Answer:
The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199
Step-by-step explanation:
The given probability that the pitcher throws a strike, p = 0.507
The number of pitches thrown by the pitcher = 15 pitches
The probability that the pitcher does not throw a strike, q = 1 - P
∴ q = 1 - 0.507 = 0.493
By binomial theorem, we have;
[tex]P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}= \dbinom{n}{r}p^{r} \cdot \left (1-p \right )^{n-r}[/tex]
When X = r = 8, and n = 15, we get;
The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows
P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199
What is the value of d?
A)80
B)100
C)84
D)50
Answer:
100 degrees
Step-by-step explanation:
You can tell by just looking at the picture :)
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
If a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he
remove to have milk testing 3.6% butterfat?
28.125 pounds
50 pounds
1.8 pounds
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Answer:
B. 50 poundsStep-by-step explanation:
Set the equation and solve for x:
300*3/100 = (300 - x)*3.6/100900 = 1080 - 3.6x3.6x = 180x = 180/3.6x = 50 poundsCorrect choice is B
Find the value of c
1.)[tex](4)^{3c}*(4)^{5c}=4/16[/tex]
[tex]\displaystyle\ \boxed{a^m\cdot a^n=a^{m+n}}\\\\4^{3c} \cdot 4^{5c}=\frac{4}{16} \\\\4^{3c+5c}=4^{-1}\\\\8c=-1\\\\c=-\frac{1}8}[/tex]
SOMEONE HELP ASAP PLEASE
Answer:
29%
Step-by-step explanation:
First, let's fill in the table.
Male:
Freshmen: 4
Sophomore: 6
Juniors: 2
Seniors: 2
Total: 4 + 6 + 2 + 2
Total: 14
Female:
Freshmen: 3
Sophomore: 4
Juniors: 6
Seniors: 3
Total: 3 + 4 + 6 + 3
Total: 16
Now, to find the probability that a male would be a freshmen, we would do:
4/14
Convert it to a decimal:
.285
Convert to percentage:
29%
So, there is a 29% chance that a male is a freshmen.
HELPPPPPP i will give brainliest!!!!!
Answer:
10-5=5 answer is 8^5
Step-by-step explanation:
Answer:
[tex]8^{5}[/tex]
Step-by-step explanation:
[tex]\frac{8^{10} }{8^{5} }[/tex]
Where are there more 8's ?
top
How many more?
5
Then they stay on top of fraction.
Another way :
[tex]x^{a}[/tex] ÷ [tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]
[tex]8^{10}[/tex] ÷ [tex]8^{5}[/tex] = [tex]8^{10-5}[/tex] = [tex]8^{5}[/tex]
Points (5,2), (1,0) and (a,5) lie on the same straight line. Then the value of a is a) 15 b) 13 c)11 d)9
Hello,
the line passing through (5,2) and (1,0) has for equation:
y-0=(x-1)*(-2)/(-4) or y=x/2-0.5
if y= 5 then 5=x/2-0.5 ==> 5.5=x/2 ==> x=11
Answer C
Answer:
C
Step-by-step explanation:
Since the points lie on the same line then the slope between consecutive points will be the same.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (1, 0)
m = [tex]\frac{0-2}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Calculate the slope again and equate to [tex]\frac{1}{2}[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (a, 5)
m = [tex]\frac{5-0}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] , so
[tex]\frac{5}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
a - 1 = 10 ( add 1 to both sides )
a = 11
Sarah borrows £500 for 2 years at a rate of 15% to buy a
new laptop.
Calculate the simple interest she will pay on this loan.
Answer: 150 pounds
Step-by-step explanation:
The equation of a circle is given below. Identify the center and the radius.
4x² + 32x + 4y2 – 20y = – 53
Answer:
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
[tex]given\Longrightarrow AB=AC[/tex]
[tex]\angle \;C=\angle \:B=60\ [isosceles ~triangle][/tex]
[tex]\angle~A+\angle~B+\angle~C=180[/tex]
[tex]x+60+60=180[/tex]
[tex]x+120=180[/tex]
[tex]x=180-120[/tex]
[tex]x=60[/tex]
-------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
How many subsets can be formed from the set F?
Answer:
32
Step-by-step explanation:
I'm very confirm with my answer mark me as brainliest plsssss
The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.
The slope between two points (x₁,y₁) and (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).
Let's calculate the slopes:
The slope between (4, 30) and (12, 90):
Slope = (90 - 30) / (12 - 4)
= 60 / 8
= 7.5
The slope between (4, 30) and (10, 75):
Slope = (75 - 30) / (10 - 4)
= 45 / 6
= 7.5
As we can see, the slopes between the two sets of ordered pairs are the same.
Thus, the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Hence, the correct answer is the third option.
Learn more about the slope of the line here:
brainly.com/question/14511992
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Can someone help me with this math homework please!
Read the following excerpt from a personal narrative essay. Based on the excerpt, what did the writer learn from her personal experience?
Have you ever been canoeing? I went on a canoeing trip with my mom, dad, and two brothers when I turned 13. It was one of the best days of my life. It was exciting, scary, and challenging all at once. At first I couldn’t believe those long, narrow pieces of wood could hold all five of us. But our instructor told us that canoes have been around for many years. He also told us some interesting facts about the history of canoe, like how American Indians used canoes as a way to travel quickly.
He patted the wood of the canoe we would be using. “It’s made of an old tree trunk,” he said.
I asked the question that had been bothering me ever since I saw our canoe. “Can it really hold all of us?” I pointed to my brothers and me. “It looks like the bottom could fall right off.”
The instructor laughed. “Oh, you’ll be surprised how strong this wood is. If our customers were always drowning, we’d have a 'sinking' business on our hands.”
He laughed some more at his own joke. Then he became serious and showed us how to keep our balance while getting into and out of the boat. He also showed me how to grip the paddle so that my left hand would guide the boat and my right hand would give the paddle power.
A.
Canoeing is dangerous, and only people who are experts can do it.
B.
Even events that seem a little scary can turn out to be great.
C.
The best age to go on a canoeing trip is 13.
D.
Canoeing can cause injury if you’re new to the sport.
Hiệu điện thế giữa hai điểm M và N là UMN = 100 V. Một điện tích q = -2μC di chuyển từ M đến N thì công của lực điện là:
Answer:
The work done is - 200 μJ.
Step-by-step explanation:
The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:
Potential difference, V = 100 V
Charge, q = - 2 μC
The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.
So, W = q V
W = - 2 μC x 100 V = - 200 μJ
how to write an interval x -3
Step-by-step explanation:
We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].
Guys please help me if you don’t mind
Step-by-step explanation:
Step 1: The factors of -60 that add up to -11 are -15 and 4.
Step 2:
[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]
Step 3:
[tex]3x(2x - 5) + 2(2x - 5)[/tex]
[tex](3x + 2)(2x - 5) [/tex]
Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *
6
20
7
28
[tex]a = 28.[/tex]
Step-by-step explanation:
[tex] {a}n = a + (n - 1)d[/tex]
[tex]4 = a + (7 - 1)( - 4)[/tex]
[tex]4 = a + 6( - 4)[/tex]
[tex]4 = a + ( - 24)[/tex]
[tex]4 = a - 24[/tex]
[tex]4 + 24 = a[/tex]
[tex]28 = a[/tex]
(OR)
[tex]a = 28.[/tex]
Solve for x. Thank you
Answer:
x = sqrt(3)
Step-by-step explanation:
Use Thales theorem
x²=3(4-3)x²=3(1)x²=3x=√3∣1/12 − 5/6∣ − (2/5 + 1/10)
I WILL GIVE BRAINLYST
Answer:
forst mark me as a brainleast
What does the point (1994, 400) on the graph represent?
Answer: There are 400 tadpoles in the year 1994.
This is because any point is of the form (x,y) where in this case
x = year number
y = tadpole population number
So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.
In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.
From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.
Need help on this question asap pleasee
Answer:
I believe its the 1st answer.
Which statement about a right triangle is true?
A: The length of each leg equals 1/2 of the hypotenuse.
B: The square of the hypotenuse is equal to the sum of the squares of the legs.
C: One leg is always longer than the hypotenuse.
D: A right triangle can have only one obtuse angle.
Answer:
the square of hypotenuse rs eqaul to the sum of the square of the legs
Solve for congruent triangles
Answer:
11. B.
12. C.
13. A.
14. D.
Step-by-step explanation:
for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them
for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.
for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.
for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.
A jet travels 832 km in 5 hours.at this rate,how far could the jet fly in 12 hours? What is the rate of speed of the jet
Answer:
1344.
Step-by-step explanation :
.
The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A jet travels 832 km in 5 hours.
Then the speed of the jet will be
Speed = 832 / 5
Speed = 166.4 km per hours
If the jet fly for 12 hours, then the distance cover will be
Distance = Speed x Time
Distance = 166.4 x 12
Distance = 1996.8 km
More about the speed link is given below.
https://brainly.com/question/7359669
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Helppp and explain too
Answer:
the first option
Step-by-step explanation:
I have attached the explanation. hope this help
What is the value of x in the equation 4 . 10 X+52 3 +35x+1 5 ?
:)
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given:
[tex]4\frac{3}{10}-(2\frac{2}{5}x+5\frac{1}{2})=\frac{1}{2}(-3\frac{3}{5}x+1\frac{1}{5})[/tex]
Distribute to remove parentheses:
[tex]4\frac{3}{10}-2\frac{2}{5}x-5\frac{1}{2}=-\frac{18}{10}x+\frac{6}{10}[/tex]
For simplification and clarity, reduce all mixed numbers to simplified common fractions:
[tex]\frac{43}{10}-\frac{12}{5}x-\frac{11}{2}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Combine like terms:
[tex]-\frac{12}{5}x-\frac{6}{5}=-\frac{9}{5}x+\frac{3}{5}[/tex]
Add 6/5 to both sides, then add 9/5x to both sides:
[tex]-\frac{3}{5}x=\frac{9}{5}[/tex]
Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):
[tex]x=\frac{9}{5}\cdot -\frac{5}{3}, \\x=\frac{-9}{3},\\x=\boxed{-3}[/tex]
A clínica odontológica Dentes Felizes calcula o valor de seus atendimentos a partir de uma taxa fixa de R$ 100,00 e R$ 60,00 por cada obturação.
Answer:
$ 100 + $ 60 y
Step-by-step explanation:
The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.
Let the total number of fillings is y.
The total cost of fillings = $ 60 x y = $ 60 y
The total cost of the treatment = $ 100 + $ 60 y
Which graphs are the graphs of even functions?
HELP ASAP
Answer:
Step-by-step explanation:
Even functions have symmetry about the y-axis, so the graphs of even functions are the bottom 2.
help pls and explain!!
Each molecule of aluminum oxide (Al2,03) is
composed of 2 aluminum atoms and 3 oxygen atoms.
How many more oxygen atoms than aluminum
atoms are present in 100 molecules of aluminum
oxide?
Answer:
100
Step-by-step explanation:
[tex](100 \times 3) - (100 \times 2) = 100 [/tex]
