Answer:
36.6666666667
Step-by-step explanation:
3(12)+2/3
What is the value of 5+5⋅34
Answer:
175
Step-by-step explanation:
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha
Answer:
a) Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
b) The test statistic
|t| = |-3.33| = 3.33
c) P - value lies between in these intervals
0.001 < P < 0.005
Step-by-step explanation:
Step( i ):-
Given data the Population mean 'μ' = 5.5
The small sample size 'n' = 16
The sample mean (x⁻) = 5.25
Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.
Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
Level of significance ∝ = 0.01
Step(ii):-
The test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]
On calculation , we get
t = -3.33
|t| = |-3.33| = 3.33
Step(iii):-
P - value
The degrees of freedom γ = n-1 = 16-1 =15
The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005
0.001 < P < 0.005
Condition(i)
P - value < ∝ then reject H₀
Condition(ii)
P - value > ∝ then Accept H₀
we observe that 0.001 < P < 0.005
P- value < 0.01
we rejected H₀
(or)
The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom
The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom
The null hypothesis is rejected
Conclusion:-
Accepted Alternative hypothesis H₁
The Claim that the true average is smaller than 5.5
Direct mail advertisers send solicitations ("junk mail") to thousands of potential customers in the hope that some will buy the company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it to 1030 people randomly selected from their mailing list of over 200,000 people. They get orders from 103 of the recipients.
Required:
Create a 95% confidence interval for the percentage of people the company contacts who may buy something. (Show your work. Step by step)
Answer:
The interval is (.0817, .118).
Step-by-step explanation:
Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.
1. Conditions
First we must check the conditions.
Randomization condition: The sample is given to be random, so we can assume independence.
Success/failure condition: Both np>10 and nq>10 must be met.
np = 1030(103/1030) = 103 ✓ nq = 1030(927/1030) = 927 ✓10% condition: The sample cannot be greater than 10% of the population.
10n < N, 10(1030) < 200000 ✓All conditions are met, so we can use a 1-proportion z-interval to represent the data.
2. Mechanics
Find [tex]\hat{p}[/tex], the sample proportion.
103/1030 = .1
[tex]\hat{q}[/tex], then, the probability of not p, is 1 - .1 = .9
Find z* (z star), the critical z-value.
You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?
invNorm(.975) = 1.96
Plug values into the equation.
[tex]\hat{p}[/tex] ± z*[tex]\sqrt{\frac{\hat{p}\hat{q}}{n} }[/tex]
.1 ± 1.96[tex]\sqrt{\frac{.1*.9}{1030} }[/tex]
.1 ± 1.96(.00935)
.1 - .0183 = .0817
.1 + .0183 = .118
(.0817, .118)
3. Conclusion
Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!
Solve SA = πrs + π r2 for s A) -r B) SA + r C) SA π2r3 D) SA - πr2 πr
Answer:
(SA - π r^2)/πr = s
Step-by-step explanation:
SA = πrs + π r^2
Subtract π r^2 from each side
SA - π r^2 = πrs + π r^2-π r^2
SA - π r^2 = πrs
Divide each side by πr
(SA - π r^2)/πr = πrs/πr
(SA - π r^2)/πr = s
Answer:
D
Step-by-step explanation:
SA = πrs + πr²
SA - πr² = πrs
s = (SA - πr²)/πr
Every 6 days John eats 20 ounces of cereal. At the same rate, how many ounces of cereal will John eat in 15 days?
Multiplication is the process of multiplying. The amount of cereal that John will eat in 15 days is 50 ounces.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that John eats 20 ounces of cereal every 6 days. Therefore, the amount of cereal that John eats every 6 days is,
Amount of cereal in a day = 20 ounces / 6 days
= (20/6) ounces in a day
Now, the amount of cereal that John will eat in 15 days is,
Amount of cereal in 15 days = 15 days × (20/6) ounces in a day
= 50 ounces
Hence, the amount of cereal that John will eat in 15 days is 50 ounces.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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You commute to work by riding a bus each day for $4.25 round trip. A weekly pass is available for $19.75 a week. If you work 5 days a week, how much can you save by buying the pass?
