The pressure of 1000 Pa is equal to 0.145 pound per square inche(PSI)
Let the pressure be 1000 pascal
We have to convert it to pound per square inche
1 psi = 6896.6 Pa
Therefore, to convert 1000 Pa to psi, we can divide by this conversion factor:
1000 Pa ÷ 6896.6 Pa/psi
= 0.145 psi
Hence, the pressure of 1000 Pa is equal to 0.145 psi.
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fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + [tex]i)^n[/tex]
So, PV = 100, 000 / (1+ 5/100[tex])^{10\\[/tex]
PV = 100,000 / (1+ 0.05[tex])^{10\\[/tex]
PV = 100, 000/ (1.05[tex])^{10\\[/tex]
PV = 100,000 / 1.6288946
PV= $6,139.132
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6) The height h(t) of a projectile is given by
h(t) = −t² + 7t + 9.
Find the time (s) at which the rocket is
20 ft above the ground.
Answer:
2.38 s
4.62 s
Step-by-step explanation:
The height of a projectile is given by the function:
[tex]h(t) = -t^2 + 7t + 9[/tex]
where:
h(t) is the height of the rocket about the ground (in feet).t is the time (in seconds).To determine the time(s) at which the rocket is 20 ft above the ground, set h(t) = 20 and solve for t.
[tex]-t^2+7t+9=20[/tex]
To solve the equation for t, complete the square.
Subtract 9 from both sides:
[tex]-t^2+7t=11[/tex]
Divide both sides by -1:
[tex]t^2-7t=-11[/tex]
Add the square of half the coefficient of the term with the variable "t" to both sides of the equation:
[tex]t^2-7t+\left(\dfrac{-7}{2}\right)^2=-11+\left(\dfrac{-7}{2}\right)^2[/tex]
Simplify:
[tex]t^2-7t+\dfrac{49}{4}=\dfrac{5}{4}[/tex]
We have now created a perfect square trinomial on the left side of the equation. Factor the perfect square trinomial:
[tex]\left(t-\dfrac{7}{2}\right)^2=\dfrac{5}{4}[/tex]
To solve for t, square root both sides:
[tex]t-\dfrac{7}{2}=\pm \sqrt{\dfrac{5}{4}}[/tex]
[tex]t-\dfrac{7}{2}=\pm\dfrac{\sqrt{5}}{2}[/tex]
Add 7/2 to both sides of the equation:
[tex]t=\dfrac{7}{2}\pm\dfrac{\sqrt{5}}{2}[/tex]
[tex]t=\dfrac{7\pm\sqrt{5}}{2}[/tex]
Therefore, the times at which the rocket is 20 ft above the ground is:
[tex]t=\dfrac{7-\sqrt{5}}{2}=2.38\; \rm s[/tex]
[tex]t=\dfrac{7+\sqrt{5}}{2}=4.62\; \rm s[/tex]
A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is 40 or
above, given that he or she gets the news by reading the paper? If necessary,
round your answer to the nearest percent.
Don't read
Read paper
Total
Under 40
40 or older
Total
4
24
28
paper
36
16
52
40
40
80
The probability that a person surveyed is 40 or older and gets the news by reading the paper is 60%. The Option C is correct.
How do we find the reading for 40 or older?We must find the probability of a person getting their news by reading the paper and are given with a condition that the person must be 40 or older.
Data
The survey is conducted among 80 people.
Number of people aged 40 or older = 40
No of people aged 40 or older and read paper = 24
The probability of a person aged 40 or older reads a paper will be:
= (No. of People aged 40 or older and read paper)/(No. of people aged 40 or older)
= 24/40
= 0.6
= 60%
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QUESTION 5 - 1 POINT
Rebecca invests $700 into an account with a 2.9% interest rate that is compounded semiannually.
How much money will she have in this account if she keeps it for 5 years?
Round your answer to the nearest dollar.
Provide your answer below:
Answer:
$814 she kept for 5 years if she don't spend it
Step-by-step explanation:
As a market researcher, you have been hired by a fast-food chain. They want to know what kind of food containers the public prefers (given environmental and recycling concerns). The question is whether the public prefers their hamburgers wrapped in aluminum foil, foam boxes, or paper. Analyze the following data for whether there is a significant difference.
Foam 74
Paper 103
FOIL 123
Calculate the appropriate statistic, identify the critical value, make your decision and conclusion and present the statistical results in correct form.
