The probability of getting a head on the coin and an odd number on the die is 25%
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
One coin is flipped, and then one die is rolled.
Let H is the head and T is tails.
The sample space is {H, T}
The probability of getting a head on the coin
= The possible outcomes / the total outcomes
= 1/2
One die is rolled.
So, the sample space is {1, 2, 3, 4, 5, 6}
The sample space for odd number is {1, 3, 5}.
The probability of getting an even number on the die
= 3/6
= 1/2
If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:
P(A and B) = P(A) P(B)
= 1/2 x 1/2
= 1/4
= 0.25
And 0.25 in percentage is 25%.
Therefore, the probability is 1/4.
To learn more about the probability;
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The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.
Answer:
84.21%
Step-by-step explanation:
When working with percentages, one must cross multiply and divide
first you set up your numbers in fraction form…
[tex]\frac{16}{19} \frac{x}{100}[/tex]
now you multiply the two number you do have (16 and 100)…
[tex]16*100\\ 1600[/tex]
then divide by the other number that is known (19)…
1600÷19≈84.21
hope this helps!
3. Suppose Natalie put $2,400 in the bank for 5 years. She makes $9.20 in interest
every month. What is the annual interest rate?
Annual interest rate is 4.6%
hope this helps!
can someone help? No explanation needed :')
Blair worked for 4 2/5 hours and earned $36.30. How much would she earn if she worked for 5 4/5 hours? Enter your answer in the box.
PLEASE HELP ASAPPPPP!!! I WILL GIVE BRAINLIEST AND 50 POINTS!!!
Answer:
$47.85
Step-by-step explanation:
4 2/5 in decimal form is 4.4
Using the equation hrs/money=x, 36.30/4.4=8.25
So, she gets $8.25 per hour
Then, 5 4/5 in decimal form is 5.8
So, 5.8*8.25=47.85
She gets $47.85 for working 5 4/5 hours
Answer:$47.85
Step-by-step explanation:
The lines 3y + 1 = 6x + 4 and 2y + 1 = x - 9 are ?
Answer:
lines are not perpendicular or parallel
Can someone please help me with this easy math problem?
Answer:
K(w)=P(w)
150 - 15w = 180 - 20w
Collect like terms
-15w + 20w = 180 - 150
5w = 30
w = 30/5
w = 6
Therefore, w = 6 weeks
Find the term indecent of x in the expansion of (x^2-1/x)^6
By the binomial theorem,
[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]
I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that
12 - 3k = 0 ===> 3k = 12 ===> k = 4
which corresponds to the constant coefficient
[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]
how do i do this?? i really need help !!
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15 +2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.
The 25 destinations in France are represented by a sector that is ...
25 × 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 × 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 × 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 × 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
__
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
Answer:
angles: 150°, 108°, 90°, 12°
Step-by-step explanation:
The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...
25 +18 +15+2 = 60
These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.
The 25 destinations in France are represented by a sector that is ...
25 x 6° = 150°
The 18 destinations in Spain are represented by a sector that is ...
18 x 6° = 108°
The 15 destinations in Greece are represented by a sector that is ...
15 x 6° = 90°
The remaining (Other) destinations are represented by the remaining part of the circle:
2 x 6° = 12°
You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.
The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms. A
delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms. How much does each type of box weigh?
1. Weight of each large box ____ kilograms
2. Weight of each small box ____ kilograms
Answer:
Answer:
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
the large box weights 15.5 kg.
the small box weights 13.25 kg.
Solve the equations below. Give exact solutions only. Show your work.
a) 5x^2 - 7 = 72
b) x(x + 2) = 5
c) 3x^2 + 2x - 4 = 0
Please help!
Step-by-step explanation:
remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
a)
I think there is a typo, and this should be
5x² - 7x = 72
5x² -7x - 72 = 0
x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10
x1 = (7 + sqrt(1489))/10
x2 = (7 - sqrt(1489))/10
b)
x(x + 2) = 5
x² + 2x - 5 = 0
x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =
= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =
= -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
c)
3x² + 2x - 4 = 0
x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =
= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =
= (-1 ± sqrt(13))/3
x1 = (-1 + sqrt(13))/3
x2 = (-1 - sqrt(13))/3
Write an equation for a line that passes through (2,5)
and (6, 7).
Answer:
y=2x-9
Step-by-step explanation:
The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?
What is the domain???????
Answer:
H
Step-by-step explanation:
The domain is the values of x in a function.
The graph appears to extend infinitely to the right and left going from the x value 1
From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.
This can be written as {x | x ≠ 1 }
The answer is H
Chau needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
PLEASE HELP!!!!
ASAP!
Answer:
The answer for Brand A is 0.09 because if you divide that would be you answer.
Brand B the answer is 0.10 how you do it is the same you divide and this is you answer.
Step-by-step explanation:
what 0x0+1-0 explain it has to be mathematical geniuses
Answer:
1
Step-by-step explanation:
you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one
Answer:
1
Step-by-step explanation:
zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.
so yeah
What is the value of x in AABC?
A. 26
B. 29
C. 32
D. 36
Answer:
x = 29
Step-by-step explanation:
64°+y°+y° = 180°
64+2y = 180
2y = 116
y = 58
(180°-58°)+2x° = 180
122+2x = 180
2x = 58
x = 29
Question in the picture
Answer:
√85
Step-by-step explanation:
**PLEASE HELP ASAP**
Ben is concerned that he is not reading enough. He decides to record how many pages he reads each day for the month of April, and he makes a box plot of the data. Then he repeats the process for the month of June. His 2 plots are shown below.
Simplify this question
[tex]3 + \sqrt{ - 12} \\ = 3 + \sqrt{ 2 \times 2 \times - 3} \\ = 3 + 2 \sqrt{ - 3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto 3+√-12[/tex]
[tex]\\ \sf\longmapsto 3+√12i[/tex]
[tex]\\ \sf\longmapsto 3+√2(2)(3)i[/tex]
[tex]\\ \sf\longmapsto 3+2√3i[/tex]
Identify the two irrational numbers
Answer:
Your answer is in picture hope it helps
Step-by-step explanation:
I will mark Brainliest if you help!!
Remainder of 52,259 divided by 215
Answer: 243, Reminder is 14
Step-by-step explanation:
52,259 / 215 = 243.065116
215 x 243 = 52,245
52,259 - 52,245 = 14
So the reminder is 14
Please help with this!!
Answer:
#1.---60% #2.---$12.60 per hour
Step-by-step explanation:
#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80
#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour
Using HL, are the two triangles congruent? What information would be used? Question 2 options: A) No, the triangles aren't congruent by HL. ∠H ≅ ∠M, ∠N ≅ ∠I, ∠L ≅ ∠J B) Yes, the triangles are congruent by HL. ∠H ≅ ∠M, ≅ C) Yes, the triangles are congruent by HL. ≅ , ≅ D) No, the triangles aren't congruent by HL. ∠N ≅ ∠I, ≅
Answer:
Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ
Step-by-step explanation: I took the test
Answer:
Step-by-step explanation:
j
2. Solve for x.
28
2x + 8
82
5x - 4
Solution of Problem 1:
2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10Solution of Problem 2:
82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2Therefore:
Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2Hoped this helped.
[tex]BrainiacUser1357[/tex]
. What is 6 8ths x 5? Draw a model of your choice to help you solve.
WILL GIVE BRAINIST
Answer:
The complete and simplified answer to the question what is 6/8 of 5 is:
3 3/4
Step-by-step explanation:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1
So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
6 x 5/ 8 x 1 = 30 /8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
30/2 = 15
8/2 = 4
When we put that together, we can see that our complete answer is:
15/ 4
If you now simplifiy the COMPLETE anwser is:
3 3/4
please I need help immediately
Answer:
Step-by-step explanation:
4x+6<= -54
4x <= -60
x <= -15 [The point -15 is included, so it must be a solid dot]
----------------
5x + 7 > -18
5x > -25
x > -5 [The point -5 is NOT included, so it should be an empty dot.]
Solution C seems the best.
The value of y varies directly with the value of x. When y= 24, x = 4.
-
What is the value of x when y = 48?
O 6
0 8
O 28
0 288
Answer:
8
Step-by-step explanation:
whatever was done to y needs to be done to x.
in this case (y) was 2x so you need to 2x (x) making 4 into 8
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
Hes right 304.8 millimeters in a foot.
Ragnar's bathroom has 148 tiles in it. He found that his kitchen has 7 times as many tiles as his bathroom.
How many tiles are in Ragnar's kitchen?
Answer:
148*7=1036
Hope This Helps!!!
Step-by-step explanation:
The answer,
148×7 = 1,036
Solve the following equation by factoring: x^2+ x– 42 = 0
Answer:
x=6,x=-7
Step-by-step explanation:
x^2+x-42=0
x^2-6x+7x-42=0
x(x-6)7(x-6)=0
(x-6)(x+7)=0