As per the mentioned informations, the probability that x has a value of at least 95 is calculated to be 0.2 or 20%.
Since x is uniformly distributed between 75 and 100, the probability density function (PDF) of x is given by:
f(x) = 1/(100-75) = 1/25 for 75 ≤ x ≤ 100
To find the probability that x has a value between 80 and 90, we need to calculate the area under the curve between x = 80 and x = 90:
P(80 ≤ x ≤ 90) = ∫[from 80 to 90] f(x) dx
= ∫[from 80 to 90] 1/25 dx
= [1/25 × x] [from 80 to 90]
= (90-80)/25
= 0.4
Therefore, the probability that x has a value between 80 and 90 is 0.4 or 40%.
To find the probability that x has a value of at least 95, we need to calculate the area under the curve to the right of x = 95:
P(x ≥ 95) = ∫[from 95 to 100] f(x) dx
= ∫[from 95 to 100] 1/25 dx
= [1/25 × x] [from 95 to 100]
= (100-95)/25
= 0.2
Therefore, the probability that x has a value of at least 95 is 0.2 or 20%.
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ANSWER ASAP FOR BRAINLIEST!!!!
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2 f(x) = −x2 + 4x + 1
A Function 1 has the larger maximum at (4, 1).
B Function 1 has the larger maximum at (1, 4).
C Function 2 has the larger maximum at (2, 5).
D Function 2 has the larger maximum at (3, 2).
Function 2 has the larger maximum at (2, 5).
Hence the correct option is (C).
Given the first function is,
Function 1: f(x) = x² + 8x - 15
Differentiating the function with respect to 'x' we get,
f'(x) = 2x + 8
f''(x) = 2
Now, f'(x) = 0 gives
2x + 8 = 0
2x = -8
x = -8/2
x = -4
At x = -4 the value of f''(-4) = 2 > 0
So there is minimum at x = -4.
Second function is:
Function 2: f(x) = -x² + 4x + 1
Differentiating the function with respect to 'x' we get,
f'(x) = -2x + 4
f''(x) = -2
Now, f'(x) = 0 gives
-2x + 4 = 0
2x = 4
x = 4/2
x = 2
At x =2 the value of f''(2) = -2 < 0
So at x = 2 the function has maximum value.
max f(x) = f(2) = - 2² + 4*2 + 1 = - 4 + 8 + 1 = 5
So function 2 has the larger maximum at (2, 5).
Hence the correct option is (C).
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if you are testing the null hypothesis with an alpha value of 0.05, will the critical value be smaller or larger than if you were testing the alpha value of 0.01? why?
When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.
If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.
This is because a larger alpha value represents a higher level of risk that you are willing to accept when rejecting the null hypothesis. A larger critical value means the rejection region is larger, making it more likely for you to reject the null hypothesis if the test statistic falls within that region.Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.
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An event has 8 adults and 12 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?
Answer:
Step-by-step explanation:
To make each table identical, we need to find the greatest common divisor (GCD) of 8 and 12, which will give us the maximum number of people that can be seated at each table.
We can find the GCD using the Euclidean algorithm:
12 = 8 × 1 + 4
8 = 4 × 2 + 0
Since the remainder is 0, the GCD of 8 and 12 is 4.
Therefore, the event planner can set up tables with 4 people at each table (2 adults and 2 children).
There are a total of 20 people (8 adults + 12 children), so the number of tables needed is:
20 ÷ 4 = 5
Thus, the greatest number of tables the planner can set up is 5.
pls answer
worth 20 pointsss
Answer:
35.26m
Step-by-step explanation:
6.7/ 2 = 3.35
Radius = 3.35^2
Circle = pie x 3.35^2
pie x 11.2225 = 35.25652355
35.25652355 estimated = 35.26
Victoria used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below
The probability of getting a blue marble and coin tails up is 540 / 2500.
Given that, Victoria is having a bag of three colored marbles and 50 coins in a bag,
Blue marbles = 18
Green = 20
Yellow = 12
Head up Coin = 20
Tails up coins = 30
So, P(E) = favorable outcomes / total number of outcomes
P(A and B) = P(A) × P(B)
P(A) = Getting a blue marble = 18/50
P(B) = Getting a coin inn which tail is upside = 30 / 50
P(A and B) = 18/50 x 30/50 = 540/2500
Hence, the probability of getting a blue marble and coin tails up is 540 / 2500.
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please
Describe the graph of each equation as a transformation of the graph y=5^x.
1. y=3(5)^x
2. y=1/3 5^x
3. y=-5^x
Write an equivalent expression by distributing the "
−
−" sign outside the parentheses:
−(4m−0. 2n−5. 5)
The equivalent expression is -4m + 10n + 10
What are algebraic expressions?It is important to know that algebraic expressions are described as expressions that are composed of terms, variables, constants, factors and coefficient of variables.
These algebraic expressions are also made up of mathematical operations.
These operations includes;
AdditionBracketParenthesesDivisionSubtractionMultiplicationNote that equivalent expressions have the same solution, we have;
−(4m - 0- 2n - 5. 5)
expand the bracket, we have
-(4m - 10n - 10)
remove the parentheses
-4m + 10n + 10
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write a system of two equations in two unknowns. do not solve the system. in a certain village, there are w wizards and n necromancers for a total of 30 magical people. there are six more necromancers than there are wizards. write a system of equations that determines the numbers of wizards and the number of necromancers. w n
The system of equations that describes the number of wizards and necromancers in the village is: w + n = 30 n = w + 6.
Let's denote the number of wizards as 'w' and the number of necromancers as 'n'.
From the problem, we know that there are a total of 30 magical people in the village. Therefore, our first equation is simply: w + n = 30. Additionally, we're told that there are six more necromancers than wizards. This means that:
n = w + 6.
We can substitute this second equation into the first to get: w + (w + 6) = 30. Simplifying this equation gives us: 2w + 6 = 30
This is as far as we can simplify the equations without solving for 'w' and 'n'. These equations can be used to determine the values of 'w' and 'n' by solving the system of equations using algebraic methods.
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What is 125% of 112
Multiplying decimals
Answer:
The answer to this question is 140
Answer: 140
Step-by-step explanation:
1.25 * 112 =140
Because the percent is bigger than 100% your answer will be bigger than the number you started with 112, so 140 makes sense
what is -1 2/5 - (- 4/5) rationales
Answer:
-3/5
decimal form: -0.6
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
have a good day :)
It takes 3 gallons of paint to cover 800 square feet of surface. Which proportion can be used to find the number of gallons of paint needed to cover 2000 square feet of surface
it would take 7.5 gallons of paint to cover 2000 square feet of surface.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
The proportion that can be used to find the number of gallons of paint needed to cover 2000 square feet of surface is:
3 gallons : 800 square feet = x gallons : 2000 square feet
where x is the number of gallons of paint needed to cover 2000 square feet of surface.
Simplifying the proportion, we can cross-multiply to get:
3 * 2000 = 800 * x
Solving for x, we get:
x = (3 * 2000) / 800 = 7.5 gallons
Therefore, it would take 7.5 gallons of paint to cover 2000 square feet of surface.
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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4995 to rent trucks plus an a
fee of $200.50 for each ton of sugar. The second company charges $6500 to rent trucks plus an additional fee of $125.25 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?
tons
What is the cost when the two companies charge the
same?
Question 3
___tons??
$____??
The requried cost is $8995 when the two companies charge the same for transporting 20 tons of sugar.
To estimate the amount of sugar for which the two companies charge the same,
4995 + 200.50x = 6500 + 125.25x
Simplifying and solving for x, we get:
74.75x = 1505
x = 20
Therefore, the two companies charge the same when transporting 20 tons of sugar. To estimate the cost at this point, we can substitute x=20 into either equation:
For the first company:
cost = 4995 + 200.50(20) = $8995
For the second company:
cost = 6500 + 125.25(20) = $8995
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How many weeks are in 1,095
Answer:
The answer to your problem is about, 156 weeks
Step-by-step explanation:
We can first divide it by 7.
We need to divide it by 7 because there is 7 days in a week which is:
1,095 ÷ 7 = 156.428571429.
Rounded; 156 weeks
Thus the answer to your problem is, 156 weeks
how many 6-person lineups can be formed from a volleyball roster of 12 players, assuming every player can play any position?
Answer:2
Step-by-step explanation:
12/6=2
There are 924 possible outcomes 6-person lineups that can be formed from a volleyball roster of 12 players, assuming every player can play any position.
To answer your question, we can use the combination formula which is nCr = n!/(r!(n-r)!), where n is the total number of players in the roster and r is the number of players we want to choose for the lineup. In this case, we want to choose 6 players for the lineup out of 12 players in the roster. So, the formula becomes 12C6 = 12!/(6!(12-6)!) = 924. Therefore, there are 924 possible 6-person lineups that can be formed from the volleyball roster of 12 players, assuming every player can play any position.
To form a 6-person lineup from a 12-player volleyball roster, you can use the concept of combinations. Combinations are used to find the number of ways to choose items from a larger set without considering the order of the items. In this case, you need to choose 6 players from a set of 12. The formula for combinations is:
C(n, k) = n! / (k!(n-k)!)
where C(n, k) is the number of combinations, n is the total number of items, k is the number of items to choose, and ! denotes the factorial of a number. Plugging in the values for your question:
C(12, 6) = 12! / (6!(12-6)!)
C(12, 6) = 12! / (6!6!)
C(12, 6) = 924
So, there are 924 possible outcomes 6-person lineups that can be formed from a volleyball roster of 12 players, assuming every player can play any position.
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lynn and dawn tossed a coin 60 times and got heads 33 times. what is the probability of tossing heads using lynn and dawn's results?
Answer:
55%
Step-by-step explanation:
33 is 55% of 60
and 11/20 = 33/60=0.55
Find the weighted average of the numbers 1 and 6, with a weight of two-thirds on the first number and one-third on the second number. A. 3.5 B. 3.3 C. 2.7 D. 2.4
The weighted average is 1.
Weighted average is a statistical term used to describe a average calculated by giving different weights to different elements in a set of values.
The weighted average of the numbers -1 and 5 with two thirds of the weight on the first number and one third on the second number is 0.67.
The formula for a weighted average is:
(Weight1 * Value1) + (Weight2 * Value2) / (Weight1 + Weight2)
Where Weight1 is the weight for the first value (-1), Value1 is the first value (-1), Weight2 is the weight for the second value (5), and Value2 is the second value (5).
In this case, Weight1 = 2/3, Weight2 = 1/3, Value1 = -1, and Value2 = 5. Plugging these values into the formula, we get:
(2/3 * -1) + (1/3 * 5) / (2/3 + 1/3) = (-2/3 + 5/3) / 1 = 3/3 = 1
Hence, the weighted average is 1.
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a sample of holiday shoppers is taken randomly from a local mall to determine the average daily spending on gifts. from a preselected sample, the standard deviation was determined to be $26. you would like to construct a 90% confidence interval for the mean daily spending on all holiday spending. find the appropriate sample size necessary to achieve a margin of error of $8.
A sample size of at least 29 is necessary to achieve a margin of error of $8 for a 90% confidence interval of the mean daily spending on all holiday spending.
The following equation may be used to calculate a confidence interval's margin of error:
Margin of error = z * [tex](\frac{standard\: deviation} {\sqrt{(sample\:\: size)} }\:)[/tex]
We want the margin of error to be $8, so we can set up the following equation:
[tex]$8 = 1.645 * (\$26 / \sqrt{(sample\: size))[/tex]
To solve for the sample size, we need to isolate the variable "sample size" on one side of the equation:
[tex]\sqrt{(sample\: size)} = 1.645 * (\$26 / \$8)\\\sqrt{(sample\: size)} = 5.365[/tex]
sample size = [tex](5.365)^2[/tex]
sample size = 28.8
We can round up to the nearest whole number to ensure that the sample size is large enough:
sample size = 29
Margin of error refers to the range of possible values that a statistical result may vary from the actual population parameter. It is a measure of the precision of a survey or poll's results and indicates how much confidence one can have in the results.
When conducting a survey or poll, researchers typically take a sample from a larger population and use statistical techniques to estimate the parameters of interest, such as the mean or proportion. The margin of error is then calculated based on the sample size, level of confidence, and the variability of the data. It's important to consider the margin of error when interpreting survey results to avoid making incorrect conclusions or assumptions.
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Three softball players discussed their batting averages after a game.
Probability
Player 1 four sevenths
Player 2 five eighths
Player 3 three sixths
By comparing the probabilities and interpreting the likelihood, which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Answer: B
Step-by-step explanation:
Player 1 = 4/7 = .57
Player 2 = 5/8 = .625
Player 3 = 3/6 = .5
a, not true P1 is not> than P2
b. is true P2>P1
c. not true P3 is not > than P1
d. not true P3 is not > than P2
10 times z to the 2nd power plus 2 equals 1400
10z2+2=1400
FIND z
Calista's finish times are recorded in the table. She cannot tell which number is for which year.. Based on the data in the table above, when did Calista likely record Finish Time A? explain?
Last year, because finish times were greater last year, on average, as compared to this year. Therefore, the correct option is D.
We can see that finish time A is larger (by 2 seconds) than finish time B, so we can assume that the mean for year A will be larger than the mean for year B.
On the other table, we can see that last year the average was larger (16.2 s compared with 14.7 s this year).
Then we can assume that Finish Time A was recorded last year, just because the mean of last year was larger.
Therefore, the correct option is D.
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"Your question is incomplete, probably the complete question/missing part is:"
The first table shows the measures of variability for finish times of 30 runners in the 100-meter dash. Calista’s finish times are recorded in the second table. She cannot tell which number is for which year. Based on the data table, when did Calista likely record Finish Time A? Explain.
A. This year, because finish times were less this year, on average, as compared to last year.
B. Last year, because finish times were less last year, on average, as compared to this year.
C. This year, because finish times were greater this year, on average, as compared to last year.
D. Last year, because finish times were greater last year, on average, as compared to this year.
Can some help simplify this question, with a positive exponent
Derek sells appliances. He is paid a 6.5 % commission on every appliance
he sells. Derek sold $9,732.00 worth of appliances this week. What is
Derek's commission?
Answer:
$632.58
Step-by-step explanation:
It is given that Derek is paid a 6.5% commission (or 0.065 in decimals) on every appliance sold. It is also given that Derek sold $9,732.00 in total.
To solve, multiply the total sold with the commission percentage to find total amount of commission:
commission percentage x total sold = total amount of commission
Plug in the corresponding numbers to the corresponding variables. Let the variable, t, stand for the total amount of commissions:
0.065 x 9732 = t
t = 632.58
Derek's total commission is $632.58
~
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The perimeter of a square market is 32 meters. How long is each side of the market?
What is the area
of my lawn if it measures 6m by 5. 2m?
If the lawn measures 6m by 5. 2m, the area of the lawn is 31.2 square meters.
To find the area of the lawn, we simply need to multiply the length by the width. In this case, we have a rectangular lawn that measures 6m by 5.2m.
Area = length x width
Area = 6m x 5.2m
Area = 31.2 square meters
It's important to note that when calculating area, the units are squared, which means we are multiplying two lengths together. In this case, we multiplied meters by meters to get square meters. This is because area is a two-dimensional measurement, whereas length and width are one-dimensional measurements.
