Answer:
1
--------------
y-1
with the restriction y cannot equal -1
Step-by-step explanation:
y+1
--------------
y^1 -1
Noticing that the denominator is the difference of squares and factoring
y+1
--------------
(y+1)(y-1)
Canceling like terms
1
--------------
y-1
with the restriction y cannot equal -1
According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)
Answer:
a) 8.74
b) 2.6607
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
According to a survey, about 19% of all Americans are without health insurance.
This means that [tex]p = 0.19[/tex]
Suppose that you select a random sample of 46 Americans.
This means that [tex]n = 46[/tex]
(a) Calculate the expected number of Americans without health insurance in the sample.
[tex]E(X) = np = 46*0.19 = 8.74[/tex]
(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]
Just 9 it’s just too much for me and please don’t mind the pencil marks
9514 1404 393
Answer:
1,493,582.81 ft²
Step-by-step explanation:
The area of one triangular face is found using the formula for the area of a triangle:
A = 1/2bh
A = 1/2(755.9 ft)(610 ft) = 230,549.5 ft²
The base area is the area of a square 755.9 ft on a side:
A = s²
A = (755.9 ft)² = 571,384.81 ft²
Then the total surface area of the pyramid is the sum of the the areas of four (4) triangular faces and the area of the base.
SA = 4(230,549.5 ft²) +571,384.81 ft²
SA = 1,493,582.81 ft²
_____
Additional comment
That is about 34.3 acres.
Which of the following equations is the result after the first step in solving 3x + 6 = 12?
x + 6 = 4
x = 3
3x = 18
3x = 6
Answer:
3x =6
Step-by-step explanation:
3x+6 =12
Subtract 6 from each side
3x+6-6 = 12-6
3x =6 pls mark branilest if that helped
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 71 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
71.4
Step-by-step explanation:
cos 6 = 71 / x = 71.4
Identify each part in the expression below. will give brainliest
Answer:
smalls
Step-by-step explanation:
Find the scale factor and ratio of perimeters for a pair of similar octagons with areas 16 ft' and 49 ft The scale factor is (Simplify your answer.) The ratio of perimeters is . (Simplify your answer.) Enter your answer in each of the answer boxes.
Answer:
67ft
Step-by-step explanation:
Which side length is labeled correctly?
A 3cm
B 4cm
C 5cm
D None are correctly labeled
Answer:
Step-by-step explanation:
3 cm
absolute value of -93
Answer:
93
Step-by-step explanation:
The absolute value is just how far from away from zero a number is.
ILL GIVE YOU BRAINLIEST
Answer:
Here I'll answer so you can give that person brainliest
Step-by-step explanation:
How has your day been??
A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is
Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Find y if the line through (5, 2) and (7, y) has a slope of 4.
Y= ___
Solve for x. 4(3x - 5) = 7(2x + 3).
Answer:
x = -20.5
Step-by-step explanation:
Simplifying
4(3x + -5) = 7(2x + 3)
Reorder the terms:
4(-5 + 3x) = 7(2x + 3)
(-5 * 4 + 3x * 4) = 7(2x + 3)
(-20 + 12x) = 7(2x + 3)
Reorder the terms:
-20 + 12x = 7(3 + 2x)
-20 + 12x = (3 * 7 + 2x * 7)
-20 + 12x = (21 + 14x)
Solving
-20 + 12x = 21 + 14x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x' to each side of the equation.
-20 + 12x + -14x = 21 + 14x + -14x
Combine like terms: 12x + -14x = -2x
-20 + -2x = 21 + 14x + -14x
Combine like terms: 14x + -14x = 0
-20 + -2x = 21 + 0
-20 + -2x = 21
Add '20' to each side of the equation.
-20 + 20 + -2x = 21 + 20
Combine like terms: -20 + 20 = 0
0 + -2x = 21 + 20
-2x = 21 + 20
Combine like terms: 21 + 20 = 41
-2x = 41
Divide each side by '-2'.
x = -20.5
Mr. Jones is shopping for new appliances at a store.
All appliances are on sale for 10% off.
• Sales tax is 7%.
Which expression could Mr. Jones use to calculate the total cost of any
appliance, x?
HINT: Find the cost of the item if the original price is $100. Then Let
X=100 and see which choice will give you the correct price.
mr. John is shopping for new Apple eyes at a store all lights are on sale for 10% off sales tax is 7% which expression could mr. Jones use to calculate the total cost any wise X fun cost of the item the original price is $100 equal 100 and see what toys will give you the correct price
pls help with this question i cant solve it
The tree is 6 feet tall
8^10 x 8^4 simplified write your answer as a power
Answer:
8^14
Step-by-step explanation:
8^10x8^4=8^(10+4)=8^14
I'm stuck on b, I've tried many methods but nothing seems to work (please help this is due in 3 hours)
Answer:
6/5
Step-by-step explanation:
An easy way to do this is see how the scale factor from a to b is 5/6? all you have to do is reverse those numbers! Hope this helps
5. The area of the greatest square that is cut from a rectangle of sides
7cm and 4cm is
(1)
49sq.cm (ii) 28sq.cm (iii) 16sq.cm (iv) 9sq.em
Answer:
16 cm²
Step-by-step explanation:
The dimension of rectangle = 7cm by 4 cm
The Area of the greatest square that can be cut from the rectangle :
The dimension has to be the Same to form a square :
Hence, the greatest width = 4cm
Therefore, taking the length also as 4cm
Area of square = side length²
Greatest area of square that can be cut = 4² = 16cm²
A man has 1/2 of a kilogram of rice. He shares it equally amongst 6 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
1/12
Step-by-step explanation:
Determine The Missing Number In The equation
1+12= +2
PLEASE HURRY!!!!
2/5 times 20 can you please help
Answer:
8
Step-by-step explanation:
The answer is 8 multiple
Hope it helps
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 refuse to respond. When 281 people in the 22-29 age bracket are contacted, 263 respond and 18 refuse to respond. Assume that 1 of the 357 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Answer:
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
357 people.
281 in the 22-29 age bracket + 65 in the 18-21 that agree to respond. So
[tex]p = \frac{281+65}{357} = 0.9692[/tex]
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Salim buys boxes of crackers that each has the same cost x. He represents the cost of 3 boxes of
cheese crackers, 4 boxes of poppy seed crackers, and 6 boxes of plain crackers using the
expression 3x + 4x + 6x. What equivalent expression can represent the cost?
Answer:
13x
Step-by-step explanation:
You add them all up since they're like terms and all have x
One half of an apple pie is left for
5 family members to share equally.
What fraction of the original pie will
each member get?
Answer: It will be 2/10
Step-by-step explanation:because if you divide the half part that you have into five and the other one two you will have 10 pieces that divided into 5 members will be 2
For his car Jason paid 91.48 per speacker for 3 speackers and 92.55 per tire for 5 tires with 8 100 bills . How much did Jason get in change ?
Answer:
1 speaker is $91.48
3 speakers = $91.48 × 3
= $274.44
1 tire is 9$2.55
5 tires = $92.55 × 5
= $462.75
8, 100 bills = $800
The cost for the 3 speakers and 5 tires = $274.44 + $462.75
= $737.19
Therefore, the change that Jason got was = $800 - $737.19
= $62.81
Given that n is an integer, prove that 6 is a factor ofn3+ 5n
Answer:
n3+5n=6
taking common as n
n(5+3)=6
n8=6
Factorise the following.
Answer:
Step-by-step explanation:
i). [tex]\frac{48a^3}{6a}=\frac{6\times 8\times a\times a^2}{6a}[/tex]
[tex]=\frac{6a}{6a}\times 8a^2[/tex]
= 8a²
ii). [tex]\frac{72a^3b^4c^5}{8ab^2c^3}[/tex] = [tex]\frac{8\times 9\times a\times a^2\times b^2\times b^2\times c^2\times c^3}{8ab^2c^3}[/tex]
= [tex]\frac{8ab^2c^3}{8ab^2c^3}\times 9a^2b^2c^2[/tex]
= 9a²b²c²
f(x)=1/4x-2 graph the function and the inverse
Answer:
Graph is below
Inverse: y=x/4 -2
y=x/4 -2
x=y/4 -2
x=y/4 -2 for y
Answer: y=4x+8
Step-by-step explanation:
HHHEEELLLPPPPP MMMMMMEEEEEE!!!!!!
Which is the graph of the function g(x)=−x^2−4x−1?
Answer:
its a, the first one
Step-by-step explanation:
i graphed it have a good day (:
PLS ANSWER ASAP THANKS
Answer:
x=54°
Step-by-step explanation:
x+36°=90°
x=90°-36°
x=54°
HOPE IT HELPS U
HAVE A GREAT DAY
The graph of y=f(x) is shown below. According to the graph what is f(3)?