Answer:
1/4
Step-by-step explanation:
1. 4/16
2. 2/8
3. 1/4
Answer:
1/4
Step-by-step explanation:
Here is why:
When dividing both sides by 4 you will get 1 on the top and 4 on the bottom!
Any Questions?
Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]
So, the length of the other side is equal to 3.5 cm.
9/11 = c/55
c=???
answwedbhksjbdew
\
Answer:
C=45
if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5
multiply 9 by 5 to get 45
Step-by-step explanation:
A toothpaste advertises that 30% of stains are removed after 1 week. As Alexa is brushing her teeth, she thinks "after 2 weeks, 60% of stains will be gone, and 90% after three weeks".
Using this reasoning, what percent of stains will be gone after four weeks? Does this result make sense? Why or why not?
Answer:
120%. doesn't make sense because there's nothing above 100%
What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.
O 7.1
O 8.7
O 21.3
O 26.7
Answer:
8.7
Step-by-step explanation:
formula
d = sqrt(s^2 + s^2 + s^2)
d = sqrt(3*5^2)
d = sqrt(75)
d = 8.7
Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)
Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.
Answer:
hello love! your answer is 8.7cm :)
Step-by-step explanation:
i got it right on edge !
A study was done to investigate the relationship between a between eating sugary snacks and a test that measures a
student's memory and attention. The correlating linear model is shown below, where x represents the number of sugar
snacks a student ate, and y represents the student's test score.
Interpret the rate of change (slope).
y = -5x
Answer:
Each additional sugary snack eaten is associated with a loss of five points on the test.
Step-by-step explanation:
Pencils 6 18 Erasers 2 will mark brainlest
Answer:
this is your answer as it lies in a same ratio..
A sewing machine sews at a constant rate of 1,500 stitches per minute. If the equation, y = 1,500x represents the relationship between the number of minutes, x, and the total number of stitches, y, what is the independent and dependent variable? (EE.C.9b)
Answer:
Step-by-step explanation:
x is the independent variable. y is the dependent variable.
Dependent variables take their values based on values of independent variables. In the considered case, we have:
Independent variable is x = number of minutesDependent variable is y = total number of stitchesWhat are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
The variables who take their values based on some other variables' values are called dependent variables.
For the considered case, the two variables in consideration are:
x = number of minutesy = the total number of stitchesTime doesn't depend on number of stitches. Its thus, measuring an independent quantity.
The total number of stitches depends on how much time it passed since sewing. So the quantity 'y' depends on the value of 'x'
Thus, variable 'y' is dependent variable.
Therefore, in the considered case, we have:
Independent variable is x = number of minutesDependent variable is y = total number of stitchesLearn more about dependent and independent quantities here:
https://brainly.com/question/19622665
Exercise 12.1.1: Coin flips and events. About A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads.
Answer:
a [tex]Pr = 0.25[/tex]
b [tex]Pr = 0.50[/tex]
c [tex]Pr = 0.1875[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex] --- number of times
[tex]r = 2[/tex] --- faces of a coin
First, is to determine the sample size.
This is calculated as:
[tex]Size =r^n[/tex]
[tex]Size =2^4[/tex]
[tex]Size =16[/tex]
Solving (a): First and last slip is head
This event is represented as:
[tex]E=\{HHHH, HHTH, HTHH, HTTH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{4}{16}[/tex]
[tex]Pr = 0.25[/tex]
b) At least 2 consecutive flips that is heads.
This event is represented as:
[tex]E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{8}{16}[/tex]
[tex]Pr = 0.50[/tex]
c) First is tail and at least 2 consecutive flips is head.
This event is represented as:
[tex]E=\{THHH,THHT,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{3}{16}[/tex]
[tex]Pr = 0.1875[/tex]
Please help me simplify this!!! Thank you so much.
Answer:
[tex] {3}^{2} [/tex]
Step-by-step explanation:
♡ Good Lessons ♡
Answer:
it's indices tho so you'll use addition/subtraction rule
Alex, Ben, Chuck, and David all called in to a radio show to get free tickets to a concert. List all the possible orders in which their calls could have been received.
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is Fifty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.
x 0 1 2 3 4
px(x) 0.1 0.2 0.3 0.25 0.15
Required:
a. What is P(X = 4, Y = 2)?
b. Calculate P(X = Y).
Answer:
Step-by-step explanation:
From the information given:
X represent no of Canon SLR
The pmf is given as:
X 0 1 2 3 4
p(x) 0.1 0.2 0.3 0.25 0.15
p = P(customers that purchase the camera & also purchase an extended waranty.
As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.
[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]
The condition probabilities Y given X is:
[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]
[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]
Now, the joint P.D (probability Dist.) of X & Y is expressed as:
[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]
The Joint P.D is;
Y Total
0 1 2 3 4
X 0 0.1 0 0 0 0 0.1
1 0.09 0.11 0 0 0 0.2
2 0.06075 0.1485 0.09075 0 0 0.3
3 0.022781 0.083531 0.102094 0.041594 0 0.25
4 0.006151 0.030071 0.055131 0.044921 0.013726 0.15
Total 0.279682 0.372103 0.247974 0.086515 0.013726 1
(a)
P(X=4,Y=2)
From the table above:
P(X=4,Y=2) = 0.055131
(b)
[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
G is the same as the other one so it's also 129. Their angle relationship are verticle angles.
20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ELSE I WILL REPORT.
Answer:
both each side of each triangle is equal
use alphabets to mark each edge of the triangles and prove congruency
Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees
Answer:
y = 98(w) + 115(18 - w)
Step-by-step explanation:
The expression that represents how much Kevin spends for classes at both schools : (#credits at Westside)($98) + (#credits at pinewood)($115). If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be, if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits. If y is the total cost of is courses, then y = 98(w) + 115(18 - w). Using the distributive property, this can be simplified.
Help help help help help help
Answer:
18.457
Step-by-step explanation:
1) Deb owns a cake shop and she is working on two wedding cakes this week. The first cake
consists of 5 small tiers and 3 medium tiers, which will serve a total of 252 guests. The
second one includes 1 small tier and 3 medium tiers, which is enough servings for 168
guests. How many guests does each size of tier serve?
A small tier will serve
guests and a large tier will serve guests.
Answer: Hope this helps
Step-by-step explanation:
Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.
The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.
The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.
The system of equations is then { 3s+m=100 3s+2m=140
{
3s+m=100
3s+2m=140
Part B:
The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:
3s+2m amp;= amp;140 −(3s+m amp;= amp;100) m amp;= amp;40
3s+2m
−(3s+m
m
amp;=
amp;=
amp;=
amp;140
amp;100)
amp;40
Substitute m=40m=40 into either equation and solve for ss:
3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20
3s+m
3s+40
3s
s
amp;=100
amp;=100
amp;=60
amp;=20
The solution of the system is then (s,m)=(20,40)
(s,m)=(20,40)
.
Part C:
Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
30 or 60 both work
Step-by-step explanation:
please make me branlest
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure? (In other words, try and map the red figure on the blue figure).
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
Answer:
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.Step-by-step explanation:
Easy way to take one of the vertices and apply the transformations1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
False2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
True(-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
False4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
FalseQuadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side IJ. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Thank you:)
Answer:
the answer is 5425.23
Step-by-step explanation:
Since this is a multistep equat you would need a calculator for this
A side of 6 feet, and a 120° angle
A. One
B. None. C. Many
Answer:
C. Many ang sagot............
Stephen opens a savings account with an initial deposit of $300.
Every month, Stephen will deposit an additional $250 into the
account from his paycheck. Which function below shows the total
amount of his deposits for x number of months?
A. y = 300x + 250
B. y = 12x + 550
C. y = x(300 + 250)
D. y = 250x + 300
According to the AAA Foundation for Traffic Safety's American Driving Survey, U.S. drivers spend.
on average, 51 minutes behind the wheel each day. A researcher believes this is an overstatement.
