step explanation:
multiply the fractions.
multiply the numbers.
find the volume of the cylinder with a diameter of 12 inches and a height of 10
Answer:
360 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 12 so the radius is 1/2 the diameter
r = d/2 = 12/2 = 6
V = pi (6)^2 * 10
V = pi (36)*10
V = 360 pi in ^3
We can approximate pi by 3.14
V =1130.4 in ^3
Or we can approximate pi by using the pi button
V =1130.973355 in ^3
13s = 611 solve for s
Answer:
s=47
Step-by-step explanation:
s=[tex]\frac{611}{13}[/tex]
s=47
In addition to rent, people who live in apartments often have to pay for what?
O A Homeowner's insurance
O B. Property taxes
O c. Utility bills
O D. Repairs to the apartment
Answer:
C
Step-by-step explanation:
When my parents rented a house, they had to pay utility (gas, water, bill) because it really just depends on how much we pay. Homeowner's insurance is not necessary since you don't own the house, property taxes are paid by the leaser, and repairs are usually covered by your security deposit or down payment.
Answer:
Utility bills
Step-by-step explanation:
No homeowners insurance because you are the renter
No property taxes because you don't own the property
Repairs are the responsibility of the landlord
Rewrite the equation by completing the square x^2+2x-3=0
Answer:
( x+1)^2 = 4
Step-by-step explanation:
x^2+2x-3=0
Add 3 to each side
x^2 +2x = 3
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2 =1
Add to each side
x^2 +2x = 3
x^2 + 2x+1 = 3+1
( x+1)^2 = 4
Take the square root of each side
x+1 = ±2
Subtract 1 from each side
x+1-1 = -1 ±2
x = -1+2 x = -1-2
x =1 x = -3
In the formula for the surface Area of a pyramid, whar do the letters of the formula mean?
Answer:
The formula for surface area of a pyramid is A=B*P*I
Step-by-step explanation:
Where B= Area of the base
P=Perimeter of the base
I=Slant height.
1 pts
Question 5
The size of gasoline tanks in cars is normally distributed with a mean size of 24.8 gallons and a standard
deviation of 6.2 gallons. What percent of tanks are less than 31 gallons. Round answer to the nearest
percent
84%
71%
16%
20%
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%
The distance between two cities on a map measures 3.75 inches.The scale on the map shows 2 inches is equal to 50 miles.How many miles apart are the two cities
Answer:93.75 miles
Step-by-step explanation:
Given
Distance between two cities is [tex]3.75\ inches[/tex]
and Map 2 shows 2 inches is equal to [tex]50\ miles[/tex]
So each inch is equal to [tex]25\ miles[/tex]
So [tex]3.75\ in.[/tex] measures
[tex]\Rightarrow =3.75\times 25=93.75\ miles[/tex]
So cities are [tex]93.75\ miles[/tex] apart
What does this mean?
Answer:
The correct answer is A
Using the numbers shown each line on the graph represents 0.1
R is 2 lines above 33.0, so R would be 33.2
The answer is A.
Factor the polynomial below.
4x^2-16
A.
4(x - 2)2
B.
4(x + 2)(x - 2)
C.
4(2 + x)(2 - x)
D.
4(2 - x)2
Answer:
The answer is: B. 4(x+2)(x-2)
Step-by-step explanation:
Just had this on a test, got it right!
2x + 3 = x -4 what is the solution to this equation
Step-by-step explanation:
2x + 3 = x-4
2x-x. = -4-3
x= -7
What’s the correct answer for this?
Answer:
[tex]\mathrm{Circle\:with\:center\:at}\:\left(13,\:1\right)\:\mathrm{and\:radius}\:r=2[/tex]
Step-by-step explanation:
[tex]\left(x-13\right)^2+\left(y-1\right)^2=4\\Circle\:Equation\\\left(x-a\right)^2+\left(y-b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)\\\mathrm{Rewrite}\:\left(x-13\right)^2+\left(y-1\right)^2=4\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}\\\left(x-13\right)^2+\left(y-1\right)^2=2^2\\Therefore\:the\:circle\:properties\:are:\\\left(a,\:b\right)=\left(13,\:1\right),\:r=2[/tex]
Given the following expressions: which expression result in an irrational number?
Answer:
(1) II only
Step-by-step explanation:
[tex]\frac{1}{2} +\sqrt{2} \:is\: the\: only\: irrational\; number\: out\; of\: the\: given\: numbers.[/tex]
Which is the equation of a hyperbola centered at the origin with focus 0,4) and vertex (0, square root of 12 )?
