Answer:
99% confidence interval for the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans is [0.225 , 0.405].
Step-by-step explanation:
We are given that a marketing researcher examined sales receipts for a random sample of 178 customers who purchased jeans from the firm’s Tacoma store. 56 of the customers in the sample purchased boot-cut jeans.
Firstly, the Pivotal quantity for 99% confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of customers who purchased boot-cut jeans = [tex]\frac{56}{178}[/tex] = 0.315
n = sample of customers = 178
p = population proportion of customers who prefer boot-cut jeans
Here for constructing 99% confidence interval we have used One-sample z test for proportions.
So, 99% confidence interval for the population proportion, p is ;
P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level
of significance are -2.58 & 2.58}
P(-2.58 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 2.58) = 0.99
P( [tex]-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99
P( [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99
99% confidence interval for p = [ [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex], [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]
= [ [tex]0.315-2.58 \times {\sqrt{\frac{0.315(1-0.315)}{178} } }[/tex] , [tex]0.315+2.58 \times {\sqrt{\frac{0.315(1-0.315)}{178} } }[/tex] ]
= [0.225 , 0.405]
Therefore, 99% confidence interval for the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans is [0.225 , 0.405].
The interpretation of the above confidence interval is that we are 99% confident that the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans will lie between 0.225 and 0.405.
Which point has coordinates (5, 3)?
A. Y
B. U
C. W
D. Z
3 1/2 cups as a multiplication expression using the unit 1 cup
Answer:
4 1/2
Step-by-step explanation:
in which number is the value of 5 ten times the value of the 5 in 10.059
Answer:
it must be 0.5
Step-by-step explanation:
0.05 x 10 = 0.5
I want brainliest!!!
Answer:
12.57
Step-by-step explanation:
The 5 in the number 10.059 is placed at the hundredth place. i.e. the value of 5 in 10.059 is 0.05. Now, ten times the value of 5 = 10 × 0.05 = 0.5. Let us take 12.57. We see that 5 is placed at the tenths place and has value 10 times the value of 5 in 10.059. Hence, the number comes out to be 12.57.
What are rational number
Answer:
By splitting two entries, a logical number can be generated.
Step-by-step explanation:
By splitting two entries, a logical number can be generated.
Answer above.
Example: 0, 1, 1/2, 22/7, 12345/67
Hope this helps.
Answer:
Rational numbers are numbers that can turn into fractions.
[tex]\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0[/tex]
All whole numbers and integers are rational.
For decimals, they have to be repeating or non-terminating.
Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.
What numbers are missing from this pattern 36,2,13,21,?,?,?,?,36,2,13,21
Answer:
36,2,13,21
Step-by-step explanation:
At its simplest, it is a repeating sequence of 4 numbers:
36,2,13,21
So, those are the four missing numbers.
Suppose b is any integer. If b mod 12 = 5, then 7b mod 12
The result follows directly from properties of modular arithmetic:
[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]
That is,
[tex]b\equiv5\pmod{12}[/tex]
means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then
[tex]7b=7(12n+5)=12(7n)+35[/tex]
and taken mod 12, the first term goes away, so
[tex]7b\equiv35\pmod{12}[/tex]
etc
Evaluate the compositions indicated for the given functions. f (x) = –2x3, g(x) = x2 + 3x – 8, h(x) = 5x f (g(h(–1))) = ?
Answer:
it’s a
Step-by-step explanation:
Answer:
First answer is -16, second answer is 10
Step-by-step explanation:
Just did it on Edge
The difference between a number m and the product of m and n.
Pls help fast!
Answer:
m-mn
Step-by-step explanation:
Answer:
m-mn
Step-by-step explanation:
The product would be multiplacation.
m*n=mn
And you are subtracting that from m.
So, the answer would be m-mn.
Hope this helped.
Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther? Select from the drop-down list to complete the sentence. Explain your answer
Answer:
When you do adding and subtracting with decimals just line up the decimal points and do the math regularly
0.72
-0.7
_____
0.02 meters further so Hector's car traveled farther
0.6
+0.25
_____
0.85 swam in total
Hope this helps
Step-by-step explanation:
plzzz help me im Marshmello
So the right answer is 7.