The conclusion is there is not a significant difference between the preference for the three food containers.
The appropriate statistic to use in this case is a chi-squared test. This test will help us determine if there is a significant difference between the preference of the three food containers.
The critical value for the chi-squared test with 2 degrees of freedom is 5.991.
The chi-squared statistic is calculated as follows:
(74-103)²/103 + (103-123)²/123 + (123-103)²/103
= 3.9/3.9
= 1.0
The chi-squared statistic (1.0) is less than the critical value (5.991). Therefore, there is not a significant difference between the preference for the three food containers.
The statistical results can be presented in the following form:
Chi-squared statistic = 1.0
Critical value = 5.991
Therefore, the conclusion is there is not a significant difference between the preference for the three food containers.
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Find the value of the following expression and round to the nearest integer:
The value of the Expression is 610, 919.
We have,
Expression : [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n+1[/tex]
The expression is a summation formula, representing the sum of a series of values.
Here r= 1.07 and n is number of terms.
So, [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n+1[/tex]
= 700 (1) + [tex]\sum_{n=0}^{61[/tex] 700 (1.07[tex])^{n[/tex]
= 700 + 700 ([tex]r^{61[/tex] - 1)/ (r-1)
= 700 + 700 ([tex](1.07)^{61[/tex]-1)/ (0.07)
= 700+ 700 (871.7428)
= 610, 919
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For f(x) = x + 4√
x
+
4
, what is the value of the function when x = 8? Round to the nearest hundredth.
Lisa is putting 11 colored light bulbs into a string of lights. There are 3 red light bulbs, 2 yellow light bulbs, and 6 pink light bulbs. How many distinct orders of light bulbs are there if two light bulbs of the same color are considered identical (not distinct)?
We can see here that the distinct orders of light bulbs that are there if two light bulbs of the same color are considered identical is: 4,620.
How we arrived to the solution?We can see here that in order to find the solution, we use the permutation with repetition formula:
n! / (n1! × n2! x ... × nk!)
In order to adjust for overcounting, we divide by 3! because of the 3 red light bulbs we have. For the 2 yellow light bulbs, we divide with 2!. For the 6 pink light bulbs, we divide by 6!. This is because we are treating lights bulbs of the same color which are identical.
Therefore, the total number of distinct orders of bulbs will be:
11! / (3! × 2! × 6!) = 4,620
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Alma makes `5` cups of her favorite shade of purple paint by mixing `3` cups of blue paint, `1 & 1/2 cups of red paint, and 1/2 a cup of white paint.
Alma has `2` cups of white paint.
How much blue paint and red paint will Alma need to use with the `2` cups of white paint?
Alma need to use 6 cups of blue paint and 4 cups of red paint with the 2 cups of white paint.
Here, Alma makes 5 cups of her favorite shade of purple paint by mixing
3 cups of blue paint,
1 1/2 cups of red paint,
and 1/2 a cup of white paint.
Alma has 2 cups of white paint.
The ratio of blue to the white paint is:
3 : (1/2)
so, for 2 cups of white paint,
3 : (1/2) = x : 2
x = 6 cups of blue paint
The ratio of red to the white paint is,
3: (1 1/2)
3 : (3/2)
So, for 2 cups of white paint,
3 : (3/2) = y : 2
y = 4 cups of red paint
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<
Jennifer has watched 40 minutes of a movie, which is 20% of the movie. What
is the total length in minutes of the movie?But is not 210
Answer: 200
Step-by-step explanation: 20% of 200 is 40
Answer:
200
Step-by-step explanation:
Since 20% of the movie is equal to 40 minutes of the entire movie, simply just keep adding 40 repeatedly until you hit 100%.
40+40+40+40+40=200
^ ^ ^ ^ ^
20+20+20+20+20=100
help asap im so lost
Answer:250
Step-by-step explanation:
I think they just want you to multiply the 25 and the 10 (radius squared times the height)
The parent function for the graph to the right is of the form y = ab*. Write the parent function. Then write a function for the
translation indicated.
translation: left 6 units, down 7 units
The parent function is [tex]y = ab^x[/tex]
A function for the translation indicated is [tex]y = ab^{x+6} - 7[/tex].