Answer:
The equation of the hyperbola is:
[tex]\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1[/tex]
Step-by-step explanation:
The equation of a hyperbola centered in the origin in standard form is:
[tex]\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1[/tex]
The distance between both vertexes is equal to:
[tex]2\cdot b = \sqrt{(0-0)^{2}+(\sqrt{12}+\sqrt{12})^{2}}[/tex]
[tex]2\cdot b = 2\cdot \sqrt{12}[/tex]
[tex]b = \sqrt{12}[/tex]
Now, the distance between any of the vertexes and origin is:
[tex]c = \sqrt{(0-0)^{2}+[(4-(-4)]^{2}}[/tex]
[tex]c = 8[/tex]
The remaining parameter of the hyperbola is determined by the following Pythagorean expression:
[tex]c^{2} = a^{2} - b^{2}[/tex]
[tex]a = \sqrt{c^{2}+b^{2}}[/tex]
[tex]a = \sqrt{64+12}[/tex]
[tex]a = \sqrt{76}[/tex]
The equation of the hyperbola is:
[tex]\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1[/tex]
Answer:
The equation of the hyperbola is:
x²/76 - y²/12 = 1
Step-by-step explanation:
The standard for of an equation of a hyperbola centered in the origin is given as:
x²/a² - y²/b² = 1
The distance between both vertexes is:
2b, where b = √12
The distance between any of the vertexes and origin is:
c = 8
But a² = b² + c² (Pythagoras rule)
c² = a² - b²
8² = a² - 12
a² = 64 + 12 = 76
a = √76
Therefore, the equation of the hyperbola is:
x²/76 - y²/12 = 1
Help please. Will put brainliest
Answer:
ok
Step-by-step explanation:
what is the difference between a low and a high variability
Answer:
Step-by-step explanation:
Variability refers to how spread out a group of data is. Data sets with similar values are said to have little variability, while data sets that have values that are spread out have high variability.
In the right hexagonal pyramid below. The hexagonal base is regular and has sides that are 8 units long. The altitude of the pyramid is 18 units. Determine the volume of the pyramid to the nearest cubic unit.
Answer:
The volume is 997.62 cubic units..
Step-by-step explanation:
We are given the following details:
The pyramid has a regular hexagonal base i.e. each side of hexagon is equal.
Side of hexagonal base, a = 8 units
Altitude of pyramid, h = 18 units
We have to find the volume of pyramid.
Formula:
[tex]V = \dfrac{1}{3} \times B \times h[/tex]
Where, B is the area of base of pyramid.
h is the height/altitude of pyramid
To calculate B:
Here, base is a hexagon with side 8 units.
[tex]\text{Area of hexagon, B }= 6 \times \dfrac{\sqrt{3}}{4}a^{2}[/tex]
Here, a = 8 units
[tex]\Rightarrow B = 6 \times \dfrac{\sqrt{3}}{4}\times 8^{2}\\\Rightarrow B = 166.27\text{ square units}[/tex]
Putting values of B and h in Formula of volume:
[tex]\Rightarrow V = \dfrac{1}{3} \times 166.27 \times 18\\\Rightarrow V = \dfrac{2992.89}{3} = 997.62\text{ cubic units}[/tex]
Hence, the volume is 997.62 cubic units.
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5 % significance level. Test H0 : p = 0.5 vs Ha : p > 0.5 using the sample results p= 0.64 with n = 75. Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.
Answer:
[tex]z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(z>2.43)=0.0075 \approx 0.008[/tex]
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Step-by-step explanation:
Data given and notation
n=75 represent the random sample taken
[tex]\hat p=0.64[/tex] estimated proportion of interest
[tex]p_o=0.5[/tex] is the value that we want to test
[tex]\alpha=0.05[/tex] represent the significance level
Confidence=95% or 0.95
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if the true proportion is higher than 0.5:
Null hypothesis:[tex]p =0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43[/tex]
Now we can calculate the p value with the following probability:
[tex]p_v =P(z>2.43)=0.0075 \approx 0.008[/tex]
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Testing the hypothesis, it is found that:
The test statistic is z = 2.42.The p-value is of 0.008.Since the p-value of the test is 0.008 < 0.05, there is significant evidence to conclude that the proportion is greater than 0.5.The null hypothesis is:
[tex]H_0: p = 0.5[/tex]
The alternative hypothesis is:
[tex]H_0: p > 0.5[/tex].
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]\overline{p} = 0.64, p = 0.5, n = 75[/tex].
The value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.64 - 0.5}{\sqrt{\frac{0.5(0.5)}{75}}}[/tex]
[tex]z = 2.42[/tex]
The p-value is the probability of finding a sample proportion above 0.64, which is 1 subtracted by the p-value of z = 2.42.
Looking at the z-table, z = 2.42 has a p-value of 0.992.
1 - 0.992 = 0.008, hence, the p-value is of 0.008.
Since the p-value of the test is 0.008 < 0.05, there is significant evidence to conclude that the proportion is greater than 0.5.
A similar problem is given at https://brainly.com/question/15350925
Fill in the missing numbers...
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ?, ?, ?, ?, ?
