Answer:
2/27
Step-by-step explanation:
First probability = 6/18 = 1/3
second probability = 4/18 = 2/9 (in this case the number of socks remains the same because we returned the first one)
Final probability = 1/3 * 2/9 = 2/27
Find the number of terms in this polynomial.
–3p9 − 7p
Answer:
ans: 2 terms
Step-by-step explanation:
1st term: -3p^9
2nd term: -7p
uhhh i need answers on this, its hurting my BRAIN
Answer:
B. 1.8 x 10⁴
Step-by-step explanation:
6.3 / 3.5 = 1.8
10⁷/ 10³ = 10⁴
Therefor
6.3 x 10⁷ / 3.5 x 10³ = 1.8 x 10⁴
Answer:
B. 1.8 x 10⁴6.3 / 3.5 = 1.810⁷/ 10³ = 10⁴Therefor,6.3 x 10⁷ / 3.5 x 10³ =1.8 x 10⁴Hope it is helpful to you ☺️
X Cube - 5x Square - 2 x + 24
Answer:
(x+2)(x-4)(x-3)
(x²-4x+2x-2)(x-3)
(x²-2x-2)(x-3)
=x³-5x²-2x+24
So the answer true
PLS HELP!! need the answer asap
Answer:
1.) 113 degrees and 2.) 67 degrees
Step-by-step explanation:
(x + 33) + (x - 13) = 180
Add like terms:
2x + 20 = 180
2x = 160
x = 80
x + 33 =
80 + 33 =
113 =
x - 13 =
80 - 13 =
67 =
URGENT!! Use the compound interest formula A = P(1 + i)^n. Evaluate,
$1200 at 8.4% per year, compounded semi-annually, for 3 years 6 months
Answer:
$38,025.04
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 8.4/100
r = 0.084 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 1,200.00(1 + 0.084/2)(2)(42)
A = 1,200.00(1 + 0.042)(84)
A = $38,025.04
A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean
Answer:
The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?
A sample of n is needed, and n is found when M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 1.96\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 1.96\sqrt{\sigma}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]
[tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]
The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.
In a family with 6 children, excluding multiple births, what is the probability of having 6 girls? Assume that a girl is as likely as a boy at each birth
Answer:
There's is a 25% chance on having all 6 births be girls. There is a 50-50 chance of a boy nor a girl. However, it is possible.
The probability of having 6 girls will be 1/64.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
In a family with 6 children, excluding multiple births.
Then the probability of having 6 girls will be
Leaving out the third gender, let's suppose that there is an equal chance of having a girl or a boy.
Any child can be either a boy or a girl, with each having equal probability of = 1/2
Each of these blank spaces can be filled in 2 ways : B and G (denoting 'B' and 'G' respectively)
Probability of first blank being a ''G' is = 1/2
and second blanks too being a “G” is = 1/2
Thus, probability of each blank individually being a “G” = 1/2
Thus, probability of all being a “G” = (1/2) (1/2) (1/2) (1/2) (1/2)* (1/2) = (1/2)6 = 1/64
Thus, probability of 6 children being all 6 girls = 1/64
More about the probability link is given below.
https://brainly.com/question/795909
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A ladder leans against the side of a house. The angle of elevation of the ladder is 65° when the bottom of the ladder is 14 ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth. (PLZ HELP I LIST BRAINLIST AND LIKE COMMENTS)
Answer:
33.1
Step-by-step explanation:
cos(65)=14/x
x=33.1
The value of x in the solution to the system
2x - 3y = -2
3x – 2y = 12
Answer:
(8,6)
Step-by-step explanation:
See image below:)
FYI you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free:)
Find the GCF of 21m^5n^2 and 28m^4n2
Answer: 7m⁴n²
Step-by-step explanation:
Find the GCF of 21m⁵n² and 28m⁴n².
Find the prime factors of each term in order to find the greatest common factor (GCF).
21m⁵n² = 7 · 3 · m · m · m · m · m · n · n
28m⁴n² = 7 · 2 · 2 · m · m · m · m · n · n
The product of these common prime factors will be the Greatest Common Factor: 7 · m · m · m · m · n · n = 7m⁴n²
Find three consecutive odd integers such that the sum of the first, two times the second and three times the third is 82.
A) 6x + 8 = 82
B) 6x + 16 = 82
C) 3x + 3 = 82
D) 3x + 6 = 82
Answer:
[tex]11, 13, 15[/tex]
B) 6x + 16 = 82
Note: I just kept my wrong approach.
Step-by-step explanation:
Let first define an odd integer.
Considering [tex]x\in\mathbb{Z}: 2k+1[/tex], [tex]x[/tex] is an odd integer.
Now, three consecutive odd integers are [tex]a_1 = 2k+1[/tex] , [tex]a_2 = 2k+3[/tex] and [tex]a_3 = 2k+5[/tex]
The sum of the first, two times the second and three times the third can be written as
[tex]a_1 + 2a_2 + 3a_3 = 2k+1 + 2(2k+3)+3(2k+5)[/tex]
Expanding and simplifying
[tex]2k+1 + 2(2k+3)+3(2k+5) = 2k+1 +4k+6+6k+15 = 12k+22[/tex]
This is what I have done initially, but considering [tex]x[/tex] to be an odd integer, three consecutive integers can be written as
[tex]x, x+2, x+4[/tex] such that [tex]x\in\mathbb{Z}: 2k+1[/tex]
Therefore,
[tex]x+2(x+2)+3(x+4)=82 \implies x+2x+4+3x+12 = 82 \implies 6x+16 = 82[/tex]
and [tex]6x+16 = 82 \implies 6x = 66 \implies x = 11[/tex]
The three consecutive odd integers such that the sum of the first, two times the second and three times the third is 82 are [tex]11, 13, 15[/tex]
When rolling a standard 6-sided die, what is the probability of rolling an odd number and then rolling a number greater than 1?
Answer:
You multiply the probabilities together. The probability of rolling an odd number is 1/2 (because half of the numbers on a number cube are odd). The probability of rolling a number greater than 1 is 5/6 because 5 of the 6 numbers are greater than 1. Then multiply those two fractions together to get your answer.
Step-by-step explanation:
What is the value of -42+(5-2)(-6)?
0-34
-2
0 10
34
Answer:
-60
Step-by-step explanation:
-42+3*-6
-42-18
-60
can you explain
pls now later
Over a season in a women's basketball league Jackson scored 41 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1205 points during the season. How many points did each player score over the course of the season?
Answer:
Here are the aswers
Step-by-step explanation:
jackson=618
leslie=587
I hope this helps?!?
When a particular type of thumbtack is dropped, it will land point up (A flat-top thumbtack resting on its flat top) or point down (A flat-top thumbtack resting on the edge of its flat top and the tip of its needle). This experiment was repeated times with the following results: point up: 48 times; point down: 52 times.
a. What is the experimental probability that a particular type of thumbtack will land point up?
b. What is the experimental probability that a particular type of thumbtack will land point down?
c. If the experiment was tried another 100 times would the same results occur? Why?
d. Is it expected that nearly the same results occur on a second trial? Why?
Answer:
0.48
0.52
No
Yes
Step-by-step explanation:
Result of experiment :
Point up = 48
Point down = 52
Total number of trials = 100
Recall :
Experimental probability = number of outcomes / number of trials
1.)
P(Landing point up) = 48 / 100 = 0.48
2.)
P(Landing point down) = 52 / 100 = 0.52
3.)
The same result will not occur has the outcomes of trials aren't fixed.
4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.
Which inequality is graphed below?
3x + 2y < –6
3x + 2y > –6
3x – 2y > 6
3x – 2y < 6
Answer:
3x-2y > 6
Step-by-step explanation:
3x-2y > 6
see attached figure.
Find the area of this figure
Answer:
90ft²
Step-by-step explanation:
Figure shown is a triangle
Area of a triangle = ( base length times height ) divided by 2
The triangle has a given height of 12 ft and a given base length of 15 ft
Hence area = ( 12 * 15 ) / 2
12 * 15 = 180
180 / 2 = 90
area = 90ft²
Answer:
Area is 90 degrees.
Step-by-step explanation:
The formula for the area of a triangle is (h*b)/2=A
We know height is 12.
We know base is 15.
So lets plug these in:
(12*15)/2=A
180/2=A
90=A
So 90 is our answer!
Hope this helps!
Unios a mi classroom , code: m4ami5i
Answer:
OK but first follow me .plz........
Which sequence can be defined by the recursive formula f(1) = 4, f (n + 1) = f(n) - 1.25 for n 2 1?
O 1,-0.25,-1.5, -2.75, -4,...
O 1, 2.25, 3.5, 4.75, 6, ...
O 4,2.75, 1.5, 0.25,-1, ...
O 4,5.25, 6.5, 7.75, 8, ...
Answer:
the third option
4, 2.75, 1.5, 0.25, -1, -2.25, ...
Step-by-step explanation:
the first value in the sequence is 4.
that eliminates already answer options 1 and 2.
and the values are going down, as we continuously subtract 1.25 from the previous sequence number.
but answer option 4 shows a sequence, where the values go up.
so, only option 3 remains and is correct
4-1.25 = 2.75
2.75-1.25 = 1.5
1.5-1.25 = 0.25
0.25-1.25 = -1
...
8. Are these ratios equvalent?
9: 3 arid 15:5 and 3:1
Answer:
Yes
Step-by-step explanation:
3:1 x 3 = 9:3
3:1 x 5 = 15:5
The line represented by y = 3x − 2 and a line perpendicular to it intersect at R(3, 7). What is the equation of the perpendicular line? y = − negative start fraction one over three end fractionx + 4 y = − negative start fraction one over three end fractionx + 8 y = start fraction one over three end fractionx + 6 y = −3x + 7
Answer:
y= -1/3(x) + 8
Step-by-step explanation:
slope of the 1st line = 3
slope of the line perpendicular to the first is its opposite reciprocal, so
slope of the 2nd line = -1/3
now we have a point and the slope of the perpendicular line, so we use the point slope formula to get:
y-7=-1/3(x-3)
y= -1/3(x) + 1 + 7
y= -1/3(x) + 8
Solve the following system of equations graphically on the set of axes below.
y= -3/2x-8
y= 5/6x+6
Write the equation 8 is 5 less than a number n
Answer:
n=13
Step-by-step explanation:
the equation 8 is 5 less than a number n
n-5=8
n=?
n=8+5
=13
n=13
Answer:
13
Step-by-step explanation:
the equation 8 is 5 less than a number n
n-5=8
n=?
n=5+8
=13
Challenge: Solve the following equation by completing the square and enter the answers from below from least to great.
Equation: x(2)+16x+62=7
Results: x= {____ , _____}
Answer:
Step-by-step explanation:
To begin, get everything but the x terms on one side of the equation by subtracting the 62. That gives us
[tex]x^2+16x=-55[/tex]
Next, take half the linear term, square it, and add it to both sides. Our linear term is 16. Half of 16 is 8, and 8 squared is 6, so add 64 to both sides:
[tex]x^2+16x+64=9[/tex]
The reason we do this is to get a perfect square binomial on the left, which looks like this:
[tex](x+8)^2=9[/tex]. Undo the squaring on the left by taking the square root of both sides. Doing this leaves x + 8 on the left, but + or - 3 on the right:
x + 8 = 3 and x + 8 = -3. Solving each of these equations gives you your 2 solutions:
x = -5 and x = -11
What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft
3
, to the nearest tenth of a foot?
Answer:
r≈4.5 ft
Step-by-step explanation:
r≈4.5 ft
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
384=
384=
\,\,\left(\frac{4}{3}\pi\right) r^3
(
3
4
π)r
3
384=
384=
\,\,(4.1887902)r^3
(4.1887902)r
3
Evaluate 4/3pi in calc
\frac{384}{4.1887902}=
4.1887902
384
=
\,\,\frac{(4.1887902)r^3}{4.1887902}
4.1887902
(4.1887902)r
3
Evaluate \frac{4}{3}\pi
3
4
π in calc
91.6732472=
91.6732472=
\,\,r^3
r
3
\sqrt[3]{91.6732472}=
3
91.6732472
=
\,\,\sqrt[3]{r^3}
3
r
3
Cube root both sides
4.5090066=
4.5090066=
\,\,r
r
\text{Final Answer:}
Final Answer:
r\approx 4.5\text{ ft}
r≈4.5 ft
Round to nearest tenth
The radius of the sphere is approximately 4.2 feet.
What is the volume of the sphere?To find the volume of a specific sphere, we need to know its radius. Once we have the radius, we can plug it into the formula and calculate the volume.
The formula for the volume of a sphere is:
V = (4/3) x π x r^3
where V is the volume of the sphere, r is its radius, and π is a mathematical constant approximately equal to 3.14.
We are given the volume of the sphere, so we can plug it into the formula and solve for the radius:
384 = (4/3) x π x r^3
Dividing both sides by (4/3) x π, we get:
r³ = 384 / ((4/3) x π)
r³ = 72.825
Taking the cube root of both sides, we get:
r ≈ 4.243
The radius of the sphere is approximately 4.2 feet.
To know more about volume follow
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Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For what period of time did she borrow the money?
Whats the...
Principal_____
Rate____
Intrest_____
PLSSSS ITS DUE IN 10 MINS
9) Solve the system of equations by substitution
y = 3x + 2
y = -2x + 12
Answer:
x= 2, y= 8
Step-by-step explanation:
y= 3x +2 -----(1)
y= -2x +12 -----(2)
Substitute (1) into (2):
3x +2= -2x +12
Move x terms to 1 side, constant to the other:
3x +2x= 12 -2
Simplify:
5x= 10
Divide both sides by 5:
x= 10 ÷5
x= 2
Substitute x=2 into (1):
y= 3(2) +2
y= 6 +2
y= 8
Does the point (3,25) lie on the line y = 6x + 7?
Answer
YesStep-by-step explanation:
Replace x and y
[tex](3 \: \: \: 25)[/tex]
[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]
So, the point (3,25) lie on the line y=6x+7
hope this helps you.
Have a nice day!
Challenge: Solve x+3y=-6 for x. Then use your value for x to solve for y.
X=
Y=
Answer:
X = -6 - 3y
Y = -1
Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.