Answer:
$1.50
Step-by-step explanation:
The cost of 5 daily fares is ...
5($4.25) = $21.25
The difference between that and the cost of a pass is ...
$21.25 -19.75 = $1.50
You can save $1.50 per week by buying the pass.
The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x – 6, what is the second factor?
A. 3x - 4
B. 3x + 4
C. 4x - 3
D. 4x + 3
Answer:
C. 4x - 3
Step-by-step explanation:
The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...
4x -3 . . . . . matches choice C
___
If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.
3.6 x 0.025 is my question to be answered
Answer:
0.09
because I multiplied...
Answer:
0.09
Step-by-step explanation:
36/ 10 x 25/ 1000 = 18/ 5 x 1/40 = 9/100 = 0.09
Pete's checking account showed a balance at the beginning of the month of $180. After 3 days the checking account showed a balance of $160. Write a linear equations to represent the total in the checking account f(x) according to the day x.
Answer:
180 - 172 =$8 8/3=2.56
Use substitution to solve the system of equations algebraically.
x2 + y2 = 32
y = x
One solution to the system of equations is (–4, –4).
The other solution to the system of equations is _______
Answer:
The other solution to the system of equations is : (4,4)
Step-by-step explanation:
[tex]x^{2}}+y^{2} =32 \\y=x\\\\x^{2} +x^{2} =32\\2x^{2} =32\\x^{2} =16\\\\x=4 Or x=-4\\y=4 Or y=-4[/tex]
Answer:
(4, 4)
Step-by-step explanation:
Please answer number 5 find the surface area
Ill edit this later to answer the question, but what is the question???
Find the middle term of the expansion of (x+y)^8 a40x^2y^2 b70x^2y^2
Answer:
the middle term = 70x⁴y⁴
Step-by-step explanation:
Given;
(x+y)⁸
This expression can be expanded as follows, using Paschal triangle;
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
At level 8, the middle coefficient is 70
Also the power of x and y will be equal in the middle term = A(xⁿ yⁿ)
A = 70 ,
n +n = 8
n = 4
Thus, the middle term = 70x⁴y⁴
Compare the rates to find which is the best value.
A.
3 greeting cards for $13.50
B.
9 greeting cards for $38.25
C.
6 greeting cards for $23.40
D.
8 greeting cards for $32.80
Answer:
C6 greeting cards for $23.40
Step-by-step explanation:
A. 13.5/3=4.5
B. 38.25/9=4.25
C. 23.4/6=3.9
d. 32.8/8=4.1
Divide 45 minutes in the ratio 2:3
Answer: 18 minutes: 27 minutes
Here the steps see attachment
HELP WITH THIS EASY MATH AUESTION DOWN HELOW!! WILL MARK AS BRANLIEST AND I NEED AN EXPLANTION TOO
Answer:
A. 36, -36
Step-by-step explanation:
y = x^2 - 12x - 5
steps to complete the square
add a 5 to both sides to move the constant
x^2 - 12x = 5
Then take -12, the coefficient of the variable and divide by 2 and square.
12/2 = 6, 6^2 = 36
Then add 36 to both sides.
x^2 - 12x + 36 = 5 + 36
Then subtract the 5 and 36 from both sides.
x^2 - 12x + 36 - 36 - 5
Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
s Dauda and Luca had GH<600.00 more than Dauda. Il Patricia had GH2,000.00. W
was the average share, to the nearest GH!
Answer:
Answer:
GH 1533
Step-by-step explanation:
Let Dauda's share of the money=x
Patricia had twice as much as Dauda, therefore:
Patricia's share=2x
Luca had GH 600.00 more than Dauda, therefore:
Luca's Share =x+600
If Patricia had GH 2,000.00
Then: 2x=2000
x=1000
Therefore:
Dauda's Share=GH 1000Patricia's share=GH 2000Luca's Share =1000+600=GH 1,600Next, we determine the average share.
[tex]\text{Average Share=}\dfrac{1000+2000+1600}{3}\\=\dfrac{4600}{3}\\\\=$GH 1533.33\\\text{Average Share} \approx $GH 1533 (to the nearest GH)[/tex]
A group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study (Links to an external site.) was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.
Let u be the mean number of alcoholic beverages that students in the college drink in a typical week. State the hypotheses that are being tested in this problem.
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 4.73
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 4.73
Step-by-step explanation:
We are given that a group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week.
In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.
Let [tex]\mu[/tex] = mean number of alcoholic beverages that students in the college drink in a typical week.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 4.73 {means that the mean number of alcoholic drinks that students at his college have in a typical week does not differs from the mean of U.S. college students in general}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 4.73 {means that the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general}
The test statistics that can be used here is One-sample t test statistics or One-sample z test statistics depending on whether population standard deviation is given or not.
Hence, this is the hypothesis that are being tested in this problem.
A bag contains 10 Yellow, 4 Green and 7 Blue marbles. Find the following probabilies.
P(blue)
Answer:
1/3
Step-by-step explanation:
The total number of marbles
10+4+7 = 21
P(blue) = blue marbles / total marbles
= 7 / 21
= 1/3
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to make a profit of $1220.
Did you ever figure this out. I need the answer for a test.
Manuel had 7.8 grams of pepper. Then he used 0.7 grams of pepper to make some scrambled eggs.how much pepper does Manuel have left
Greetings, Brianna!
In this problem, we need to figure out how many grams of pepper Manuel has left after subtracting or taking away 0.7 grams from his original amount of 7.8 grams.
1. First of all, when subtracting decimals, the easiest thing to do is make sure your equations are lined up nicely. For example, if one number has a decimal point but the other doesn't we need to make it so the one that doesn't have a decimal point gets one. We can do this by adding .0, so we don't change the value, but rather make the subtraction process easier. Additionally, having a whole number and a decimal that is less than 1 can be tricky to subtract when lining up, so we could add a zero before the decimal. As you can see, there is no change we could make (similar to my examples), so the numbers are ready to subtract.
2. Because we know Manuel is taking the smaller number from the larger number, we will line it up as so:
7.8
-0.7
3. From there, it's quite simple: we subtract just as if it were a normal (vertical) subtraction problem, from right to left, top to bottom. Pretend the decimals aren't there (refer to text below with the matching asterisk)*.
[tex]8 - 7 = 1[/tex]
[tex]7 - 0 = 7[/tex]
7.8
-0.7
71
4. Surely that's impossible; getting 71 grams as your answer. Heck, we never started anywhere close to that! But we're not done there!
Now we have to add our decimal point. Because you are subtracting, put it in the same place as the numbers before. If you prefer just adding it as you go, refer to step #3. Place the decimal in the under the answer bar, directly underneath the other points. Don't pay much attention to it.
*Important: This is different for other operations, but when it comes to adding and subtracting decimals, the decimal will be in the same place. That's why it is important we line up the numbers exactly!
7.8
-0.7
7.1
Therefore, our answer is 7.1 grams. Manuel has 7.1 grams of pepper left.
Please let me know if this helped! Tell me if you have any questions, and if you wouldn't mind, I'd be so grateful if you could rate me.
If 5 pizzas cost 60$, how much will 9 pizzas cost
Answer:
$108
Step-by-step explanation:
If 5 pizzas cost $60, then each pizza costs $12. 9 x 12 = 108.
Answer:
108
Step-by-step explanation:
if 5 pizzas cost 60,
each pizza cost 60/5= 12dollars
then, 9 pizzas cost 12 x 9 = 108dollars
There are k students in the class. m of them are girls. How many boys are in the class? How many more boys than girls are there? HELP
Answer:
[tex]k-m=b[/tex]
[tex]b-m=diff[/tex]
Step-by-step explanation:
If there are total of k students in a class, and m of those students are girls, the total amount of boys would be:
[tex]k-m=b[/tex]
(Where k, m, b are variables that represent the total number of students, the amount of girls and the amount of boys respectively)
As the amount of girls subtracted from the total amount would leave you with the amount of boys.
