Answer:
The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.
Step-by-step explanation:
The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.
What is the probability?Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times
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9. The circumference of a circle is 601 cm. What is the diameter of the circle?
O 120 cm
90 cm
30 cm
60 cm
Answer:191.4 cm
Step-by-step explanation:
Circumference=601 cm
π=3.14
Diameter=circumference ➗ π
Diameter=601 ➗ 3.14
Diameter=191.4 cm
Marie made the box plot below to display a set of data. Which set of data could the box plot represent?
Answer:
see below
Step-by-step explanation:
First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.
Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.
The data set of the 3rd choice matches the box plot extremes, median, and quartile values.
Answer:
The third choice, (5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.
Step-by-step explanation:
An architect is designing a triangular shaped plot of land. The base of the land is 100.8 ft and the height of the land is 96.3 ft. Find the available floor area of the building. Type your answer. Do not include a label, just the numbers.
Answer:4853.52
Step-by-step explanation:
base=100.8ft
Height=96.3ft
Area of =(base x height) ➗ 2
Area of =(100.8x96.3) ➗ 2
Area of =9707.04 ➗ 2
Area of =4853.52
i need help with this problem x/56=7/8 Thank you
[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]
Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. Suppose last night you slept for 5 hours. How many standard deviations are you from the mean? Please round to the second decimal point.
We have been given that the typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. Suppose last night you slept for 5 hours.
We will use z-score formula to solve our given problem as z-score tells a data point is how many standard deviation from the mean.
[tex]z=\frac{x-\mu}{\sigma}[/tex], where,
z = z-score,
x = Random sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
Upon substituting our given values in z-score formula, we will get:
[tex]z=\frac{5-7.5}{1.3}[/tex]
[tex]z=\frac{-2.5}{1.3}[/tex]
[tex]z=-1.923076923[/tex]
Upon rounding to two decimal places, we will get:
[tex]z\approx -1.92[/tex]
Therefore, you are [tex]-1.92[/tex] standard deviations from the mean or 1.92 standard deviation below mean.
Helppp.........!!!!!!
Answer:
84 centimeters of the width of the item in reality
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
1 = 14 ⇒ x - width of item in reality (cm)
6 x
2. Now let us cross multiply, and solve through simple algebra:
14 * 6 = x,
x = 84 centimeters of the width of the item in reality
A rectangular storage container is 15 feet long 12 feet wide and 8 feet high what is the surface area of the storage container
Answer:
1440 feet
Step-by-step explanation:
15 × 12 × 8 = 1440
Convert the polar coordinates to rectangular form (√2,-π\4)
Answer:
(1, -1)
Step-by-step explanation:
To convert polar to rectangular coordinates, use these identities:
x = rcos(Ф)y = rsin(Ф)x² + y² = r²Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point
We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point
x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]So our (x, y) point is (1, -1)
[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]If P divided by 10 is 2. What is the value of P ?
Answer:
The value of P is 20 .
Step-by-step explanation:
Firstly, you have to create an expression in terms of p using the information :
[tex] \frac{p}{10} = 2[/tex]
Next, you have to multiply both sides by 10 :
[tex] \frac{p}{10} \times 10 = 2 \times 10[/tex]
[tex]p = 20[/tex]
Answer:
The answer would be twenty.
Step-by-step explanation:
P = 10 x 2
P = 20
What is 79(554)+5(746)?
Answer:
47496
Step-by-step explanation:
Answer: The answer is 47496
Step-by-step explanation:
If you multiply 79 x 554 =43766
Then you multiply 5 x 746= 3730
You add 43766+ 3730 = 47496
If 3^x = 5, then 3^2x+3 = ?
Answer:28
Step-by-step explanation:
3^x=5
3^2x+3
(3^x)^2 + 3
Substitute 3^x=5 in (3^x)^2 + 3
5^2 + 3
5x5+3=28
2 people are evenly sharing 15 milliliters of perfume.
How much perfume should each person get?
Answer:Each person should get 7.5 milliliters or seven and a half perfume.
Step-by-step explanation:
15/2=7.5
Each person should get 7.5 milliliters or seven and a half perfume.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in maths and science.
Thus, unit price of something is price of 1 thing.
Suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
WE know that 2 people are evenly sharing 15 milliliters of perfume.
So, one person will share;
15/2
=7.5
Therefore, Each person should get 7.5 milliliters or seven and a half perfume.
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The table shows the travelling time to work of 50 people.
-Travelling time (t)
in minutes-
0 <t<10
10 < t < 20
20 < t < 30
30 < t < 40
40 < t < 50
-Frequency-
5
15
13
10
7
Calculate an estimate of the mean travelling time.
Answer:
24.8 mins
Step-by-step explanation:
Time > timemark > frequency
0 – 10 > 10/2 = 5 > 5
10 – 20 > (10+20)/2 = 15 > 15
20 – 30 > (20+30)/2 = 25 > 13
30 – 40 > (30+40)/2 = 35 > 10
40 – 50 > (40+50)/2 = 45 > 7
The mean time for the 50 people is given by:
Mean = summation (mid time x frequency) / total frequency
Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50
Mean = [25 + 225 + 325 + 350 + 315] / 50
Mean = 1240 / 50
Mean = 24.8 mins
The mean traveling time of the given data will be 24.8 minutes.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
Time > timemark > frequency
0 – 10 > 10/2 = 5 > 5
10 – 20 > (10+20)/2 = 15 > 15
20 – 30 > (20+30)/2 = 25 > 13
30 – 40 > (30+40)/2 = 35 > 10
40 – 50 > (40+50)/2 = 45 > 7
The mean time for the 50 people is given by:
Mean = summation (mid time x frequency) / total frequency
Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50
Mean = [25 + 225 + 325 + 350 + 315] / 50
Mean = 1240 / 50
Mean = 24.8 mins
The mean traveling time of the given data will be 24.8 minutes.
More about the mean link is given below.
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How many grams are in a kilogram
Answer:
1000 grams
Step-by-step explanation:
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years will it take until the car is worth less than $5,000. He uses the equation 25000(0.85) t = 5000. How many years will Carl have until his new car is worth about $5000? Round your answer to the nearest hundredth.
Answer:
84 bih
Step-by-step explanation:
PLEASE HELP ME:)
(50points)
WILL MARK THE BRAINLIEST !!
Answer:
3. L(15055) is the number of pages ...
4. true
Step-by-step explanation:
3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.
__
4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...
D(2) < D(7) is TRUE
Rewrite the expression 5(2x+1) using the Distributive Property
Answer:
10x+5
Step-by-step explanation:
5(2x+1)
Using distributive property, which is
A(B+C)=(A×B)+(A×C)
=(5×2x)+(5×1)
=10x+5
Hope it helps :)
Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?
Answer:
2 bag of chips
Step-by-step explanation:
Total Money Kumar had = $10.00
Money spent on buying candy bar = $1.75
Money left with Kumar after buying candybar can be obtained by subtracting
Money spent on buying candybar from Total Money Kumar had.
Money left with Kumar after buying candybar = $10.00- $1.75 = $8.25.
It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.
cost of one bag of chips = $2.99
Let no of bag of chips kumar can buy be x .
Therefore total money spent on buying x bag of chips is $2.99 time no. of bag of chips bought
Mathematically it can be expressed as
Total money spent on buying x bag of chips = $2.99 * x = $2.99 x
It is given that he can spent only $8.25 to buy bag of chips.
which means
$2.99 x = $8.25
=> x = 8.25/2.99 = 2.75
Thus he can buy 2.75 bag of chips.
But bag of chips can be only integral number as bag cannot be in fraction .
hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98
Rest of the money will be left which will be 8.25 - 5.98 = $2.27
Answer:
8
Step-by-step explanation:
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years? 74.3 feet 120 feet 144 feet 146.3 feet
Answer:
74.3 feet
Step-by-step explanation:
Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...
(12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft
300 students attended the dedication ceremony of a new building on a college campus the president of the traditionally female college announced a new expansion programme which included plans to make the college co-educational the number of students who learnt of the new program t hours later is given by the function
Complete Question
The complete question is shown on the first uploaded image
Answer:
The number of student that have heard the announcement after 4 hours is
[tex]f(4) = 530[/tex]
Step-by-step explanation:
From the question we are told that
[tex]f(t) = \frac{6000}{1 + Be^{-kt}}[/tex]
Now at time t = 0 f(t) = 300 this because at the time the announcement was made the number of student present was [tex]f(0) = 300[/tex]
so
[tex]f(0) = \frac{6000}{1 + Be^{-k(0)}}[/tex]
[tex]300 = \frac{6000}{1 + Be^{-k(0)}}[/tex]
[tex]1 + B = 20[/tex]
=> [tex]B = 19[/tex]
So the above equation becomes
[tex]f(t) = \frac{6000}{1 + 19 e^{-kt}}[/tex]
Now at the given time t = 2hr [tex]f(2) = 400[/tex]
So
[tex]f(2) = \frac{6000}{1+19e^{-2k}}[/tex]
[tex]400 = \frac{6000}{1+19e^{-2k}}[/tex]
[tex]1+ 19 e^{-2k} = 15[/tex]
[tex]19 e^{-2k} = 14[/tex]
[tex]e^{-2k} = 0.7368[/tex]
[tex]-2k =-0.3054[/tex]
[tex]k = 0.1527[/tex]
So the equation is now
[tex]f(t) = \frac{6000}{1+ 19e^{-0.1527t}}[/tex]
Now at t = 4 hrs we have that
[tex]f(4) = \frac{6000}{1+ 19e^{-0.1527* 4}}[/tex]
[tex]f(4) = 530[/tex]
K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail-order sales results in a mean sale amount of $74.90 with a standard deviation of $21.75. A random sample of 9 sales receipts for internet sales results in a mean sale amount of $87.30 with a standard deviation of $19.75. Using this data, find the 95% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 3 of 3: Construct the 95% confidence interval. Round your answers to two decimal places.
Answer:
Step-by-step explanation:
Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes
74.9 - 87.3 = - 12.4
Step 2. The formula for determining margin of error is expressed aa
Margin of error = z√(s1²/n1 + s2²/n2)
Where
z = z score
s1 = sample standard deviation for data 1
s2 = sample standard deviation for data 2
n1 = number of samples in group 1
n2 = number of samples in group 2
For a 95% confidence interval, the z score is 1.96
From the information given,
s1 = 21.75
n1 = 18
s2 = 19.75
n2 = 9
z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343
= 16.35
Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
95% Confidence interval = - 12.4 ± 16.35
In triangle DOC, cos(D) = 20/29. What is the value of tan(D)?
Answer:
[tex]tan(D) = \frac{21}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given in triangle DOC
Cos(D) = 20/29
now
[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]
We Know that trigonometry formulas
[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]
[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]
= [tex](\frac{29}{20} )^{2} -1[/tex]
= [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]
[tex]tan^2(D) = \frac{441}{400}[/tex]
[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]
[tex]tan(D) = \frac{21}{20}[/tex]
What is the surface area of a hemisphere with radius 3? Round to the tenths.
Answer:
56.52
Step-by-step explanation:
Area of hemisphere = 2πr^2
Radius = 3
= 2×3.14×3×3
= 56.52
hope it helps!
If 5 potatoes together have a mass of 1 kilogram and 8 pears together have a mass of 1200 grams, which has the greater mass, a potato or a pear?
Deena wants to buy a 2200 laptop, but she doesn't have the money. She decides to finance the purchase and will pay montly payments of 231.55 for a year. How much extra will Deena end up paying for the laptop becuase she financed it rather than paying for it all once.
Answer:
$578.6
Step-by-step explanation:
231.55 multiplied by 12 is 2778.6.
Subtract that by the amount that she could've paid in a whole you would get 578.6.
Which is a solution of the system of equations shown?
A. (−4, 0)
B. (2, −4)
C. (0, −2)
D. (2, 0)
Answer:
D. (2, 0)
Step-by-step explanation:
The solutions are the two points of intersection of the graphs:
(-2, -4) and (2, 0)
The latter of these corresponds to choice D, the one you have marked.
Lena is 10 years old. She asks her dad how old he is. He tells her that the lcm of their ages is 14 times the hcf of their ages. She knows that her dad is at least 30 years old but younger than 45. Work out how old her dad is.
Answer:
35
Step-by-step explanation:
Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.
The LCM will be abx = 14x, so we have ab = 14.
Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...
a=2, b=7
For a=2 and ax=10, we have x=5.
The dad's age is bx = 7·5 = 35.
Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true? The probability that Christina will choose three comedies can be expressed as StartFraction 1 Over 4 C 3 EndFraction. The probability that Christina will choose three action movies can be expressed as StartFraction 20 C 3 Over 9 C 3 EndFraction. The probability that Christina will not choose all comedies can be expressed as 1 − StartFraction 4 C 3 Over 20 C 4 EndFraction. The probability that Christina will not choose all action movies can be expressed as 1 − StartFraction 9 C 3 Over 20 C 3 EndFraction.
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The probability that Christina will not choose all action movies can be expressed as 1 − StartFraction 9 C 3 Over 20 C 3 EndFraction.
please answer this correctly I have to finish this today as soon as possible
Estimate the measure of this angle within 10°.
Steven nas a deck OF 52 playing cards, as shown below. Determine the
theoretical probability of each event. Express each probability as a fraction
simplest form.
A. Randomly selecting a red card
B. Randomly selecting a 7, 8, 9, or 10
C. Randomly selecting the 6 of diamonds
D. Randomly selecting a card that is not a king
Step-by-step explanation:
a. Randomly selecting a red card =
[tex] \frac{1}{2 } [/tex]
have 26 card choices
B. Randomly selecting a 7, 8, 9, or 10 =
[tex] \frac{4 \times 4}{52} = \frac{16}{52} = \frac{4}{13} [/tex]
(have 4*4 card choice)
C. Randomly selecting the 6 of diamonds =
[tex] \frac{1}{52} [/tex]
(only 1 card choice)
D. Randomly selecting a card that is not a king
[tex]1 - \frac{4}{52} = \frac{48}{52} = \frac{12}{13} [/tex]
1 - all possibility that can select the king