What is a translation?In Mathematics and Geometry, the vertical translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the negative y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.In this scenario, we can logically deduce that the graph of the parent function was translated or shifted to the left (horizontally) by 6 units and downward (vertically) by 7 units;
[tex]y = ab^x[/tex]
[tex]y = ab^{x+6} - 7[/tex]
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what’s the answer bro what is the answer
Answer:
7
Step-by-step explanation:
a= a+b/2*h
The number of runs scored by the Lions for six games is shown below.
5, 8, 1, 5, 2, 7
If the Lions scored 14 runs in their seventh game, which of the following statements is true?
OA. The median increases and the mean remains the same.
OB. The mean increases and the median remains the same.
OC. The mean and the median both increase.
OD. The median and the mean both remain the same.
If the Lions in their "seventh-game" scored 14 runs, then the true statement is (b) The mean increases and the median remains the same.
To determine how the additional 14 runs affect the mean and median, we need to calculate the original mean and median.
The mean is the sum of all the runs divided by the number of games:
So, Mean = (5 + 8 + 1 + 5 + 2 + 7)/6 = 28/6 = 4.67,
The median is defined as "middle-value" when data is arranged in order. In this case, the data in order is : 1, 2, 5, 5, 7, 8
So, the median is 5.
If the Lions scored 14 runs in their seventh game, the total number of runs for seven games is:
⇒ 5 + 8 + 1 + 5 + 2 + 7 + 14 = 42,
The new mean is the sum of all the runs for seven games divided by the number of games:
⇒ Mean = 42/7 = 6,
The new data in order is : 1, 2, 5, 5, 7, 8, 14,
So, the new median is also 5.
Comparing the original mean and median to the new mean and median, we can see that:
⇒ The median remains the same.
⇒ The mean increases from 4.67 to 6.
Therefore, the correct option is (b).
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Ben wants to compare the scores of this year's basketball games to the scores of last year's games. He made the following double stem-and-leaf plot to make
his comparison.
Comparison of
Basketball Scores
Between the Last
Two Years
Last
Year
995
97753
6654
9
Stem
OB. 20
OC 16.
0
1
2
3
4
5
What is the difference between the median score this year and the median score last year?
OA 18
OD. 17
This
Year
999
7889
456778
233
2
Nour wants to go on a popular talent TV show. In order to be accepted, her audition must get at least
60
%
60%60, percent positive votes from the people in the crowd.
To make sure she’s not going to embarrass herself, she performed her act in front of
100
100100 random people from her school. About
90
%
90%90, percent of the people said they would give her a positive vote. She calculated the margin of error and found it’s well within the range above
60
%
60%60, percent, so she decided to go and audition
1. The objective of Nour's study is to sample the population to see if there is a correlation between her performance and the audience response.
2. No, because the population she sampled isn't necessarily representative
What is population sample?A population sample is a subgroup of people drawn from a broader population for the purpose of a study.
A population sample is often chosen such that it is a representative of the greater population. Populaton sample should consider factors such as age, gender, income, or level of education.
The answer provided is based on the full question below;
Nour wants to go on a popular TV talent show. In order to be accepted, her audition must get at least 60% positive votes from people in the crowd.
To make sure she's not going to embarrass herself, she performed her act in front of 100 random people from her school. About 90% of the people said they would give her a positive vote. She calculated the margin of error and found it's well within the range above 60%, so she decided to go to the audition.
What is the objective of Nour's study?
Is the study appropriate for the statistical questions it's supposed to answer?
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A fair coin is tossed times in succession. The set of equally likely outcomes is . Find the probability of getting exactly .
The probability of getting exactly zero tails is,
⇒ 1/4
We have to given that;
A fair coin is tossed two times in succession.
And, The set of equally likely outcomes in {HH,HT,TH, TT}.
Hence, a total number of 4 outcomes (denominator) and there in only 1 chance (numerator) that you will not get tails.
Thus, the probability of getting exactly zero tails is,
⇒ 1/4
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Complete question is,
A fair coin is tossed two times in succession. The set of equally likely outcomes in {HH,HT,TH, TT}. Find the probability of getting exactly zero tails.
If m/8 = 133°, find m/1.
Answer:
1064
Step-by-step explanation:
If m/8 = 133°, find m/1.
m/1 = m (Any number, except zero, divided by itself is 1)
m : 8 = 133 : 1
m = 8 * 133 : 1
m = 1064
----------------------
check
1064 : 8 = 133 : 1
133 = 133
the answer is good
The volume of the tank is cubic feet and it will be completely filled with water at the end of minutes.
Answer:
there is missing information needed to provide a solution to this problem.
PLEASE HELP (WILL GIVE BRAINLIEST
Answer:
A. V = 81π(7.25) = 1,844.90 cubic inches
V = 81(3.14)(7.25) = 1,843.97 cubic inches
B. Let p be the number of cans of paint.
1,843.97p = 10,000, so p = 5.42
Jessie will need 6 cans of paint.
C. Area of each storage area = π(9.5^2) = 283.53 square inches. Using 3.14 for π, this area is (3.14)(9.5^2) = 283.385 square inches. The base area of each paint can is 81π = 254.46 square inches (254.34 square inches if we use 3.14 for π). Jessie can't use the carrier because the area of each storage area exceeds the base area of each paint can.
A normal distribution has a mean of 85.5 and a standard deviation of 4.8 to find the data value corresponding to the value of the given
The data value corresponding to z = 0.55 is approximately 87.6075.
How to solve for the data valueTo find the data value corresponding to a given z-score, we need to use the formula:
z = (x - μ) / σ
where z is the standard score, x is the data value, μ is the mean, and σ is the standard deviation.
Rearranging this formula, we get:
x = z * σ + μ
Substituting the given values, we get:
x = 0.55 * 4.85 + 85.3
x = 87.6075
Therefore, the data value corresponding to z = 0.55 is approximately 87.6075.
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A normal distribution has a mean of 85.3 and a standard deviation of 4.85. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = 0.55
Zeke and his stepmother wanted to start volunteering together. They found 9 opportunities online, 7 of which involved working at an animal shelter.
If they randomly chose to apply to 6 of the opportunities, what is the probability that all of them involve working at an animal shelter?
The likelihood that they will choose to work in an animal shelter for each of the six options they choose is around 0.2214 or 22.14%
The probability is given as,
P = (Favorable event) / (Total event)
The likelihood of choosing an opportunity at an animal shelter is 7/9. If each chance is equally likely to be chosen, the likelihood of choosing six in a row from an animal shelter may be estimated by multiplying the likelihood of choosing one opportunity by itself six times:
P = (7/9) x (7/9) x (7/9) x (7/9)
P = (7/9)⁶
P = 0.2214 or 22.14%
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(Time limit) Give me the domain and range and tell me if the graph is a function or not.
Yes, The given graph is shows a function.
And, Range = {y | y ≥ - 2}
Domain = (- ∞ , ∞)
We have to given that;
the graph is shown in image.
Now, We can check the graph is a function or not by vertical line test.
Hence, By vertical line test it's shows the function as it cut at one point for each value of y.
Thus, The given graph is shows a function.
Since, The set of all inputs of the function is called Domain of set.
Hence, We get;
Domain = (- ∞ , ∞)
And, The set of all outputs of the function is called range of set.
Hence, We get;
Range = {y | y ≥ - 2}
Thus, Yes, The given graph is shows a function.
And, Range = {y | y ≥ - 2}
Domain = (- ∞ , ∞)
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What is 0.3 x 0.5? Show me work
Answer: 0.15
I don't really know how to show you work on here but you can think about it like this. if 5 x 3 is 15, and if there is a decimal like 0.3 x 0.5 it would result in the answer getting smaller as you're multiplying decimals if that makes sense... so it would result in the answer being 0.15. Sorry if it wasn't a good explanation.
Assignment Active
The Economic Effect of Snowsheds
With so many snowsheds along the line, annual
maintenance soared. By 1910 many of the original
wooden structures needed replacing, and heavy snows in
the winter of 1912-13 crushed others. That year the
railway hired 1,800 workers to make shed improvements
along just 8 miles of track, and the need for additional
sheds was clear....
While making repairs on the Cascade Mountain
snowsheds in 1917, the Great Northern Railway used over
35 million board feet of timber that cost triple what it had
just eight years earlier. By this time, snowsheds and
tunnels covered 6.7 of the 9 track miles between
Wellington and Scenic.
According to this passage, how did snowsheds affect
the railroad in the long term?
O They decreased delays, which lowered the railroad
costs.
They required frequent repairs, which added to the
railroad costs.
They reduced the need for bridges, which lowered
the railroad costs.
O They required many workers to operate them,
which added to the railroad costs.
Pls help me understand this
The radius of the circle is 36 centimetres.
The circumference of the circle is 75.36 centimetres.
How to find radius and circumference of a circle?Let's find the radius of the circle with 20 degrees arc and length of 4π centimetres.
Length of an arc = ∅ / 360 × 2πr
where
r = radius∅ = central angleTherefore,
Length of an arc = 20 / 360 × 2 × π × r
4π = 40πr / 360
4π = 1 / 9 πr
cross multiply
πr = 36π
divide both sides by π
r = 36 centimetres
radius = 36 centimetres
b.
The equilateral triangle is inscribed in the circle. Therefore, the circumference of the circle can be found as follows:
The radius of the circle can be found using trigonometric ratios as follows:
The radius is an angle bisector. Hence,
sin 30 = opposite / hypotenuse
0.5 = 6 / r
cross multiply
r = 6 / 0.5
r = 12 centimetres
Lets' find the circumference,
circumference of the circle = 2πr
circumference of the circle = 2 × π × 12
circumference of the circle = 24 × 3.14
circumference of the circle = 75.36 cm
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What are the angles of △ABC with side lengths a=12, b=21, and c=14?
Round each angle to the nearest tenth of a degree and use that rounded value to find the remaining angles.
Answer: the answer is A=33∘, B=107.5∘, and C=39.5∘ is correct or c
Step-by-step explanation:
To find the angles of triangle ABC with side lengths a=12, b=21, and c=14, we can use the Law of Cosines and then apply the Law of Sines to find the remaining angles. Let's denote the angles as A, B, and C respectively.
According to the Law of Cosines:
c^2 = a^2 + b^2 - 2ab * cos(C)
Plugging in the given side lengths:
14^2 = 12^2 + 21^2 - 2 * 12 * 21 * cos(C)
196 = 144 + 441 - 504 * cos(C)
504 * cos(C) = 389
cos(C) = 389 / 504
C = arccos(389 / 504)
Using a calculator to find the approximate value of C, we get C ≈ 43.5°.
The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
We have,
The real exchange rate represents the relative price of goods and services between two countries.
It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.
To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.
1800 rupees / 90 rupees per dollar = $20
The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.
The real exchange rate (RER) is calculated as:
RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price
RER = (90 rupees per dollar * 1800 rupees) / $25
RER = 6480 / $25
RER = 259.2
The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.
Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.
The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.
In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.
This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.
Therefore,
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
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Carl went grocery shopping. He weighed his apples and they have a mass of 2450g. He measured the mass of the pineapple and found it was 3547g. How much more mass does the pineapple have?
The pineapple has 1097g more mass than the apples.
We have,
The difference between two values is the result of subtracting one value from the other.
In this case, we want to find the difference between the mass of the pineapple and the mass of the apples.
To do this, we subtract the mass of the apples from the mass of the pineapple.
The equation for this is:
Pineapple mass - Apple mass = Difference
Substituting the given values:
3547g - 2450g = 1097g
Therefore,
The pineapple has 1097g more mass than the apples.
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binge drinking and auto accidents
44% engaged binge drinking
37% drank moderately
9% abstain
17% accident/binge
9% accident/non-binge
what’s p(accident/abstain)
Answer:
We can solve this problem using the following steps:
1. **Calculate the probability of being in each group.**
The probability of being in the binge drinking group is 44%.
The probability of being in the moderate drinking group is 37%.
The probability of being in the abstain group is 9%.
2. **Calculate the probability of being in the accident group.**
The probability of being in the accident group is 17% + 9% = 26%.
3. **Calculate the probability of being in the abstain group and having an accident.**
The probability of being in the abstain group and having an accident is the probability of being in the abstain group multiplied by the probability of having an accident, given that you are in the abstain group.
The probability of being in the abstain group is 9%.
The probability of having an accident, given that you are in the abstain group, is the probability of being in the accident group and being in the abstain group, divided by the probability of being in the abstain group.
The probability of being in the accident group and being in the abstain group is 9%.
The probability of being in the abstain group is 9%.
Therefore, the probability of having an accident, given that you are in the abstain group, is 9% / 9% = 1.
4. **Calculate the probability of having an accident and being in the abstain group.**
The probability of having an accident and being in the abstain group is the probability of being in the abstain group and having an accident.
The probability of being in the abstain group is 9%.
The probability of having an accident, given that you are in the abstain group, is 1.
Therefore, the probability of having an accident and being in the abstain group is 9% * 1 = 9%.
**Answer:**
The probability of having an accident and being in the abstain group is 9%.
