Answer:
Explained below.
Step-by-step explanation:
The scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida are,
Season 1: {75, 79, 80, 78, 76, 74, 76, 78}
Season 2: {72, 71, 76, 78, 86, 81, 72, 80}
(a)
Compute the mean and standard deviation of the golfer's scores as follows:
Season 1:
[tex]\bar x_{1}=\frac{1}{n_{1}}\sum x_{1}\\\\=\frac{1}{8}\times 616\\\\=77[/tex]
[tex]s_{1}=\sqrt{\frac{1}{n-1}\sum(x_{1}-\bar x_{1})^{2}}\\\\=\sqrt{\frac{1}{8-1}\times 30}\\\\=2.0702\\\\\approx 2.07[/tex]
Season 2:
[tex]\bar x_{2}=\frac{1}{n_{2}}\sum x_{2}\\\\=\frac{1}{8}\times 616\\\\=77[/tex]
[tex]s_{2}=\sqrt{\frac{1}{n_{2}-1}\sum(x_{2}-\bar x_{2})^{2}}\\\\=\sqrt{\frac{1}{8-1}\times 194}\\\\=5.26444\\\\\approx 5.26[/tex]
(b)
The primary difference in performance between the two seasons is:
[tex]\text{Diff} = \bar x_{2}-\bar x_{1}\\\\=5.26-2.07\\\\=3.19[/tex]
5.2.21-T
Question Help
Assume that when adults with smartphones are randomly selected 44%use them in meetings or classes. If 17 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in
Meetings or classes
Answer:
0.004398
Step-by-step explanation:
Given that:
p = 44% = 0.44
Number of trials (n) = 17
Probability that exactly 2 of them use smartphones in meetings or classes =?
Using the binomial probability formula :
P(x = 2)
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 2) = 17C2 * 0.44^2 * 0.56^15
P(x = 2) = 136 *0.1936 * 0.0001670399
P(x = 2) = 0.00439809
P(x = 2) = 0.004398
2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>
Answer:
j
Step-by-step explanation:
We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.
(3-3,7-7) = (0,0)
(-5-3,-3-7) = <-8,-10>
Hope this helps!
The Student Council sold the following items at the home football game. A B C D E F 1 Item Number Price Income Cost Per Sold Item 2 lollipops 85 $0.25 $21.25 $0.12 3 Gummies 48 $0.35 $16.80 $0.18 4 Bubble Gum 79 $0.45 $35.55 $0.22 5 Combos 46 $0.55 $25.30 $0.26 $ $ $ 16! DHE $ 6. TOTAL $50.72
If n stands for number sold and c stands for cost per item, in which column would you use the formula: n x c?
A; Column D
B: Column E
C: Column F
D: Column G
Answer: D: Column G
Step-by-step explanation:
If n is the number of items sold and c is the cost per item, multiplying n and c would give the total expenses for selling that item.
As expenses are in column G, this is therefore the right column to use n * c.
This is can be proven by using the Lollipops as an example.
n = 85
c = $0.12
n * c = 85 * 0.12 = $10.20
$10.20 is the amount of expenses for lollipops in Column G so Column G must be right.
Which of the following is not a rate?
35km/5 min 240miles/8 miles 95 words/1 minute 16oz/1 lb
Answer:
240 miles/ 8 miles
Step-by-step explanation:
you can't measure a mile per mile (/=per)
What is the area of the trapezoid?
Answer:
a+b/2×h=56
Step-by-step explanation:
thanks needed.......
Would the space in between 2 transversals be an interior angle?
Answer:
When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes
Step-by-step explanation:
sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?
Answer:
$8,400=amount of loan
Step-by-step explanation:
Key:
P=Money borrowed
T=5 years (time passed)
R=0.025 (interest rate)
I=$1050 (interest charged)
Formula: I=P*R*T
Work:
1,050=P*0.025*5
1,050=P*0.125
1,050/0.125=8,400
Check
8,400*0.025*5=1,050
(thank you 7th grade math last year haha)
if 126 base n is equal to 86 find the positive value of n
If 126n = 86, find a positive value for n
Answer:
0.68?
Step-by-step explanation:
I am not from English speaking country so I am not sure about the first sentence but the second
126n = 86 | /126
n = 86/126
n ≈ 0,68
Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.
There's a picture of a circle with the radius of 21 cm
Picture of the circle:
Answer:
65.94cm
Step-by-step explanation:
The two equivalent equations to find the circumference of a circle are:
Circumference = 2 * pi * radius
Circumference = pi * diameter
Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:
Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm
Grocery store sells tangerines in 2/5 kg bags. A customer bought 4kg of tangerines for a school party. How many bags did he buy
In order to have 4 kg, he must have 20/5 kg. Each bag is 2/5 kg, so 2/5 times 10 is 20/5 or 4kg. Therefore, he bought 10 bags of tangerines for the school party.
Name an equivalent ratio for with a denominator of 8.
Please select the best answer from the choices provided
A: 4/8
B: 1/8
C: 5/8
D: 3/8
Answer:
(A)
Step-by-step explanation:
4+4=8,4/8 is an equalivent ratio. So the best answer would be A!
Hope this helps:)!
What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2
Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
progably B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
40 points i will crown. A, B, C, or D.
Answer:
C. x > -3
Explanation:
The circle with no filling means it can not be equal
It goes ahead of -3 so it is greater than -3
Order the following expressions by their values from least to greatest.
PLEASE ANSWER NOW FOR TESTT!!!
Answer:
l , k , j
Step-by-step explanation:
j is near to 1 so, j has greatest value
k has second great value
l has negative value
So,
l has least value also negative value.
Given: FG is an median. What can you conclude?
Answer:
The last option line DG is congruent to line GE
Step-by-step explanation:
Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side
So basically G is the midpoint of DE because FG is the median.
