Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
What is the mean and the standard error of the distribution of differences?For each sample, the mean and the standard error are given by:
[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]
[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]
[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
In which z is the critical value.
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Then, the bounds of the interval are given as follows:
[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]
[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]
The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
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Distribute – 2x (-1 + 3x).
Answer:
4x
Step-by-step explanation:
2x(-1+3)
distributive property: -2x+6x
-2x+6x=4x
Use the polling tool to respond to the question below.
Gina typed 2,700 words. She types 45 words per minute. How long did she type for?
HELP PLZZ
Answer:
She typed for 60 minutes (1 hour).
Step-by-step explanation:
Do 2,700 divided by 45 to get your answer.
2,700 ÷ 45 = 60
She typed for 60 minutes (1 hour).
A dilation maps AB onto A'B'. If the coordinates of the
endpoints are
A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
what is the scale factor?
Answer:
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
[tex]A = (4,2)[/tex]
[tex]A' = (10,5)[/tex]
[tex]B = (10,6)[/tex]
[tex]B' = (25,15)[/tex]
Required
Determine the scale factor (k)
Scale factor is calculated using:
[tex]Old * k = New[/tex]
In this case, we have:
[tex]AB* k = A'B'[/tex]
Make k the subject
[tex]k = \frac{A'B'}{AB}[/tex]
Using point A and A'
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(10,5)}{(4,2)}[/tex]
Factorize the numerator
[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*1[/tex]
[tex]k = 2.5[/tex]
Cheese Or Pickles? WILL GIVE BRAINLIEST
Answer:
Pickles. My friends are allergic to cheese.
Graham recruited student volunteers to participate in his dissertation study. He set up several times for students to come to a specified classroom and read various types of instructional materials and to be tested. He ran all of his control conditions first and then for each session he placed all students at the session in the same treatment condition. This is problematic because those who volunteered early are likely different than those who volunteered later. This problem is primarily due to 1. response bias. 2. instrumentation bias. 3. researcher bias. 4. sampling bias.
Answer:
Sampling bias
Step-by-step explanation:
Bias refers a prominent problem in statistical analysis whereby one or more analytical factor are favored than the other during an analysis which should be made random. The problem. With Graham's dissertation study is the fact that he failed to randomlyvplace his subjects or observation in the study groups, favoring a particular group with non random subset. When randomization is ejected or missing from an analysis or study, it becomes less and less representative. Here, allotting early Arrivals Into the treatment group has introduced a sampling bias as those who came later, this will also leads to less reproducibility of experiment.
Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. Where on the number line can this rabbit be now?
Answer:
8
Step-by-step explanation:
Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.
Answer:
Step-by-step explanation:
Oo.24
A statue of George Washington is also in Druids a 15 m away from the statue and places a mirror 12 m from the statue (3 m from her feet)she can see the top of the statue in the mirror. The girl's height is How tall is the statue(draw a diagram and solve)
Answer:

Let 'x' represent the height of the statue.
1 ft = 0.3048 m
5.5 ft = 5.5*0.3048 m
Using the similar triangles we can write:
x : 3 = 12 : (5.5*0.3048)
x = 21.47 m
The statue is 21.47 meters tall
One number is one more than a second number. Five times the first is 6 less than 4 times the
second. Find the numbers.
9514 1404 393
Answer:
the numbers are -10 and -11
Step-by-step explanation:
Let x represent the second number. Then the first number is x+1, and the relation can be written ...
5(x+1) = 4x -6
x = -11 . . . . . . . . subtract 4x+5
The first number is -10; the second number -11.
Given that, 1 Chinese yuan = £0.11, convert £460 into Chinese yuan. Give your answer to the nearest yuan.
will mark you as brainiest
Answer:
i so want to know this aswell
Step-by-step explanation:
Answer:
4182
Step-by-step explanation:
I gotten this question so I decided to find the answer but I still got it wrong and it said the answer was 4182
Drag the cards to create a number that matches these rules. • The number ends in the tenths place. 50 is the nearest ten when rounding 3. 8 4
You are painting a room that is 16 feet long, 10 feet wide, and 8 feet high. On the walls of the room, there are two windows that are each 2 feet wide and 5 feet tall, and a door that is 4 feet wide and 7 feet tall. A gallon of paint covers 350 square feet. How many gallons of paint do you need to cover the 4 walls with one coat of paint, not including the windows and the door
You will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.
Given that,
Room dimensions:
Length: 16 feet
Width: 10 feet
Height: 8 feet
Features on the walls:
Two windows:
Width: 2 feet
Height: 5 feet
One door:
Width: 4 feet
Height: 7 feet
Paint coverage:
1 gallon of paint covers 350 square feet
Calculate the area of the walls first:
Subtract the area of the windows and door area from the total wall area.
The total wall area is the sum of the areas of all four walls.
The area of each wall is calculated by multiplying the height of the room by its length.
So, the area of each wall = 8 feet (height) x16 feet (length)
The area of each wall = 128 square feet.
Calculate the area of the windows and the door.
The area of each window is calculated by multiplying its width by its height.
So, the area of each window = 2 feet (width) x 5 feet (height)
The area of each window = 10 square feet.
The area of the door is calculated by multiplying its width by its height. So,
The area of the door = 4 feet (width) x 7 feet (height)
The area of the door = 28 square feet.
Now, subtract the total area of the windows and the door from the total wall area.
Total wall area = 4 walls x 128 square feet
Total wall area = 512 square feet
The total area of the windows = 2 windows x 10 square feet
The total area of the windows = 20 square feet
The total area of the door = 1 door x 28 square feet
The total area of the door = 28 square feet
Area to be painted = Total wall area - Total area of the windows - Total area of the door
Area to be painted = 512 square feet - 20 square feet - 28 square feet
Area to be painted = 464 square feet.
Now, we can determine the number of gallons of paint needed.
Since 1 gallon of paint covers 350 square feet,
Divide the area to be painted by 350.
The number of gallons of paint needed = Area to be painted / Coverage per gallon
The number of gallons of paint needed = 464 square feet / 350 square feet/gallon
The number of gallons of paint needed ≈ 1.33 gallons.
Hence, you will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.
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Look at the street map. What street is parallel to Red Road? A. Union Street B. Green Street C. Blue Street D. Polk Street
i have 3 mins PLZ HELLPPPP
I'm pretty sure it would be
B) Green Street
Since Red Road appears to be vertical.
turn 12/5 into a mixed fraction
Answer:
2 2/5
Step-by-step explanation:
I hope this helps
Set up the division problem in long division format.
5/12
just divide this you should get your answer.
The ratio of tomatoes to pepper plants in the garden is 5:2. If there are 6 more tomato plants than pepper plants, how many pepper plants are in the garden?
The ratio from tomatoes to pepper plants is 5:2
Meaning there are 5 tomatoes and 2 pepper plants
In order to find a ratio where there are 6 more tomatoes than pepper plants you will have to multiply.
-----
When the ratio 5:2 is multiplied by 2
it equals 10:4
We can stop here because it is shown that now there are 6 more tomatoes than pepper plants.
-----
So there are:
10 tomatoes
and
4 pepper plants!
HELP ME PLZ!!!! A bakery sold 48 chocolate cupcakes in a day, which was 12% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
A set of financial statements with a budgeted amount are created using the percentage-of-sales approach. The predicted sales level for the budget period is calculated by converting each historical cost into a percentage of net sales.
It is given that,
Total number of chocolate cupcakes sold = 48
Let the x be the cupcakes that will be sold by the bakery on that day
According to the given condition, 12% of the total number of cupcakes is 48.
⇒12% of x = 48
⇒(12/100) × x =48
⇒x=(48×100)/12
⇒x=400
Thus, 400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
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The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.
Answer:
45%
Step-by-step explanation:
40 * .45 = 18
40-18 = 22
The percentage decrease of an item would be 45%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We can determine the value of the percentage decrease by the following formula,
percentage decrease = (initial value - reduced value) / initial value × 100%
As per the given question, we have
initial value = $40, and reduced value = $22
Substitute the values in the above formula, and we get
percentage decrease = (40 - 22) / 40 × 100%
percentage decrease = (18) / 40 × 100%
percentage decrease = 0.45 × 100%
Apply the multiplication operation, and we get
percentage decrease = 45%
Thus, the percentage decrease of an item would be 45%.
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The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers?
Answer:
Step-by-step explanation:
x, 30 - x add to 30. The other condition says
x (30 - x) = 176. Multiply it out.
30x - x^2 = 176, so
x^2 - 30x = -176, complete square by adding 15^2 to both sides
(x - 15)^2 = 225 - 176 = 49, take square root
x - 15 = 7, so one number is:
x = 22 and the other is 30 - x = 8.
Children’s pony ride at a zoo please help I mark brainliest
Answer:
78.5 feet OR (25 x pi) feet
Step-by-step explanation:
You need to find the circumference.
C = 25 x 3.14
C = 78.5 feet
OR
C = 25 x pi
Hope that helps!
13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!
Answer:
I think its 144!!!!!!!!!!!!!!!!!!
Answer:
Diagram 2 (Bottom diagram)
Step-by-step explanation:
The ratio is twice as many (2)
2:1
How much of a pizza does each person get if you divide half a pizza among three people?
please help me am I. troubles
Answer:
[tex] \frac{ {x}^{2} }{y(x - y)} + \frac{ {y}^{2} }{ - x(x - y)} [/tex]
[tex] \frac{ {x}^{2} }{y(x - y)} - \frac{ {y}^{2} }{x(x - y)} [/tex]
[tex] \frac{ {x}^{2} \times x - {y}^{2} \times y}{xy(x -y)} [/tex]
[tex] \frac{(x - y)( {x}^{2} + xy + {y}^{2}) }{xy(x - y)} [/tex]
[tex] \frac{ {x}^{2} + xy + {y}^{2} }{xy} [/tex]
1. Write an equation of a function with each domain:
a. [2,)
b. (-0, 0)
C. (2, 0 )
Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.
Answer:
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
Step-by-step explanation:
The weights should be within 0.5% of the actual weight measured.
15.0 pounds
0.005*15 = 0.075
Tolerance of 0.075 pounds
15 - 0.075 = 14.925 pounds
15 + 0.075 = 15.075 pounds
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
63 over 22 as a decimal
Answer:
Step-by-step explanation:
63/22 = 2.86363 = 2.86
What is the derivative of sech u with respect to x?
Answer:
[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
This is a known derivative (apply trigonometric differentiation).
Step 1: Define
Identify
[tex]\displaystyle y = sech(u)[/tex]
Step 2: Differentiate
Hyperbolic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = -u'sech(u)tanh(u)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
7-1 Mathematical Literacy and Vocabulary Dilations
The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right.
Problem Graphing a Dilation.
What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.
Read the problem. What do you need to find to solve the problem?
Answer: Coordinates of the vertices of the vertices of the given imagen.
The price of a computer is reduced by 17.5%. The reduced price is £264 by how much is the price reduced
Answer:
Step-by-step explanation:
100%-17.5%= 82.5%
82.5% (divide) 82.5%= 1%
so (1% of the orginal price)=
£264 (divide) 82.5%= £320= original price
The price of the computer is reduced by £56 which is 17.5% of £320.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The price of a computer is reduced by 17.5% and the reduced price is £264.
Let the original price be '£x'.
So, (100 - 17.5)% = 82.5% of '£x' is £264.
∴ (82.5/100)×x = 264.
0.825x = 264.
x = 264/0.825.
x = £320.
So, The price reduced is (320 - 264) = £56.
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Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?
Answer:
Step-by-step explanation:
1.40x = 180.49
x= $128.92
What is the multiplicative inverse of the number 5?
Answer:
1/5
Step-by-step explanation: