Answer:
1 7/24.
Step-by-step explanation:
1 whole 5/8 = 1 5/8 = 1.625
Find common denominators which is 24
So, 5/8 - 1/3 = 7/24
A person bets 1 dollar to b dollars that he can draw two cards from an ordinary deck of cards without replacement and that they will be of the same suit. Find b so that the bet is fair.
Answer:
$3.25
Step-by-step explanation:
In an ordinary deck of cards, we will notice that there are 52 cards.
However, we have 4 suits and 13 cards in each one making a total of 52, right?.
So, the probability that a person draws two cards and they will be of the same suit is:
[tex]P(X) =\dfrac{ \bigg (^4_1 \bigg) \times \bigg ( ^{13}_{2}\bigg) }{ \bigg ( ^{52}_{2} \bigg)}[/tex]
[tex]P(X) =\dfrac{ \dfrac{4!}{1!(4-1)!} \times \dfrac{13!}{2!(13-2)!} }{ \dfrac{52!}{2!(52-2)!} }[/tex]
[tex]P(X) =\dfrac{4}{17}[/tex]
Given that; A person bets 1 dollar to b dollars;
To make the bet fair is;
[tex]\dfrac{4}{17}b - \dfrac{13}{17}(1) = 0[/tex]
[tex]= \dfrac{4}{17}b = \dfrac{13}{17}[/tex]
multiply both sides by 17
4b = 13
b = 13/4
b = 3.25
Therefore, to make the fair, the value of b need to be $3.25
Using the expected value formular, the value of b such that the game is fair is 3.25
Total number of cards in a deck = 52
Number of cards per suit = 13
Number of suits = 4
Selection without replacement :
Club = C ; Spade = S ; Heart = H ; Diamonds = D(C and C) or (H and H) or (S and S) or (D and D)
[(13/52 × 12/51) + (13/52 × 12/51) + (13/52 × 12/51) + (13/52 × 12/51)] = 0.2353
Probability of not selecting a card of the same suit :
1 - 0.2353 = 0.7647For game to be fair :
Σ[(X × P(X)] = 0X : ______ b _____ - 1
P(X): __ 0.2353__ 0.7647
[(0.2353b + (-1 × 0.7647)] = 0
0.2353b - 0.7647 = 0
0.2353b = 0.7647
Divide both sides by 0.2353
b = 0.7647 / 0.2353
b = 3.249
b = 3.25
Hence, the value of b is 3.25
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There are 2 pens for every 9 pencils. There is a total of 16 pens in the classroom. How many pencils are in the classroom? *
Answer:
there are 144 pencils
Step-by-step explanation:
9 · 16 = 144
hope this helps :)
HELP HELP HELP HOEIP
Write the expanded form 0.45 in this way using fractions and using decimals
Answer:
0.4 + 0.05= 0.45
FRACTION FORM:
4/10+ 5/100= 0.45
Step-by-step explanation:
Hope this helps!! Tell me if I'm wrong! :)
Using fractions, 0.45 can be written as [tex]\frac{3}{10}[/tex] + [tex]\frac{3}{20}[/tex]. Using decimals, 0.45 can be written in the form as 0.30 + 0.15.
What is Decimal Numbers?Decimal number system is applicable for both integers as well as non integers. Decimal number include a whole number part and a decimal part separated using decimal point.
Fractions are the numbers which are part of a whole.
All decimal numbers can be written as fractions and fractions can be written in the form of decimal numbers.
The given number is 0.45.
0.45 can be written as [tex]\frac{45}{100}[/tex].
[tex]\frac{45}{100}[/tex] can be expanded in various ways like (40 + 5)/100, (42 + 3)/100 and so on.
[tex]\frac{45}{100}[/tex] can be written in one of the form as [tex]\frac{30}{100}[/tex] + [tex]\frac{15}{100}[/tex].
When simplified, [tex]\frac{30}{100}[/tex] simplified to [tex]\frac{3}{10}[/tex] and [tex]\frac{15}{100}[/tex] simplified to [tex]\frac{3}{20}[/tex].
So 0.45 = [tex]\frac{3}{10}[/tex] + [tex]\frac{3}{20}[/tex].
Now, in the decimal form, [tex]\frac{3}{10}[/tex] = 0.3 and [tex]\frac{3}{20}[/tex] = 0.15
So, 0.45 = 0.3 + 0.15
Hence 0.45 can be expanded in the fractional form as [tex]\frac{3}{10}[/tex] + [tex]\frac{3}{20}[/tex] and in the decimal form as 0.3 + 0.15.
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Ingrid deposit $10,000 in an IRA what will be the value of her investment six years if the investment earning 3.2% per year and is compounded continuously
Answer:
$12116.71Step-by-step explanation:
Given
Deposit = $10000Interest rate = 3.2% PA Interest type = compoundFrequency = continuousTime = 6 yearsCalculation
Total = 10000*e^(rt) = 10000*e^(0.032*6) = $12116.71Answer:12116.71
Step-by-step explanation:
By order of operations, a function f(x) takes a value x and adds 3, then
squares the quantity, and lastly multiplies the value by 2. What order of
operations will be carried out by the inverse of f(x)?
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
Simplify. –12 – 8
20
4
–4
–20
Answer:
The answer would be -20
Please answer ill do anything
Pauline got 9 pounds of
cherries from her tree this year. Last
year she only got 64 pounds. How
many times more pounds did she get
this year than last year?
i think the anser is 55 more pounds
What is the smallest positive composite number that does not have any prime factors less than 20?
Answer:
Factors of 20: 1, 2, 4, 5, 10,
Step-by-step explanation:
Find the simplified product 5/n+1 x n+1/n+3
Answer:
5/n+3 option c on edge
Find the discriminant of 3x^2 + 10x + 7.
Answer:
Thats kinda numberist...
Step-by-step explanation: !ALL NUMBERS MATTER!
Answer:
D=16
Step-by-step explanation:
you can write this on your paper if you need
a= 3
b=10
c=7
D= b^2-4(a)(c)=100-84
D=16
What the equivalent Fahrenheit temperature of 78 degrees Kelvin?
Answer:
it would be -319.27
Someone please help me
Answer:
I dont really know what its asking, but from what I think it is its x=9 and y = -4
Step-by-step explanation:
If I get paid $28,333 a month and I spend 30% of my $28,333 how much money would I have left?
Answer:
the answer is 19,833.1
Can someone help me translate this into a mathematical notation
One fourth of three times a number is five
Answer:
3x/4 = 5
Step-by-step explanation:
QUESTION 8
POIN
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run 15 feet
Rise - 10 feet
What is its slope?
Provide your answer below:
slope =
Next →
Previous
Answer:
it is root 325
pls mark me brainliest
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Slope = Rise² + Run²
Slope² = 10² + 15²
The slope is 5√13.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
The slope, rise, and run are in the form of a right triangle.
We will apply the Pythagorean theorem to get the slope.
Sope can be considered as the hypotenuse.
Now,
Slope = Rise² + Run²
Slope² = 10² + 15²
Slope² = 100 + 225
Slope² = 325
Slope = √325
Slope = √(25 x 13)
Slope = 5√13
Thus,
The slope is 5√13.
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326 divided by 53 sender
Answer: 6.150943396
6.15 if rounded
Step-by-step explanation:
26 divided by 53 equals 6 with a remainder of 8.
To solve 326 divided by 53 using long division, let's go step by step:
6
------------
53 | 326
1. First, we divide 53 into 32. The largest multiple of 53 that fits into 32 is 0. So, we bring down the next digit from 326, which is 6.
6
------------
53 | 326
-
2. We now have 326. We divide 53 into 326, which gives us 6. The quotient is written above the line.
6
------------
53 | 326
- 318
3. We subtract 318 from 326, which gives us 8.
6
------------
53 | 326
- 318
-----
8
4. We have a remainder of 8. Since there are no more digits to bring down, we have our final result.
Therefore, 326 divided by 53 equals 6 with a remainder of 8.
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The average cost in dollars of producing x units of golf clubs is C(x)=x^2-18x+140. Determine the number of golf clubs to produce each hour to keep the cost below $75 per club
Answer:
At least 6
Step-by-step explanation:
I did guess and check for the formula. I first started with 5 golf balls
C(x)=5^2-18*5+141
C(x)=76 too high
Then I tried 6
C(x)=6^2-18*6+141
C(x) = 69
It would have to be 6 because you need a whole number of golf balls and 5 made the cost too high
a liner equation determines a line in the x-y plane true or false
Answer:
True
Step-by-step explanation:
Answer:
true- a linear equationdetermines a line in the x-y plane.
O is the circumcenter of 4ABC. If OB = OC = BC, what is ∠BAC?
Answer:
This is a question for a test. I don't want sound mean but, next time please put in the work.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
I drew a diagram on paper but cant here soooo....
but math checks out i think.
Angles AOD and COB are both 36.
Angles AOC and DOB are both 144.
DOB has to be 4 times angle COB, right? if so, then:
144 = 4*36. That checks out. Now to see if all the angles combined are 360.
36 + 36 + 144 + 144 =360. It works!
This is my first answer ever btw so if the formatting and grammar is bad im sorry.
Given: MO bisects ∠PMN and OM bisects ∠PON Prove: ΔPMO ≅ ΔNMO Statements Reasons 1. MO bisects ∠PMN 2. ∠PMO ≅ ∠NMO 3. MO ≅ MO 1. Given 2. Definition of angle bisector 3. Reflexive property 4. OM bisects ∠PON 5. ∠POM ≅ ∠NOM 6. ΔPMO ≅ ΔNMO 4. Given 5. Definition of angle bisector 6. ?
From the given statements and reasons, we can deduce that ΔPMO ≅ ΔNMO because; it fulfils the ASA Congruence postulate.
We are given;
1) MO bisects ∠PMN
2) ∠PMO ≅ ∠NMO which means that ∠PMO is congruent to ∠NMO
3) MO ≅ MO
4) OM bisects ∠PON
5) ∠POM ≅ ∠NOM which means that ∠POM is congruent to ∠NOM
6) ΔPMO ≅ ΔNMO
Now, from all the statements given, we can see that two corresponding angles of both ΔPMO and ΔNMO are equal.
We also see that they share a common side which is MO.
Thus, we can say that both triangles have two corresponding sides that are equal and a corresponding included angle that is also equal.
In conclusion, ΔPMO ≅ ΔNMO because it fulfils the ASA Congruence postulate.
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Answer:
1. given
2. definition of angle bisector
3. reflexive property
4. given
5. definition of angle bisector
6. congruent by asa
Step-by-step explanation:
Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven Step 1: He should have added 25 to each side. Step 1: He should have divided both sides by −7. Step 3: He should have divided both sides by −7. Step 3: He should have multiplied both sides by −7.
Answer:
Step 4 : he should have divided both sides by negative seven
Step-by-step explanation:
First rewrite 3/8 and 2/5 so that they have common denominator. Then use to order 3/8 and 2/5
Answer:
15/40 and 16/40
mark me brainlist pls, Answer:
3/8 x 5 = 15/40
2/5 x 8 = 16/40
16/40 is greater than 15/40
2/5 is greater than 3/8
I’ve tried to work it out but my answer is wrong.
Answer:
[tex]-\frac{4}{9}z[/tex]-5
Step-by-step explanation:
You can only combine variables with like terms. Variables with like terms are [tex]\frac{7}{9} ( -\frac{6}{9} ) (-\frac{5}{9})[/tex] so 7/9 - 6/9 is 1/9 and 1/9 - 5/9 is -4/9. The other variables with like terms are 2 and (-7). 2 - 7 = -5. Now combining these two together we get the fraction -4/9 -5
You brought three erasers and a magazine for $4. You spent a total of $13. How much did each eraser cost?
Answer:
$3
Step-by-step explanation:
3x + 4 = 13
X=3
(b) What is the probability that a random sample of n = 35 oil changes results in a sample mean time less than 15 minutes?
The probability is approximately
(Round to four decimal places as needed.)
Answer:.8056
Step-by-step explanation:
Please help asap it’s due
Answer:
d, g
Step-by-step explanation:
complimentary = 90 degree angle
what is 7.1 divided by 312.755
Answer:
0.0227014756
Step-by-step explanation:
or if you meant 312.775/7.1 it's 44.0528169
Answer:
0.02270147559 and as a mixed number it is -1 1/-46
Step-by-step explanation:
Plz Mark Brainliest
An item is regularly priced at $30. It is on sale for 80% off the regular price. What is the sale price?
PLS ANSWER LIKE NOW PLSSSS
Answer:
$24
Step-by-step explanation:
Answer:
$6
Step-by-step explanation:
80% = .80
$30 x .80=24 [This is only the discount]
$30-24=6
Hence, the sale price is $6.
