Answer:
c. 0.0398.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we find each separate probability, and then multiply them.
First winner is a chemistry major
23 chemistry majors out of 61 students. So
[tex]P(A) = \frac{23}{61}[/tex]
Second winner is a chemistry major:
Considering the first event, 22 chemistry majors out of 60 students. So
[tex]P(B) = \frac{22}{60}[/tex]
Third winner is an undecided major;
Considering the first two events, 17 undecided out of 59 students. So
[tex]P(C) = \frac{17}{59}[/tex]
Desired probability:
[tex]P(A \cap B \cap B) = P(A)P(B)P(C) = \frac{23}{61} \times \frac{22}{60} \times \frac{17}{59} = \frac{23*22*17}{61*60*59} = 0.0398[/tex]
So option c.
two congruent squares are shown in figures 1 and 2 below
Answer:
Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2
Answer:
The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.
Step-by-step explanation:
I'm right and if you think I'm wrong then you're wrong
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this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!
Angles and are supplementary. Find the measure of angle C
Answer:
Angle C = 106 degrees
Step-by-step explanation:
I'm thinking the question should read "Angles a and C are supplementary" (software error, not yours)
Supplementary angles add up to 180 degrees
180 - 74 = 106 degrees
Which is correct answer ??
Answer:
.....
Step-by-step explanation:
attach the question properly
Find the volume of the cone. Round to the nearest tenth.
10 mm
9 mm
Volume:
mm3
Select the correct answer from each drop-down menu.
The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation that could be used to find the width, w, of the rectangle.
Answer:
(2w^2) + (-1w) + (-91)
Step-by-step explanation:
The equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.
What is the Area of a Rectangle?Area pf a rectangle = length × width
Given the following:
Area of rectangle = 91 in.²Width = wLength of the rectangle = 2w - 1Equation for finding w, using the area formula, would be:
(2w - 1)(w) = 91
2w² - w - 91 = 0
Therefore, the equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.
Learn more about area of rectangle on:
https://brainly.com/question/25292087
2(7 - 8x) = 32 – 10x
Answer:
14-16x=32-10x
14-6x=32
-6x=18
x=-3
hope this helps
have a good day :)
Step-by-step explanation:
What is the perimeter of rectangle JKLM
Answer:
16 units
Step-by-step explanation:
Answer this question please ASAP!!
A or the first answer shown
Answer:
No it is not close to half of the data below the mean and half the data above the mean
Can you please help me
9514 1404 393
Answer:
x = 95°y = 75°arc ABC = 150°Step-by-step explanation:
The relevant relations are ...
an inscribed angle is half the measure of the arc it interceptsopposite angles of an inscribed quadrilateral are supplementary__
Using the second relation, ...
x = 180° -85° = 95°
y = 180° -105° = 75°
Using the first relation, ...
arc ABC = 2y = 2(75°) = 150°
A triangle has vertices of (-3,3),(-3,2), and (1,-2). What are the coordinates after dilating from the origin by a scale factor of 1/2?
Answer:
The coordinates after a dilating the triangle by a factor of 1/2 would be (-1.5, 1.5), (-1.5, 1) and (0.5, -1), respectively.
Step-by-step explanation:
Since we are dilating from the origin of the graph, (0, 0), all we need to do is multiply each vertex by the given scale factor.
Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Answer:
Step-by-step explanation:
A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
its C and D i think good luck people
<3
Angle measure labeled a
The arc mesure labeled c
Step-by-step explanation:
angle measure a =48/2=24°
the arc measure =360°-48°=312°
stay safe healthy and happy.Which inequality is graphed below?
Answer:
3x-2y>6
Step-by-step explanation:
What type of angles are 4 and 5
Answer:
Alternate interior angles.
The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines
Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.
Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.
When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.
The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.
To know more about alternate interior angles. here
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Determine the equation of the circle graphed below.
Answer:
(x - 2)² + (y + 4)² = 29
Step-by-step explanation:
Standard form
(x - h)² + (y - k)² = r²
(h, k) is the center and ris the radius
-----------------------------------
For center (2, -4)
(x - 2)² + (y + 4)² = r²
use the distance formula to find d² which is the same as r²
r² = d² = (x2 - x1)² + (y2 - y1)²
r² = (4 - 2)² + (1 - -4)²
r² = 2² + 5²
r² = 29
Now the equation becomes
(x - 2)² + (y + 4)² = 29
What is the distance between the point (4,7) and its reflection over the x-axis, as shown on the graph below?
Answer: 14
Step-by-step explanation:
Pleaseee helppp I have no cluee!!!
Answer:
the correct answer is Victoria's answer
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Answer:
1/3
Step-by-step explanation:
Divide the numerator and denominator by 6.
6/18 = 1/3
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
sorry to burst your bubble but thats 5 ponits
Step-by-step explanation:
Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for whitefly.
Required:
a. What is the average number of fields sampled that are infested with whitefly?
b. Within what limits would you expect to find the number of infested fields, with probability approximately 95%?
c. What might you conclude if you found that x=25 fields were infested? Is it possible that one of the characteristics of a binomial experiment is not satisfied in this experiment? Explain.
Answer:
a. 250 fields
b. 220 to 280 fields
c. Fields are not independent
Step-by-step explanation:
a. The average number of fields sampled that are infested with whitefly =
number of fields X Percentage sampled, 10%
= 2500 X 10% = 250 fields
b. Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance
σ = √nab
= √na(1-a) = √2500 X 10% X (1- 10%)
= √225 = 15
Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large
μ - 2σ = 250 - 2(15) = 220
μ + 2σ = 250 + 2(15) = 280
Approximately 220 to 280 fields are expected to be infested going by 95% probability observation
c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.
Use the circle below for questions 13-16
Answer:
What circle? and where are the questions?
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
20?
Step-by-step explanation:
Answer: 8.9
Step-by-step explanation:
To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]
The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.
So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.
[tex]a^2 + b^2 = c^2[/tex]
[tex]8^2+4^2=c^2[/tex]
[tex]16 + 64 = c^2[/tex]
[tex]80 = c^2[/tex]
[tex]\sqrt{80}[/tex] = c
Use a calculator, and after rounding, you get 8.9
How many solutions would the following system of equations have? y=3x+2, and y=3x-4 is it 0, 1 or infinite ?
Choose all the expressions that are equivalent to -2(7 + -3).
A. -2 (7) + 2 (3)
B. -2(-7) - 2(3)
C. -2(7) + 2(-3)
D. -2 (7) - 2(-3)
E. -2(7) +-2(-3)
Answer:C
Step-by-step explanation:
What is the volume of the rectangular prism?
50 POINTS
Answer:
A
Step-by-step explanation:
Write the word sentence as an inequality a number b is less than 15
Find the median of these numbers ? 2,7,5,4,3
Answer:
4
Step-by-step explanation:
MARK AS BRAINLIST!!
Answer:
4.
Step-by-step explanation:
The median is the 'middle number.'
In order to find the median of a data set, you must first put the numbers in numerical order.
2, 7, 5, 4, 3
↓
2, 3, 4, 5, 7
The 'middle number' in this data set is 4.
Therefore, the median is 4.
A baker is selling pies his first customer buys 1/2 of all the pies plus 1/2 of a pie. His second customer then buys 1/2 of the pies plus 1/2 of a pie the last customer buys 1/2 of the pies plus 1/2 pie. he has no more pies. how many did he start with?
Answer:
7 pies
Step-by-step explanation:
last customer: ½+½= 1
second customer =( 1×2)+1 = 3
first customer = (3×2)+1 = 7
Question 3 of 10
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
Answer:
Step-by-step explanation:
SEVEN