Answer:percentage answer is 41.7% and for the fractions its 5/12
Step-by-step explanation:
for percentage to need to get the fraction to where the twelve in 7/12 is 100 so you multiply 8.3 to 12 and get 100 but you need to multiply it to the top too so you're left with 58.3/100 but that's the fraction of the goal made so what you do is subtract 58.3 from one hundred and you get 41.7 making your total 41.7%.
the way to solve the fraction is to start by subtracting the overall point to the points made and the sum would be the points missed and the point missed are 5/12 and that fraction is simplified to the max
Help please. Will put brainliest
Answer:
ok
Step-by-step explanation:
a box contains 5 green pencils and 7 yellow pencils. two pencils are chosen at random from the box without replacement. what is the probability they are different colors
Answer:
A box contains 5 green pencils and 7 yellow pencils.
Two pencils are chosen at random from the box without replacement.
=> There are two cases:
1st pick green & 2nd pick yellow: P = 5/12 x 7/11 = 0.265
1st pick yellow & 2nd pick green: P = 7/12 x 5/11 = 0.265
Add up both cases, the probability they are different colors:
P = 0.265 + 0.265 = 0. 53
Hope this helps!
:)
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!
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.
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7 comma 539 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7 comma 359 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7 comma 539 hours question mark b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach?
Answer:
a) Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539
b) [tex]t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5[/tex]
The degrees of freedom are given by:
[tex]df=n-1=49-1=48[/tex]
The p value is given by:
[tex]p_v =P(t_{(48)}<-1.5)=0.07[/tex]
c) [tex]7359-2.01\frac{840}{\sqrt{49}}=7117.8[/tex]
[tex]7359+2.01\frac{840}{\sqrt{49}}=7600.2[/tex]
d) For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval
Step-by-step explanation:
Part a and b
Data given
[tex]\bar X=7359[/tex] represent the sample mean
[tex]\sigma=840[/tex] represent the population standard deviation
[tex]n=49[/tex] sample size
[tex]\mu_o =7539[/tex] represent the value to test
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to verify
We want to verify if the mean life is different from 7539 hours, the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 7539[/tex]
Alternative hypothesis:[tex]\mu < 7539[/tex]
The statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{7359-7539}{\frac{840}{\sqrt{49}}}=-1.5[/tex]
The degrees of freedom are given by:
[tex]df=n-1=49-1=48[/tex]
The p value is given by:
[tex]p_v =P(t_{(48)}<-1.5)=0.07[/tex]
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 7539
Part c
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
We can find the critical value using the confidence level given of 95% and using the t distribution with 48 degrees of freedom we got [tex]t_{\alpha/2}=\pm 2.01[/tex]
Now we have everything in order to replace into formula (1):
[tex]7359-2.01\frac{840}{\sqrt{49}}=7117.8[/tex]
[tex]7359+2.01\frac{840}{\sqrt{49}}=7600.2[/tex]
Part d
For this case since the confidence interval contains the value of 7539 we don't have enough evidence to reject the null hypothesis at the significance level given of 5%. same conclusion using the hypothesis test and with the confidence interval
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
An isosceles triangle has a base whose length is 14 centimeters and whose base angle each measure 68
Answer:
I guess you want to find the lenght of the sides and the other angle, so let's do that:
We know that the base has a length of 14 cm.
The two base angles are 68°
First, we can find the other angle knowing that the sum of all interior angles of a triangle must add up to 180°.
2*68° + X = 180°
X = 180° - 2*68° = 44°
Now let's find the length of the sides (that is the same for both sides, as we have an isosceles triangle.
For this we can draw a line for the middle of the base that goes through the top vertex, creating in this way a triangle rectangle.
We know that one of the cathetus will have half of the length of the base, this is 7cm.
the adjacent angle to this cathetus is 68°, now we want to find the hypotenuse of this triangle, we can use the relation:
Cos(A) = adjacent cathetus/hypotenuse:
Cos(68°) = 7cm/H
H = 7cm/cos(68) = 18.7cm
this hypotenuse is equal to the side length of our isosceles triangle, so now we have it fully determined.
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
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
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:
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
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.
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
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
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.
what is Evaluate
120 + 5
Answer:
24
Step-by-step explanation:
1: Divide 120 by 5 = 24
Answer: 24
Hope this helps.
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%
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]
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:
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:
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 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.
100 PTS PLEASE HELP IM BEGGING YOUU
Answer:
3√5 thats the answer i glad yo me helping you
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°
Which detail supports the author's point that our senses lack precision?
"Some people boast of having a sixth sense..."
"Among our five senses, sight is the most special to us."
"Our .. eyes have no trouble spotting a lone match... across a darkened auditorium."
"Increase it (a sound's volume] by a factor of 2 and you will barely notice."
Answer:
"Some people boast of having a sixth sense..."
Step-by-step explanation:
The author of these statements emphasised that our senses lack precision with the statement - "Some people boast of having a sixth sense..."
This implies that no one of the five senses (smell, touch, taste, hearing, and sight) is being used for an action. Rather an intuitive sixth sense is being used. So the five senses lack precision.
The other options emphasise various senses:
- "Among our five senses, sight is the most special to us." Emphasises sight.is precise
- "Our .. eyes have no trouble spotting a lone match... across a darkened auditorium." Implies sight is precise
- "Increase it (a sound's volume] by a factor of 2 and you will barely notice." Implies precision of hearing. An increase by a factor of 2 is imperceptible
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
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.
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 fourth term in the binomial expansion of (2x – y) 7?
Answer:
[tex] (7C4) (2x)^4 (-y)^{7-4}[/tex]
And replacing we got:
[tex] 35 (2^4) x^4 (-y)^{-3}[/tex]
And then the final term would be:
[tex] -560 x^4 y^3[/tex]
Step-by-step explanation:
For this case we have the following expression:
[tex] (2x-y)^7[/tex]
And we can use the binomial theorem given by:
[tex] (x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}[/tex]
And for this case we want to find the fourth term and using the formula we have:
[tex] (7C4) (2x)^4 (-y)^{7-4}[/tex]
And replacing we got:
[tex] 35 (2^4) x^4 (-y)^{-3}[/tex]
And then the final term would be:
[tex] -560 x^4 y^3[/tex]