Answer:
x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}
Step-by-step explanation:
(x-50)^2 is x^2+2500-100x*.0048 is .0048x. 2500*0.0048 is 12, and -100*0.0048=-.48.
So, we have .0048x^2+12-.48x+6, which is
.0048x^2+18-.48x=10. USing the quadratic formula, we get
x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}
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Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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Find the x-intercept of y=1/2x-4
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.
Answer:
200.52 in^2
Step-by-step explanation:
to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.
that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.
Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.
Hope this helped if it did please give me brainliest it helps me a lot. :)
Hope this helped!
11 times 11 in binary . Help i need it today!
Answer:
1011×1011 = 11110011
Step-by-step explanation:
11 in binary is 1011
121 in binary is 1111001
A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?
Step-by-step explanation:
The price of machine=$50000
depreciates rate (R )=1/4×100%
=25%
Solve for value of y
(9y - 6) + 51 = 90 (right angle)
9y - 6 + 51 = 90
9y - 6 = 90 - 51
9y - 6 = 39
9y = 39 + 6
9y = 45
y = 45/9
y = 5
_______
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
someone help please
Answer:
6 is the Value of the Expression.
Step-by-step explanation:
4 a⁴ - 2 b² + 40 :
4 * ( 2⁴) - 2 * ( 7²) + 40 =
4 * 16 - 2 * 49 + 40 =
64 - 98 + 40 =
-34 + 40 =
+ 6
Hopefully this helps.
Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph
I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?
Answer:
Step-by-step explanation:
answer dis please
Aiko3han owo
Answer:
b
Step-by-step explanation:
Someone plz help me :(
Answer:
A
Step-by-step explanation:
the ratio shows that for every two songs beth's mom has, beth has one more.
*3 is larger than 2 by 1
meaning, if her mom has 6 songs, then she will have 7
if Beth has 12 songs, her mom would have one less, 11
4d=12 solve for the variable
What is the slope for M(4,-8 negative) N(6,-1 negative)
Answer:
m=7/2
Step-by-step explanation:
Rashad wants to buy a TV which is $235. He already has $35. If he saves $25 a week. For at least how many weeks he has to save money so that he can buy the TV?
There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?
43 is the number of students were present in that class on Monday
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 50 students in one of Mr. Rudolph's physical education classes.
On Monday, 14% of the students were absent from that dass.
We have to find the number of students were present in that dass
on Monday.
Let us find 14% of 50
14/100 ×50
0.14×50
7 students were absent.
Now 50-7=43 students.
Hence, 43 number of students were present in that class on Monday
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what is a two way frequency table
Answer:
A two-way table is a way to display frequencies for two different categories gathered from a one group of people.
Step-by-step explanation:
Answer:
A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Step-by-step explanation:
Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?
Answer:
$45.02
Step-by-step explanation:
The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:
$225.10 × 20% = $45.02
Harry will leave $45.02 as a tip.
2. Draw 3 different polygons that have only 2 lines of symmetry
Answer:
Hello. The answer is : rectangle, rhombus
I cant think of a third one as yet.
(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.
Answer:
R834.92 is the monthly repayments.
Step-by-step explanation:
2. Find the value of x. Give your answer in
simplest radical form.
20
16
Answer:
12
Step-by-step explanation:
The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12
x=12
I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
4^2+ 4^2=c
16+16=32
[tex]\sqrt{32}[/tex]
=5.65685424949
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
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Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo
Answer: O AAS Congruence Theorem is your answer
Step-by-step explanation: plz give brainliest
Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy
Answer:
11
Step-by-step explanation: 100 cents- $1
85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935
935 or 9.35 dollars
A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?
Answer:
The answer I'd 28464835383637533
Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?
Answer:
2267.25
Step-by-step explanation:
add that fisrt one
Point C has a _____ abscissa and a _____ ordinate.
positive, negative
positive, positive
negative, positive
negative, negative
Answer:
i think its b but im not that sure
Step-by-step explanation:
Taryn is measuring ribbon to make decorations for a fall party. She needs
32 feet of ribbon. She has 12 &
1/3 feet of ribbon.
How many more feet of
ribbon does she need?
Answer:
19 2/3
Step-by-step explanation:
32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
17
Step-by-step explanation:
Answer:
The hypotenuse is 17.
Step-by-step explanation:
a^2+b^2=c^2.
Let's plug in a and b.
15^2 + 8^2 = c^2
Simply.
225+64=c^2
Add.
289=c^2.
Square 289 and c^2 to cancel out the ^2.
17=c
The hypotenuse is 17.
Hope I helped. :)
Help.....Me...........PLEASE
Answer:
~corresponding angles
~congruent
~7x-10=6x so x=10
~60⁰ and 60⁰
Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = n logx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3
[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3
[tex]log_{x}[/tex] 8 = 3
8 = x³
2³ = x³ , then
x = 2