To investigate, a random sample of 75 drivers were selected. The study revealed that the mean
time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of
18.8 minutes. Is there convincing evidence that the mean time behind the wheel for all U.S. drivers
is less than 51 minutes? Use a = 0.01.
Answer:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
Step-by-step explanation:
U.S. drivers spend on average, 51 minutes behind the wheel each day.
This means that at the null hypothesis we test that:
[tex]H_{0}: \mu = 51[/tex]
Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 51[/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.
51 is tested at the null hypothesis:
This means that [tex]\mu = 51[/tex]
The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.
This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]
[tex]z = -2.12[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.
Looking at the z-table, z = -2.12 has a pvalue of 0.017.
Decision:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Given the following data:
Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the null hypothesis, we would test that:
[tex]H_o : \mu =51[/tex]
For the alternate hypothesis, we would test that:
[tex]H_a : \mu < 51[/tex]
The test statistics would be calculated with this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]
Z = -2.12.
What is a p-value?In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.
From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.
In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Read more on null hypothesis here: https://brainly.com/question/14913351
What should be included in a financial plan to protect assets?
PLZZZ HELP
QUESTION:Find the slope between the 2 points (rise/run)
What is the y-intercept
Write the equation in y=mx+b
Answer:
your answer should be -2/3
Sue needs to drive 372 miles to visit her aunt. She stopped at a gas station one-third of the way in to her trip. How many miles has she traveled?
Answer:
Sue has traveled 124 miles.
Step-by-step explanation:
Here, the distance covered by Sue is a fraction of the total distance to be covered.
The total distance to her aunt's = 372 miles
but the gas station is at one-third of the distance to be covered.
Thus,
Miles traveled by Sue = [tex]\frac{1}{3}[/tex] x 372
= 124
Miles traveled by Sue = 124 miles.
Therefore Sue has traveled 124 miles.
A baseball is thrown upwards from an elevation of 64 feet. The ball reaches a
maximum elevation of 100 ft after one-and-a-half seconds and lands on the
ground (elevation of Oftafter four seconds.
A quadratic function models this situation. On the grid below, sketch a graph
of this function.
What is the y-intercept? Label. What does it represent in the context of
the problem?
Baseball Throw
100
90
What is the x-intercept? Label. What does it represent in the context of
the problem?
80
70
60
What is the vertex? Label. What does it represent in the context of the
50
problem?
40
30
What is the Domain of your sketch?(written in proper form)
20
10
What is the Range of your sketch? (written in proper form)
0
0 1 2 3 4
Time (seconds)
Elevation (ft)
Answer:
Hello, I am having difficulties understanding thsi question, could youplease help me out so I can help you out?
Step-by-step explanation:
Thank you! -Brainly UserWhat is the value of this expression when X equals 8? 4X -6+ X +3
Answer:
32-6+8+3
37
Step-by-step explanation:
Answer:
32 - 6 + 8 + 3 = 37
Step-by-step explanation:
Since we have the x-value, we can plug it in.
4(8) -6 +(8) +3
32 - 6 + 8 + 3
26 + 11
37
If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?
Answer: 114 homeruns on mars
Step-by-step explanation: 76 homeruns x 0.5 = 38
76+38 = 114
If x2 = 10, what is the value of x? O I/10 O120 05 O +20
If you mean:
x² = 10
√x² = √10
x = √10
if you meant:
2x = 10
2x/2 = 10/2
x = 10/2
x = 5
hope this helps?
Find x. Round to the nearest tenth. Please help with my geometry!! I will have a couple more posted after this also :(
9514 1404 393
Answer:
x = 4.9 cm
Step-by-step explanation:
The product of segment lengths is the same for each chord:
(7 cm)(7 cm) = x(10 cm)
x = (49 cm^2)/(10 cm)
x = 4.9 cm