Answer:
The mean of C is 170 households
The standard deviation of C, is approximately 5 households
Step-by-step explanation:
The given parameters are;
The percentage of households in the United States that had a computer in 2014 = 85%
The size of the randomly selected sample in 2014, n = 200
The random variable representing the number of households that had a computer = C
Therefore, we have;
The probability of a household having a computer P = 85/100 = 0.85
Let
Therefore;
The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;
μₓ = 200 × 0.85 = 170
The mean of C = μₓ = 170
The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5
Therefore;
The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05
The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)
The mean and the standard deviation of C are 170 and 5.05 respectively
The given parameters are:
[tex]\mathbf{n = 200}[/tex] -- the sample size
[tex]\mathbf{p = 85\%}[/tex] -- the proportion of household that had a computer
(a) The mean
This is calculated as:
[tex]\mathbf{\bar x = np}[/tex]
So, we have:
[tex]\mathbf{\bar x = 200 \times 85\%}[/tex]
[tex]\mathbf{\bar x = 170}[/tex]
(b) The standard deviation
This is calculated as:
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{170 \times (1 - 85\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{170 \times 15\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{25.5}}[/tex]
Take square roots
[tex]\mathbf{\sigma = 5.05}[/tex]
Hence, the mean and the standard deviation of C are 170 and 5.05 respectively
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zero is an integer?
Answer:
yes it is because 0-4 is an integer
Step-by-step explanation:
Answer:
yes, it is also a whole number.
Step-by-step explanation:
Hope this helps and have a good day! :)
The drama club spent $8.50 per person on food for a cast party. The total cost of the food was $229.50. How many people were at the cast party?
A. 27 people
B. 221 people
C. 238 people
D. 1,951 people
Answer:
27
Step-by-step explanation:
btw just goo. gle the first 5 words with " at each end and it gives you the answer :)
not guaranteed, some dont have
Let g be a polynomial function of x where g(x) = 2x^3+ 3x^2-5x-6 . If (x+2) is a factor of g, write an equation for g as the product of linear factors
Answer:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Step-by-step explanation:
Given polynomial [tex]g[/tex]:
[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]
A factor of polynomial is [tex](x+2)[/tex].
To find:
Equation of the polynomial as the product of linear factors.
Solution:
First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.
As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.
That quadratic will have 2 solutions.
Solving the quadratic in linear will give us the answer.
Result of division:
[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]
Now, solving the quadratic:
[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]
So, the linear equation can be written as:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Kyle missed 3 questions on the math exam. If he missed 15% of the questions, how many questions were on the exam all together?
Step-by-step explanation:
consider the number of Q = X
then 15% × X = 3
then (15 ÷100) X = 3
X = 3 × ( 100÷ 15 ) = 20 Q ( :
Which property is used in the following expression ? 8(2 + 7) = 16 + 56
Answer:
Distributive property
Step-by-step explanation:
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 28 seconds to complete the check-out process. If it takes 48 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased?If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 80 seconds to complete a transaction, how many products are being purchased? If it takes 48 seconds to complete a transaction, how many products are being purchased?
Answer:
a) 4 products
b) 10 products
Step-by-step explanation:
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 28 seconds to complete the check-out process.
For 1 product, the total time =
5 seconds + 28 seconds = 33 second.
We can derive an equation
Total time of transaction = 5x + 28
Where x is the number of products you are selecting
a) If it takes 48 seconds to complete a transaction, how many products are being purchased?
Total time = 5x + 28
48s = 5x + 28
5x = 48 - 28
5x = 20
x = 20/5
x = 4 items
b) If it takes 80 seconds to complete a transaction, how many products are being purchased?
Total time = 5x + 28
80s = 5x + 28
5x = 80 - 28
5x = 52
x = 52/5
x = 10 items
In whole number = 10 items
The last time Aiden played baseball, he hit the ball 35% of the times he was at bat. Based on this information, how many times will Aiden hit the ball the next time he plays baseball if he is at bat 20 times?
Answer:
the number of times will Aiden hit the ball is 7
Step-by-step explanation:
The computation of the number of times will Aiden hit the ball is shown below:
She hit 35% of the times
i.e.
= Given percentage of number of times
= 35% of 20
= 35 ÷ 100 × 20
= 0.35 × 20
= 7
Hence, the number of times will Aiden hit the ball is 7
We simply applied the above formula so that the correct value could come
The same is to be considered
What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.
Well.
Step-by-step explanation:
For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.
Step-by-step explanation:
You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah
What is the slope of y = 4x? *
Please Brainliest me!
The slope of y=4x is 0,4 PLEASE BRAIN ME!
When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.
Answer:
Ok, the domain is the set of values that we can input in a function.
In this case, we have:
y = Ix - 6I + 3.
Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.
The correct domain is x, x ∈ R
Now, if we had (for example) something like:
y = Ix - 6I < 3
Now we have a restriction in the domain because we can not have y equal or larger than 3.
To find the domain, we can break the absolute value:
Ix - 6I < 3
is equivalent to:
-3 < x - 6 < 3
now let's add 6 in each side.
-3 + 6 < x - 6 + 6 < 3 + 6
3 < x < 9
That will be the domain in that case.
PLZ ANSWER WILL GIVE BRAINLIST 15 POINTS AND PLUS THREE FOR CORRECT ANSWER!!!!!!