Answer:
10, 13, 3, 12, and 2
Step-by-step explanation:
Without graphing, determine the number of solutions of the system. State whether the system is consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent.
Answer: I cant see the picture right. So im sorry i could not help :(
Step-by-step explanation: IM SOOO SORRY D:
Dan drives 140 miles on Monday and 125 km on Tuesday. How many km did he drive in total?
Answer:
365.308 km
Explanation:
If you convert 140 miles into kilometers you get 225.308 km. Then you just have to add 140 and 225.308 together to get your answer. Hope this helped.
6th grade math help :D....
The unit price of the first one which is a is 8 cents an ounce. The second one is 9 cents an ounce.
What you do is you take your price and divide it by the ounces.
Question one's answer is 0.08
Question two's answer is 0.09
Solve this equation: -72 + 12 - 2.x = 23 + 13.2
Answer:
x =-48.1
Step-by-step explanation:
-72 + 12 - 2.x = 23 + 13.2
Combine like terms
-60 -2x = 36.2
Add 60 to each side
-2x -60+60 = 36.2+60
-2x = 96.2
divide by -2
-2x/-2 = 96.2/-2
x =-48.1
Answer:
[tex] = - 48.1[/tex]
Step-by-step explanation:
[tex] - 72 + 12 - 2x = 23 + 13.2 \\ - 2x = + 72 - 12 + 23 + 13.2 \\ - 2x = 96.2 \\ \frac{ - 2x}{ - 2} = \frac{96.2}{ - 2} \\ x = - 48.1[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the similarity ratio of PQR to VXW?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
I'll give brainliest if you can answer correctly before midnight!
The similarity ratio of PQR to VXW is represented as 4 / 1
What are similar triangles?Similar triangles have the same shape but there sizes may vary. In similar triangles, corresponding sides are always in the same ratio.
The corresponding angles are congruent.
Therefore, the similarity ratio can be found as follows:
PQ / VX = PR / VW = QR / XW
Therefore,
8 / 2 = 4 / 1 = 8 / 2
4 / 1 = 4 / 1 = 4 / 1
Therefore, he similarity ratio of PQR to VXW is 4 / 1
learn more on similar triangle here: https://brainly.com/question/12062060
#SPJ2
Right triangle EFG has its right angle at F, EG=6, and FG=4. What is the value of Cos(G)?
Answer:
cos(G)= 0.66667
Then value of angle G is
= 48.12°
Step-by-step explanation:
Right triangle EFG has its right angle at F.
EG=6, and FG=4.
What is the value of Cos(G)?
The value of cos(g)
= adjacent/hypotenuse
Where FG = adjacent
EG = hypotenuse
.cos(G) = 4/6
cos(G)= 0.66667
G = 48.12°
Factor 64b-16c to identify the equivalent expressions. *
Answer:
The factored form of this would be 16(4b - c)
Step-by-step explanation:
In order to find this, look for the greatest common factor of 16 and 64. You can do this by listing out their factors. Once this is done and we identify 16 as the GCF, we can then put that on the outside of the parenthesis and divide all the terms inside by that number.
A wage sheet of a small business shows one employee’s details. The employee is paid $40 an hour for overtime hours where they work more than their usual 26 hours.
Answer: whats the question tho
Step-by-step explanation:
Answer:whats the question
Step-by-step explanation:
a bus drives 66km/h at an average of 24 km/h how long does the journey take?
Answer:
2 hours and 45 minutes
Step-by-step explanation:
speed=distance/time
given speed=24kmph
distance=66km
time=distance/speed
66/24
samuel earns 3$ an hour less than jack. in 6 hours samuel earns 72$. which equation can be used to find x, the amount, in dollars, jack earns in an hour
Answer:
(x - 3) * 6 = 72
jack earns $ 15 an hour and samuel $12 an hour
Step-by-step explanation:
we know that samuel earns 3 dollars less than jack, let's say that "x" is what jack earns, in addition to this we know that samuel earns a total of 72 dollars in 6 hours, therefore we have to:
(x - 3) * 6 = 72
this would be the equation to determine x, we solve it:
6 * x - 18 = 72
6 * x = 72 + 18
x = 90/6
x = 15
which means that jack earns $ 15 an hour and samuel $12 an hour
What is the value of the y in te equation y-13=57
Answer:
Y=70
Step-by-step explanation:To find Y add 57 + 13. To check your answer do 70-13=57.
multiply -x^2(x^2+5x-8)
Answer:
[tex]-x^4-5x^3+8x^2[/tex]
Step-by-step explanation:
[tex]\left(-x^2\right)x^2+\left(-x^2\right)\cdot \:5x+\left(-x^2\right)\left(-8\right)\\-x^2x^2-5x^2x+8x^2\\-x^4-5x^3+8x^2[/tex]
Answer: −x4−5x3+8x2
Step-by-step explanation: