Given:
Two cards are drawn from a standard deck of 52 cards without replacement.
To find:
The probability that both cards selected for black.
Solution:
We know that,
Total number of cards = 52
Total number of red cards = 26
Total number of black cards = 26
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Probability of selecting first black card is
[tex]\text{Probability}=\dfrac{26}{52}[/tex]
[tex]\text{Probability}=\dfrac{1}{2}[/tex]
Number of remaining total cards = 52-1 = 51
Number of remaining black cards = 26-1 = 25
Probability of selecting second black card is
[tex]\text{Probability}=\dfrac{25}{51}[/tex]
So, the probability that both cards selected for black is
[tex]\text{Probability}=\dfrac{1}{2}\times \dfrac{25}{51}[/tex]
[tex]\text{Probability}=\dfrac{25}{102}[/tex]
Therefore, the required probability is [tex]\dfrac{25}{102}[/tex].
An integer from 300 through 780, inclusive is to be chosen at random, find the probability that the number is chosen will have 1 as at least one digit.
Answer:
93/481Step-by-step explanation:
Total number of integers from 300 through 780, inclusive:
780 - 299 = 481Number of integers with at least one of digit 1:
Hundreds - 0,Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)So in total 50 + 43 = 93The probability is:
P = favorable outcomes/total outcomes = 93/481The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe.
Answer:
Giraffe = 10
Guinea Pig = 4
Tiger = 16
Step-by-step explanation:
G GP T = 30
----------------------------------------------------------
X X-6 (X-6)*4
-----------------------------------------------------------
9 3 12 = 24
----------------------------------------------------------
10 4 16 = 30 ✅
----------------------------------------------------------
sana is senior to Mona by 18 years after 6 years.Sana will be twice as old as Mona. find Mona,s percentage
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.
.
The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
Since the leading degree of the resulting expression is 2, hence the polynomial simplifies to an expression that is a quadratic
Simplifying polynomial expressionsPolynomial expressions are expressions that has a leading degree of 3 and above.
Given the expression
(-5x² - 2x + 4) + (8x² - x - 1) - (x+2)(x-5)
Expand the polynomial
(-5x² - 2x + 4) + (8x² - x - 1) - (x² -3x - 10)
Collect the like terms
-5x² + 8x² - x² - 2x - x + 3x + 4 - 1 + 10
2x² + 13
Since the leading degree of the resulting expression is 2, hence the polynomial simplifies to an expression that is a quadratic
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Students set up the experiment shown in their Biology class. After 24 hours, students noticed gas had accumulated in one of the inverted test tubes.
They measured the amount of gas.
What would be a best explanation for the gas accumulated in one of the inverted test tubes?
Answer: Light caused the eludes plants to photosynthesize, releasing O2 gas
Students replicated the experiment carried out in biology class, and after observing for 24 hours that gas had accumulated in one of the inverted test tubes, it is by light caused to elodea plant to photosynthesize and release oxygen, hence option D is correct.
What is the photosynthesis experiment?There are numerous studies that show photosynthesis in action. For instance, when an elodea plant is exposed to sunlight, gases are emitted, collected in a tube, and tested to see if they contain oxygen.
This shows that the plant creates oxygen and glucose when exposed to sunlight.
Therefore students replicated the experiment carried out in biology class, and by the plant during the process of photosynthesis, hence option D is correct.
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Which is the correct label of the line?
points C and D lie on line a
(4 points)
Select one:
a. There is a horizontal line with arrows on either end over the letters A C.
b. There is a horizontal line with arrows on either end over the letters CD.
c. D
d. Two vertical lines beside the letter A
Answer:
b horizontal with arrows and c and d
Answer: CD
Step-by-step explanation: I took the test.
8/10/2022
A circle representing a pool is graft with a center at the origin grant enters the pool at point A and swims over to a friend who is located at point B
which equation represents grants path
Y=2-4x
Y=4-x/2
Y=6-x/4
Y=8-2x
In 2006, 65.2 million people subscribed to cable television. In 2013, that number had decreased to 54.2 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Given :
In 2006, 65.2 million people subscribed to cable television.
In 2013, that number had decreased to 54.2 million.
To Find :
The percent decrease in the number of cable TV subscribers from 2006 to 2013.