Answer:
22
Step-by-step explanation:
just simple deduction
Can you help with this problem
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
If you find my answer helpful.then please mark me as brainliest
is 0.25 greater than 3/8
Answer:
no 0.250 is not greater than 3/8
Step-by-step explanation:
because when you make 3/8 into a decimal it becomes 0.375 so no
Answer:
No. 0.25 is not greater than 3/8
Step-by-step explanation:
Convert 3/8 to a decimal.
1/8 = 0.125 in decimal form.
Multiply this by 3.
3/8 = 0.375.
0.375 > 0.250
Your answer will be 0.25 < 3/8
Your Turn (Activity 3): Calculate the LCM of 54 and 90
Answer:
270
Step-by-step explanation:
6- 4(2r - 5) < 26 - 8r
This is algebra
Answer:
r>1
Step-by-step explanation:
6-4(2r-5)<26-8r do () first
6-8r+20<26-8r subtract 6 from both sides
-8r+20<20-8r Since this is the same on both sides, r>1 to make the equation not come out as 0
scientific notation for 1.0 ×10^6
Answer:
1000000
Step-by-step explanation:
I'm not sure what you meant by "scientific notation". So uhh, I only solved the 1.0 times 10^6,
10^6=10×10×10×10×10×10
10^6=1000000
(Fun fact. If you ever see a power of 10, you don't actually need to solve it. Look at the power, and add the same amount of 0's. For example 10^2. Power sign is 2. 2 trailing 0's.)
If x varies directly as y. Find x when y = 1 if x= 12 when y= 4
Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
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To convert 564 kL to mL, you move the decimal point _____ places to the _____. i need help ASAP please!
Answer:
6 places to the right....
For the inequality y < 8 which statement best describes the graph?
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
There would be a horizontal solid line on (0,8) and shading would occur above the line.
There would be a vertical dotted line on (8,0) and shading would occur to the right of the line
There would be a vertical solid line on (8,0) and shading would occur to the left of the line.
Answer:
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
I just took the test and got it right :) hope this helps!
For the given inequality, the best describes the graph is that there would be a horizontal-dotted line on the point (0, 8) and shading occurred below the line. Hence, option A is correct.
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
When the is made, there is the shaded area provided that is made due to intersection of lines and the area below the both the lines and the common that is said to be the shaded area.
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Solve for m. -5m=-35 m=
Answer:
m = 0
Step-by-step explanation:
Solve: Add -35m to -5m
-5m = -35m
+35m
30m = 0 *note: its okay to have 0 in this spot*
divide 0/30
m=0 because you can't divide by 0
The value of m is 7 for the given statement -5m = -35.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an expression
-5m = -35
Divide by -5 on both sides
m = 7
Therefore, For the given expression -5m = -35 the value of m is 7.
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How to solve 25= 4+ 7x
Answer: x =3
Step-by-step explanation:
Secant and Tangent Angles in circles.
Solve for x.
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,
∠WVU = (arc WU + arc WU)/2
5x + 17 = [(37x + 5) + (23x - 5)]/2
2(5x + 17) = (37x + 5) + (23x - 5)
10x + 34 = 37x + 5 + 23x - 5
10x - 37x - 23x = 5 - 5 - 34
-50x = -34
x = 34/50
x = 17/25
Hence, the value of x is 17/25.
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(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?
PLZ HELP WILL GIVE BRANLIST
Answer:
25
Step-by-step explanation:
so lets write our ratios.
Students that wear glasses to the whole class:
2 : 5
Students that wear glasses to those that dont:
2 : 3
And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be
10 : 15
10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.
PLEASE!! For 22 points!!
Write the equation of the line that passes through the points (-4,-4) and (6,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = 3/5x + 3/5.
Step-by-step explanation:
the /'s are division symbols. 3 3
y = _ + _
5 5
A person can pay $24 for a member to the art museum and then go to the art museum can make for a total cost of 44$ ?
Answer:
tyhjhngbfr
Step-by-step explanation:
gbftrfedvgbhnjyh yeet
I have to order it from least to greatest in absolute value, and i dont get it can anyone help?
Answer:
ight A on top since it's the cmallest followed by B,C,D,E
Step-by-step explanation:
slope intercept
y= 1/2x + 2
Don't know exactly what you're asking, but I think you're asking what the slope and what the y-intercept is.
1/2x is the slope
Positive 2 is the y-intercept
it y because of the equation mx +b and b is y
Fifteen more than the square of a number is eight times the number.
Answer: n = 3 or 5
n^2+15=8n
Or,
n2 - 8n + 15 = 0
(n - 3)(n - 5) = 0
So n is 3 or 5.
Need help on 7-8, thank you in advance! :)
Answer:
7)
a. y = 1/3x - 2
b. m = 1/3, b = -2
8.
a. y = -1/3x -5
b. m = -1/3, b = -5
Step-by-step explanation:
7.
2x - 6y = 12
-6y = -2x + 12
y = 1/3x - 2
8.
x + 3y = -15
3y = -x - 15
y = -1/3x -5
c.
Same factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?
Given :
Factory has supplies expenses of $1135.78 a day.
Company earns $60,128.72 in one week.
To Find :
The factory's total profit or loss in one week.
Solution :
Expenses of factory of a week :
E =$( 1135.78 × 7 ) = $7950.46 .
Now, profit is given by :
P = $60,128.72 - $7950.46
P = $52178.26
Therefore, total profit of factory in one week is $52178.26 .
Hence, this is the required solution.