There would be:
[tex]b-m[/tex] more boys than girls.
If there were 10 total students in the class and 3 of those students were girls, lets use our above equations to see if they are correct - and if we get the expected amounts of:
7 boys in the class, and 4 more boys than there are girls.
[tex]k-m=b\\10-3=7\\7=7[/tex]
This is correct, as we expected this amount.
[tex]b-m=diff\\7-3=4[/tex]
The difference between them is 4, so this is correct.
How do I type in exponents
Answer:
on what
Step-by-step explanation: normaly you have a button that you can have certain characters
Rewa Delta Union RugbyCEOhas become concerned about the slow pace of the rugby gamesplayed inthe current union rugby, fearing that it will lower the spectator attendance. The CEOmeets with the union rugbymanagers and refereesanddiscusses guidelines for speeding upand makingthe gamesmore interesting and lively. Before the meeting, the mean duration of the15-sided rugbygame timewas 3 hours, 5 minutes, that is, 185 minutes.This includes all the breaks and injury times during the game. A random sample of 36 of the 15-sided rugbygames after themeeting showed a mean of 179 minutes with a standard deviation of 12 minutes.Testing at the 1% significance level, can you concludethat the mean duration of 15-sided union rugbygames has decreased after the meeting?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Can someone plz help....!.!.!.!.!!.!.!.!.
Answer:
~ x = 12 centimeters of the route on map ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. We can see that we have to determine the cm of the route on the map, so let us convert the 1.8 kilometers ⇒ centimeters:
1.8 km = 180,000 cm
2. Given the information, let us create a proportionality as such:
1 = 15,000 ⇒ x - centimeters of the route on the map
x 180,000
3. Now let us cross multiply, and solve through simple algebra for x:
15,000 * x = 180,000,
x = 12 centimeters of the route on map
Need done ASAP please
Step-by-step explanation:
a. 81 ÷ 9 = 9
b. 40 ÷ 5 = 8
c. 21 ÷ 3 = 7
d. 54 ÷ 6 = 9
e. 42 ÷ 7 = 6
f. 63 ÷ 9 = 7
g. 36 ÷ 4 = 4
h. 45 ÷ 9 = 5
i. 39 ÷ 3 = 12
j. 24 ÷ 6 = 4
The Vacaville tax assessor determined that the market value of the Perry’s house is $132,000. The rate of assessment in Vacaville is 50% of market value. The tax rate is 48.75 mills. What is the real estate tax on the Perry’s house?
1 point
$32.18
$321.75
$3217.50
$6435.00
Answer:
$3217.50
Step-by-step explanation:
The tax is computed as ...
($132,000)(1/2)(48.75/1000) = 66·48.75 = 3217.50
The real estate tax on the Perry's house is $3217.50.
Help anyone? Who knows this 6th grade math
Answer:
√33 ≈ 5.7
Step-by-step explanation:
The length of the bottom diagonal is given by pythagoras, let's call it d:
[tex]d =\sqrt{5^2+2^2}[/tex]
Then, the length of the diagonal through the box is also given by pythagoras as:
[tex]\sqrt{d^2 + 2^2}[/tex]
In total, that is:
[tex]\sqrt{5^2 + 2^2 + 2^2} = \sqrt{33} \approx 5.7[/tex]
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answer:
A8
B 0
F 5
Step-by-step explanation:
x+22<32
Subtract 22 from each side
x+22-22 <32-22
x < 10
8 is less than 10
0 is less than 10
5 is less than 10
how to solve x^2+8x+3 using the quadratic formula
Answer:
x = sqrt(13) - 4 or x = -4 - sqrt(13)
Step-by-step explanation:
Solve for x:
x^2 + 8 x + 3 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 3 from both sides:
x^2 + 8 x = -3
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 13
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 13
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = sqrt(13) or x + 4 = -sqrt(13)
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = sqrt(13) - 4 or x + 4 = -sqrt(13)
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)
