What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction
Answer:
[tex]Pr = \frac{1}{26}[/tex]
Step-by-step explanation:
Given
In a deck of card, we have:
[tex]Cards = 52[/tex]
[tex]King[Heart] = 1[/tex]
[tex]Queen[Spade] = 1[/tex]
Required
The probability of obtaining a king of heart or a queen of spade.
The probability of king of heart is:
[tex]P(King[Heart]) = \frac{n(King[Heart])}{Cards}[/tex]
[tex]P(King[Heart]) = \frac{1}{52}[/tex]
The probability of queen of spade is:
[tex]P(Queen[Spade]) = \frac{n(Queen[Spade])}{Cards}[/tex]
[tex]P(Queen[Spade]) = \frac{1}{52}[/tex]
The required probability of obtaining a king of heart or a queen of spade. is:
[tex]Pr = P(King[Heart]) + P(Queen[Spade])[/tex]
[tex]Pr = \frac{1}{52}+ \frac{1}{52}[/tex]
Take LCM
[tex]Pr = \frac{1+1}{52}[/tex]
[tex]Pr = \frac{2}{52}[/tex]
Simplify
[tex]Pr = \frac{1}{26}[/tex]
32614 round to nearest 100 place?
Answer:
32600
Step-by-step explanation:
Jon throws a ball into the air off a platform. The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21 where y is the height, in feet, above the ground when the ball has traveled a horizontal distance of x feet. What is the factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground?
A. (x+7)(-2X+3)
B. (x-7)(-2x-3)
C.(2x+7)(x+3)
D. (2x-7)(-x-3)
Answer:
B (-2x - 3 )(x - 7) = (x - 7)(-2x - 3 )
Step-by-step explanation:
y = -2x² + 11x + 21
find x when y is zero (the ground)
(-2x - 3 )(x - 7) = 0
(-2x - 3 ) = 0, (x - 7) = 0
x = -1.5 and x = 7 since Jon did not throw the ball behind him (remember he is standing on a platform) the only possible answer is 7 feet in front of him, but they the question didn't ask for x, so I would answer B. The answer I got and multiplicans are in reverse order from their choice.
The factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground is (x-7)(-2x-3)
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² +bx+c=0. with a ≠ 0 .
Given that Jon throws a ball into the air off a platform.
The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21
y= -2x² + 11x + 21.
Let us factor out the equation by quadratic equation
-2x² + 11x + 21
When we factor out the equation becomes as (x-7)(-2x-3)
Let us verify the solution by applying distribution property
-2x²-3x+14x+21
-2x²+11x+21
Hence, (x-7)(-2x-3) is the factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground.
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A vehicle moves along a straight road. The vehicle's position is given by f(t) , where tt is measured in seconds since the vehicle starts moving. During the first 10 seconds of the motion, the vehicle's acceleration is proportional to the cube root of the time since the start. Which of the following differential equations describes this relationship, where k is a positive constant?
a. df/dt = kſ
b. df/dt - = kgf
c. d²f/dt = kyt dt2
d. d²f/dt = ky
Answer:
Step-by-step explanation:
a
or D
Someone please help me. I will mark brainliest. I really need help ASAP.
Answer: 38.8
Step-by-step explanation:
use formula C = π * D
Diameter = 6
C = π * 6
C = 18.8495559215 = 18.8
18.8 + 10 + 10 = 38.8
'All factors of 70 are even numbers.'
Is he correct?
Ores
Yes
No
No
Explain your answer.
Answer:
No
Step-by-step explanation:
70 is divisible by 5. 5 is not an even number.
Answer:
No
Step-by-step explanation:
The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.
How many miles will light travel in one day if the speed of light is 300,000,000 meters per second.
(1.62 km = 1 mi)
Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
Practice
In the figure, a || 6. What is the value of x?
Answer:
x = 40
Step-by-step explanation:
3x + 9 = 129 Alternate Exterior Angles Theorem
-9 -9
3x = 120 divide by 3
x = 40
1.1.4 practice scale drawing
Answer:
Question Unclear
Step-by-step explanation:
Is this relating to your topic?
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Chris has 150 Pokemon cards. Each week,
Chris purchases 15 Pokemon cards to add
to his collection. Which inequality can be
used to find w, the number of weeks after
starting his collection when Chris will have
more than 500 Pokemon cards in his
collection?
A.
150w + 15 < 500
B.
15W + 150 < 500
C.
150w + 15 > 500
Need He
D.
15W + 150 > 500
Answer:
D
Step-by-step explanation:
He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)
HELP ME I NEED THIS SO BADLY AND QUICK IF POSSIBLE
Answer:
B
Step-by-step explanation:
Please explain step by step.
Answer:
B
Step-by-step explanation:
If you at the graph it shows that the dots in bettwen Y side (left side)
so the first dot is 15 due to it between 10 and 20 and the 2nd dot is 20
5days a week 4 hours a day at $10.00 a day =?
evaluate (11.6)^2 by using (a^2+b^2+2ab)
Answer:
[tex]134.56[/tex]
Step-by-step explanation:
Break 11.6 into addenda.
[tex](11 + 0.6)[/tex]
Apply the binomial expansion method.
[tex](11 + 0.6)(11 + 0.6)[/tex]
[tex]11 {}^{2} = 121[/tex]
[tex]2(11)(0.6) = 13.2[/tex]
[tex]0.6 {}^{2} = 0.36[/tex]
Add them all up and you get.
[tex]134.56[/tex]
In the diagram, KLMN is a rectangle, and the two shaded regions are squares. If the length of KL is 6 centimeters, and the length of KN is 14 centimeters, which is closest to the length of ST in centimeters?
Answer:
15.2cm
Step-by-step explanation:
From the given diagram;
KN = SN = 14cm
KL = NT = 6cm
Required
ST
Using the Pythagoras theorem;
ST² = SN² + NT²
ST² = 14² + 6²
ST² = 196 + 36
ST² = 232
ST = √232
ST = 15.2cm
Hence the length of ST is 15.2cm
Help. What’s the answer to this problem?
Answer:
C) Yes, it’s a reflection over line f.
Step-by-step explanation:
It’s a reflection over line f.
Question 1 of 10
Which function results after applying the sequence of transformations to
Rx) = x5?
• compress vertically by
• shift left 2 units
• shift down 1 unit
O A. g(x) = }(x-2)5.1
O B. g(x) = + (x + 2,5-1
O C. g(x) = (3x+2)5-1
O D. g(x) = ž (x-1)5-2
HELP PLEASE ❗️❗️❗️❗️
Answer:
A (g(x) = }(x-2)5.1).
Step-by-step explanation:
The function which results after the sequence of transformations given is B. g(x) = 1/2 (x + 2)⁵ - 1.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given function is,
f(x) = x⁵
When a function is compressed vertically, then new function formed will be of the form, k f(x), where k is the factor that is compressed.
After compress vertically by 1/2,
f(x) changes to 1/2 f(x) = 1/2 x⁵
After the horizontal translation of 2 units to the left,
1/2 f(x) changes to 1/2 f(x + 2) = 1/2 (x + 2)⁵.
After vertical translation of 1 unit to the down,
1/2 f(x + 2) changes to 1/2 f(x + 2) - 1 = 1/2 (x + 2)⁵ - 1
Hence the correct option is B . g(x) = 1/2 (x + 2)⁵ - 1.
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A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:
pls help asap, ill give brainiest
The answer is D
If this helped a brainliest would be appreciated!
A shop advertised "Everything half price
in our sale”, but also now advertises that
there is "An additional 15% off sale
prices":
Overall, this is equivalent to what
reduction on the original prices?
Your answer would be 57.5%.
I need help figuring this out, thank you! :)
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8Help thanks in advance
Answer:
C) 2/7, 1/2, 5/6, 4/2
Step-by-step explanation:
Find the 8th term of the geometric sequence show below
Answer:
Alli khanaw .................
Answer:
8x^36
Step-by-step explanation:
first term (a) = [tex]8x^{8}[/tex]
Second term (t2)= [tex]8x^{12}[/tex]
common ratio (r)
= [tex]\frac{8x^{12} }{8x^{8} }[/tex]
= [tex]x^{4}[/tex]
now the 8th term of the G.S is
t8 = [tex]ar^{n-1}[/tex]
= [tex]8x^8 * (x^4)^8^-^1[/tex]
= [tex]8x^8 * (x^4)^7\\[/tex]
= [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]
hope it will help
PLEASE HELP PLEASE (dont do links)
Answer:
B
-2(0)²+24(0)-54
= -54
Answer:
I think its C
Step-by-step explanation:
y intercepts (0,-54)
Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4
Type the appropriate values to complete the sine function.
Answer:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
Step-by-step explanation:
we want to figure out the equation of a sine function that has the following characteristics.
Amplitude: 7Period: 9π Phase shift: 1/4the standard form of sine function is given by
[tex] \displaystyle y = a\sin(bx-c)+d[/tex]
where:
a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shiftFinding a and phase shift:
a and c is simply given which is
a=7C=¼finding b:
using the equation we acquire:
[tex]\dfrac{2\pi}{b}=9\pi[/tex]
solving the equation for b,we obtain:
b=2/9
finding d:
Since d Isn't mentioned, we would assume it 0
finding the equation:
substitute what we got:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
and we're done!
What point is closest to x axis
Answer:
7 is the smallest number making it the closest to the x- axis.
Step-by-step explanation:
Rewrite by completing the square f(x) = x2 - 6x +43
Answer:
f(x) = (x - 3)^2 + 34
Step-by-step explanation:
Use technology or a z-score table to answer the question.
The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.
Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?
23.3%
31.2%
45.5%
76.73%
Answer:
46% is the percent of the bags of baby carrots that have between 90 and 100 carrots
Step-by-step explanation:
The baby carrot is normally distributed.
z = (x - µ)/σ
x is equal to number of baby carrots
µ = mean
σ = standard deviation
Substituting the given values, we get -
90 ≤ x ≤ 100
z = (90 - 94)/8.2 = - 0.49
For z value of -0.49, the probability is 0.31
For x = 100
z = (100 - 94)/8.2 = 0.73
For z value of 0.73, the probability is 0.77
P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46
The percent of the bags of baby carrots having carrots between 90 and 100 carrots is 0.46 × 100 = 46%
Find the erea of the trapezoid.
9514 1404 393
Answer:
32 yd²
Step-by-step explanation:
Use the area formula with the given dimensions.
A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h
A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards
The area of the trapezoid is 32 square yards.
Show your full solution
1. How much larger is the pizza in a circular pan with a 14-inch diameter than a pizza made in square pan with sides measuring 14 inches?
2. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, to leaving a margin of 3 cm all around. What is the area of a photograph?
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
