Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) = [tex]\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}[/tex]
= [tex]{^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}[/tex] + .......+ [tex]{^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}[/tex]
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076
Find the missing side. Round to the nearest tenth when necessary
slant height =15.2 in. height =14 in.base width =12 in .What is the surface area of the pyramid?
Answer: 605.08 hope this helps.
Step-by-step explanation:
Nora is decorating the outside of a box in the shape of a cube. The figure below shows a net for the box (Please Help)
Answer:
1314.24
Step-by-step explanation:
which of the following is the equivalent to the radical expression below when x> 0
square foot 12x^3 + Square root 6x
Answer:
i think it is b
Step-by-step explanation:
The equivalent to the radical expression will be x√2. Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ √(12x³) ÷ √(6x)
Simplify the expression, then we have
⇒ √(12x³) ÷ √(6x)
⇒ √(12x³ ÷ 6x)
⇒ √(2x²)
⇒ x√2
The comparable to the extreme articulation will be x√2. Then the right choice is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
b) Find the value of 7 - 2x when x = -3
Answer:
Replacing the value or x = -3in 7 - 2x, we get,
7 - 2 x (-3)
= 7 + 6
= 13
Answer:
13 is the value of 7 - 2x when x = -3
Step-by-step explanation:
7 -(2×-3)
7 - (-6)
7+6
13
If angles P and Q are supplementary angles, which of the following must always be true?
Please no link comment an actual answer please!
Answer:
180
Step-by-step explanation:
for two angles to be supplementary, their sum must be equal to 180°
Please need help on this
Answer:
x^2 + y^2 = 9
Step-by-step explanation:
NEED ANSWER ASAP, CORRECT PERSON GETS BRAINLIEST.
reflection across the x-axis
Answer:
reflection across the x-axis
Step-by-step explanation:
Think of it as "folded" and it helps to see which axis you are reflecting across.
Answer theses 2 questions for me someone
Answer:
(-2,0), no x intercept
2. (0.8333333333333333,0) and it would be a dotted boundary line shaded on the bottom half
Step-by-step explanation:
A DVD disc has a diameter of 12 centimeters. What is the surface area of one side of the disc?
Answer: 36pi = 113.097336
Step-by-step explanation:
diameter/2 = 6
6^2=36
Solve the equation for x. X2 + 10x + 16 = 0 O A. -8,-2 OB. 8,2 OC.-4 OD. 4
Step-by-step explanation:
[tex] {x}^{2} + 10x + 16 = 0 \\ factors : 2 \: and \: 8 \\ = > {x}^{2} + 2x + 8x + 16 = 0 \\ x(x + 2) + 8(x + 2) = 0 \\ (x + 8)(x + 2) = 0 \\ hence \\ x = - 8 \: and \: - 2 \\ = > A. -8,-2[/tex]
Mr. Turner bought x boxes of pencils. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. Write a function rule that represents the total number of pencils he took to school.
Answer:12
Step-by-step explanation:I divided 3 by 120 and got 0.12 take the zesty out and the demical
0.955 inch rounded to the nearest tenth
Answer:
9.55 is rounded to nearest tenth is 1.0
Simplify the expression using the distributive property:
12 (2x + 4)
Answer:
24x + 48
Step-by-step explanation:
12(2x) + 12(4) = 24x + 48
Answer:
24x + 48
Step-by-step explanation:
dont feel like explaining sorry
find the area of the shaded region
Answer:
D) 54.9 cm^2
Step-by-step explanation:
I found the area of the circle wwith the formula A= πr^2
A= π•64
then I found the area of the square, 256
then I subtracted the area of the circle from the area of the square and got approx. 54.9
hope this helps <3
The two spinners are spun.
Find the probability of getting a 2 and the letter B,
P(2 and B)?
Answer:
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the events getting a 2 and the letter B are independents, so we find each separate probability and multiply them.
Probability of getting a 2:
8 possible values on the spinner, one of which is 2. So
[tex]P(A) = \frac{1}{8}[/tex]
Probability of getting a B:
6 possible values, two of which are B. So
[tex]P(B) = \frac{2}{6} = \frac{1}{3}[/tex]
P(2 and B)?
[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{8}*\frac{1}{3} = \frac{1}{8*3} = \frac{1}{24} = 0.0417[/tex]
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
can someone help me wit this ?
Answer:
The answer is D
Step-by-step explanation:
1. The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) + 11. Which statement about the graphs is true?
A. The y-intercept of the graph of g is 11 units above the y-intercept of the graph of f
B. The vertex of the graph of g is 11 units to the right of the vertex of the graph of f
C. The graph of g is a reflection of the graph of f across the y-axis
D. The of g is a reflection of the graph of f across the x-axis
2. The graph of g (x) = x^2 was transformed to create the graph of h (x) = 3x^2. Which of these describes the transformation from the graph of g to the graph of h?
A. A vertical stretch by a factor of 3
B. A vertical compression by a factor of 3
C. A reflection over the x-axis
D. A vertical shift up 3 units
3. The graph of f (x) = x^2 was transformed to create the graph of g (x) = 1/4x^2. Which of these describes this transformation?
A. The graph shows a vertical compression
B. The graph is a reflection across the x-axis
C. The graph shows a shift up
D. The graph shows a vertical stretch
The table below lists the number of layers of centimeter cubes, along with the number
of cubes in each layer, in each of four rectangular prisms.
LAYERS OF CUBES IN RECTANGULAR PRISMS
Prism
Number of
Layers
Number of Cubes
in Each Layer
R
3
8
S
5
5
T
6
5
U
7
4
Which rectangular prism has the greatest volume?
A Prism R
B Prism S
C Prism T
D Prism U
Answer:
The answer would be C: Prism T
Step-by-step explanation:
R=3x8=24 cubes
S=5x5=25 cubes
T=6x5=30 cubes
U=7x4=28
Therefore, T is biggest
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account paying an interest rate of 5 3/4% compounded monthly. After 13 years, how much more money would Madeline have in her account than Harper
Answer:
$5564.87
Step-by-step explanation:
We are to determine the difference between the future values of each investment
The formula for calculating future value:
FV = P (1 + r)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
Madeline
P = Present value = 51,000
R = interest rate = 0.06125 / 365 = 0.000168
N = number of years = 13
m = number of compounding = 365
51,000 x (1.000168)^4745 = 113,070.20
Harper
51,000 x (1.004792)^156 = 107,505.33
Difference = 113,070.20 - 107,505.33 = $5,564.87
Answer:$5565 just took it
Step-by-step explanation:
You have two coupons, one is for $25 off and the other is for 25% off. When would you use the $25 off coupon? When would you use the 25% off coupon? When would it not matter which coupon you use?
Answer:
If I had two coupons, one for $ 25 off and the other for 25% off, to determine when I would use the $ 25 off coupon and when I would use the 25% off coupon, and when it would not matter which coupon I would use, I must carry out the following reasoning:
The $ 25 off coupon is a flat coupon, that is, it does not adapt to the price of the thing to be paid, but rather maintains its value constantly. Therefore, its utilization will be higher if those $ 25 represent a high value compared to the initial price of the product: if the thing is worth $ 50, a $ 25 off coupon represents half its value, while if the thing is worth $ 500, that same coupon will only represent 5% of it. Therefore, I would use the coupon for things that are worth between $ 25 and $ 99.
Instead, the 25% off coupon is a variable coupon, which is adapted according to the value of the product. In other words, a discount will always be made for 25% of said value: if the product is worth $ 80, the discount will be $ 20 (80 x 0.25), while if the product is worth $ 1,000, the discount will be $ 250 (1000 x 0.25 ). Therefore, I would use the coupon for products with a price greater than $ 100, that is, from $ 101 and up.
Finally, since 25% of $ 100 is $ 25, if you buy something of that value, it would be indistinct to use either of the two coupons.
Estimate 24% of 289 using a rate per 100.
Answer:
69.36
Step-by-step explanation:
Multiply 289 with 24 and divide the result by 100
289 × 24 ÷ 100 = 69.36
A teacher buys packs of notebooks to give to his students. The ratio of gold notebooks to red notebooks is represented in the tape diagram.
Answer:
40 gold notebooks
Step-by-step explanation:
5:3 gold notebooks to red notebooks so using this we can set up a proportion
5 x
-- = ---
3 24
cross multiplying
3x = 120
x= 40
so there are 40 gold notebooks if there are 24 red notebooks
Answer: Answer above is right. Kudo's to him
Step-by-step explanation:
Help me please I don’t understand this
Answer:
40 tickets
Step-by-step explanation:
40 tickets as it aligns with the revenue they are asking for, that is $1000
The given data set shows the distance traveled, in miles, by customers to a bookstore event to meet their favorite author.
40, 35, 44, 90, 23, 25, 28, 35
Which data value is considered an outlier?
Answer:
90
Step-by-step explanation:
It is a large distance compared to the others
Answer:
90
Step-by-step explanation:
I took the k12 quiz, hope this helps. :)
HELP ME PLEASE DONT MIND THAT ANSWER DIDNT MEAN THE CLICK IT :(
Answer:
B)240 sm
Step-by-step explanation
6*4=24 sm
24*10=240 sm
So that means the surface area of that rectangular prism is 240 square meters
Helppppp pleaseeeeee asapppp
Find the measures of the interior angles of the triangle.
Help PLZ I’ll give you 15 and mark you most brainlyist
Answer:
<A = 45°
<B = 110°
Step-by-step explanation:
Sum of the interior angles of a triangle = 180°
Therefore,
(x + 65)° + 25° + x° = 180°
Solve for x
x + 65 + 25 + x = 180
Add like terms
2x + 90 = 180
2x = 180 - 90
2x = 90
x = 90/2
x = 45°
✔️x + 65 = 45 + 65 = 110°
<A = x = 45°
<B = 110°
A study of 420,046 cell phone users found that 140 of them developed cancer of the brain or nervous system. Prior to the study of the cell phone use, the rate of such cancer was found to be .0347% for those not using cell phones.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: False study.
Explanation: This is not true, and is purely by chance.
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
TE = 4 + 2x
EV = 4x - 4
Find TE.
Can anyone help with this?
Answer:
TE = 12
Step-by-step explanation:
Given:
TE = 4 + 2x
EV = 4x - 4
The diagonals of the figure bisects each other. This means that:
TE = EV
4 + 2x = 4x - 4
Collect like terms
2x - 4x = -4 - 4
-2x = -8
Divide both sides by -2
x = -8/-2
x = 4
✅Find TE:
TE = 4 + 2x
Plug in the value of x
TE = 4 + 2(4)
TE = 4 + 8
TE = 12