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
Find the slope of the linear function.
Step-by-step explanation:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
S
T
80°
70
Find the measure of RST.
A)
20
B)
30°
40°
D)
60°
Answer:
D
Step-by-step explanation:
If its right let me know I think this is right
A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on the clock is less than 25.
Answer:
0
Step-by-step explanation:
there is a maximum of 24 hours in a day and the highest we can have is 23:59.. it's impossible for it to be the 25th hour in a day
Which equation represents table 1
Which equation represents table 2
Which equation represents table 3
Which equation represents table 4
Which equation represents table 5
Answer:
1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x
Step-by-step explanation:
Answer:do yo use I’ll need help
Step-by-step explanation:
Describe the shape of the distribution.
O A. It is uniform.
B. It is bimodal.
O C. It is symmetric.
D. It is skewed.
Answer:
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums.
Answer: It is Skewed
Step-by-step explanation: More positive space than negative. So it is positively skewed.
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
Answer:
£1.44
Step-by-step explanation:
11.52/8=1.44
:)
Answer:
I think the answer is $1.44 each necklaces
Step-by-step explanation:
We know the total amount is $11.52 and there were 8 candy necklaces, so you divide 11.52 by 8 and that gives you 1.44
A 20-inch-long piece of rope is approximately 0.5 meters long.
What is the length, in inches, of a rope that is 2.5 meters long, rounded to the nearest tenth? Enter the answer in the box.
inches
Answer:
100 inches
Step-by-step explanation:
Given
20 inch ≈ 0.5 m
Required
Determine the equivalent of 2.5m in inches
The question illustrated conversion between units of same measurements.
And we have that:.
20 in ≈ 0.5 m
Which can be rewritten as:
0.5 m ≈ 20 in
To solve further, we multiply both sides by 5
0.5 m * 5 = 20 in * 5
2.5 m ≈ 100 in
Hence, we can conclude that the 2.5m rope is approximately 100 inches long
The 2.5m rope is approximately 100 inches long
We have to given that,
20 inch ≈ 0.5 m
And, To Determine the equivalent of 2.5m in inches.
Since, It is illustrated conversion between units of same measurements.
And we have that;
20 in ≈ 0.5 m
Which can be rewritten as:
0.5 m ≈ 20 in
we multiply both sides by 5
0.5 m x 5 = 20 in x 5
2.5 m ≈ 100 in
Hence, we can conclude that the 2.5m rope is approximately 100 inches long.
Learn more about the multiplication visit:
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Select the correct answer. What is the factored form of 24y5 + 3y?? A. 3y2(2y- 1)(4y2 + 2y + 1) B. 3y2(2y + 1)(4y2 - 2y + 1) C. (2y + 1)2(4y2 - 2y+ 1) D. (2y-1)2(4y2 + 2y + 1)
Answer
3y^2\left(2y\:+\:1\right)\left(4y^2\:-\:2y\:+\:1\right)
Step-by-step-explanation
Answer:
I think the answer is b the person who answered may have worded it weird but from trying to read it it looks like b so
If sin tetha=root3/2, what is cos tetha?
Answer:
The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
sin²Ф + cos²Ф = 1sin²Ф = 1 - cos²Фcos²Ф = 1 - sin²Ф∵ sin Ф = [tex]\frac{\sqrt{3}}{2}[/tex]
∴ sin²Ф = [tex](\frac{\sqrt{3}}{2})^{2}[/tex]
∴ sin²Ф = [tex]\frac{3}{4}[/tex]
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - [tex]\frac{3}{4}[/tex]
∴ cos²Ф = [tex]\frac{1}{4}[/tex]
→ Take square root for both sides
∴ cos Ф = ± [tex]\frac{1}{2}[/tex]
∴ The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
A band expects to put 16 songs on their next CD. The band writes and records 12.5% more songs than they expect to put on the CD. During the editing process,50 % of the songs are removed. How many songs will there be on the final CD?
The first 3 terms of n+7
Answer:
First 3 terms of the sequence are:
8,9,10
Step-by-step explanation:
The nth term of a sequence is n+7 .
We have to find the first three terms of the sequence
First term(n=1) = 1+7 =8
Second term(n=2) = 2+7 =9
Third term(n=3) = 3+7 =10
Hence, first 3 terms of the sequence are:
8,9,10
HELP ME OUT REAL FAST WITH THE CORRECT ANSWER WILL MAKE BRAINLIST
Answer:
1
Step-by-step explanation:
Answer:
B. 1
Step-by-step explanation:
The quotient will have 1 decimal place because one of the numbers in the calculation has one decimal place, and the answer is only allowed to be as exact as the numbers used in the equation.
To make sure the answer is correct, we can do the math:
170.8/14 = 12.2
12.2 only has one decimal place, so answer choice B is correct.
Hope this helps :)
PLS HELP!!
