[tex] \sqrt{x} = 7[/tex]
[tex]x = {7}^{2} [/tex]
[tex]x = 49[/tex]
Root.
Determine the probability of selecting a two-child family with one boy and one girl assuming boys and girls are equally likely
Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.
For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].The probability of one of each is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]
0.5 = 50% probability of selecting a two-child family with one boy and one girl.
A similar problem is given at https://brainly.com/question/24863377
Lillian misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 51
help fast
Answer:
510
Step-by-step explanation:
10/100 = 51
10*10/100 = 51*10
100/100 = 510
here's my question.
30 Chocolates
Step-by-step explanation:The box was new and therefore full, so it had 5/5 of chocolates left.
When Bob ate 18, 2/5 were left, so he must have eaten 5/5 - 2/5 or 3/5 of the chocolates:
5/5 - 2/5 = 3/5
You know that 3/5 of the chocolates are 18, as he ate 18 chocolates. Divide 18 by 3 to get 6:
18 / 3 = 6
This is 1/5 of the chocolates. Multiply this by 5 to get 30:
6 * 5 = 30
This is 5/5 of the chocolates and therefore the total is 30 chocolates.
Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.
Answer:
$4305.60
Step-by-step explanation:
1393 divided by 44 = 31.6590909
that's how much for one training session
so to find the pay for 136 sessions you need to do 31.6590909 x 136
which is 4305.63636
if you round that, you get $4305.60
What is the equation of this graphed line?
Enter your answer in slope-intercept form
Answer:
Step-by-step explanation:
slope m = Δy/Δx = (6 - (-6)) / (2 - (-4)) = 12/6 = 2
b is the y intercept when x = 0.
b = 2
y = 2x + 2
thanks in advance big boys
Answer:
The answer is sides are congruent by the reflexive property
Step-by-step explanation:
The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.
Sorry for any gramatical or spelling mistakes!
Of 90 gallons of water the average person uses each day, 30% is used outdoors. Mason wants to know how much water is used outdoors. How much water is used outdoors.
Answer:
The Awnser is 27 for both I did that I-ready before
Step-by-step explanation:
Answer:
27 for both blanks
Step-by-step explanation:
I just did it on iready and I got it correct
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
A. 25
B. 30
C. 75
D. 83
Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times
Step-by-step explanation: Please mark brainliest
Answer:
75 -- i think
Step-by-step explanation:
let me know if im right.
all graphs range from -10 through 10 ;)
Answer:B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
First, we want to find out what is X.3x = -6 ---> x = -2
X is -2 so we want the graph point to start at -2 and from there go down to -10.I need help for these 5 questions
Answer:
1. 6²=36
2. 289[tex]\frac{1}{2}[/tex] = 17
3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]
4. 10³=1000
5. [tex]5^{4}[/tex]=625
Step-by-step explanation:
Answer:
1. 6² = 36
2. 289^1/2 = 17
3. 14^-2 = 1/196
4. 10³ = 1000
5. 5⁴ = 625
Step-by-step explanation:
I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?
Answer:
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial.
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
When cubes are added or subtracted, they can be expressed using the following
when randy started his job he earned $8.00 per hour now he makes $450 for working a 40-hour week how much more does he earn per hour than he did when he started
Answer:
3.25?
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
He now earns:
450/40 = 11.25 dollars per hour.
So he gets 11.25 - 8
= 3.25 dollars more.
685,327 round to the nearest thousand
Answer:
685,000
Step-by-step explanation:
Answer:
685327.000
Step-by-step explanation:
What property is illustrated by the statement? 5(- 7 10 )=(- 7 10 )5 A) Commutative Property of Multiplication B) Commutative Property of Addition C) Associative Property of Multiplication D) Associative Property of Addition
Answer:
commutative property of multiplication
Step-by-step explanation:
Name the property used: commutative property of multiplication
Answer: commutative property of multiplication
please help!
15 - (-20)
Calculate the average of these values: 38, 48, 58, 68?
Answer:
53 is the average value.
Step-by-step explanation:
To find the average, or mean of multiple values you first add them all up:
38+48+58+68=212
Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).
Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.
I hope that my answer has helped you, have a great day, ask any questions you have below.
i need help on this math problem
Answer:
[tex]\sqrt{81}[/tex] = 9
[tex]\sqrt{169}[/tex] = 13
Step-by-step explanation:
7k -2(k+4) What is this answer?
5−8
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The triangle is to be reduced by a ratio of 1:2.
a
Answer:
where is the triangle?
Step-by-step explanation:
Write the prime factorization of 26.
Answer:
The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.
Step-by-step explanation:
Answer:
2 and 13
Step-by-step explanation:
First, we can see that the last digit of
26
is even, and thus
26
is divisible by
2
. If we divide by
2
, we find
26
2
=
13
. As
13
is a prime number, there are no further prime factors of
26
, and so the prime factorization of
26
is
2
×
13
.
100 points! show work or else i report
A certain microwave requires 1200 watts. How much would it cost to run the microwave for a total of 30 minutes (defrosting chicken) at a cost of $0.20 per kilowatt hour?
[tex]\boxed{\sf E=Pt}[/tex]
E is energy
P is power
t is time in hours
E=1200(0.5h)E=600WhE=0.6KwhCost
0.6(0.2)$0.12Answer:
$0.12
Step-by-step explanation:
Conversions
1000 watts = 1 kilowatt-hour
⇒ 1200 watts = 1.2 kilowatt-hour
60 minutes = 1 hour
⇒ 30 minutes = 0.5 hour
A microwave requiring 1200 watts will use 1.2 kilowatts per hour.
If the microwave is used for a total of 30 minutes, it will use:
⇒ 1.2 × 0.5 = 0.6 kWh
If the cost is $0.20 per kWh, the cost of running the 1200 watt microwave for 30 minutes is:
⇒ 0.6 × $0.20 = $0.12
A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?
Answer:
50 hours
Step-by-step explanation:
Help me with questions please
Answer:
530.93 OR 530.9
Step-by-step explanation:
Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]
So now we multiply 13 squared or 13 x 13 which equals 169
Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give us our answer.
530.93
530.9
The scatterplot shows the heights and arm spans of 12 girls on a basketball
team. The line of best fit for the scatterplot is y = x + 2. What is the predicted
arm span for a girl who is 61 inches tall?
72
70
68
Arm span (inches)
66
60
60 62 64 66 68 70 72
Height (inches)
Answer:63
Step-by-step explanation:
Took the test
Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
What is the Line of Best Fit?The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.
Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.
y = 61 + 2
y = 63
Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
Learn more about line of best fit on:
https://brainly.com/question/17143626
Two air ducts together remove 525 cubic feet of air per minute. The larger duct removes 45 cubic feet of air less than twice the amount of air removed by the smaller duct. How many cubic feet of air per minute are removed by each duct?
Answer:
I don't know
Step-by-step explanation:
The smaller duct removes 190 cubic feet of air per minute and the larger duct removes 335 cubic feet of air per minute.
What is a linear function?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Let's assume that the smaller duct removes 'x' cubic feet of air per minute.
So, The larger duct removes (2x - 45) cubic feet of air per minute.
∴ x + (2x - 45) = 525.
3x = 525 + 45.
3x = 570.
x = 190.
So, the smaller duct removes 190 cubic feet of air per minute and the larger duct removes (2(190) - 45) = 335 cubic feet of air per minute.
learn more about linear equations here :
https://brainly.com/question/11897796
#SPJ2
Please please help !
Answer:
Unsure but it might be -8/3
Step-by-step explanation:
Use the drop-down menus to complete each statement to show why 5sqrt(7) is between 10 and 15.
Answer:
First drop down: √4 and √9
Second drop down: 2 and 3
Third drop down: 10 and 15
Step-by-step explanation:
the root of four is 2
the root of nine is 3
thus √ 7 is between 2 and 3
5√7 is between 10 and 15 because 2x5 is 10 and 3x5 is 15.
HURRY!
Which of the following is a geometric sequence?
1, 2, 4, 6, 8, 10, ..
-1, 0, 1, 2, 3, ...
2, -2, 2, -2, 2, -2, ...
5, 3, 1, -1, -3, ...
Answer:
C
Step-by-step explanation:
In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.
A.
1, 2, 4, 6, 8, 10, ...
2/1 = 2
4/2 = 2
It looks like the common ratio is 2, but try the next division: 6/4 = 3/2
It is not 2, so there is no common ratio, and this is not a geometric sequence.
B.
-1, 0, 1, 2, 3, ...
0/-1 = 0
1/0 = undefined
There is no common ratio.
C.
-2/2 = -1
2/(-2) = -1
-2/2 = -1
The common ratio is -1.
This is a geometric sequence.
D.
3/5 = 3/5
1/3 = 1/3
No common ratio.
Answer: C
Kevin Went for a drive in his new car. He drove at a speed of 56 miles per hour for 358.4 miles. for how many hours did he drive?
Answer:
Kevin Drove For 6 Hours and 40 Minutes
Step-by-step explanation:
56 times 6.4 Equals 358.4
Convert it into miles 56MI X 6.4(HR) = 358.4MI
Please help me ASAP
Step-by-step explanation:
a= 3×(-2)+3=-6+3=3
b=3×(-1)+3=-3+3=0
c=3×1+3=3+3=6
d=2×3+3=6+3=9
-------------------------
a=3, b=0, c=6, d=9
Good work!