Answer:3/28
Step-by-step explanation:
The probability that the first person chosen has a license and the second one does not is 15/56
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that, there are 8 people fishing at lake 5 have fishing licenses, and 3 do not. An inspector chooses two of the people at random. we need to find the probability that the first person chosen has a license and the second one does not
Let us consider the possibility of the first person not having a license, which is:
3/7
Now, after a person has been chosen, there will be 7 people remaining. Assuming that the first person chosen did not have a license, there will be 2 people left in the group without a license.
So, the probability of choosing a person without a license the second time will be:
3/7
In probability, when two events occur together (the word "and" is used), multiplication is carried out.
Therefore, we multiply the two probabilities to get:
5/8 x 3/7 = 15/56
Hence, The probability of choosing two people without a license is 15/56
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The interior angles formed by the sides of a quadrilateral have measures that sum to 360°. What is the value of x? Enter your answer in the box. x =
The value of x is equal to 59°.
In Mathematics and Euclidean Geometry, a quadrilateral is a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.
Generally, the sum of the interior angles of any quadrilateral is equal to 360 degrees. In this context, we can logically deduce the following;
2x + 3 + x + 2x + 3 + x = 360°
6x + 6 = 360°
6x = 360° - 6
6x = 354°
x = 354/6
x = 59°.
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Find the percent of a standard normal model found in the given region
Find the 80th percentile of the distribution of the average of 49 fly balls.
The 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet
The 80th percentile of the distribution of the average of 49 fly balls can be found using the formula for the sample mean and the Z-score. Given that the mean distance of fly balls hit is 250 feet, the standard deviation is 50 feet, and the sample size is 49, we can calculate the 80th percentile as follows:
Calculate the Z-score corresponding to the 80th percentile, which is 0.842
Use the Z-score formula to find the sample mean:
Sample Mean=Population Mean + Z × Standard Deviation/ Sample Size
Sample Mean=250+0.842× 50/ √49
Sample Mean=250+0.842×5
Sample Mean=250+4.2
Sample Mean=254.2
Therefore, the 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet
Complete question:
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. Find the 80th percentile of the distribution of the average of 49 fly balls.
HELP PLEASE IS URGENT NEED TO PASS CLASS
The area of a rectangle mirror is 11 11/16 Square feet. The width of the mirror is 2 3/4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit?
Answer:
Love
Step-by-step explanation:
Thanks for the help.
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
(graph is in picture)
PLEASE HELP!!!!!!!!
A business reports a net income of −$5,040 over a 9-month period.
What is the average income per month for that period? −$45,360
−$560
$560
$45,360
On the coldest night in Vostok Station, Antarctica, the temperature dropped from 0°C to −24°C in 4 hours.
What is the average temperature change per hour?
Last year there were 380 students at Woodland middle school this year the student population will increase by 5% what will be the schools increased student population?
Does the absolute value determine direction which the graph opens
write a measurement division story problem for 6 divided by 3/4
Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?
What is division?Division is the process of splitting a number or an amount into equal parts
Here, we have,
6÷ 3/4
=6×4/3
=8
The required story may be:
Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?
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A person who is 5.8 feet tall is standing in a pool. The top of the person's head is 1.6 feet above the surface of the water. How deep is the pool? Write your answer as a decimal.
Write an inequality statement comparing m and n. Using complete sentences, explain how you know that your inequality is true.
Hello There!
It would me m > n.
As you can see, M is further along on the number line than n therefore meaning it has a higher value.
Hope This Helps You!
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Carmen needs at least 86 points to pass Karissa's score. Karissa has 631 points. How many points does Carmen have?
3× 1,250 in expanded form and use distributive property
Geometry.
In circle F, what is the measure of arc CB?
A) 60°
B) 70°
C) 17.5°
D) 35°
The measure of arc CB, <CFB = 70°.
What is Arc?A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that might be created by joining the arc's two ends. A semicircular arc is one whose length is exactly half that of a circle.
Given:
First, Draw segment FC.
Measure of arc CB = ∠CFB
As, ∠CFB is complementary to ∠CFA
So, ∠CFB = 180° - ∠CFA
We have Δ CFA is isosceles then
∠ FAC = ∠ FCA = 35°
∠CFA +∠ FAC + ∠ FCA = 180°
∠CFA = 180° - 70°
∠CFB = 180° - (180° - 70°)
<CFB = 70°
Thus, the Measure of arc CB is 70°.
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Hasan has 18 3/4 yards of fabric. It takes 3 1/6 yards to make a pillowcase. Hasan plans to make as many pillow cases as he can. How many yards of fabric is left over?
Answer:
[tex]\frac{35}{38}[/tex] yards of fabric is left over.
Step-by-step explanation:
Hasan has the total length of fabric = [tex]18\frac{3}{4}[/tex] yards
= [tex]\frac{75}{4}[/tex] yards
Hasan plans to make as many pillow cases as he can.
To make one pillow case the fabric will be needed = [tex]3\frac{1}{6}[/tex] yards = [tex]\frac{19}{6}[/tex] yards
Hasan can make the total number of pillowcases = [tex]\frac{\frac{75}{4} }{\frac{19}{6} }[/tex]
= [tex]\frac{75}{4}[/tex] × [tex]\frac{6}{19}[/tex]
= [tex]\frac{75}{2}[/tex] × [tex]\frac{3}{19}[/tex]
= [tex]\frac{225}{38}[/tex]
= [tex]5\frac{35}{38}[/tex]
He can make 5 pillow cases and [tex]\frac{35}{38}[/tex] yards of fabric would be left over.