What is x
Answer:
2
Step-by-step explanation:
Indicate whether the lines are parallel, perpendicular, or neither. Justify your answer. y=52x-3 and 2y= -5x
-4 2x+8y= -24and 48y = -12x-144
2x-7y= -56and 7x+2y=8
After eating at your favorite restaurant, you know that the bill before tax is
$52.60 and that the sales tax rate is 6%. How much will you pay in taxes for
this meal?
Answer:
$3.16
Step-by-step explanation:
6% x $52.60 = $3.16 (2dp)
Topic: Percentage
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If you use 2 cups of sugar for every 3 cups of lemon juice how many cups of sugar do you need for 9 cups of juice
Answer:
6 cups of lemon juice
Step-by-step explanation:
Can someone help I don’t know the answer
Find the solutions in the interval [0, 2π). (Enter your answers as a comma-separated list.)sec θ − tan θ = cos θ
Answer:
π/2Step-by-step explanation:
Given the expression;
secθ − tan θ = cosθ
We are to find the solution in the interval [0, 2π).This is as shown;
From trigonometry identity;
secθ = 1/cosθ
tanθ = sinθ/cosθ
Substitute into the formula;
secθ − tan θ = cosθ
1/cosθ-sinθ/cosθ = cosθ
Multiply through by cosθ
1 - sinθ = cos²θ
1-sinθ = (1-sin²θ)
1-sin²θ-1+sinθ =0
-sin²θ+sinθ = 0
sin²θ = sinθ
sinθ = 1
θ = arcsin 1
θ = 90
θ = π/2
Hence the solution is π/2
The equation is an illustration of trigonometry ratios and identities
The solution in the interval [0, 2π) is [tex]\mathbf{\theta = \frac{\pi}{2}}[/tex]
The equation is given as:
[tex]\mathbf{sec\theta - tan \theta = cos\theta}[/tex]
In trigonometry identity, we have:
[tex]\mathbf{sec\theta = \frac{1}{cos\theta}}[/tex]
and
[tex]\mathbf{tan\theta = \frac{sin\theta}{cosθ}}[/tex]
So the equation becomes
[tex]\mathbf{\frac{1}{cos\theta} -\frac{sin\theta}{cos\theta} = cos\theta}[/tex]
Multiply through by cosθ
[tex]\mathbf{1 - sin\theta = cos\²\theta}[/tex]
In trigonometry,
[tex]\mathbf{cos\²\theta = 1 - sin^2\theta }[/tex]
So, we have:
[tex]\mathbf{1-sin\theta = 1-sin\²\theta}[/tex]
Subtract 1 from both sides
[tex]\mathbf{sin\theta = sin\²\theta}[/tex]
Divide both sides by [tex]\mathbf{sin\theta}[/tex]
[tex]\mathbf{1 = sin\theta}[/tex]
Rewrite as:
[tex]\mathbf{sin\theta = 1}[/tex]
Take arc sin of both sides
[tex]\mathbf{\theta = sin^{-1}(1)}[/tex]
This gives
[tex]\mathbf{\theta = \frac{\pi}{2}}[/tex]
Read more about trigonometry ratios at:
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the area of the trapezoid is 176 cm^2. The height is 16 cm and the length of one of the parallel sides is 9 cm. Find the length of the second parallel side
Answer:
44,55,77
Ratio is 11/1
Step-by-step explanation:
176=4x+5x+7x
176=16x
11=x
44,55,77
Step-by-step explanation:
Heights were measured for a random sample of 10 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 46 centimeters and 7 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 45 centimeters? Use the 0.05 level of significance.
Answer:
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
Step-by-step explanation:
Step( i ):-
Heights were measured for a random sample of 10 plants
Size of the sample 'n' = 10
Mean of the sample (x⁻ ) = 46 centimeters
Standard deviation of the sample (s) = 7 centimeters
Mean of the Population ( μ ) = 45
Step(ii):-
Null Hypothesis :H₀:( μ ) = 45
Alternative Hypothesis : H₁: μ ) ≠ 45
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{46-45}{\frac{7}{\sqrt{10} } }[/tex]
t = 0.452
Degrees of freedom
γ = n-1 = 10 -1 = 9
t₀.₀₅ = 2.2621
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
HELP HELP
Yesterday,
5
of the 64 students in a contest gave their speeches. How many students gave their speeches?
8
A family wants to make a %20 down payment on a house that cost 200,000 what is the amount of the down payment
Answer:
40
Step-by-step explanation:
Sorry if it’s blurry it’s hard to take pictures of a computer screen lol im not very good at this subject in math so all help is appreciated :D
Answer:
If they are similar triangles then the ratio AE:BE equals the ratio DE:BCThe ratio AE:BE can be written as the fraction [tex]AE:BE=\frac{AE}{BE}= \frac{9cm}{BE}[/tex] The ratio DE:BC can be written as the fraction [tex]DE:BE=\frac{DE}{BE}=\frac{6cm}{16cm} =\frac{3}{8}[/tex] [tex]AE:BE=DE:BC\\\frac{9cm}{BE}=\frac{3}{8} \\BE*3=8*9cm\\BE*3=72cm\\BE=24cm[/tex]Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the coat to $84.24. Which of the following equations would give the original price ( p ) of the coat?