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Find the value of c. Give your answer in degrees (). 30° 51° с
Answer:
C = 18°
Step-by-step explanation:
You want the value of angle C in the given figure.
Remote interior anglesThe angle marked X in the attachment is an exterior angle to the left triangle. As such, its measure is the sum of the remote interior angles, marked 30° and 51°.
X = 30° +51° = 81°
Isosceles triangleThe angle marked X is one of two congruent base angles of the isosceles triangle on the right. That means ...
C = 180° -2X = 180° -2(81°)
C = 18°
The value of C is 18°.
What is the probability of student who are into sports and theater a. 1/26 b. 35/52 c. 6/13 d. 5/26
The probability of students who are neither into sports and theater is 11/13, under the condition that 2 students play sports, 10 students perform in theatre and the rest 4 are in both sports and theatre. Then, the correct option is Option C.
Total number of students that play sports = 12
Total number of students who perform in theater =10 Total number kf student who do the both= 4
Therefore,total number of students = 12+10+4 = 26
Then, the number of students that are neither into sports nor theatre = Total number of students - Number of students who are in both sports and theatre
= 26 - 4 = 22.
Now, the probability of students that are neither into sports nor theatre = Number of students who are neither into sports nor theatre / Total number of students
= 22 / 26
= 11 / 13
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The complete question is
What is the probability of student who are neither into sports and theater if 12 students play sports, 10 students perform in theatre and the rest 4 are in both sports and theatre .
a. 1/26
b. 35/52
c. 11/13
d. 5/26
If there are 2 students who take Italian and 10 students total, then the ratio of students who take
Italian to the total number of students is
(A) 2:5
(B) 5:1
(C) 2:1
(D) 1:5
(E) 5:8
Answer: 1:5
Step-by-step explanation:
If you convert that to a ratio, that is 2:10 = 1:5.
Determine whether the pairing is a function. If it is a function, describe the rule that relates the input value to the output value.
input: -3, -1, 0, 1, 3
output: 0, 2, 3, 4, 6
A. The pairing is not a function
B. The pairing is a function. The rule is “input value multiplied by 2 then add 3.”
C. The pairing is a function. The rule is “input value multiplied by 3 then add 3.”
D. The pairing is a function. The rule is “input value plus 3.”
The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14 for π. fill in the blank
___miles
We know that the circumference C of a circle is related to its diameter d by the formula:
C = πd
We are given that the circumference of the circle is approximately 7,459 miles. Substituting this into the formula above and solving for the diameter d, we get:
d = C/π
d = 7,459/3.14
d ≈ 2375.477707
Rounding to the nearest hundredths place, the diameter is approximately 2375.48 miles.
Therefore, the answer to fill in the blank is 2375.48miles.
Answer:
2374,27 miles
Step-by-step explanation:
diameter of circle = circumference/3.14
d = 7359 / 3.14 = 2374.27 miles
what constant phase is associated with the zeta equals fraction numerator square root of 2 over denominator 2 end fraction radial line? answer as a positive integer angle is degrees. recall that the phase is the angle from the the positive real-axis.
The constant phase associated with the complex number represented by the radial line with polar coordinates (|z|, θ) = (√(2)/2, 135°) is found out being 135°.
The constant phase associated with the complex number represented by the radial line with polar coordinates (|z|, θ) = (√(2)/2, 135°) is 135°.
To see why, we can first express the complex number in rectangular form:
z = (√(2)/2) x exp(i x 135°) = (√(2)/2) x cos(135°) + (√(2)/2) x i x sin(135°) = (-1 + i) / √(2)
The angle θ associated with this complex number can be found using the arctangent function:
θ = arctan(Im(z) / Re(z)) = arctan((√(2)/2) / (-√(2)/2)) = -45°
However, since we want the angle measured from the positive real axis, we need to add 180° to get:
θ = -45° + 180° = 135°
Therefore, the constant phase associated with the complex number represented by the radial line with polar coordinates (|z|, θ) = (√(2)/2, 135°) is 135°.
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