The cumulative probability of obtaining a sample result will be approximately 0.0001
We have to apply Formula of Binomial Distribution:
P(X ≤ 168) = ΣP(X = i) for i = 0, 1, 2, .., 168, here in a sample of size n, P(X = i) is the probability of getting exactly i success
We assume that company's claim is true, 0.8 is the probability of success for each trial
P(X = i) = (200 choose i)×\(0.8^{i}\) ×\(0.2^{200- i}\)
By using this, we can easily find that cumulative probability is 0.0001
So, the probability is very low, this means that company's claim of an 80% success rate can be incorrect
So, further analysis may be needed to draw some conclusions and results
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a computer monitor has a width of 15.51 inches and a height of 11.63 inches. what is the area of the monitor display in square meters?
The area of the monitor display in square meters is 0.1158, which is calculated by converting the width and height from inches to meters and then multiplying them.
To calculate the area of the monitor display in square meters, we need to convert the measurements from inches to meters.
First, let's convert the width:
15.51 inches = 0.3937 meters
Next, let's convert the height:
11.63 inches = 0.2946 meters
Now we can calculate the area:
Area = width x height
Area = 0.3937 meters x 0.2946 meters
Area = 0.1158 square meters
Therefore, the area of the monitor display in square meters is 0.1158.
The area of the monitor display can be calculated by multiplying the width and height of the monitor. However, as the given measurements are in inches, we need to convert them to meters to calculate the area in square meters. We converted the width to 0.3937 meters and the height to 0.2946 meters. Then, we calculated the area by multiplying the width and height, which gave us a result of 0.1158 square meters. Therefore, the area of the monitor display in square meters is 0.1158.
The area of the monitor display in square meters is 0.1158, which is calculated by converting the width and height from inches to meters and then multiplying them.
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John used his MasterCard credit card to purchase groceries for $75.63, gas for $93.45, and a video game for $61.93 this month. How much should his payment to his credit card company be in order for him to avoid interest charges on these purchases?
Answer:
231.01
Step-by-step explanation:
which equation is equal to 72
The equation that is equal to 72 is 8 x 9.
1. To find the equation that is equal to 72, we need to consider different mathematical operations and numbers that can be combined to yield the desired result.
2. One way to express 72 is through multiplication. Let's try different combinations of numbers to see if any multiplication equation equals 72.
3. We can start by examining factors of 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
4. By testing various combinations of these factors, we can determine which one equals 72.
5. After evaluating the different combinations, we find that the equation 8 x 9 equals 72.
6. Therefore, the equation 8 x 9 is the one that is equal to 72.
It's important to note that there might be other equations or operations that can also yield a result of 72, such as addition or subtraction, but based on the given information, multiplication is the operation used to obtain the desired outcome.
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please, someone, help asappp im giving brainliest
Answer:
Step-by-step explanation:
No solutions
Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?
3 inches= ? feet
There are 2 feet in real life be 3 inches long in the scale drawing.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The stage, which is 56 feet long in real life, is 84 inches long in the scale drawing.
Let the x feet in real life be 3 inches long in the drawing.
According to the given question, we can write a ratio as
56 feet : 84 inches = x feet : 3 inches
⇒ 56 / 84 = x / 3
Apply the cross-multiplication operation,
⇒ 56 × 3 = x × 84
⇒ 168 = 84x
⇒ 84x = 168
⇒ x = 168 / 84
⇒ x = 2
Therefore, there are 2 feet in real life be 3 inches long in the scale drawing.
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A theater has 27 rows with n seats in each row. Which expression shows how many seats are in the entire theater?
The expression that represent the number of seat in the theatre is 27 × n.
How to represent expression?A theatre has 27 rows with n seats in each row. Therefore, the expression that shows the number of seats in the entire theatre can be represented as follows:
An algebraic expression is made up of variables and constants, along with algebraic operations such as addition, subtraction, multiplication, division etc.
Hence, the theatre has 27 rows with n seat in each row.
Therefore,
number of seats in the theatre = 27 × n
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which of the following does 6/7 x 3/5 equal?
18/32
18/35
18/33
Answer:18/35
Step-by-step explanation: 6*3 = 18
7*5 = 35
18 /35
Answer: 18/35
Step-by-step explanation:
6*3=18
7*5=35
18/35
Add: 4.15+2.15
8.15
2.5
4.15
1.5
Answer:
its not 6.30 its d 4.15
Step-by-step explanation:
The _______ name of a number is how it sounds when we say its name the long way.
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
Bags of flour come in 3 sizes:
Small bag: A 250 g bag costs 60p.
Medium bag: A 1 kg bag costs £1. 80.
Large bag: A 3 kg bag costs £5. 50.
Calculate the cost of 1 kg for the small and large bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments
The small bag is priced at £2.40/kg, while the large bag is priced at £1.83/kg. Therefore, the large bag is the better value, as it offers a lower cost per kilogram compared to the small bag.
To calculate the cost of 1 kg for the small and large bags, we need to determine the cost per gram for each bag and then convert it to the cost per kilogram.
Bag sizes and prices are:
Small bag: 250 g for 60p
Medium bag: 1 kg for £1.80
Large bag: 3 kg for £5.50
To calculate the cost per gram for each bag:
Small bag: 60p / 250 g = 0.24p/g
Large bag: £5.50 / 3000 g = 0.00183 £/g
To convert the cost per gram to cost per kilogram:
Small bag: 0.24p/g * 1000 g/kg = 240p/kg = £2.40/kg (rounded to 2 decimal places)
Large bag: 0.00183 £/g * 1000 g/kg = £1.83/kg
Therefore, the cost of 1 kg for the small bag is £2.40, and the cost of 1 kg for the large bag is £1.83.
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There are 10 sports balls in the equipment closet. Three are kickballs. Write the portion of the balls that are kickballs as a fraction, as a decimal, and in word form
Answer:
fraction: 3 divided by 10 = 3/10
decimal: 3 divided by 10 = 0.3
word form: three tenths
Step-by-step explanation:
Not really sure how to explain but it's basically number of kickballs divided by total number of balls.
WILL GIVE BRAINLIEST TO CORRECT ANSWER
Which best describes the association shown in the scatter plot?
A. no association
B. strong positive
C. moderate positive
D. strong negative
Answer:
D strong negative
Step-by-step explanation:
the accompanying observations are precipitation values during march over a 30-year period in minneapolis-st. paul. 0.31 0.48 0.51 0.58 0.78 0.82 0.82 0.89 0.97 1.17 1.19 1.21 1.32 1.36 1.44 1.52 1.61 1.73 1.86 1.88 1.96 2.04 2.11 2.19 2.49 2.82 2.99 3.08 3.36 4.76
Over the 30 year period, the values of Minneapolis and St. Paul's values will be: Mean 1.580666667 1.769333333 and Standard Deviation 0.890741799 1.123161779
Using the R software or any other graphing software and typing in the, we get the graphs.
The commands were
qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37)) and qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))
We see there's a slight difference between the two graphs.
For Minneapolis, the curve goes upwards to 0.4
and the for St. Paul the curve goes downwards to 0.4
The term "mean" refers to the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of means that can be computed. By adding all of the numbers in a set and dividing by the total number of numbers in the set, the arithmetic mean is determined. The standard deviation is a measurement of how widely distributed or how much a group of data differ. A low standard deviation indicates that the values typically tend to be close to the set mean, while a high standard deviation suggests that the values are dispersed over a wider range.
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at a certain auto parts manufacturer, the quality control division has determined that one of the machines produces defective parts of the time. if this percentage is correct, what is the probability that, in a random sample of parts produced by this machine, exactly are defective?
The probability of a random sample of parts produced by this machine being exactly defective = 0.15
Step-by-step explanation:
Let the percentage of defective part be 12%
and the sample be out of 7 , 2 are defective.
P(X=x) = (e-λ λ x)/ x! [ poisson distribution]
Since, 12% defective parts is produced by one of the machines of the time.
μ= (12%×7)= 0.84
the number of defective product =2
Therefore ,
P(X=2) = 0.15
Thus the required probability becomes 0.15
In Statistics, Poisson distribution is one of the important topics. It is used for calculating the possibilities for an event with the average rate of value. Poisson distribution is a discrete probability distribution.
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Test the null hypothesis H0 : β3 = 0, β4 = 0 against the alternative H1 : H0 is not true at 1% significance level. Perform the test by running restricted and unrestricted models. What do the results suggest?
The results of the test will suggest whether the null hypothesis H0: β3 = 0, β4 = 0 is supported or rejected at the 1% significance level.
To test the null hypothesis H0: β3 = 0, β4 = 0 against the alternative H1: H0 is not true at a 1% significance level, you can perform the test by running restricted and unrestricted models.
In the restricted model, you would impose the null hypothesis by setting the coefficients β3 and β4 to 0. Then, estimate the model and obtain the restricted sum of squares (RSS).
In the unrestricted model, you would not impose any restrictions and estimate the model. Obtain the unrestricted sum of squares (USS).
Next, you can calculate the F-statistic using the formula:
F = ((RSS_restricted - RSS_unrestricted) / q) / (RSS_unrestricted / (n - p))
where q is the number of restrictions (in this case, 2), n is the sample size, and p is the number of parameters in the unrestricted model.
Finally, compare the calculated F-statistic to the critical F-value at the 1% significance level (with q and n-p degrees of freedom). If the calculated F-statistic is greater than the critical F-value, you reject the null hypothesis.
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Tina and Annette are planning to go to New York for four days. The travel options are shown below. Which travel option has the best rate?
Option A: $200 per night, $250 flight
B: $300 per night, $200 flight
C: $150 per night, $500 flight
Answer:
option A
Step-by-step explanation:
Option A is 1,050 in total
option B is 1,400 in total
option C is 1,100 in total
that's my go at it
the number which best completes the sequence below is: 2 9 5 13 10 19 17
The number which best completes the sequence is 31.
To identify the pattern in this sequence, we can observe that it alternates between adding 7 and adding 4. Let's see this step by step:
1. 2 + 7 = 9
2. 9 + 4 = 13
3. 13 + 7 = 20
4. 20 + 4 = 24
5. 24 + 7 = 31
However, there's a discrepancy in the sequence provided: the number 5, which should have been 20, and the number 10, which should have been 24. With the corrected sequence, it should look like this: 2, 9, 20, 13, 24, 19, 17.
The best number to complete the corrected sequence is 31, following the pattern of alternately adding 7 and 4.
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Enter an expression in the box to write a quadratic function given the vertex (7,-4) and the point (5, 8).
Answer:
f(x) = 3(x - 7)² - 4Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (7, -4) ⇒ h = 7, k = -4
so:
f(x) = a(x - 7)² + (-4)
f(x) = a(x - 7)² - 4
The parabola goes through the point (5, 8) ⇒ x=5, f(x)=8
8 = a(5 - 7)² - 4
8 = a(-2)² - 4
+4 +4
12 = 4a
÷4 ÷4
a = 3
It means the equation of the parabola in vertex form:
f(x) = 3(x - 7)² - 4
Abby feeds her dog 1 1/2 cups of food each day, and Braxton feeds his dog 4 1/2 cups of food each day. In one week, how many times more dog food does Braxton’s dog eat when compared with Abby’s dog?
Braxton’s dog eats 5 times more food.
Braxton’s dog eats 3 times more food.
Braxton’s dog eats 4 times more food.
Braxton’s dog eats 2 times more food.
Solution:
Note that:
Abby's dog: 1.5 cups of foodBraxton's dog: 4.5 cups of foodLooking at the information we got, we can say that Braxton's dog eats more. Let's put them into ratio form (Braxton's dog:Abby's dog)
=> (Braxton's dog:Abby's dog) = 4.5:1.5Now, put them into fractions.
=> 4.5:1.5 = 4.5/1.5 = 3We can conclude that Braxton's dog eats 3 times more food.
Find ratio
\(\\ \tt\hookrightarrow \dfrac{4.5}{1.5}=3\)
Braxtons dog eats 3times more than Abbys
In May 1998, forest fires in southern Mexico and Guatemala spread smoke all the way to Austin. Those fires consumed forest land at a rate of 28600 acres/week.
The forest fires in southern Mexico and Guatemala consumed forest land at a rate of 28,600 acres per week.
During May 1998, forest fires in southern Mexico and Guatemala were burning at a significant rate, resulting in the spread of smoke all the way to Austin. The fires were consuming forest land at a rate of 28,600 acres per week. This indicates the amount of forest area that was destroyed or affected by the fires within a span of one week.
The figure of 28,600 acres per week provides an understanding of the magnitude and impact of the forest fires. It highlights the rapid rate at which the fires were spreading and consuming the forested areas. Forest fires are known to have severe ecological and environmental consequences, including loss of biodiversity, destruction of habitats, and degradation of air quality due to the smoke generated. The fact that the smoke from these fires reached Austin suggests the vast distance covered by the smoke plume, indicating the scale and intensity of the fires.