Look at the attached picture
Hope it will help you..
good luck on your assignment
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
D
Step-by-step explanation:
Like I said last time, since the graph is moved up by 3 units, the answer is choice D. Hope this helps!
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
Answer:
D. x = -1.
Step-by-step explanation:
I have attached an explanation to your problem. Please see the attachment below.
Answer:
x= -1
Step-by-step explanation:
it is always the x value of where the vertex is!
I want brainliest plz
PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!!
Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes. His bill was $105.60 last month. How many minutes did he use?
Answer:
1102 minutes
Step-by-step explanation:
Easy way to do it: 1000 + 102 = 1102
Step by step
1: 105.60=75+0.30(x-1000)
2: 105.60 =75+0.30x−300
3: 105.60=0.30x−225
4: 1056=3x−2250
5: 1056+2250=3x
6: 3306=3x
7: x=1102
Hope this helps.
Someone please help me with my math
Answer:
1. re-arrange numbers in order.
37, 38, 43, 45, 57, 57, 58
THE MEDIAN IS 45
2. To find Mean, add up all the numbers then divide by how many numbers there are.
when added together, it is 335
335 / 7
47.857
THE MEAN IS 47.857
A student researcher measured the cadmium (Cd2+) content in a standard reference material (SRM) using graphite furnace atomic absorption spectrometry (GFAAS). With 7 replicate measurements, the researcher determined a mean Cd2 concentration of 2.899 ppb with a standard deviation of 0.001 ppb. Calculate the 99% confidence interval for this sample. Enter your answer with three significant figures.
Answer:
The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.
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 = 7 - 1 = 6
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.7074
The margin of error is:
M = T*s = 3.7074*0.001 = 0.004
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.899 - 0.004 = 2.895 ppb.
The upper end of the interval is the sample mean added to M. So it is 2.899 + 0.004 = 2.903 ppb.
The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.
Help please. Will put brainliest
Answer:
17,7501737Step-by-step explanation:
A suitable table or calculator is needed.
One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...
0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16
__
The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...
0.66799·26,000 = 1737 . . . . . below 19.76
_____
Comment on the first number
The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.
A rectangular prism has a length of 17cm, a height of 20cm, and a width of 18cm.
What is its volume, in cubic cm?
Answer:
6120 cm³
Step-by-step explanation:
You want the volume of a rectangular prism 17 cm by 20 cm by 18 cm.
VolumeThe volume of a rectangular prism is given by the formula ...
V = LWH
Using the given values for length, width, and height, we find the volume to be ...
V = (17 cm)(18 cm)(20 cm) = 6120 cm³
The volume of the prism is 6120 cubic centimeters.
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Twenty-four cards are numbered from 1 to 24 and placed in a box. One card is selected at random
and not replaced. Another card is randomly selected. What is the probability of selecting two even
numbers?
Answer:
11/46
Step-by-step explanation:
Given that there are 24 cards numbered 1 - 24
Even Cards = 2,4,6,8,10,12,14,16,18,20,22,24
Odd Cards = 1,3,5,7,9,11,13,15,17,19,21,23
We can see above that in the beginning, we have:
12 odd and 12 even cards (total of 24 cards)
If we draw the first card and it is even,
P(even number on first draw) = 12/24 = 1/2
If the card is not replaced, now we have:
12 odd cards and 11 even cards (total of 23 cards)
If we draw the 2nd card and it is even,
P(even number on second draw) = 11/23
Hence probabliliy of drawing the first even card, not replacing and then drawing another even card
= (1/2) x (11/23)
= 11/46
Answer:
11/46
Step-by-step explanation:
between 1 and 24 there are 12 even numbers.
the probability of selecting an even number the first time is 12/24 = 1/2
the probability of the second one being an even number without replacement is 11/23
the probability of both being even numbers without replacement is:
1/2 * 11/23
= 11/46
I need help ASAP please. Brainliest
Answer:
see below
Step-by-step explanation:
The two terms 9 and -10 can be combined to give -1.
The two terms 2x and -18x can be combined to give -16x.
Fully simplified, the expression would be ...
-16x +14y -1
__
Anything with different coefficients is not equivalent. Anything with only one pair of terms combined is "not fully simplified."
Need answer ASAP please!! Will give brainliest!
Solve each equation by taking square roots.
1. 6r^2=-108
2. 9p^2-8=-58
Answer:
15) A) {3i√2, -3i√2}
16) C) {5i√2/3, -5i√2/3}
Step-by-step explanation:
15)
[tex]6r^2=-108\\\\r^2=\dfrac{-108}{6}=-18\\\\r=\pm\sqrt{-18}\\\\\boxed{r=\pm3i\sqrt{2}}[/tex]
__
16)
[tex]9p^2-8=-58\\\\9p^2=-50\qquad\text{add 8}\\\\p^2=-\dfrac{50}{9}\qquad\text{divide by 9}\\\\p=\pm\sqrt{-\dfrac{50}{9}}\qquad\text{take the square root}\\\\\boxed{p=\pm\dfrac{5\sqrt{2}}{3}}[/tex]
Would you rather have a cup of ice cream that hold last a volume of 21.21 inches or a cone that has a radius of 1.5 inches and height of 3 inches?
Answer:
I will prefer the cone having volume 21.21 cubic inches.
Step-by-step explanation:
A cup of ice cream holds ice cream = 21.21 cubic inches
Since volume of a cone = Capacity of the cone to hold the ice cream
Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,
V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]
= [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]
= 7.069
≈ 7.07 cubic inches
Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x < -36
Step-by-step explanation:
Subtract 14 from both sides:
14 + x < -22
-14 - 14
___________
x < -36
What is the slope of the equation y=5/4x-7/4?
Answer:
The slope is 5/4
Step-by-step explanation:
In the equation y=mx+b, m is always the slope.
Answer: c
Step-by-step explanation:
5/4
Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an excellent credit score. How much is the interest at the end of the second month if their first month’s payment is $925.67?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$381.29
$352.95
$379.36
$300.15
Answer:
The second option ,$ 352.95 is correct
Step-by-step explanation:
The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%
total cost=$89,000+($89,000*4.2%)=$92,738
loan amount=total cost-down payment=92738
-3000=$89738
APR is 4.75% since they have an excellent credit score
interest for first month=89738
*4.75%/12=$ 355.21
Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46
principal left after first payment=$89,738
-$570.46=$89,167.54
second month interest payment= 89,167.54*4.75%/12=$ 352.95
The correct option is $ 352.95 which is the second option
Please Help ASAP Correct answer will get brainliest!!!!!
Please I am so desperate.
Answer:
27 m² (blue fabric)
9 m² (brown fabric)
Step-by-step explanation:
Area of a triangle = 1/2*base *height
Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)
Area of a square = side² = 3² = 9 m² (brown fabric)
If U = 6 feet, V = 8 feet, W = 3 feet, X = 6 feet, Y = 12 feet, and Z = 4 feet, what is the area of the object?
A. 72 square feet
B. 60 square feet
C. 78 square feet
D. 132 square feet
Answer:
idk
Step-by-step explanation:
Is a quadrilateral a trapezoid? (True or False)
PLEASE HELP QUICKLY THANK YOU
Answer:
False
Step-by-step explanation:
All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.
Answer:
A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.
Step-by-step explanation:
How do you find the domain of functions, I’d just like someone to explain it, that’s where I get lost, 30 points btw
Explanation:
The domain is the horizontal extent of the graph of the function. It is the set of all values of the independent variable for which the function is defined.
In a table or list of (x, y) or (x, f(x)) values the domain is the list of x-values.
On a graph, the domain is the horizontal extent of the graph, excluding any "holes" or vertical asymptotes. (The function is "undefined" at those places.)
__
For a polynomial, the domain is generally "all real numbers."
For rational functions, the domain always excludes any x-values that make any denominator be zero.
For functions such as logarithms or roots, the domain is the set of values for which the function is defined. Even roots (square root, 4th root, ...) are only defined for non-negative numbers. Logarithms are only defined for positive numbers.
__
In some problems, a model is often used that is defined for all values of the independent variable. For example, a height function may be modeled using a quadratic: h(t) = -4.9t^2 +30t +6. This is defined for all values of t, but the "practical domain" is the set of values of t ≥ 0 and before h(t) = 0. That is, we don't care about negative time or negative height.
The equation y = 15x represents the total number of pages read in x days.
Use the equation to complete the table.
a =
b =
c =
d =
Answer:A= 75
B-150
C-225
D-300
Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.
Answer:
order from top to bottom 75 150 225 300
Step-by-step explanation: