Answer:
Variance = 3.9
Standard deviation = 1.975
p(x > 72) = 0.38482
Step-by-step explanation:
Given that :
Mean number (μ) of strokes per hole is approximately 3.9
For a poisson distribution :
σ² = μ
Hence,
Variance (σ²) = μ = 3.9
The standard deviation σ = √(σ²)
σ = √3.9 = 1.9748417
Poisson distribution relation :
p( x = x) = (λ^x * e^-λ) / x!
For an 18-hole round :
λ = 18 * 3.9 = 70.2
Using the poisson distribution calculator ; where λ = 70.2 ; x = 72
p(x > 72) = 0.38482
Example 3.7.4: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares
Answer:
The smallest possible value of the sum of their squares is 128.
Step-by-step explanation:
Let the first number = x
let the the second number = y
x + y = 16
y = 16 -x
minimum value, f = x² + y²
f(x) = x² + (16-x)²
f(x) = x² + 256 - 32x + x²
f(x) = 2x² - 32x + 256
f(x)' = 4x - 32
4x - 32 = 0
4x = 32
x = 32 / 4
x = 8
The absolute minimum value of x = 8
y = 16 - x
y = 8
The smallest possible value of the sum of their squares is given by x² + y²;
= (8)² + (8)²
= 128
Therefore, the smallest possible value of the sum of their squares is 128.
Pls help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
Can someone please help, ty!!
(Will mark brainliest)
Answer:
Arcadia
Step-by-step explanation:
the line in the box is the median and Arcadia is bigger than Millersburg
A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Returns
Total sold
Brand A
33
685
Brand B
15
492
Brand C
29
361
Brand D
31
766
Which brand should the store eliminate?
O A. Brand B
O B. Brand D
O C. Brand C
O D. Brand A
Answer: They should eliminate Brand C
Step-by-step explanation:
You need to divide the total returns by the total sold to which Brand has the greatest percentage returned.
The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C
How to Solve Percentage Problems?To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.
Brand A percentage = [tex]\frac{33}{685}[/tex] × 100 = 4.81%
Brand B percentage = [tex]\frac{15}{492}[/tex] × 100= 3.04%
Brand C percentage = [tex]\frac{29}{361}[/tex] × 100 = 8.03 %
Brand D percentage = [tex]\frac{31}{766}[/tex] × 100 = 4.04%
Brand C has the highest percentage and as such it is the brand that should be eliminated.
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FIRST TO HELP IS BRAINLIEST
Answer:
(0,2)
Step-by-step explanation:
Point Q' is the image of Q(-7,-6) under the translation (x, y) + (x+12, y + 8).
What are the coordinates of Q'?
Answer:its b
Step-by-step explanation:i took the test
8.9 x 7 can u solve it with work shown
Answer:
62.3
Step-by-step explanation:
6
8.9
*7
____
62. 3
I tried to show how to do it but carry the 6 at the top
Answer:
64 (I rounded btw)
Step-by-step explanation:
8.9 × 7 = ??
1. Round 8.9
2. 8.9 can be rounded to 9
3. change equation
4. 9×7= 63
Thus, your answer is 63
(If your supposed to do the math differently tell me and I'll correct it)
5x-6y=-4
-6x+6y=-6
solve using elimination
HELP.
Answer:
x=10 y=9
Step-by-step explanation:
Find the value of X. Geometry!!!
Answer:
D. 19
Step-by-step explanation:
x+5 has to equal half of the base(3x-9)
I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24
48/2=24 Therefore, the answer is D, 19
|2| + |-13| =
BRAINLIST AND EXTRA POINTS
Answer:
15
Step-by-step explanation:
|2| + |-13| =
2+13
15
Answer:
I think I might be 15Step-by-step explanation:
I looked it up on google
7 large tanks and 40 fish in each tanks how many fish on display
Answer:
280
Step-by-step explanation:
All you have to do is 7x4 and look for how many 0's there are in the equation and add them on.
Write down step by step the process that you use
to solve multiplying a fraction by an integer.
Answer:
you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the denominator goes where the numerator is.
Step-by-step explanation:
Write a integer for each situation. Explain the meaning of zero in each situation.
1. 3 miles below sea level
2. Earning $45
Help please ASAP will mark brainliest!!
Answer:
y=4x-7
Step-by-step explanation:
y=4x+6 (1,-3)
y=mx+b
m= 4 (1,-3)
y-(-3)=4(x-1)
y+3=4x-4
-3 -3
y=4x-7
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
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A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from shore in a function
Answer:
List all of the solutions.
50 k m =
9 m i n u t e s =
14 k m =
Step-by-step explanation:
Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
Help meeeeeee! If it’s correct you will get a something good!
Answer:
24/4=6
Step-by-step explanation:
In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.
HTH :)
The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)
Answer:
The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).
I hope this helps!
Step-by-step explanation:
geometry is experienced that in the early childhood setting through
playing with blocks??
What is the solution to the inequality 7<=-3x-4
Answer:
The nearest option is -3 (negative 3)
So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality [tex]7 \leq -3x-4[/tex]
Solving:
Step 1: Switching sides of inequality and reversing the inequality
[tex]-3x-4\geq 7[/tex]
Step 2: Adding 4 on both sides
[tex]-3x-4+4\geq 7+4\\-3x\geq 11[/tex]
Step 3: Dividing both sides by -3 and reversing the inequality
[tex]\frac{-3x}{-3}\leq \frac{11}{-3} \\x\leq -3.6\\[/tex]
The nearest option is -3 (negative 3)
So, Option B is correct.
6th grade math I mark as brainliest
Answer:
false
Step-by-step explanation:
Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401
so
[tex]16^1[/tex] would just be sixteen because any number to the power of 1 is that number
[tex]8^2[/tex] is 8*8 which gives us 64,
16 does not equal 64, so its
False
if the bathtube holds 46.2 gallons How many mints will it take to fill the whole tub
Answer:
takes 3 minutes
Step-by-step explanation:
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
On a coordinate plane, point B is at (negative 5, 2). B is located at (−5, 2). If B is reflected across the y-axis, the coordinates will be . If B is reflected across the x-axis, the coordinates will be .
Answer:
the anwser is (5,2) and (-5,-2)
Step-by-step explanation:
8/9+ (-5/6) divided by 1/6
Answer:
fraction answer: 3/4
decimal answer: 0.75
What is the slope of the line represented by the equation 3x+4y=12?
Answer:
-3/4
Step-by-step explanation:
3x+4y=12
-3x -3x
4y=-3x+12
÷4 ÷4
y=-3/4x+12
Answer:
-3/4 or -0.75
Example:
Pi times 2444.57 divided by 344.5=?
Answer:
I think 22.2814177
Step-by-step explanation:
I used 3.14 that's what my teachers tell me to use sorry if it's wrong
Answer: 22.2927232313
Step-by-step explanation: *Pi = 3.14159265359
*3.14159265359 x 2444.57 = 7,679.84315319
*7,679.84315319 ÷ 344.5 = 22.2927232313
Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)
pls help :( plssss plsss pls
Answer:
you can alwayd use desmos for graphing
not sure need help
Answer:
192
Step-by-step explanation:
There are 2 ways of solving for <4
The first is just to add the 2 angles not connected to <4
<4 = 51 + 51 = 102
The second is to find <2 and take that away from 180
<2 + 51 + 51 = 180
<2 = 180 - 102
<2 = 78
<4 + <2 = 180 (They are supplementary
<4 = 180 - 78
<4 = 102
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold