Answer:
The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.
The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.
The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).
While remodeling their living room, the Smart family decided to repaint the walls. They
estimated that they could repaint 55 square feet every half-hour. How many square feet
can they paint per hour?
Answer:
The Smart family could paint 110 square feet per hour.
Step-by-step explanation:
Given that while remodeling their living room, the Smart family decided to repaint the walls, and they estimated that they could repaint 55 square feet every half-hour, to determine how many square feet can they paint per hour the following calculation must be performed:
1/2 = 0.5
0.5 = 55
1 = X
55 / 0.5 = X
110 = X
Therefore, the Smart family could paint 110 square feet per hour.
can you help me solve for x.
Answer:
x=4
Step-by-step explanation:
Can someone pls help me 26 x 2/3
Answer:
52/3
Pretty simple just multiply 26 to the 2 and put the 3 to the bottom.
Answer:
C, and D are both correct options.
Step-by-step explanation:
Have a nice day! :-)
if you were to roll a dice one time what is the odds of rolling a number less than three?
Answer:
1/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. On a fair die, the number are 1 to 6 while 1 and 2 are the only numbers less than 3.
Hence the odds of getting a number is the ratio of 6 to 6 while the odds of getting a number lower than 3 will be
= 2/6
= 1/3 (in the lowest term)
This is because the odd of getting 1 is 1/6 and the odd of hetting 2 is 1/6 9 recall that both numbers appear once on a die). Hence the odd of getting 1 or 2 will be
= 1/6 + 1/6
= 2/6
=1/3
What is the vertex of the graph of f (x) = 2x2 – 4x ?
Answer:
Step-by-step explanation:
vertex at (x,y)=(1,−1)
axis of symmetry: x=1
mark brailiest
Find the Surface Area of this Prism
Answer:
[tex]54 m^2[/tex] is the correct answer I believe
42-(32+4)+7
Evaluate the following expression
Answer:
13
Step-by-step explanation:
42 - (32 + 4) + 7 =
42 - 36 + 7 =
13
Answer:
15.
Step-by-step explanation:
Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.
I hope this helped, have a nice day.
angle DAC= angle BAD
what is the length of side bd round to one decimal place
Answer:
BD ≈ 2.8 units
Step-by-step explanation:
By angle bisector theorem,
"If a segment bisects an angle of a triangle, then it divides the opposite side into the segments which are proportional to the other two sides"
Here, AD is the bisector of the ∠BAC,
[tex]\frac{BD}{CD}=\frac{AB}{AC}[/tex]
[tex]\frac{8.1}{5.9}= \frac{BD}{2}[/tex]
BD = [tex]\frac{2\times 8.1}{5.9}[/tex]
BD = 2.75
BD ≈ 2.8 units
Please help me!!!
Find the measure of angle x in the figure below:
Answer:
Step-by-step explanation:
Please can someone help me I’m confused and lost
Answer: the answer is the third one
Step-by-step explanation:
well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3
how do you prove a theorem?
Answer:
Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.
Step-by-step explanation:
Answer:
There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction
hope this helps
have a good day :)
Step-by-step explanation:
give the other person brainliest pls
Help Please! I've been stuck and options are below!
Answer:
first question is b second is d
Step-by-step explanation:
Winston works selling bicycles.
He is paid a flat rate of $200 plus $50 for every bicycle that he sells.
How many bicycles must Winston sell to earn at least $650?
Answer:
3
Step-by-step explanation:
650/250 = 2.6 (3)can't sell half a cycle
PLEASE HELP
A bag hes 10 red marbles, 3 green marbles,
7 yelow marbles, and 5 blue merbles. What is
the probability of crowing a red marble and
then g, blue, marble without replacing the first?
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Probability is the chance of an event happening. One finds the probability of an event by using the following general formula,
[tex]\frac{desired}{total}[/tex]
In this case, the desired outcome is pulling whether a red or blue marble from the bag, the desired equals the sum of the number of red and blue marbles.
(red) + (blue)
= 10 + 5
= 15
The total number of marbles is the sum of all the number of marbles in the bag.
(red) + green) + (yellow) + (blue)
= 10 + 3 + 7 + 5
= 25
Now substitute these values into the formula to find the probability, then simplify,
[tex]\frac{15}{25}[/tex]
Divide both the numerator and denominator by (5),
[tex]\frac{3}{5}[/tex]
I need an answer ASAP
Which of the following quadratic regression equations best fits the data
shown below?
O A. y = 4.67x2 + 4.10x + 2.87
OB. y= 2.87x2 + 2.70x + 4.07
O c. y= 2.09x2 + 1.30x + 4.61
O D. y= 3.11x2 + 1.20x+ 3.64
7+2x/3=5
what is x ?
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
7*3 + 2x = 5*3 ( we multiply by 3 to remove the denominator )
21 + 2x = 15
2x = 15 - 21
2x = -6
x = -6/2
x = -3
Answer:
X=4
Step-by-step explanation:
Times both side by 3
then you get 7+2x=15
then minus 7 from both sides
2x=8
divide by 2
x=4
Help please just write the ratio like #1 300: ?
PLEASE HELP
Find the measure of angle.
Answer:
39
Step-by-step explanation:
180-73-68
Somebody help me plzzz....
Answer:
1. 1 cm
2. 7 and 2/16 (or 1/8) inches
Step-by-step explanation:
2. The distance from each small line on a ruler is 1/16 of an inch.
Answer this please Help
Answer:
x=10.75 in
Step-by-step explanation:
A = 390 = x(3x+4)
3x²+4x-390 =0
ax²+bx+c=0
x= (-b±√b²-4ac)/2a
x= (-4±√(16+4680))/6 = (-4±2√1174)/6 = (-2±√1174)/3
We will consider only the x that gives us a positive answer because the dimensions cannot be negative.
x= (-2+√1174)/3 = 10.75456113≈ 10.75
Help&Show ur work plz<3
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The chords subtended by equal arcs are equal.
Therefore,
[tex]2x + 4 = 18[/tex][tex]2x = 14[/tex][tex]x = 7[/tex]Hence, value of x = 7
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Where would (2,-4) be on the coordinate plane?
Answer:
fourth quadrant
Step-by-step explanation:
At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5. If one ticket number is chosen randomly for a prize, what is the probability that every number on the ticket is even
Answer:
"0.0041" is the right answer.
Step-by-step explanation:
According to the question,
The total possible number of tickets will be:
= [tex]6^5[/tex]
= [tex]7776[/tex]
here,
The total even numbers are:
= [tex]2[/tex]
i.e., (2, 4)
now,
With even numbers, the total number of tickets are:
= [tex]2^5[/tex]
= [tex]32[/tex]
hence,
The probability will be:
= [tex]\frac{32}{7776}[/tex]
= [tex]0.0041[/tex]
The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.0041.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. I
At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5.
If one ticket number is chosen randomly for a prize.
Then the probability that every number on the ticket is even will be
The total possible number of tickets will be
⇒ 6⁵ = 7776
The total even numbers will be
⇒ 2 {2, 4}
With even numbers, the total number of tickets will be
⇒ 2⁵ = 32
Then the probability will be
[tex]\rm P = \dfrac{32}{7776}\\\\P= 0.0041[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Assume that the distributions for each state are normal and that all variances are equal.
Arkansas 4.8 4.9 5.0 5.4 5.4 5.4 5.6 5.6 5.6 5.9 6.0 6.1
California. 1.5 3.7 4.0 4.5 4.9 5.1 5.3 5.4 5.4 5.5 5.6 5.6
Texas. 5.6 5.8 6.6 6.9. 6.9 6.9 7.1 7.3 7.5 7.6 7.7 7.7
Answer:
Texas Texas Texas is I think right
No, the claim that the three samples are from populations with the same mean is not correct and this can be determined by using the given data.
Given :
The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level.The Hypothesis test is given below:
Null Hypothesis: [tex]H_0:\mu_1=\mu_2=\mu_3[/tex]
Alternative Hypothesis: [tex]H_a:\mu_1\neq \mu_2\neq \mu_3[/tex]
For the F-test, the test statistics is given by:
[tex]F = \dfrac{MS_{\rm{between}}}{MS_{\rm{within}}}[/tex]
Now, substitute the values of known terms in the above expression.
[tex]F = \dfrac{15.8252}{0.6896}[/tex]
[tex]F = 22.95[/tex]
So, the p-value regarding the value of F is:
[tex]P-value=P(F>22.95)[/tex]
[tex]P-value = 1.0.9999[/tex]
[tex]P-value = 0.0001[/tex]
The Null Hypothesis is rejected because P-value is less than the significance value.
For more information, refer to the link given below:
https://brainly.com/question/10758924
A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 0.7. From the sample, the mean difference was 0.95, with a standard deviation of 0.44. Calculate the test statistic, rounded to two decimal place
Answer:
The test statistic is t = 3.36.
Step-by-step explanation:
You're testing the claim that the mean difference is greater than 0.7.
At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:
[tex]H_0: \mu \leq 0.7[/tex]
At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:
[tex]H_1: \mu > 0.7[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A survey of 35 people was conducted to compare their self-reported height to their actual height.
This means that [tex]n = 35[/tex]
From the sample, the mean difference was 0.95, with a standard deviation of 0.44.
This means that [tex]X = 0.95, s = 0.44[/tex]
Calculate the test statistic
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}[/tex]
[tex]t = 3.36[/tex]
The test statistic is t = 3.36.
Find the first five terms that correspond with the following expression.
4n + 2
Answer:
6,10,14,18,22
Step-by-step explanation:
4n+2
Let n=1 4(1)+2 = 4+2 = 6
Let n=2 4(2)+2 = 8+2 = 10
Let n=3 4(3)+2 = 12+2 = 14
Let n=4 4(4)+2 = 16+2 = 18
Let n=5 4(5)+2 = 20+2 = 22
Shelia is baking a few cakes for the bake sale for her school. Each cake requires 5/6 cups of sugar. How many cakes can she bake if she has 7 1/2 cup of sugar?
The diameters of bolts produced by a certain machine are normally distributed with a mean of 1.20 inches and a standard deviation of 0.01 inches. What proportion of bolts will have a diameter greater than 1.211 inches
Answer:
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 1.20 inches and a standard deviation of 0.01 inches.
This means that [tex]\mu = 1.20, \sigma = 0.01[/tex]
What proportion of bolts will have a diameter greater than 1.211 inches?
This is 1 subtracted by the p-value of Z when X = 1.211. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.211 - 1.20}{0.01}[/tex]
[tex]Z = 1.1[/tex]
[tex]Z = 1.1[/tex] has a p-value of 0.8643.
1 - 0.8643 = 0.1357
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
solve for ,"a" in 3(a+2)/4 +3/2=0
Answer:
a=-4
Step-by-step explanation:
3(a+2)=-6
3a+6-6=-6-6
3a/3=-12/3