A sports marketing company interviewed 250 Supersport United fans and has found that the average fan spends R101 on non-ticket purchases at the stadium when he/she attends a home match. This includes money spent on food, drinks and merchandise. Assume that the standard deviation is R39.
Find the lower and upper limits for the average amount spent on non-ticket purchases per match by Supersport United fans. Use a confidence level of 90%. Round off your answers to 2 decimal places (4)
The 90% confidence interval is between R96.94 and R105.06
The confidence (C) = 90% = 0.9, Mean (μ) = 101, standard deviation (σ) = 39, sample size (n) = 250
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 corresponds with the z score of 0.45 (0.5 - 0.05) which is equal to 1.645
The margin of error (E) is given by:
[tex]E=Z_\frac{\alpha }{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.645 *\frac{39}{\sqrt{250} } =4.06[/tex]
The confidence interval = μ ± E = 101 ± 4.06 = (96.94, 105.06)
Therefore the 90% confidence interval is between R96.94 and R105.06
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Explain how you can use doubles when
multiplying with 4 to find 4 X 8.
Multiplying by 4 using the doubles strategy utilizes the fact that 4 is double of 2. Hence, 4 time any number is double of 2 times that number. Thus, given 4 x 8, it can be evaluated using the double strategy as follows 2 x 8 + 2 x 8 = 16 + 16 = 32
Multiply 2 digit numbers with area models. 26x74
Answer:
26 x 74 is 1924
Step-by-step explanation:
Is just lining the numbers up.
Brianna wants to tie a red ribbon around Monkeyshines. The blue ribbon is yu
inch longer than the red ribbon. The yellow ribbon is 4 4 inches longer than the
blue ribbon. How long is the yellow ribbon? Color the ribbons.
inches long
18/2 inches long
17 74 inches long
Answer:
22 3/4 inches.
Step-by-step explanation:
First what I like to do is find least common denominator.
Since 2 of the ribbons are measured in /4's, and the other ribbon is measured by half ( /2). 4 will be your new denominator making the 18 1/2 in. long ribbon 18 2/4 inches.
Now, the Blue ribbon is 3/4 greater than the Red ribbon, making it the 18 2/4 inch ribbon.
The Yellow ribbon is 4 3/4 inches longer than the Blue ribbon which means add 4 3/4's to 18 2/4, and you get = 22 3/4 in. for the yellow ribbon.
Hopes this Help!
Overnight the temperature decreased by 17 1/2. If the temperature began at -3.6 what is the current temperature?
Answer:
The answer is -21.1 degrees
Step-by-step explanation:
You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!
6. The cost to download a normal movie is $15.00. New released movies
cost $18.00 to download. What is the percent of increase from a normal
movie download and the new releases?
Answer:
+20% increase
Step-by-step explanation:
(V2−V1)/|V1|×100
=(18−15)|15|×100
=315×100
=0.2×100
=20%change
=+20%increase
the percent of increase from a normal movie download and the new releases are $3.00
HELP ME PLEASE!! NO FAKE ANSWERS PLEASE!! :D ILL GIVE BRAINILEST FOR THE CORRECT ANSWER!!!!
Answer:
x=20
Step-by-step explanation:
It all equals 360º and there are two of each angle. So, we can add 5x+5x+(3x+20)+(3x+20)=360º. Subtracted 40 and simplify. So 16x=320.So divide by 16 and you get that x=20.
Find the exact value of sin
a little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. What is the little mermaid speed's in still water if the speed of the current is 4mph
A little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. The little mermaid speed's in still water is: 4/5 mile per hour.
The distance of the miles can be estimated by using the formula:
distance = speed rate × time
∴
[tex]\mathbf{time = \dfrac{distance}{ rate}}[/tex]
Let the current speed be = x
In the upstream direction;
the rate = swim speed - the current speed = 4 - xin the downstream direction;
the rate = 4 + x∴
[tex]\mathbf{t = \dfrac{8}{4 -x}= \dfrac{12}{4+x}}[/tex]
By cross multiply;
8 (4 + x) = 12 (4 - x)
32 + 8x = 48 - 12x
8x + 12x = 48 - 32
20x = 16
x = 16/20
x = 4/5 mile per hour
Therefore, we can conclude that the little mermaid speed's in still water is 4/5 miles per hour.
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Will get 70 points if you help me
Answer:
The x-intercept of Line A is (3,0) and the x-intercept of Line B is (4,0).
Therefore the x-intercept of Line A is -------------- the x-intercept of Line B
Step-by-step explanation:
Write an equation for the description
Tanmayi wants to raise $165 for a school fundraiser. She has raised $130 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Answer:
She needs $55 more dollars
Step-by-step explanation:
Answer:
[tex]m + 130 = 165 \\ m = 165 - 130 = 35 \: dollars[/tex]
Ana starts eating lunch at 12:15 pm she finishes eating lunch 49 mins later what lock shows the time that Ana finishes eating lunch
Answer:
What kind of problem? Multiplication? Division? What?
Step-by-step explanation:
Fin de range of the data 1 0 5 6 7 9 1 6
What is 99x99 - 8x8 + 25+
Answer:
9762
Step-by-step explanation:
5 5/8 divided by 1 1/2
Answer:
15/4
Step-by-step explanation:
Answer:
3 3/4
Step-by-step explanation:
cause its easy
In ΔFGH, g = 39 cm, h = 54 cm and ∠F=34°. Find the area of ΔFGH, to the nearest square centimeter.
Answer:
≈ 589 cm²
Step-by-step explanation:
area = 1/2 * 39 * 54 * sin34°
= 1/2 * 39 * 54 * 0.559194
= 588.83
≈ 589
What is the sum of the first 50 terms in the sequence 4,-4,4,-4,4...?
Answer:
0
Step-by-step explanation:
If there is an even number of 4 and -4s. They should all cancel each other out and equal 0.
What are 7 interesting facts or stories about Martin Luther king JR please answer
Answer:
I already answered it for you
Pythagorean theorem digital escape. Can you find the length and area and type the correct code
Answer:
HIAB
Step-by-step explanation:
I guess the letters are in order
70 percent of 38.20 is what
Answer:
26.74
Step-by-step explanation:
38.20 x 0.70
= 26.74
Hey ! Can anyone help me with this problem please thank you !!
Answer:
2
Step-by-step explanation:
7x + 3 = 8x + 1
2 = x
these are geometry problems.
7. Write 1.07 x 103 in standard form.
Answer:
if its 1.07 x 10^3 its 10,70
Step-by-step explanation:
71 degrees Determine the value of x.
A) 109 degrees
B) 71 degrees
C) 142 degrees
D) 35.5 degrees
Answer:
A) 109 degrees
The answer is 109 degrees because each opposite angle added equals 180°. 180-71= 109
Good luck on your assignment ⊂(◉‿◉)つ
Last quarter Rachel earned a grade of 92. This quarter she earned an 88. What is the percent decrease in her grade?
Answer:
[tex]$4.\overline{54}[/tex]
Step-by-step explanation:
The percent decrease is [tex]$92/88-1=23/22-1=1/22=4.5454545...$[/tex].
So, the answer is [tex]$\boxed{4.\overline{54}}$[/tex] percent decrease.
Set the mean and standard deviation to 0 and 5 , respectively. Approximately 5% of the area under the normal curve lies to the right of 8.2 . Consider what would happen if you were to change the mean to 50 and keep the standard deviation at 5 . Can you predict the new value for which approximately 5% of the area under the normal curve lies to the right of this value? Enter your answer accurate to one decimal place.
Using z-scores and the normal distribution, it is found that the new value would be of 58.2.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which is the area to the left of Z under the normal curve.The area to the right of Z is 1 subtracted by the p-value of Z.In this problem:
Mean of 50 and standard deviation of 5, thus [tex]\mu = 50, \sigma = 5[/tex].Area to the right of 0.05, thus Z with a p-value of 1 - 0.05 = 0.95, thus [tex]Z = 1.645[/tex].We have to find the value of X, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 50}{5}[/tex]
[tex]X - 50 = 1.645(5)[/tex]
[tex]X = 58.2[/tex]
A similar problem is given at https://brainly.com/question/15583760
PLEASE HELP WILL MARK BRAINIEST!! TY!!
[tex]y = -3x + 27[/tex]
Step-by-step explanation:
A parallel line will have the same slope as the given line so we can write the slope-intercept form of the equation as
[tex]y = -3x + b[/tex]
Since the other line goes through the point (9, 0), we can use this to solve for b:
[tex]0 = -3(9) + b \Rightarrow b = 27[/tex]
Therefore, the equation of the parallel line that goes through (9, 0) is
[tex]y = -3x + 27[/tex]
help please this is kinda difficult .
im pretty sure that the slope for both lines would be 2
A notice of use and disclosure is required for a) patients whose personal health information the doctor intends to disclose. b) every patient a doctor treats. c) patients treated for sensitive conditions, such as substance abuse or mental illness. new patients, but not established patients.
heelp me pls pls
Answer:
b
Step-by-step explanation:
help pls asap math problem
Answer:
PHOTO MATH KANALANG
Step-by-step explanation:
BAKA MERON ANS DON
Worth 35 points and Ill give brainliest to corrects answer Please help!
1. Which statement best represents how structure relates to function?
A. The average dog can learn approximately
B. Oppsable thumbs in humans and certain other animales for fine control of gripled objects.
C. Fruit flies live for only 40 to 50 days. D. Robins build nests in trees.
2. who is studying a newly discovered animal, a scientist observes that the animal chance to have one or two Offspring at a time only once or twice per year.
Which type of life history does this animale use?
A. R-Strategy
B. K-Strategy
C. Logistic growth
D. Asexual reproduction
Answer:
The
Answer
for
1
might
be
B
and
answer
for
number
2
is
c
I
think