Solution :
Decrease in the number of cable TV subscribers from 2006 to 2013 is :
[tex]Percetage\ Decrease = \dfrac{Decrease\ in \ price}{Initial\ price}\times 100\\\\Percetage\ Decrease = \dfrac{65.2-54.2}{65.2}\times 100\\\\Percetage\ Decrease = 16.87[/tex]
Therefore, percentage decrease is 16.87 %.
If PQ=12, QR=20, PS=12, and SR=20, then QS=
Answer:
QS=23.32
Step-by-step explanation:
by Pythagorean theoremh square is equal to p square + b square
so h=√12×12+20×20h=√144+400h=√544h=23.32Buddy mark me as a brainlist
I need help! Whoever answers get brainlist. Please write a step by step so I know how to do it next time.
Answer: 8/3
Step-by-step explanation:
So first what you do is you have to add the whole number to the numerator and you do that by multiplying the whole number by the deniminator which is 6. Now you add the 6 to the numerator which is 8, so you get 8/3.
Sorry this got so complicated. Hope this helped!
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Your value to live in a quiet apartment is $400. The neighbor living above your apartment makes noise using her treadmill every day. She values running at $500. Your neighbor has the right to run in her apartment. If the proper conditions are met, what does the Coase Theorem suggest is the likely outcome in this case
Answer:
continuation
Step-by-step explanation:
Since you value a quiet apartment at $400, which is less than $500, you might offer $400 for your neighbor to stop, but she values running higher, so she would likely refuse, resulting in the continuation of what's happening.
The correct statement to the given query is "The neighbor pays you $401 to continue running".
Coase's theorem predicts that throughout the face of such an external cost, contracting groups or two entities would be prepared to arrange as well as achieve a satisfactory solution.Because of this, one's neighbor would then compensate them at minimum the worth of their condominium so that he would rather start operating upon the treadmills.Learn more about Coase theorem here:
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TARGET SELLS 24 BOTTELS OF WATER FOR 3 DOLARS AND 36 DOLARS WHICH IS THE BETTER BUY AND BY HOW MUCH
Answer:
The 36-pack is a better buy by $0.50 per 36 bottles.
Step-by-step explanation:
24 bottles for $3 compared to 36 bottles for $4
Unit rates:
$3/24 = $0.125/bottle
$4/36 = $0.111/bottle
The 36-pack is a better buy since the unit price is lower.
$0.125 - $0.111 = $0.013888...
$0.01388888... * 36 = $0.50
Answer: The 36-pack is a better buy by $0.50 per 36 bottles.
fill in the blank pls i need help
Answer:
x=5
y=30
y=15
Step-by-step explanation:
how to change a vector direction by 90 degree
Answer:
multiply the X part of the vector by -1, and then swap X and Y values
Step-by-step explanation:
Any help please thank you I appreciate it
Answer:
114.8 degrees
Step-by-step explanation:
supplementary angles basically means angles equal to 180 degrees
Dertermine the quotient of 3/7 divided by 2/3 pls help
Answer: 9/14
Step-by-step explanation:
hope this helps!
The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machine is properly calibrated , the mean inflation pressure is 13.5 pounds, but uncontrollable factors cause the pressures of individual footballs to vary randomly from 13.3 to 13.7 pounds. For quality control purposes, the manufacturer wishes to estimate the mean inflation pressure to within 0.025 pound of its true value with a 99% confidence interval. What sample size should be used
Answer:
106
Step-by-step explanation:
Given that:
Mean (m) = 13.5 pounds
Error margin = 0.025
α = 99%
Variation interval = range = 13.3 to 13.7
Standard deviation (σ) estimate from range :
Range / 4
(13.7 - 13.3) /4
= 0.4 / 4
= 0.1
Zcritical at 99% = 2.576
Using the formula :
Sample size (n) = [ (Zcritical * σ) / M. E]^2
n = [(2.576 * 0.1) / 0.025]^2
n = (0.2576 / 0.025)
n = 10.304^2
n = 106.172
n = 107 samples
Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.
What is the length of SW?
Answer:
it is indeed B
Step-by-step explanation:
a few years late but its fine right
The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]
Hence the length of SW will be 9.5.
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hallar el valor de x en 3(x-2)+4=x-5
Answer:
exact form 3/2 decimal form 1.5 mixed number form 1 1/2
Step-by-step explanation:
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}[/tex]
☯[tex] \underline{ \underline{ \sf{Question}}} : [/tex]
3 ( x - 2 ) + 4 = x - 5☯ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]
the value of x[tex] \text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}[/tex]
You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.
⇢ [tex] \text{3 × \: x - 3× 2 + 4 = x - 5} [/tex]
⇢ [tex] \text{3x - 6 + 4 = x - 5}[/tex]
On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '
⇢[tex] \sf{3x - 2 = x - 5}[/tex]
Move x to left hand side and change it's sign.
Similarly , move 2 to right hand side and change it's sign.
⇢[tex] \sf{3x - x = - 5 + 2}[/tex]
On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x
⇢[tex] \sf{2x = - 5 + 2}[/tex]
On the right hand side , - 5 + 2 = -3
⇢[tex] \sf{2x = - 3}[/tex]
Divide both sides by 2
⇢[tex] \sf{ \frac{2x}{2} = - \frac{3}{2} }[/tex]
⇢[tex] \boxed{\sf{x = - \frac{3}{2} }}[/tex]
-----------------------------------------------------------------
✏ CHECK :
[tex] \text{3(x - 2) + 4 = x - 5}[/tex]
Substitute [tex] \sf{ - \frac{3}{2}} [/tex] for x into the original equation. And simplify !
⇾ [tex] \sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}[/tex]
⇾[tex] \sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}} [/tex]
⇾[tex] \sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}} [/tex]
⇾[tex] \sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 13}{2} = \frac{ - 13}{2}} [/tex]
Since both sides are equal , x = [tex] \boxed{ - \sf{ \frac{ 3}{2} }}[/tex] is the correct answer.
And we're done !!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
F(x)=3x^2-10x+4, find f(-4)
Answer:
substitute -4 for x
Step-by-step explanation:
A function assigns the value of each element of one set to the other specific element of another set. The value of the function when the value of x is -4 is 92.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that F(x)=3x²-10x+4, therefore, the value of the function can be calculated by substituting the value of x as -4.
Therefore, the value of the function when the value of x is -4 can be calculated as shown below,
F(x) = 3x² - 10x + 4
F(-4) = 3(-4)² - 10(-4) + 4
= 3(16) + 40 + 4
= 48 + 40 + 4
= 92
Hence, the value of the function when the value of x is -4 is 92.
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Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
the ratio: 6:1
Step-by-step explanation:
to make it as a ratio :
We will make 4 years as months
So 4x12 =48
then the ratio: 48:8
6:1
hope this helps
12.3 + 17.8 - ( 3.3 x 2 )
Answer:
23.5
Step-by-step explanation:
12.3 + 17.8 - ( 3.3 x 2 )
12.3 + 17.8 - ( 6.6 )
30.1 - 6.6
23.5
A contractor is building a tower shaped like a tall rectangular prism. He is told that the dimensions of the tower must be 50 ft × 80 ft × 250 ft. The building is to have 20 floors with a 2.5 ft tall portion between each floor and for the roof. What is the volume of each floor of the building?
Answer: 50,000ft^3
Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor
Angela purchased 12 pairs of socks for $54.
What is the unit rate?
Answer:
$4.5 per pair of socks
Step-by-step explanation:
The sum of two numbers is 48. Their difference is −4. Find the numbers.
Answer:
22 and 26
Step-by-step explanation:
Answer:
ig this is free pionts, sry whats the question???
Step-by-step explanation:
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent pls do it step by step
Answer:
33.3%
Step-by-step explanation:
To get the gain percent, first we need to calculate the unit selling price and cost of each cosmetics.
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then one cosmetic will cost 360/12 = Rs. 30
Also if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40
Selling price = Rs. 40
Cost price = Rs. 30
% gain = SP-CP/CP * 100%
% gain = 40-30/30 * 100
% gain = 10/30 * 100
% gain = 100/3
% gain = 33.3%
Hence the percentage gain is 33.3%
Answer:
its ok! I accept apologies
Step-by-step explanation:
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
(f - g)(x) = 2x - 3
Step-by-step explanation:
(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.
Hence, we can define it as:
(3x - 1) - (x + 2)
= 3x - x - 1 - 2
= 2x - 3
Therefore, (f - g)(x) = 2x - 3.
Hope this helped!
can someone help me with this question?
Answer:
what question
Step-by-step explanation:
