Complete Question
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 220 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball.
If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet
Answer:
The value is [tex]P(X < 194 ) = 0.25785[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 220 \ feet[/tex]
The standard deviation is [tex]\sigma = 40 \ feet[/tex]
Generally the probability that this ball traveled fewer than 194 feet is mathematically represented as
[tex]P(X < 194 ) = P(\frac{X -\mu}{\sigma } < \frac{194 - 220}{40} )[/tex]
Generally [tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 194 ) = P(Z < -0.65 )[/tex]
From the z-table the probability of [tex](Z < -0.65 )[/tex]
[tex]P(Z < -0.65 ) = 0.25785[/tex]
So
[tex]P(X < 194 ) = 0.25785[/tex]
A store pays $122 for a tennis racquet. If the store marks the tennis racquet up 30%, how much are they selling the racquet for?
Answer:
$158.60 for the racquet
7. Identify the reason for each step in the solution.
-
3(x+2) = 2x+3
3x + 6 = 2x + 3
3x + 6 - 2x = 2x +3 - 2x
X+6 = 3
X+6 - 6 = 3-6
x = -3
Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.
Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:
Distributive Property
The first step applies the Distributive Property,
which states that multiplying a number outside the parentheses by the terms inside the parentheses.
Here, we multiply 3 by (x+2),
3(x+2)
= 3 × x + 3 ×2
= 3x + 6
Combining Like Terms
In the second step, combine like terms on both sides of the equation.
On the left side, we have 3x, and on the right side, we have 2x.
We also have constants 6 on the left side and 3 on the right side.
3x + 6 = 2x + 3
Move Variables to One Side
To solve for 'x', we want all the terms with 'x' on one side of the equation.
Here, move the term with 2x to the left side by subtracting 2x from both sides of the equation:
3x + 6 - 2x = 2x + 3 - 2x
Simplify
On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:
x + 6 = 3
Move Constants to the Other Side
To isolate 'x', we need to get rid of the constant term on the left side.
Subtracting 6 from both sides of the equation:
x + 6 - 6 = 3 - 6
Simplify
On the left side, the +6 and -6 cancel out, leaving us with:
x = -3
Final Solution
After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.
This means that if we replace 'x' with -3 in the equation, it will hold true:
3(-3 + 2) = 2(-3) + 3
-3 = -6 + 3
-3 = -3
And that's why the solution to the equation is x = -3.
Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3
learn more about simplification here
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Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
Answer:
Step-by-step explanation:
Write in slope intercept form:
(-4,6) slope= -3/4
Answer:
y=-3/4x+0
Step-by-step explanation:
WHAT IS 6 MULTIPLIED 6 + 2 +1
Answer: 108? I think haha-
Answer:
39
Step-by-step explanation:
6x6 is 36, and plus 3 it equals 38.
Add one.
39.
choose the fraction that has not been reduced to simplest form
Answer: What are the fractions
Step-by-step explanation:
Answer:
um what are the fractions???
Step-by-step explanation:
Simplify
(6 + 4i) + (8 - 91) + (-2 + i)
Answer:
-79 + 5 i
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(6+4i)+(8-9i)+(-2+i)
6+4i+8-9i-2+i
6+8-2+4i-9i+i
12-4i
−|9| = −9 True or False
Answer:
false
Step-by-step explanation:
Answer:
false because the absolute value of -9 would be 9 not negativ 9
If (4,-9) is rotated 270° about the origin the new point would be :
A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)
what is the value of x^2+4 for x=5
Answer:
25+4=29
thats your answer
PLEASE MARK AS THE BRAINLIEST
Answer:
29
Step-by-step explanation:
x^2+4
Let x= 5
5^2 +4
25+4
29
If you do this question I will give you brainlest I know the right Awnser just want to test you help me out and I’ll give you brainlest and points
3% Although I'm probably wrong.
Answer:
13 - 10 = 33 & 13The proportion, x = 23.Step-by-step explanation:
13 (i.e 100%) - 10 (i.e 77%) = 3 (i.e 23%)difference is 3 & original amount is 13The proportion, x = 23%
What value of x is in the solution set of 8x-6 > 12 + 2x?
3
5
what is the gcf of x5 and x7
Answer:
Step-by-step explanation:
the gcf of that is X
Write an expression for the perimeter of the rectangle. Make sure you expression is as simple as possible. 5x+9 , 3x+12
Answer:
6x+42
Step-by-step explanation:
So by, "5x+9 , 3x+12" I'm assuming you mean the length and the width.
The perimeter of a rectangle is 2(l+w), so if you put the values in, you get...
2(5x+9+3x+12)
2(8x+21)
6x+42, which is your answer.
Help me solve this 2(q +r)
I think the answer is 2q+2r
Please help me answer this
Answer:
a) 10:10 a.m.
b) 10:20 a.m.
c) 10:50 a.m.
d) math class is 60 minutes (1 hour) long
Step-by-step explanation:
The ratio black to blue bags is 5 to3 if there is 10 black bags how many blue bags?
Answer: 6
Step-by-step explanation:
Complete the table.
x=0 and 4
y=1/3x+2
Answer:
sorry man but I don't understand what we have to complete, is it x? and if x is what we have to find, what does the and 4 mean? if you can upload a photo it would be better.
Step-by-step explanation:
wish you luck
The Valdez family bought a Blu-ray player on sale. The original price was $120. They received a 12% discount. How much did the Valdez family pay for the Blu-ray player after the discount?
Answer:
$105.60
Step-by-step explanation:
I think...
I will mark u as brainlest if you help me lots of points the one I choose was probably not right it was just right there
Answer:
2/5
Step-by-step explanation:
Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.
Answer:
[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]
The local garden store sells bags of mulch for $4.98 each and will deliver the bags for a fee of $15 if Amber purchases 15 bags and has them delivered what is the total amount that Amber will pay?
Answer:
$89.70
Step-by-step explanation:
To solve this equation, let's formulate a linear equation.
Let [tex]b[/tex] equal bags of mulch.
Let [tex]t[/tex] equal the total amount.
We know the price of each bag of mulch ($4.98), so we can represent this as:
[tex]4.98b[/tex]
We also know that there's a fee of $15, so we can just represent this as:
[tex]15[/tex]
Let's put these values into an equation:
[tex]t=4.98b+15[/tex]
Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:
[tex]t=4.98(15)+15[/tex]
Multiply:
[tex]t=74.70+15[/tex]
Add:
[tex]t=89.70[/tex]
_
Check your work by substituting the total amount into the initial equation:
[tex]89.70=4.98b+15[/tex]
Subtract [tex]15[/tex] from both sides of the equation:
[tex]74.70=4.98b[/tex]
Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:
[tex]15=b[/tex]
Amber did in fact purchase 15 bags, so we know our total amount is correct!
A line with a slope of -10 passes through the point (1,-10) what is it equation in slope intercept form?
Answer:
y=-10x
Step-by-step explanation:
m=-10
For (1,-10) a=1 AND b=-10
(use the formula y-b=m(x-a) to find the equation of the line)
y-b=m(x-a)
(sub the values of m (the slope) and a&b (from the point)
y - (-10) = (-10) × ( x - 1 )
(simplify)
y+10=-10(x-1)
(expand the bracket)
y+10=-10x+10
(subtract 10 for both sides)
y=-10x+10-10
(simplify)
y=-10x
22.35 written form using proper words
twenty-two and thirty-five hundredths
Conversion Formulas
K = Cº + 273
What do you multiply 6 by in order to get -3
Answer:
-1/2
Step-by-step explanation:
Please include an explanation.
"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.
Answer:
a = 730.43
Step-by-step explanation:
The formula for this type of problem is [ a = kb²/c³ ].
We are given a = 171, b = 8 and c = 9.
Solve for k.
171 = k(8)²/(9)³
k = 1947.80
Solve for a since we found k using b = 9 and c = 6.
a = (1947.80)(9)²/6³
a = 730.425
Round to the nearest hundredth.
730.425 → 730.43
Best of Luck!
Answer:
730.42
Step-by-step explanation:
a varies directly with the square of b, and inversely with the cube of c. Therefore:
a = k b² / c³
where k is the constant of proportionality.
a = 171 when b = 8 and c = 9. So the value of k is:
171 = k (8)² / (9)³
k ≈ 1947.8
So the value of a when b = 9 and c = 6 is:
a = 1947.8 (9)² / (6)³
a ≈ 730.42
Which of the following fraction is an equivalent fraction for 2/7?
1. 8/11
2. 10/28
3. 6/21
4. 4/7
Answer:
6/21
Step-by-step explanation:
6/21 can be divided by 3 to equal 2/7
Answer:
the answer is c 6/21
Step-by-step explanation:
can i please have brainiest
write an equation to solve for x. what is the value of x none of this makes any sense to me at all so if y'all get it right amen will mark brainiest this is so hard ty so much
Answer:
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180 x = 20Step-by-step explanation:
add all internal angles
∠H + ∠I + ∠J = 180
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180
combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9
simplify: 10x = 200
divide 10 both sides: x = 20
y - 5 = 1/10 (x – 10)
How do you rewrite the equation in slope-intercept form?
Answer.
Y=|10x-100|+5
For the function h (2) = 9+ 6x , what is the domain of function h if the range is
{-12, -3, 15, 24}?
Answer:
x = 1/6 (h(2) - 9), h(2) element R