Find the probability of each event.
A politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important. Just before the speech, she drops all of the cards and picks them up in a random order. What is the probability that cards #1, #2, and #3 are still in order on the top of the stack?
Answer:
The probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Step-by-step explanation:
Since a politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important, and just before the speech, she drops all of the cards and picks them up in a random order, to determine what is the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack, the following calculation must be performed:
1/13 x 1/13 x 1/13 = X
0.076 x 0.076 x 0.076 = X
0.00045 = X
0.00045 x 100 = 0.045
Therefore, the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Need help with work
Answer:
No
Step-by-step explanation:
I don’t want to help you :)
We can use the Pythagorean Theorem to solve the triangle for x.
[tex]25^2=14^2+x^2[/tex]
[tex]625=196+x^2[/tex]
[tex]x^2=429[/tex]
[tex]x=\sqrt{429}[/tex]
x≈20.7
Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
32 B (4 x 3)2 C (4 + 3)2 D 4 + 3
Find the measure of the indicated angle to the nearest degree.
A) 16°
C) 65°
B) 23°
D) 18°
9514 1404 393
Answer:
C) 65°
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(?) = 25/59
? = arccos(25/59) ≈ 64.93°
The indicated angle is about 65°.
_____
You can see that the figure is drawn approximately to scale and that the angle is more than 45°. (The unmarked leg is longer than the given leg.) The only answer choice that is more than 45° is the one shown above.
Eighteen students passed the Science Test. If 18 students is 72% of the total number of students in the class, how many students are in the class?
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let the total number of students in the class= x
No. of students who passed the test = 18 = 72% of x = 72x/100
Therefore, 72x/100=18
=72x=18*100=1800
=x=1800/72= 25 students.
Hence, total number of students in the class= 25 students
Martika surfs with her friends at Virginia Beach. Her friend, Mark caught 8 waves out of 20 possible waves to ride in the shore. They plan to stay out in the water for 50 more waves. How many of the 50 waves do you predict Mark will catch?
Answer:
40 waves
Step-by-step explanation:
Prob (Mark catches waves) = Times waves caught / Total waves = 8 / 20 = 4 / 5 = 20%
Predicted waves out of 50 , caught = 4 / 5 or 20% of 50 = (4 / 5) x 50 = 40
Alternatively, multiplying numerator & denominator of wave catch probability ie 4 / 5 with 10 each , we get (4 x 10) / (5 x 10) = 40 / 50 . This also signifies 40 out of 50 waves are predicted to be caught.What is the value of 2x + 3y when x = 5 and y = 2?
A. 6
B. 7
C. 12
D. 16
E. 19
Answer:
16
Step-by-step explanation:
which one is it?
will mark brainliest only if correct
Answer:
540°
Oct = 1080 °
Cir = 2160 °
2160 ° ÷ 1080 ° = 2
1080 ° ÷ 2 = 540°
Step-by-step explanation:
Mark as brainllest
Answer:
D, 1080
Step-by-step explanation:
degrees = (n-2)180, if n is the number of sides.
What type of triangle is this triangle?
acute isosceles
obtuse isosceles
Right isosceles
acute scalene
Answer:
obtuse isosceles
Step-by-step explanation:
An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle). It is not possible to draw a triangle with more than one obtuse angle. Note: It is possible for an obtuse triangle to also be scalene or isosceles. An equiangular triangle has three congruent angles.
Hello could someone please help me with this and explain how to do it thank you:) 7n= 301
answer:
n=43
Step-by-step explanation:
Divide both sides by 7:
[tex]\frac{7n}{7}=\frac{301}{7}[/tex]
simplify: n=43
Guys if there are 5 cookies and my friend named Jake ate 5 cookies how much would I have left??
Answer:
0 none jake ate them all
Step-by-step explanation:
Answer:
Step by step explanation
none
one solution of x^2 - 64 = 0 is 8. what is the other solution
Given:
The equation is:
[tex]x^2-64=0[/tex]
One solutions is 8.
To find:
The other solution of the given equation.
Solution:
We have,
[tex]x^2-64=0[/tex]
It can be written as:
[tex]x^2-8^2=0[/tex]
[tex](x-8)(x+8)=0[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Using zero product property, we get
[tex]x-8=0[/tex] and [tex]x+8=0[/tex]
[tex]x=8[/tex] and [tex]x=-8[/tex]
It is given that the one solutions is 8.
Therefore, the other solution is -8.
According to the histogram, how often has Illinois had between 19 and 36 tornadoes in the same year?
Answer:
9 times
Step-by-step explanation:
Answer:
9 times
Step-by-step explanation:
i got 100%
PLEASE HELP, MARKING BRAINLIEST !!!
What is the surface area of the prism ?
Answer: 1726
Step-by-step explanation:
A=2(wl+hl+hw)
A=
2
w
l
h
l
h
w
=
2
6.5
29
19
29
19
6.5
=
1726
Which one is an example of an answer that has no-solutions? *
Answer:
3 = 6
Step-by-step explanation:
8.
Which of the quadratic functions has the narrowest graph?
A. y = 1/9x2
B. y = –x2
C. y = 1/4x2
D. y = 4x2
Answer:
D: y = 4x^2
Step-by-step explanation:
The graph for which the absolute value of the coefficient of x is largest has the narrowest graph. That takes us immediately to D: y = 4x^2.
Question #5: You decided to paint one of the walls in the dining room the color blue. The shape of the wall is shown below. One gallon of paint covers 50 square feet. The wall will need two coats of paint. How many gallons of paint will you need to buy?
Total area of the wall:
Gallons of paint needed:
Answer:
Step-by-step explanation:
Draw a horizontal line from the top corner of the left wall to the right wall. Now you have a rectangle on the bottom 8’x10’ (80 square feet) and a triangle on the top with a height of 5’ and a base of 8’. 1/2 base times height =20. You need to paint 100 sq feet so you need 2 gallons.
I need help with this question please help me
What is the value of the expression -9 x 2.2?
Work out the size of an exterior and an interior angle of a regular 18-sided polygon.
Answer:
160 and 20 degrees
Step-by-step explanation:
A bag contains 6 marbles, chosen randomly from a bin of red and green marbles. What is the probability that the bag contains at most 1 red marbles?
Answer:
1/6
Step-by-step explanation:
Since There are 6 marbles in total and possibly one red marble than its 1/6.
Im not sure if that makes sense but i hope it does :)
Kevin needs to buy some cardboard to build a box 11 inches long, 7 inches wide, and 10 inches high. How much cardboard is needed to build the box?
Answer:
770 inches of cardboard is needed to build this box
Step-by-step explanation:
Use the formula for cubes B x W x H
The base of the cube will be 7 inches the length is 11 inches, and the height is 10 inches. Then, we multiply.
7 x 11 x 10 = 770
Please answer this math question for me
Answer:
Hello! answer: e = 103 f = 77
and I don't really know what d is sorry! but If I had to guess id say 90
5/8 + 3/4
—————
-2/3 - 5/6
Help please
Answer:
-11/12
Step-by-step explanation:
plzzz help mee! asap
Answer:
22
Step-by-step explanation:
Which system of equations has infinitely many solutions?
A
4x+2y=8
4x−2y=8
B
4x−2y=8
−4x+2y=−8
C
4x+2y=8
4x+2y=10
D
4x+2y=8
−4x−2y=−10
Answer: B.
[tex]4x - 2y = 8\\-4x + 2y = -8[/tex]
Step-by-step explanation:
Let's solve your system by elimination.
4x−2y=8;−2x+2y=6
Add these equations to eliminate y:
4x-2y=8
-2x+2y=6
2x=14
Substitute 7 for x in 4x−2y=8:
(4)(7)−2y=8
−2y+28=8 (Simplify both sides of the equation)
−2y+28+−28=8+−28 (Add -28 to both sides)
−2y=−20
−2y/−2=−20/−2 (Divide both sides by -2)
y=10
you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it. how much will you pay for shipping
Answer:
$127.5
Step-by-step explanation:
150*15%=22.5.
150-22.5=127.5
Don't buy this, totally not worth it.
Answer:
$22.5
Step-by-step explanation:
We will pay 15% of 150 for shipping: 150 * 0.15 = 22.5
PLEASE GIVE BRAINLIEST MEANS ALOT
20 points
3. The half-life of Co-60 is 5.3 years. If the initial mass of the sample is 1
kg, how much will remain after 15.9 years.
Answer:
0.125kg
Step-by-step explanation:
an equation can be made from teh problem
f(x)=1(0.5)^(x/5.3)
x is the amount of years
plug in 15.9 for x
f(15.9)=0.125
Please help I have 15!!!!!!!
Answer:
True
Step-by-step explanation:
x^a = b
x^( a / a ) = b^( 1 / a )
x^1 = b^( 1 / a )
x = b^( 1 / a )
The probability of the number of defective circuit boards in a shipment is given in the tables for two different companies. Company A A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.21, 0.30, 0.41, 0.08. Company B A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.18, 0.32, 0.28, 0.22. What is the expected number of defective circuit boards for company A? What is the expected number of defective circuit boards for company B? Which company should be chosen for purchasing circuit boards? Explain.
Answer: company A: 1.36
company B: 1.54 A; lowest expected number of defective boards
Step-by-step explanation:
i got it right on edge
The weighted average is a generalization of the expected value. The company that should be chosen for purchasing circuit boards is Company A.
What is the expected value?The weighted average is a generalization of the expected value. The expected value is the arithmetic mean of a large number of independently chosen random variable outcomes.
A.) The expected number of defective circuit boards for company A is,
Expected number = (0.21×0) + (0.30×1) + (0.41×2) + (0.08×3) = 1.36
B.) The expected number of defective circuit boards for company B is,
Expected number = (0.18×0) + (0.32×1) + (0.28×2) + (0.22×3) = 1.54
C.) Since the expected number of defective circuit boards for Company A is less, therefore, the company that should be chosen for purchasing circuit boards is Company A.
Learn more about Expected value:
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