Each month, a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the month is 29% in January and 49% in February. What is the probability that she is awarded a blue ribbon in both January and February?
14.21%
19.51%
10.00%
21.81%
Answer:
Option A. 14.21%
Step-by-step explanation:
The probability that Chloe is awarded the employee of the month in January
= 29% P (J) = 0.29
The probability that Chloe is awarded the employee of the month in February = 49% P (F) = 0.49
As we know that both events are independent so
P ( J & F ) = P (J) × P (F)
P = 0.29 × 0.49 = 0.1421 or 14.21%
Therefore the probability that she is awarded a blue ribbon in both January and February 14.21%
calculate the area of the circle , round your answer to the nearest hundredth
6.2 * 10 to the third power equals
Conduct a hypothesis test for each sample at the .01 level of significance and determine what action, if any, should be take. provide the test statistic and p-value for each test.
Which of the following is less than 6.5 x 10^-5.
A. 1.4 x 10^-3
B. 2.5 x 10^-4
C. 7.8 x 10^-5
D. 4.6 x 10^-6
[tex]4.6\times10^{-6}[/tex] is less than [tex]6.5\times10^{-5}[/tex]. Therefore, option D is the correct answer.
Given that, [tex]6.5\times10^{-5}[/tex].
We need to find which is less than [tex]6.5\times10^{-5}[/tex].
What is scientific notation?The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.
Now, [tex]6.5\times10^{-5}[/tex] =0.000065
[tex]1.4\times10^{-3}[/tex] =0.0014
[tex]2.5\times10^{-4}[/tex] =0.00025
[tex]7.8\times10^{-5}[/tex] =0.000078
[tex]4.6\times10^{-6}[/tex] =0.0000046
[tex]4.6\times10^{-6}[/tex] is less than [tex]6.5\times10^{-5}[/tex]. Therefore, option D is the correct answer.
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Sara tells Michael she is 160 centimeters tall, while Michael says he is 60 inches tall. If there are 2.54 centimeters in an inch, who is taller?
the cost of an item is 100% of its price. what number goes in place of ? in the addition problem?
The answer is 100 thats all you have to put trust me.
The local park has 4 bike racks . Each bike rack can hold 15 bikes . There are 16 bikes in the bike racks.What expression shows the total number of empty spaces in the bike racks ?
In the 1939 movie The Wizard of Oz, when the brainless Scarecrow is given the confidence to think by the Wizard(by merely handing him a diploma, by the way), the first words the Scarecrow utters are, “The sum of the square roots of any two side of an isosceles triangle is equal to the square root of the remaining side.” An isosceles right triangle is just a right triangle having both legs the same length. Supposed that an isosceles right triangle has legs each length of 3. What is the length of the hypotenuse? Is the Scarecrow’s assertion valid? This question illustrated the true value of a diploma without studying.
The equation that the scarecrow uttered can be expressed mathematically as:
sqrt (C) = sqrt (A) + sqrt (B)
where A, B, and C are the sides of the triangle
Since the triangle is an isosceles, therefore A = B and
sqrt (C) = 2 sqrt (A)
given that the measure of the leg is 3, A = 3, C is:
sqrt C = 2 sqrt (3)
sqrt C = 3.464
C = 12
In a any triangle, the sum of two sides must be greater than the third side, since in this case C > A + B therefore the Scarecrow is not correct because the correct relationship should be A + B > C.
To find the correct hypotenuse, we start with the Pythagorean equation:
C^2 = A^2 + B^2
So what the scarecrow mistakenly did was to ignore the “+” symbol during the square root. Taking the square root on both sides, the correct equation is:
C = sqrt (A^2 + B^2)
Calculate for C, since A = B = 3:
C = sqrt (3^2 + 3^2)
C = 4.24
So now A + B > C and this is now correct.
Help me please ASAP need to get this done.
Answer:
39 mph
15 mph and 28 mph
Median
Median
It shows the median speed.
Step-by-step explanation:
solving a mathematical problem without the use of paper and pencil,calculator, or computer is called using _________ math
Phil has three times as many rocks as peter together they have 48 rocks how many more rocks does Phil have been Peter
A ticket agency sells tickets to a basketball game.The agency charges $32.50 for each ticket, a convenience charge of $3.30 for each ticket and a processing fee of $5.90 for the entire order. The total charge for an order is $220.70. How many tickets were purchased?
Division is one of the four fundamental arithmetic operations. The number of tickets purchased is 6.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given the following details as shown below.
The agency charges $32.50 for each ticket, A convenience charge of $3.30 for each ticket And a processing fee of $5.90 for the entire order. The total charge for an order is $220.70.Let M represent the number of tickets purchased. Therefore, we can write,
Total charge = cost of each ticket x M + convenience charge x M + processing fee
220.70 = 32.50M + 3.30M + 5.90
Subtract 5.90 on both sides
220.70 - 5.90 = 32.50M + 3.30M
214.8 = 35.8M
Divide both sides by 35.8
6 = M
This means the number of tickets purchased is 6.
Thus, the number of tickets purchased is 6.
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