Answer:
Cheetah's speed = 2.79 miles per hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 335 miles, Time = 120 hours
So, speed = 335 / 120
Speed = 2.79 mph
In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014, let the random variable C represent the number of households in the sample that had a computer. What are the mean and standard deviation of C ?
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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The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the larger polygon.
Answer:
42sq
Step-by-step explanation:
5:7
30 sq: x sq
30/5=6 sq for 1 of the ratio
6*7=42 sq for 7 of the ratio
28 divided 3.5
help meh plz
Answer:
8
have a good day! :)
Help please! The division Axiom would allow us to say which two angles are equal?
Answer:
The correct option is;
(3) ∠ADB and ∠BDC
Step-by-step explanation:
From the division axiom, we have;
(a+a)/a = 2·a/a = 2
The given parameters are;
m∠ADC = m∠ABC
[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC
Therefore;
∠ADB ≅ ∠BDC
∠ABD ≅ ∠CBD
Therefore;
∠ADB/∠CBD = ∠BDC/∠ABD
Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.
6x + 3x - x + 9 = 33
Answer: x=3
Step-by-step explanation:
6x + 3x - x + 9 = 33
Combine like terms:
6x+3x-x=8x
The equation is now 8x+9=33
Subtract 9 on both sides:
8x+9-9=33-9
8x=24
Divide 8 on both sides:
8x/8=24/8
x=3
Brooklyn has 4 3/4 cups of oatmeal. She is dividing the oatmeal into 1/3-cup servings.
Answer:
14 servings
Step-by-step explanation:
4 3/4 = 19/4
19/4 ÷ 1/3
19/4 × 3
57/4
14 1/4 serving if just want one solid answer its 14
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answer:
The Value of x would be 3
Step-by-step explanation:
Answer is A
Answer:
A. 3
Step-by-step explanation:
− 3/4 is a rational number, but not an integer. Explain why below.
− 3/4 is not an integer but a a rational number.
Why is this correct?A rational number is simply a number that can be written as a fraction with both the numerator and denominator being integers (where the denominator's not zero). For instance lets consider 3/4 as an example. It can be expressed as the fraction 3/4, where 3 and 4 are both integers.
On the hand an integer is a number that is not, in the form of a fraction. In the case of 3/4 it cannot be classified as an integer since it represents a fraction, than a whole number.
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The x coordinate for an ordered pair in the solution set of x+2y=11 is 3. find the y coordinate
Answer:
y=4
Step-by-step explanation:
solve for y. I have the work shown in the picture I attached.
1. If mPCV = 42, then mZVCN =
Answer:
Easy lol mzvcn=48
Step-by-step explanation:
Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.
Please quickly! Out of 5,500 people who attended the football game, fifty-six percent were rooting for the home team. How many people rooted for the home team?
What are the coordinates of point S”?
Answer:A
Step-by-step explanation:
Nothing but slope.................
Answer:
1. 1
2. 3
3. 4
Step-by-step explanation:
B
15
C
А.
Find the length of "a"using
the Pythagorean Theorem.
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve for the missing length a.
Step 2: Define
hypotenuse c = 15
leg b = 9
leg a = ?
Step 3: Find missing length a
Substitute in variables: a² + 9² = 15²Isolate a term: a² = 15² - 9²Exponents: a² = 225 - 81Subtract: a² = 144Isolate a: a = ±12Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.
∴ a = 12 is our final answer.
What is the slope of the line that passes through the points ( -4, 1) and ( -4, -10)?
(Brainliest for correct answer)
Answer:
the correct answer is x=-4
Step-by-step explanation:
radius=21 what is the cicumference
Answer:
circumference = 2πr
[tex]= 2*\frac{22}{7}*21\\\\\\= \frac{44}{7}*21\\\\= \frac{924}{7}\\\\= 132[/tex]
What value of x is in the solution set of 9(2x + 1) < 9x – 18?
Answer:
-3 > x
Step-by-step explanation:
Multiply 2x and 1 by 9. You have 18x + 9 < 9x - 18.Add 18 to 9. You are adding because it is the opposite of subtraction, so it cancels out. You now have 18x + 27 < 9x.Subtract 18x from 9. There is no addition sign in front of the 18x, but it's basically implied. You now have 27 < -9x.Divide both sides by -9. When you divide by a negative, the inequality sign flips. You now have -3 > x.Write an equation in slope-intercept form that passes through the point (3,-5)
with a slope of 1.
Mr. Au went to eat at McDonald's this week. On Monday, he ate some hamburgers. On Tuesday, he ate nothing at McDonald's. On Wednesday, he ate four more hamburgers than the number that he ate on Monday. On Thursday, he ate nothing at McDonald's. On Friday, Mr. Au ate three times as many hamburgers as he ate on Wednesday. Mr. Au ate a total of 26 hamburgers that week. How many hamburgers did he eat each day?
Answer: See explanation
Step-by-step explanation:
Let the number of hamburger he ate on Monday be represented by x.
Monday = x
Tuesday = 0
Wednesday = x + 4
Thursday = 0
Friday = 3(x + 4)
Total hamburgers ate = 26
To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:
= x + 0 + x + 4 + 0 + 3(x+4) = 26
2x + 4 + 3x + 12 = 26
5x + 16 = 26
5x = 26 - 16
5x = 10
x = 10/5
x = 2
Monday = x = 2 hamburgers
Tuesday = 0
Wednesday = x + 4 = 2 + 4 = 6 hamburgers
Thursday = 0
Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers
Jen walked 1/4 of a mile in 1/2 of an hour. At this rate, how long will it take her to walk 2 miles to the park?
A. 2 hours
B. 8 hours
C. 4 hours
D. 6 hours
Answer:
The awnser is C. 4 hours
Step-by-step explanation:
It takes her 2 hours two walk 1 mile so 2*2 is 4
(ANSWER FAST PLSS)In AABC, what is the measure of angle B?
B
(2x)
(x+2).
140
A
046
0480
0700
092
Underwood Farms had 242 pumkins at the start of November . 12 visitors brought 2 pumkins wach by November 10th. How many pumkind does the farm have left?
Answer:
Total pumpkins left = 254
Step-by-step explanation:
Total pumpkins available = 242
12 visitors brought 2 pumkins each by November 10th.
Total pumpkins brought = 12 × 2
= 24 pumpkins
How many pumkind does the farm have left?
Total pumpkins left = Total pumpkins available + total pumpkins brought
= 242 + 12
= 254
Total pumpkins left = 254
Ixl!!! Help please lol?
Answer:
No am I right?
Step-by-step explanation:
I can't really explain why but I'm pretty sure it's no
Answer:
yes i think
Step-by-step explanation:
Even though all sides are not congruent a square can be a rectangle.
Express your answer in scientific notation. 5.4×10^5 + 6.7×10^4
Answer:
The answer is 6.07 x 10^5
Step-by-step explanation:
Answer:
6.07 x 10^5
Step-by-step explanation:
khan
At an office supply store, 8 boxes of pens and 3 folders cost $6.50. At the same store, 8 boxes of pens and 1 folder cost $5.90. How much does one box of pens cost? How much does 1 folder cost? Please explain.
Answer:
$0.30
Step-by-step explanation:
the difference of the folders is 2.
The difference of money is $0.60
60/2 = 30
$0.30
the height of an apple
Answer:
apples are usually roundish, 5–10 cm (2–4 inches) in diameter
Step-by-step explanation:
Dwarf apple trees grow about 10 feet tall, while semi-dwarf varieties can reach 15 feet. Meanwhile, standard-size apple trees often soar to heights above 20 feet and sometimes tower at 30 feet.
Apples are 5 - 10 cm in height.
What is height?Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it
Given is an apple.
When harvested, apples are usually roundish, 5–10 cm (2–4 inches) in diameter.
Therefore, apples are 5 - 10 cm in height.
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what is the value of this expression below when x=10
6x-5
Answer:
55
Step-by-step explanation:
6(10)-5
=60-5
=55
PLS GIVE BRAINLIEST
Answer:
55
Step-by-step explanation:
for this problem, you would use substitution. What you do is replace the x in the 6x-5 expression with 10 (since x is already solved for 10).
6x-5 and x=10
substitute x for 10
6(10)-5
simplify
60-5
answer
55
Jackson kitten weighed 2 pounds 3 ounces a month later the kitten weighed 56 ounces. How munch weight did the kitten gain in that month. How many ounces did the kitten gain
Answer: 21 ounces
Step-by-step explanation:
From the question, we are told that Jackson kitten weighed 2 pounds 3 ounces a month. We should note that 16 ounces = 1 pound.
Therefore we'll convert 2 pounds, 3 ounces to ounces. This will be:
= (2 × 16 ounces) + 3 ounces
= 32 ounces + 3 ounces
= 35 ounces
We are further told that later the kitten weighed 56 ounces.
The amount of weight gained by the kitten in that month will be:
= 56 ounces - 35 ounces
= 21 ounces
Find the value of k so that the remainder is -5 for (3x+kx^2-7x+10) / (x+3).
5
10
3
-8
60
Answer:5
Step-by-step explanation: