Answer:
The two times Tyler selects a shirt from the suitcase are independent events
The probability that he selects a short-sleeved shirt both times is 9/16.
Step-by-step explanation:
We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.
To find the probability, we use the multiplication rule:
[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has
[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]
- 2022 Edmentum
The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
The number of short sleeved shirts are 6
Total number of shirts is 8
The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.
The probability that he picks a short sleeved shirt is (6/8)
The probability that he picks a short sleeved shirt both times is
= (6/8) *(6/8)
= (9 /16)
To know more about Probability
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Aline read a report saying 39% of teachers in the United State were members of a labor union. She wants to test whether this holds true for teachers in her state, so she is going to take a random sample of teachers and see what percent of them are members of a union. Let p represent the proportion of teachers in her state that are members of a union. Write an appropriate set of hypotheses for her significance test.
Answer:
H0: p= 0.39 vs Ha: p ≠ 0.39
Step-by-step explanation:
She wants to test whether this holds true for teachers in her state.
The test is the formulated into the hypotheses.
The null hypothesis would be
H0: p= 0.39 against the claim Ha: p ≠ 0.39
The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.
against the claim
That the the proportion of teachers in her state that are members of a union is not equal to the proportion of teachers in the US that are members of the labor union.
PLEASE HELP what is the area of this?
B. 5 in
5 in
14 in
3 in 1 3 in
14 in
5 in
5 in
Find two numbers that multiply to be -18 and add up to be -7
7 1/2 divided by 3/4 =
Answer:
10
Step-by-step explanation:
[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]
[tex] \frac{60}{6} = 10 \\ [/tex]
does anyone have flvs geometry?
Answer:
Step-by-step explanation: I don't
Answer:
yes
Step-by-step explanation:
I do
What is the exact circumference of the circle?
101 it
201 ft
401 ft
600 ft
Given:
The diameter of a circle = 20 feet
To find:
The exact circumference of the circle.
Solution:
We know that the radius is half of the diameter of the circle.
The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.
The circumference of the circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius.
Substituting [tex]\pi = 3.14, r=10[/tex], we get
[tex]C=2(3.14)(10)[/tex]
[tex]C=(6.28)(10)[/tex]
[tex]C=62.8[/tex]
Therefore, the exact circumference of the circle is 62.8 feet.
Note: All options are incorrect.
Question : find the measure of angles x and y
show your work and write a sentence staring the answer
Answer:
x = 53°, y = 42°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180° for x
x = 180° - (37 + 90)° = 180° - 127° = 53°
48° + y = 90° ( subtract 48° from both sides )
y = 42°
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
PLEASE HELP WITH STEPS SOLVE IN SCIENTIFIC NOTATION WILL GIVE BRAINLIEST
Answer:
use this <3 (helps calculate scientific notation) https://www.calculatorsoup.com/calculators/math/scientific-notation-converter.php
Step-by-step explanation:
help me plzz pllz help now im on a time line
Answer:
Oki, mizuki here to help!
Hi there user, looks like you need help!
Anyways, option B is the correct answer!
Step-by-step explanation:
How to find average speed: distance/time
Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!
Hope this helped!
Step-by-step explanation:
we know that
Speed = Distance/ Time
so the correct answer is B
the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.
Answer:
16 hours
Step-by-step explanation:
120/4 = 30 miles per hour
480/30 = 16 hours
What is the volume of the figure?
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
Erika's first and second quarter grades are shown below. What grade does she need in
math in order to have an overall average equivalent to the first quarter? Write your answer
in the box.
Answer:
She would need an 83 in math if she wants to have an overall average equivalent to the first quarter . Tell me if im wrong
Step-by-step explanation:
please please help!! i don’t know how to do this
Answer:
What is your question I will not see and understand
(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
24 is a common multiple so ill just use that as a denominator:
3/8 = 9/24
1/3 = 8/24
1/4 = 6/24
so then adding those up:
[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]
then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
Let x be the part of the book he read on fourth day.
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]
[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]
does anyone understand this?
Answer:
Hello! answer: 80
Step-by-step explanation:
When doing the Pythagorean theorem you do...
a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...
64 × 64 = 4096 48 × 48 = 2304
4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!
Answer:
c = 80 inches
Step-by-step explanation:
The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]
What is the volume of a cone with a diameter of 20 inches and height of 25 inches?
Answer:
7853.98163in³
Step-by-step explanation:
V=
π
d
2
2
h
=
π
20
2
2
25
≈
7853.98163in³
The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10
1. What is the MEAN age of the children in your neighborhood playschool?
Answer:
Hi there, the correct answer should be...
The mean age of the children is 5.
Step-by-step explanation:
mean:average
1 + 5 + 4 + 8 + 2 + 5 + 10 = 35
35 ÷ 7 = 5
Which equation is equivalent to 6 (y+ 3) — 3 (у — 2) = 18?
A) 6у +3 — 3у – 2 = 18
B) 6у +3 + 3y – 2 = 18
C) 6y+ 18 — 3 — 6 = 18
D) 6y+ 18 — 3y + 6 = 18
Answer:
the answer is D
............
Answer:
The answer is (D)
Step-by-step explanation:
[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]
so i have 136 sq units in surface area of a rectangle how do i get 136
plz helps as so you can
Answer:
well you answered the question in your question: you have Area = 136 square units. How you got it, you need to be more specific. Maybe it's because the side lengths are 2 * 68 for example. If anything provide more info. tried to help the best I can
Step-by-step explanation:
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
The graph on the right. y= 5, 6, 7, 8
what is the value of x,if x=3²
Answer:
x=9
Step-by-step explanation:
x = 3^2
x = 3*3
x=9
list power power set of a:{1,2}
Answer:
Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!
Step-by-step explanation:
Rewrite [tex]f(x)=(x+7)^2-9[/tex] in standard form
Quick pls
Answer: f(x)=x^(2)+14x+40
Convert the decimal, 2.55, into an improper fraction
Answer:2.55 in fraction form is 51/20.
Step-by-step explanation:
Find the surface area of the rectangular prism
2km
4km
6km
Answer:
88km is your answer
Step-by-step explanation:
brainlest pls
Amanda bought 2 CDs that were each the same price. Including sales tax, she paid a total of $29.80. Each CD had a tax of $1.10 . What was the price of each CD before tax?
brainliest
Answer:
13.80 there you go buddy
I need help on this please
Answer:
12√3
Step-by-step explanation:
sin 60° = 18/h
h = 18/sin 60°
h = 12√3
Dos calles tienen las siguientes longitudes 2 2/5 y 1 3/4 de kilometro cual es la longitud total de ambas
Answer:
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
Step-by-step explanation:
Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:
[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]
Para sumar fracciones mixtas, en primer lugar sumas la parte entera:
2+1= 3
Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.
Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:
[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]
Entonces el resultado de la suma es:
[tex]3\frac{23}{20}[/tex]
La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]
If the cylinder above is similar to a second cylinder that has a radius of 10mm, what is the height of the second cylinder
Answer:
The height of the second cylinder is 30mm
Step-by-step explanation:
Given
Cylinder 1:
[tex]R = 15mm[/tex]
[tex]H = 45mm[/tex]
Cylinder 2
[tex]r = 10mm[/tex]
See attachment
Required
Determine h, the height of the small one
To do this, we make use of the following equivalent ratios;
[tex]R : H = r : h[/tex]
This gives:
[tex]15 : 45 = 10 : h[/tex]
Express as fraction
[tex]\frac{15 }{ 45 }= \frac{10 }{ h}[/tex]
Simplify
[tex]\frac{1 }{ 3}= \frac{10 }{ h}[/tex]
Cross multiply
[tex]h *1 = 3 * 10[/tex]
[tex]h = 30[/tex]