Answer:
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 64 - 1 = 63
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.387
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters
The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Find the equation of the line thank you
Answer:
y=3/4x-2
Step-by-step explanation:
Answer:
y=3/4x-2
Step-by-step explanation:
y-intercept: -2
slope: 3/4
Solve:
(Vx + 2)(Vx - 2) = 0
X=
Answer:
x = 4
Step-by-step explanation:
Given:
(√x + 2)(√x - 2) = 0
Required:
Find x
SOLUTION:
√x(√x - 2) + 2(√x - 2) = 0 (distributive property)
x - 2√x + 2√x - 4 = 0
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4
a cube has a lateral surface area of 64sq m find the total surface area of the cube
Answer:
384 square meters.
Step-by-step explanation:
Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:
A x 6 = X
64 x 6 = X
384 = X
Thus, the area of the cube is 384 square meters.
Solve w=3/7(ay+m) for y
Answer:gd
Step-by-step explanation:
Vygfy
Answer:
y = (7w - 3m) / 3a
Step-by-step explanation:
w = 3/7ay + 3/7m
multiply each side by 7 to eliminate fractions
7w = 3ay + 3m
3ay = 7w - 3m
y = (7w - 3m) / 3a
what why did you say you had $80.50 and you add that up
Answer:
im not sure i understand the question
Step-by-step explanation:
80.50 plus........plus what?
i am confusion
I have attached the question :)
Answer:
The first one
Step-by-step explanation:
the X values are all diffrent
An experiment on the teaching of reading compares two methods, A and B. The response variable is the Degree of Reading Power (DRP) score. The experimenter uses Method A in a class of 100 students and Method B in a comparable class of 100 students. Students are assigned to the two classes at random. Suppose that in the population of all children of this age the DRP score has the N(75, 30) distribution if Method A is used and the N(74, 40) distribution if Method B is used. Let us call the mean DRP score for 100 students in the A group. Let us call the mean DRP score for 100 students in the B group ý.
Required:
What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?
Answer:
0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.
Method A:
One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]
Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]
Method B:
One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]
Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]
What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?
This is the probability that B - A >= 5. So
[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]
[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]
We have to find 1 subtracted by the pvalue of Z when X = 5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - (-1)}{0.5}[/tex]
[tex]Z = 12[/tex]
[tex]Z = 12[/tex] has a pvalue of 1
1 - 1 = 0, so
0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group
Need help finding angle A,B,C,D!!
Need help asap! Solve question b.
Answer:
D.
Step-by-step explanation:
This is the only one that sounds correct
Answer:
i cant read it oh i zoomed in B
Step-by-step explanation:
SOMEONE PLSS HELP NEED ASAP
Answer:
c
Step-by-step explanation:
if the sides are in proportion set the proportions
6.21/ 5.4 = x/2.6; cross multiply
5.4*x = 6.21 *2.6; divide by 5.4
x= 2.99
rewrite 4.4.6.4.4.6 using exponents
Answer:
[tex]4^{4}[/tex]×[tex]6^{2}[/tex]
Step-by-step explanation:
There is 2 of the same number 6 and there is 4 of the number 4
I hope this helps
Nature's Squeeze is a drink stand known for its fresh-squeezed juices. Colin just got his first job working there! During his training, he made 4 drinks in 12 minutes. Today is Colin's first shift, and he will work for 90 minutes.
If Colin makes drinks at the same rate, how many drinks will he make today?
Answer: 30 drinks
Step-by-step explanation:
From the question, we are informed that Colin made 4 drinks in 12 minutes during his training. This shows that a drink is made in (12/4) = 3 minutes.
Since he will work for 90 minutes, the number of drinks that he will make will be:
= 90/3
= 30 drinks
Jogging at a pace of 150 seconds per quarter mile, how long would it take to run 3miles, in minutes?
Answer:
2400
Step-by-step explanation:
150 times 4 = 600 times 4 = 2400
Answer:
30 minutes
Step-by-step explanation:
150 sec. x 4 = 600 sec.
600 sec. per mile
600 sec. x 3 = 1800 sec.
1800 sec. / 60 sec. = 30 min.
Determine a set of 3 numbers that are divisible by
6 and 5
Answer:
30
60
90
120
180
210
240
hope it helped have a good day mate
The circumference of a circle is 7xm.
What is the area of the circle?
A. 3.57x m²
B. 12.257x m2
C. 147xm2
D. 497xm2
Answer:
A = 3.57 m²
Step-by-step explanation:
Given that,
The circumference of a circle is 7xm.
The expression for the circumference of a circle is given by :
[tex]C=2\pi r[/tex]
r is the radius of the circle
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{7}{2\times \dfrac{22}{7}}\\\\r=1.11\ m[/tex]
The area of a circle is given by :
[tex]A=\pi r^2\\\\A=3.14\times (1.11)^2\\\\A=3.89\ m^2[/tex]
Out of given option,
A = 3.57 m²
So, the area of the circle is 3.57 m².
Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3
Answer:
C. 5 divided by 2/3
D. 15/2
E. 3/2 X 5
hope this helps
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH QUESTIONS 2 AND 3 !!!!!!
Percents can be expressed as fractions and decimals. A percent means “out of 100,” so we can express 40% as the fraction 40⁄100. We can simplify this fraction to2⁄5 by dividing by the greatest common factor, 20.
We can also express a percent as a decimal. Percents show a part out of a hundred, or hundredths, so you can divide the percent by 100 to find the decimal. 40 divided by 100 equals 40 hundredths, or .4. You can also divide the numerator by the denominator in the simplified fraction, 2⁄5, to find the equivalent decimal.
These values are all equivalent.
75% =
A
75/10
B
2/3
C
3/4
D
3/5
Answer:
Definitely 3/4!
Step-by-step explanation:
Option A = 7.5
Option B = 66.6%
Option C = 75% (because 25 times 4 is equal to 100%, so 25 times 3 would be 75)
Option D = 6/10 or 60%
The values that are equivalent to 75% are A) 75/100 (0.75) and C) 3/4.
To determine whether these values are equivalent, let's evaluate each expression and compare the results.
A) 75% can be written as a decimal by dividing 75 by 100:
75% = 75/100 = 0.75
B) 2/3 is already in fractional form and cannot be simplified further.
C) 3/4 is also in fractional form and cannot be simplified further.
D) 3/5 is in fractional form and cannot be simplified further.
Now let's compare the decimal equivalents:
0.75 = 75/100
2/3 = 0.666...
3/4 = 0.75
3/5 = 0.6
Comparing the decimal values, we can see that A) 0.75 and C) 0.75 are equivalent, as they both represent 75% in decimal form.
However, B) 2/3 and D) 3/5 do not equal 0.75 and are therefore not equivalent to 75%.
Hence, the values that are equivalent to 75% are A) 75/100 (0.75) and C) 3/4.
Learn more about Percents click;
https://brainly.com/question/31323953
#SPJ6
whats the answer to -6 = 3/2z
Answer:
Step-by-step explanation:
-6=3/2z
-12z=3
z=-4
solve for x. 8×-3=5(2×+1)
Answer:
x = -4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 10x + 5
8x - 10x = 5 + 3
-2x = 8
x = 8/-2
x = -4
Find the missing value.
K
N
75°
L
M
Answer:
N
Step-by-step explanation:
Yeah cos it's like n ya know ueuehd
My new speaker costs $154.00, but I also had to
pay 61 tax. How much did I pay in total for my speakers
Answer:
$247.94
Step-by-step explanation:
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If a single person earns 33,200 what would his taxes be to the nearest dollar
Answer: The answer is,
$5,110
Option (B)
The tax of a single person that earns $33,200 is $5110
The earnings (E) is given as:
[tex]E = \$33,200[/tex]
From the tax table, the equation to calculate the tax of a single person within the income range $28400 to $68,799.99 is:
[tex]Tax =0.25E - 3190[/tex]
So, we have:
[tex]Tax =0.25 \times 33200 - 3190[/tex]
[tex]Tax =8300 - 3190[/tex]
Evaluate the like terms
[tex]Tax =5110[/tex]
Hence, the tax of a single person that earns $33,200 is $5110
Read more about income tax at:
https://brainly.com/question/1775528
Alexia drank 2/3 L of water Monday before going jogging she drank 3/8 L of water after her dog how much did Alexis a drink all together right answer as a mixed number
Answer:
5/11
Step-by-step explanation:
&add up the decimals I think
What is the smallest whole number to the right of 3.52?
I NEED help Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
Answer:
a, d, f
Step-by-step explanation:
Answer:
A d and f
Step-by-step explanation:
I just did it
help me please. Can somebody please help me.
Answer:
oh my :o
Ok so just mutiply
Step-by-step explanation:
The Commutative Property states that the order of terms in an expression does not affect the outcome. Which of the following operations does the Commutative Property apply? select all that apply
A. addition
B. subtraction
C. multiplication
D. division
find the slope of the line. (1,1) ,( 3,5)
Answer:
m=2
Step-by-step explanation:
5-1/3-1
4/3-1
4/2
2
I hope this helps
You buy rice at $0.71 a pound. One batch of fried rice requires 9 pounds of rice. How much does the rice for one batch cost? Round to the nearest cent.
Answer:
$6.39
Step-by-step explanation:
b= batch
1b=$0.71
9b=?
9b=9($0.71)
9b=$6.39