The last option, we can conclude that line DG is congruent to line GE
What is median?Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
We are given that FG is an median.
Thus, basically G becomes the midpoint of DE because FG is the median.
So, DG = GE
Hence,
The last option, we can conclude that line DG is congruent to line GE
Learn more about median;
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how many times larger is 2.4 x 10^8 than 6 x 10^7?
Please help me with this problem will give branlyiest.
Mr. Thompson, a retiree, looks at his check register. What is Mr. Thompson's yearly rent (using 12 months)? $______ What was the average grocery expense in this time period? $_________ Knowing that he buys groceries weekly, Mr. Thompson estimates his yearly expense for groceries to be (4*12* $______ or $_____ Then, Mr. Thompson realizes there are more than 48 weeks in a year. He revises his estimate using (52 x $______ to get $_______ for his estimate. Based on the calculations above, how much money should Mr. Thompson budget annually for food and rent? $______ If Mr. Thompson receives $1,006.28 twelve (12) times a year, what is his yearly income? $_______ Expressed as a percent of income, enter an estimate for rent (to the nearest tenth) and food expenses. Rent: ______%; Food: _____%
Answer:
$2459.04
$32.31
$33.45 or $34.92
$32.31
$1680.12
$4139.16
$12075.36
20.4% and 3.2%
Step-by-step explanation:
Monthly rent is 204.92, so yearly rent is 204.92 * 12 = 2459.04
His average grocery expenses is the sum of all the grocery expenses, divided by the number of times he did them
33.45 + 34.92 + 28.56 = 96.93
96.93 / 3 = 32.31
33.45 or 34.92
Since he's revising the calculation, and he does groceries once a week, we will multiply the average he spent on grocery by the 52 weeks he's using in calculations. So, 32.31
The estimate for grocery in a year is,
52 * 32.31 = 1680.12
His annual budget for food and rent would be adding the estimated amount he's to spend on grocery together with the estimated amount he's to spend on rent
2459.04 + 1680.12 = 4139.16
If he receives 1006.28 in a month, multiplying by 12 would give us the estimate he's to receive in a year.
1006.28 * 12 = 12075.36
Percentage
Rent = 204.92 / 1006.28 * 100%
Rent = 20.4%
Food = 32.31 / 1006.28 * 100%
Food = 3.2%
Don't forget the brainliest :)
WDGWADgawYd awIdwaiudwaiudgaidgawida
Simplify:
9x/2 - 4x - 3 = ?
Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].
Step-by-step explanation:
help meeeee pleaseeee
If rick buys a remote control car of $34.00 what is the selling price
Answer:
Step-by-step explanation:
Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00
Answer:
$34.00
Step-by-step explanation:
if he get it for $34.00 so the selling price is $34.00
1 hundred 8 million 4 hundred 4 thousand translate
Answer:
800,004,500
Step-by-step explanation:
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange
Answer:
$0.44 each
Step-by-step explanation:
3.08/7 = 0.44
The required cost in dollars per orange is $0.44.
Given that,
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange is to be determined.
The ratio can be described as the proportion of the fraction of one amount towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with a number of functions according to the statements.
here,
Let the cost of 1 orange = $x
The grocery store sells a bag of 7 oranges for $3.08.
So for 1 orange,
x = 3.08 / 7
x = $ 0.44
Thus, the required cost in dollars per orange is $0.44.
Learn more about ratios here:
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An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management
Answer:
Step-by-step explanation:
Here are the missing values;
Mean μ = 15.5 minutes
Standard deviation = 1.7 minutes
A Random sample of 90 completion
The sample mean = 15.4 minutes
Level of significance = 0.1
Then the following analysis can be made on the above study.
Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]
the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]
Since, the value is less than, then this is a one-tailed test.
The Z test statistics can be computed as:
[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]
[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]
[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]
Z = −0.560
The critical value of Z at 0.1 level of significance is:
[tex]Z_{0.1} = -1.28[/tex]
Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28
Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.
Find f(2) If f(x) = (x + 1)2.
Answer:
f(2)=9
Step-by-step explanation:
Help please an someone explain this to me i'm confused
Answer:
Jesus I can't help, I would take the educational guess if I was you
Step-by-step explanation:
Consider the figure below. If ∆ABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C’ ?
Answer: -7
Step-by-step explanation:
I’m doing the test
Please help! I’ll give brainlest. Idk the answer bruh it’s for a grade :/
Which scenario could be represented by this graph?
A. After realizing that the house is cold Harry turns up the thermostat the temperature of the house gradually increases at constant rate the x-axis represents time the y-axis represents temperature
B. After realizing the house is too warm Harry turns on the air conditioner the temperature of the house gradually decreases at constant rate the x-axis represents time the y-axis represents temperature
C. The house temperature rises until it reaches the thermostat temperature and then it remains constant the x-axis represents time the y-axis represents the temperature
D. Harry runs the window air conditioner until the temperature falls to a comfortable level the x-axis represents time the y-axis represents temperature
Answer:
A
Step-by-step explanation:
Process of elimination.
It can't be B or D cause those say that the temp go down while in your graph it goes up, and C is saying that it rises and becomes constant while in your graph it's the other way around.
Answer:
A.
Step-by-step explanation:
I said so
I need help i dont understand any of this
Step-by-step explanation:
multiply all the fractions together in your calculator :)
What is 1/2x1/2 in fractions?
The requried multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts.
To multiply fractions, you simply multiply the numerators together and the denominators together.
The multiplication of 1/2 and 1/2 is calculated as follows:
(1/2) * (1/2) = (1 * 1) / (2 * 2)
= 1 / 4
Therefore, the multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts, it's equivalent to multiplying 1/2 by 1/2.
Learn more about multiplication here:
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