Answer:
7
Step-by-step explanation:
xy + (z-x)
x = 3
y = 2
z = 4
3×2 + (4-3)
6+1
= 7
A National Retail Foundation survey found households intend to spend an average of $469 during the December holiday season. Assume that the survey included 600 households and that the sample variance was $375. Calculate the margin of error for a 99% confidence interval.
Answer:
The margin of error for a 99% confidence interval. is of $2.25.
Step-by-step explanation:
We have the sample's variance, 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 = 600 - 1 = 599
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 600 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.84.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample(square root of the variance) and n is the size of the sample.
In this question:
[tex]s = \sqrt{375}, n = 600[/tex]. So, the margin of error is of:
[tex]M = 2.84\frac{\sqrt{375}}{\sqrt{600}} = 2.25[/tex]
The margin of error for a 99% confidence interval. is of $2.25.
A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square inches. What is the volume of the speaker in cubic inches? A. 22 in B. 198 in C. 66 in D. 33 in
Answer:
22 cubic inches
Step-by-step explanation:
V = 1/3 * Area of Base * height
Area of Base is given as 11 inches
height is given as 6 inches
V = 1/3 * 11 * 6
V = 66/3
V = 22
Answer.
A.22
Step-by-step explanation:
у = 2х +7
y = x+8
using substitution
Answer:
(1, 9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define Systems
y = 2x + 7
y = x + 8
Step 2: Solve for x
Substitution
Substitute in y: 2x + 7 = x + 8Subtract x on both sides: x + 7 = 8Subtract 7 on both sides: x = 1Step 3: Solve for y
Define equation: y = x + 8Substitute in x: y = 1 + 8Add: y = 9Answer:
x = 1
y = 9
Step-by-step explanation:
y = 2x + 7 --------------------(I)
y = x + 8 ----------------------(II)
Substitute y = 2x + 7 in equation (I)
2x + 7 = x + 8 {Subtract 'x' from both sides}
2x + 7 - x = 8 {Combine like terms}
x + 7 = 8 {Subtract 7 from both sides}
x = 8 -7
x = 1
Substitute x = 1 in equation (I)
y = 2*1 + 7
= 2 + 7
y = 9
b. 40 is 160% of what number?
Answer:
25
Step-by-step explanation:
the question basically translates to
160% x n =40
a little trick with percents I use is that the word "of" always means multiplication.
n=40/160%=25
The triangle DEF is shown in the diagram.
Find the exact value of x.
Answer:
x = 4
Step-by-step explanation:
Using cosine triangle formula, we know that;
c² = a² + b² - 2ac(cos C)
From our diagram;
a = 2x
b = x + 1
c = 7
C = 60°
Thus;
7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60
49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)
49 = 5x² + 2x + 1 - 2x² - 2x
3x² + 1 - 49 = 0
3x² - 48 = 0
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
the perimeter of a rectangular field is 374 yards. if the width of the field is 88 yards, what is its length
Answer:
99 yards
Step-by-step explanation:
374 - 88 = 286
286 - 88 = 198
198/2 = 99
length = 99
The required length of the given rectangular field is 99 yards.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
Given that,
the perimeter of rectangular field is 374 yards.
And its width is 88 yards.
Suppose the length is x yards.
Since the perimeter of a rectangle is given as P= 2(l + b), where l is the length and b is the width .
Substitute the respective values to get,
374 = 2(88 + x)
=> 2x = 374 - 176
=> 2x = 198
=> x = 99
Hence, the length of the rectangular field is given as 99 yards.
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Find the value of x so that the function has the given value.
h(x)=−7x+10; h(x)=3
Answer:
h = 3 x = 1
Step-by-step explanation:
A sign in front of a roller coaster says you must be 40 inches tall to ride what percentage of this height is 34 inches
Answer:
85% of 40
Step-by-step explanation:
We can do this in two ways, we can either use percent proportions or use benchmark percentages. I'll do both.
So the equation for percent proportions will look something like this:
34/x = 40/100
So to solve this, we do 34*100/40, which is 3400/40 which equals 85. That means that 34 is 85% of 40 inches.
Another way to do this is to use benchmark percents:
10% of 40 is 4 and, so you do 40-4 and get 36. Then we need to get 2 more down so we do 5% of 40 which is 2, so we do 36-2 or 40-6.
Then we add up the percents which would add up to 15%, we do 100-15 and get 85%
Or we could just say, well 6 is 15% of 40 so we do 100-15 and 40-6 and get that 34 = 85% of 40
Let me know if you have any questions
Let me know if you have any questions
PLEASE ANSWER ASAP!!! Which of the following is a polynomial? Choose all answers that are correct.
A. −4x√−2x
B. 5x2 – x–1 + 2
C. –0.4a3 – 5b
D. 4ab2 – 2b + 1
Say that the economy is in a recession, causing vehicle prices to drop by eight percent. If your car was previously worth $25,295, what is it worth now, to the nearest dollar? a. $23,851 b. $23,421 c. $23,271 d. $22,133
Answer:
c.
$23,271
Step-by-step explanation:
i took the same test on edg
The worth of the car will be $23,271 in the nearest dollar.
What is a recession in an economy?
A recession is defined as a severe fall in economic activity that lasts more than a few episodes of time and is reflected in real GDP, income, employment, economic growth.
So if an economy is in a recession and vehicle prices drop by eight percent.
Then, we have:
= $25,295 × 8%
[tex]\mathbf{= 25295 \times \dfrac{8}{100}}[/tex]
= $2023.6
The price of a car that was previously worth 25,295 will be:
= $25295 - $2023.6
= $23271
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Which of the following best defines an output? (4 points)
a
An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
b
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
c
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
d
An output is a set of ordered pairs in which no y-value repeats.
Answer:
B is the best definition of outputStep-by-step explanation:
a . An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
Incorrect. Output is defined by input.b . An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
Correctc . An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
Incorrect. Output is the result of relation but not pairing rule.d . An output is a set of ordered pairs in which no y-value repeats.
Incorrect. y-values can repeat.In a survey, respondents were asked which type of activity they enjoyed most while on vacation. The bar graph shows the responses
of males and females.
How many more males than females said that bike riding was their favorite activity?
Answer:
C. 1
Step-by-step explanation:
From the chart given, it shows that the number of makes that chose bike riding as their favorite activity are 10.
Females who chose bike riding activity are 9.
The difference between number of makes and number of makes and females who chose bike riding = 10 - 9 = 1
Therefore, this means that 1 more male than the female chose bike riding.
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down. (Negative 4, Negative 2 and one-half) (Negative 4, 2 and one-half) (4, negative 2 and one-half) (4, 2 and one-half)
Answer:
(4, -2 1/2)
Step-by-step explanation:
The 4 is positive because it goes to the right on the x axis, and the 2 1/2 is negative because it goes down on the y axis.
Answer:
(4, -2 1/2)
Step-by-step explanation:
i did edge test
Which expressions are equivalent to this exponential expression? pls help
Answer: 1/66
Step-by-step explanation:
Express 4837% as a decimal.
Answer:
48.37
Step-by-step explanation:
48.37
Answer:
48.37
Step-by-step explanation:
A trough is an open container that is used to hold food or water for animals. The figure below shows a water trough.
1 4. How much ground is covered by the trough?
15. How much metal is needed to make the trough?
16. How much water can the trough hold?
Answer:
1 4 Our soil calculator can be used to help you determine how much soil all of your containers will need. Whether you are growing in raised beds, 5 gallon buckets
Step-by-step explanation:
QUICK
Check
Match each equation to the property it illustrates.
commutative property
8 x 4 = 4 x 8
identity property of addition
(2 + 6) + 3 = 2 + (6 + 3)
associative property
2(3 + 7) = (2)(3) + (2)(7)
distributive property
9 + 0 = 9
identity property of multiplication
(16)(1) = 16
The matching is done is below.
Commutative property → 8 × 4 = 4 × 8Identity property of addition → 9 + 0 = 9Associative property → (2 + 6) + 3 = 2 + (6 + 3)Distributive property → 2(3 + 7) = (2)(3) + (2)(7)Identity property of multiplication → (16)(1) = 16What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Match each equation to the property it illustrates.
Commutative property → 8 × 4 = 4 × 8
Identity property of addition → 9 + 0 = 9
Associative property → (2 + 6) + 3 = 2 + (6 + 3)
Distributive property → 2(3 + 7) = (2)(3) + (2)(7)
Identity property of multiplication → (16)(1) = 16
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Identify the set of numbers that best describes the situation.
The number of miles Sarah walked today.
-Rational
-Natural
-Integers
-Irrational
Answer:
natural
Step-by-step explanation:
( 0123456789------------------------)
find the measure of each angle indicated.
Answer:
15 number answer is 35
16 number answer is 46
17 number answer is 40
The value of 0.01 gram is equivalent to which of the following?
1 centigram
1 kilogram
1 milligram
1 hectogram
Carlos biked 24 mi and ran 6 mi.
What is the ratio of the distance Carlos ran to the distance he biked?A ratio compares two values using which operation?
Answer:
4:1
Step-by-step explanation:
simplify the 24:6 by dividing both sides by 6
A group of friends were working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props?
Answer:
They spent 112 dollars on props.
The required total 16% spend on the props is $112.
Given that,
A group of friends was working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
A group of friends was working on a student film that had a budget of $700.
Budget = $700
They used 16% of their budget on props.
Total spend on the props = 700 * 16 / 100
= $ 112
Thus, the required total 16% spend on the props is $112.
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I will give brainlist need answer thx! with work
Answer:
490
Step-by-step explanation:
200 + 100 = 300
50 + 50 = 100
300 + 100 = 400
400 + 90 = 490
In the given figure, ST is a midsegment. If △PQR needs to be a right triangle, what must the length of PQ be?
Answer:
i answered but it got deleted its 12
Step-by-step explanation:
Solve 18 > 12 + 2. Graph the solution.
Answer:
Step-by-step explanation:
7
2
Decimal Form:
3.5
Mixed Number Form:
3
12
doar de la 1 pana la 9
Frank rolls a fair dice and flips a fair coin.
What is the probability of obtaining a prime number and a head?
Answer:
Prime number - 3/6 = 1/2
Head - 1/2
Step-by-step explanation:
prime numbers are 2, 3 and 5 on a die
The value of a rare babe ruth baseball card can be represented by the function below. By what percent does the value of the card increase?
Answer:
2 dollar
Step-by-step explanation:
. Five balls are placed at random in five buckets. What is the probability that each bucket has a ball
Answer:
%0.00032
Step-by-step explanation:
.2x.2x.2x.2x.2x
Where do the graphs of the linear equation y=2x+5 and y=-2x-3 intersect?