Forest fires are a significant concern as they pose risks to both human lives and natural ecosystems. They can have long-lasting effects on the affected regions, requiring extensive recovery and rehabilitation efforts. Monitoring and managing forest fires, along with implementing preventive measures, are crucial for minimizing their impact and protecting valuable forest resources.
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If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
Which expression is equivalent to 4x2 - 4x – 3 in factored form?
Answer:
(2x-3)(2x+1)
Step-by-step explanation:
4x^2 - 4x - 3
we need two numbers that give 12 when multiplied and 4 when subtracted
the numbers are 6 and 2 because 6*2=12 and 6-4=4.
4x^2 - (6-2)x -3
4x^2 -6x +2x -3
take common
2x(2x -3)+1(2x-3)
take (2x-3) as common
(2x-3)(2x*1 + 1*1)
(2x-3)(2x+1)
PLEASE HELP ASAPPPP PLEASE
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets $25. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise at least $5,000 for her school:
What is the minimum number of at-the-door tickets she needs to sell to make her goal?
A,333
B.334
C.66
D.67
Hence, the minimum number of at-the-door tickets she needs to sell to make her goal is (B) 334.
Given information: Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets $25. The venue has the capacity to hold 400 people.
The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise at least $5,000 for her school.
The minimum number of at-the-door tickets she needs to sell to make her goal can be calculated as follows;
Let's suppose that x represents the number of pre-sale tickets, and y represents the number of at-the-door tickets Anna needs to sell.
Then the following equation represents the total amount of money Anna will earn after selling the given number of tickets;
10x + 25y ≥ 5,000
If she sells all the tickets, she will have sold a total of x + y tickets. But, we know that the venue has a capacity of 400 people.
So, we also know that;
x + y ≤ 400
Solving the two equations for y gives;
10x + 25y ≥ 5,00025y ≥ 5,000 - 10x y ≥ (5,000 - 10x)/25y ≥ 200 - 0.4xy ≤ 333.3 - 0.4x
Answer: B.334.
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How do you write 0.0045 in scientific notation?
Answer:
\(4.5 x 10^{-3} \\\)Step-by-step explanation:
Michael needs to pick up a set of notes from his friend's house. He has two friends who have the notes
available, Friend A or Friend B. He wants to go to the nearest friend.
HELL ASAP!
Need help answering.
Answer:
The answer is C
Step-by-step explanation:
The volleyball team is selling raffle tickets for $1. 50 each. It wants to make at least $250 from the sales. Assume everyone buys the same number of tickets. If there are 75 people at the fundraiser, what is the least number of tickets each person needs to buy to meet that goal?.
The least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
What is an algebraic expression?The algebraic expression are used to represent the general problem in the mathematical way to solve them to find the value of unknown variable.
Let suppose the number of tickets sold are n. As the volleyball team is selling raffle tickets for $1.50 each and the total fund raised by selling the ticket is $250.
Thus, the number of tickets sold are,
\(n=\dfrac{250}{1.5}\\n\approx167\)
Now everyone buys the same number of tickets and there are 75 people at the fundraiser. Thus, the number of tickets purchased by each fundraiser is,
\(x=\dfrac{167}{75}\\x=2.23\)
The number of tickets should be more than 2.23 buy by each people to earn the profit at least or more than $250.
Hence, the least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
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1. In a shelter 15% of the animals are puppies, 45%
are cats, and the rest are adult dogs. Based on this
information, if there are 50 animals at the shelter how
many are adult dogs?
A. 60
B. 20
C. 30
D. Not Here
Therefore the answer is D
Step-by-step explanation:
15% - 45% = 60%
100% - 60% = 40%
Answer:
60% of 50 is 30
the question said cats not kitten or adult cat
so
B. 20
Suppose ray AT bisects Angle CAR. If the measure of Angle CAT is 5x, and
the measure of Angle CAR is 9x + 7, what is the measure of Angle TAR? what is the value of x?
Answer:
x=7
Step-by-step explanation:
since the ray bisects we know <CAT and <TAR are equal
so we can set up the equation like this: <CAT + <CAT = <CAR
(5x)+(5x)=(9x+7)
calculate equation and you'll get x=7