Answer:
84.24 - 6.24 = p
Step-by-step explanation:
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly selected, find the probability that
a. Exactly 13 of them major in STEM.
b. At most 12 of them major in STEM.
c. At least 9 of them major in STEM.
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
Answer:
0.12995
0.47508
0.0841
0.738
Step-by-step explanation:
Given that:
Percentage of STEM (p) = 27% = 0.27
Sample size (n) = 47
Using Normal approximation :
Mean (m) = n*p = 47 * 0.27 = 12.69
Standard deviation (s) = √(n*p*q)
q = 1 - p = 1 - 0.27 = 0.73
Standard deviation (s) = √(47*0.27*0.73) = 3.04
a. Exactly 13 of them major in STEM.
P(12.5 < x < 13.5)
USing the z formula :
(x - m) / s
(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04
-0.0625 < z < 0.2664
Using the z probability calculator:
P(Z < - 0.0625) = 0.47508
P(Z < 0.2664) = 0.60503
0.60503 - 0.47508
= 0.12995
b. At most 12 of them major in STEM.
P(X ≤ 12.5)
Zscore = (x - m) / s
Zscore = (12.5 - 12.69) / 3.04
Zscore = −0.0625
P(Z ≤ - 0.0625) = 0.47508
c. At least 9 of them major in STEM.
P(X ≥ 8.5)
Zscore = (x - m) / s
Zscore = (8.5 - 12.69) / 3.04
Zscore = −1.378
P(Z ≤ - 1.378) = 0.0841
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04
-1.378 ≤ z ≤ 0.924
Using the z probability calculator:
P(Z ≤ 0.924) = 0.82226
P(Z ≤ - 1.378) = 0.084102
0.82226 - 0.084102
= 0.738
A store has been selling 200 DVD burners sold per week at 400 each. A market survey indicates that for each $ 20 rebate offered to buyers, the number of units sold will increase by 40 a week. Find the demand function and the revenue function. How large a rebate should the store offer to maximize its revenue
Answer:
The answer is "50".
Step-by-step explanation:
Let,
[tex]\to p(200) = 400[/tex]
If we assume the $20 reduction would raise the number of items sold to $40 so the increment is (x - 200) if x is the number of units sold.
[tex]\to (\frac{1}{40}) \times 20 = 0.5[/tex]
[tex]\to D(x) = 400 - 0.5 \times ( x - 200 ) \\\\ \ and \\ \to R(x) = x \times (D(x) \\\\[/tex]
[tex]= x \times [ 400 - 0.5\times ( x - 200 )]\\\\ = x\times[400 - 0.5x - 100]\\\\= x\times [300 - 0.5 x]\\\\= 300x - 0.5 x^2[/tex]
[tex]R(x)= 300x- \frac{1}{2} x^2\\\\R'(x)=300-x\\[/tex]
if R'(x)=0
x=300
if 0 < x < 300 and R(x) > 0 then R(x) for maximum x is = 300
[tex]D(300) = 400 - 0.5\times ( x - 200 )\\\\[/tex]
[tex]= 400 - 0.5\times ( 300- 200 )\\\\ = 400 - 150+ 100\\\\ = 500 - 150 \\\\=350[/tex]
The rebate must be : 400 - 350 = 50
Which inequality relates BC and XY?
Answer:
BC>XY
Step-by-step explanation:
BCs angle is less than XYs angle
Lauren has a balance of $60 in your checking account. She spends $80 a day for 3 days vacationing at the beach. What is Laurens new balance in her checking account after her vacation?
Based on Lauren's spending patterns and the balance in her account, her new balance must be an overdraft of $180.
Lauren Balance after Vacation
Her balance after the vacation can be found as:
= Balance before vacation - ( Amount spent)
= 60 - ( 80 x 3)
= 60 - 240
= -$180
In conclusion, she will have a bank overdraft of $180.
Find out more about bank overdrafts at https://brainly.com/question/8283687.
A baseball team practices 4 times a week. Each practice lasts for 115 minutes. The team practiced for 12 weeks during the season.
Part A
How many hours did the team practice during the entire season?
*HINT: Remember that there are 60 minutes in one hour.
Answer:
Your answer would be 92 Hours
Step-by-step explanation:
4 x 115 = 460
460 x 12 = 5,520
5,520 ÷ 60 = 92
Therefore your answer would be 92
When a pentagonal spinner is spun, it lands on one of 1, 2, 3, 4, or 5. If this spinner is spun
twice, what is the probability of it landing on even numbers on both the occasions?
A) 4/25
B) 6/25
C) 1/5
D) 9/25
Please help me
Answer:
1/5
Step-by-step explanation: