Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 14, p = 0.8[/tex]
P(x>10)
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]
[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]
[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]
[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]
So P(x > 10) = 0.6981.
Pls hurry and answer it for me!!!
I neeeddddd help on this I’m failing
Answer:
AB = 9
Step-by-step explanation:
Here is a simple case of a proportion.
We see that:
3:4
x:12
what can we do to make 4 into 12?
we multiply it by 3
so we do the same to 3
3*3=9
© PLAY
STOP
5
Madeline says that the two expressions 4(5 + x) and 20+ x equivalent.
(a)
Is Madeline correct?
A
Yes
B
No
Answer:
B No
Step-by-step explanation:
4(5 + x)
To simplify the expression, we must use the distributive property. We need to multiply 4 by the each of the two terms inside the parentheses.
4(5 + x) = 4 × 5 + 4 × x = 20 + 4x
20 + 4x is equivalent to 4(5 + x).
20 + x is not equivalent to 20 + 4x, so 20 + x is incorrect.
Answer: B No
What is the first step in solving -40=12x+8
Answer:
it's in the picture
Step-by-step explanation:
Please Answer Correctly - Will Give Branliest & Extra Points. (links or unidentified/wrong answers will be reported and auto banned)
Answer:
Step-by-step explanation:
11 no
46+4x=90 degree(being perpendicular)
4x=90-46
x=44/4
x=11
12 no
They are complementary angles
6 no
angle B+27=180 degree(being straight line)
angle B=180-27
angle B=153
10 no
angle 38 +angle DFE=180 degree(being supplementary)
angle DFE=180-38
angle DFE=142 degree
5 no
They are vertically opposite angles.
7 no
angle AGF and angle CGD (because they have common arm and vertex)
Answer:
Solution given:
11.4x+46=90[being right angle]
4x=90-46
x=44/4
x=11
12.
Complementary angles
5.
vertical
6.
<ABD+27=180°[linear pair]
<ABD=180-27
<ABD=153° degree
10.
<DFE+38=180[being supplementary]
<DFE=180-38
<DFE=142 degrees.
7.
angle DGE and angle DGC
8.
<AGB and <AGE
Can someone help me please
3x^2 = 48
Divide both sides by 3
3x^2 ÷ 3 = 48 ÷ 3
x^2 = 16
Take a square root from both sides
√x^2 = + √16 " OR " √x^2 = - √16
x = 4 " OR " x = - 4
Thus the correct answer is option 3 .
Please help If using the method of completing the square to solve the quadratic equation
22 - 142 – 40 = 0, which number would have to be added to "complete the
square"?
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
6. Yenni bought some apple pies for $13 and had some money left. If she
buys 1 more apple
pie, she would have $0.20 left. If she decided to buy 3
more apple pies, she would be short of $1.80.
(a) How many apple pies did she buy with $13?
(b) How much money did Yenni have at first?
Answer:
A) Since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.
B) Yenni had $ 14.20 at the beginning.
Step-by-step explanation:
Since Yenni bought some apple pies for $ 13 and had some money left, and if she buys 1 more apple pie, she would have $ 0.20 left, while if she decided to buy 3 more apple pies, she would be short of $ 1.80, for To determine how many apple pies did she buy with $ 13, and how much money did Yenni have at first, the following calculations must be performed:
0.20 - (-1.80) = X
0.20 + 1.80 = X
2 = X
2/2 = 1
Therefore, since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.
13 + 1 + 0.20 = 14.20
14.20 - 13 = 1.20
In turn, Yenni had $ 14.20 at the beginning.
The nutrition label on a carton of soy milk says that one glass contains 7 grams of protein. How many milligrams of protein does one glass contain
Can somebody please help me. I am really stuck and the tutor option really isn’t working!!!!
Answer:
its fourth one in my opinoin
Calc help!
Suppose that
f(5) = 2, f '(5) = 9, g(5) = −6, and g'(5) = 7.
Find the following values.
(fg)'(5) =
(f/g)'(5) =
(g/f)'(5)=
Answer:
(fg)'(5) = -40
(f/g)'(5) = -68/36
(g/f)'(5)= 17
Step-by-step explanation:
(fg)'(5) =
Applying the product derivative:
[tex]fg(5) = f^{\prime}(5)g(5) + g^{\prime}(5)f(5) = 9*(-6) + 7*2 = -54 + 14 = -40[/tex]
(f/g)'(5) =
Applying the quotient derivative
[tex](\frac{f}{g})^{\prime}(5) = \frac{f^{\prime}(5)g(5) - g^{\prime}(5)f(5)}{g(5)^2} = \frac{9*(-6) - 7*2}{6^2} = -\frac{68}{36}[/tex]
(g/f)'(5)=
[tex](\frac{g}{f})^{\prime}(5) = \frac{g^{\prime}(5)f(5) - f^{\prime}(5)g(5)}{f^{\prime}(5)^2} = \frac{7*2 - 9*(-6)}{2^2} = \frac{68}{4} = 17[/tex]
If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation 2.58, what is the probability that a randomly chosen golfer's score is below 70 strokes
Answer:
0.6069
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 69.3 ; Standard deviation = 2.58
For :
P(x < 70)
Z = (70 - 69.3) / 2.58
Z = 0.7 / 2.58
Z = 0.2713
P(Z < 0.2713) = 0.6069
what is the location of the point on the number line with the largest value
a. 3/4
b. 3/2
c. 6/5
d. 7/5
Answer:
3/2
Step-by-step explanation:
6/5 = 1 1/5
7/5 = 1 2/5
3/2 = 1 1/2
1/5 < 2/5 < 1/2
The base of a triangle is 2 ft. The height of hr triangle is 15 in. What is the area of he triangle in square inches.
Answer:
A=180in²
Step-by-step explanation:
b≈0.61m
h≈0.38m
Answer:
180 in
Step-by-step explanation:
since you need the answer in inches first turn the 2 feet into inches so it would be 24 inches then follow the formula...........area = (1/2) · b · h and your answer should be 180. I hope I helped :)
Solve the inequality: a - 4 <10
Α. α >14
B. a < 14
C. a <-14
D. a > 6
E. a<6
HELP!!
==================================================
Explanation:
Add 4 to both sides
a-4 < 10
a-4+4 < 10+4
a < 14
The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.
Quadrilateral ABCD is inscribed. The measure of ∠A=67°. What is the measure of ∠C?
Answer:
angle C =113 degree
Step-by-step explanation:
angle A + angle C =180 degree
angle C = 180 degree - angle A
angle C = 180 degree - 67 degree
=113 degree
What is the sum of
7 + 8J + 3,?
Answer:
8j + 10
Step-by-step explanation:
The width of a rectangle is 5 times its length. The perimeter is
53.
Find the width and length of the rectangle.
HELP. MATH FINAL DUE SOON....
Answer:
L = x
W = 5x
P = 2 (L + W)
53 = 2(x + 5x)
53 = 2(6x)
53 = 12x
x = 4/5/12
L = 4/5/12
W = 22/1/12
What does it mean by And,Or in probability?
Answer:
In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.
Step-by-step explanation:
thank me later
Solve
4x > 16
..............
Answer:
256. fffddddddssddddd
The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 66 feet, what is the rate of change of the radius? Round your answer to three decimal places.
Answer:The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 6 feet, what is the rate of change of the radius? Round your answer Io three decimal places. 37.699 ft/min 3.701 ft/min 7.401 ft/min 2.79 ft/min
Step-by-step explanation:
8-10÷2+7x3
need this answer for homework
only reply if you know the exact answer
thank you for being kind
Answer:
24
Step-by-step explanation:
use pemdas
Hope this helps
Evaluate C(8,2)
thank u!!!!
Step-by-step explanation:
Given in the question,
C(8,2)
Formula to use:
nCr = n! / r! * (n - r)!
here n = 8
r = 2
We have to calculate combinations of 8 object taken 2 at a time, then
C(8,2)
8C2
8! / 2! * (8 - 2)!
56/2
28
So, 8C2 = 28
Plz help me....
What are the coordinates of point A?
Answer:
It's 5/4 because you go by x first
Answer:
A:(5,4)
Step-by-step explanation:
Just look. at the graph.Hope this helps
NEED HELP ON THIS ASAP!!
Answer:
Solution given:
<Q+<P=180°[su m of co interior angle is supplementary]
<Q+95=180
<Q=180-95
<Q=85
m<Q=85° degree
I have a rectangular figure. I enlarge the rectangle so that each dimension is 9 times its original dimension.
Which statement about the areas of the pictures is true?
A. The area of the enlarged rectangle is 9 times the area of the original
B. The area of the enlarged rectangle is 81 times the area of the original.
Which equation represents the line that passes through the points (-4, 0) and (0, 6)
Answer:
y = 1.5x + 6
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-4, 0)
Points on the y-axis (y1, y2) = (0, 6)
To find the equation of line;
First of all, we would determine the slope of the line.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {6 - 0}{0 - (-4)} [/tex]
[tex] Slope, m = \frac {6}{4} [/tex]
Slope, m = 1.5
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 0 = 1.5(x - (-4))
y = 1.5x + 6
Please someone help me with this
Answer: Soup B
Step-by-step explanation: You can find the common denominator for each ratio, and then compare.
Soup A : 3 grams of sodium for 13 cups of soup,
therefore: 30 grams of sodium for 130 cups of soup
Soup B: 9 grams of sodium for 10 cups of soup,
therefore: 117 grams of sodium for 130 cups of soup
So, Soup B has more sodium per cup.
If you want to figure out the amount of sodium for 1 cup, divide the amount of sodium by the amount of soup. Hope this helped!
Find the area of a regular heptagon with a side length of 14 units. Use 2 decimal places
in your calculations.
Answer:
Area of heptagon = 712.26 square units
Step-by-step explanation:
Given the following data;
Side length = 14 units
A heptagon is a polygon with seven sides.
Mathematically, the area of a heptagon is given by the formula;
Area of heptagon = 3.634a²
Where;
a represents the side length.
Area of heptagon = 3.634 * 14²
Area of heptagon = 3.634 * 196
Area of heptagon = 712.26 square units