Answer:
2 / 7
Step-by-step explanation:
Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'
HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes
P (A) = 2 consecutive heads , P (B) = atleast one tail
P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8
P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8
P (A | B) = P ( A ∩ B ) / P (B)
P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8
So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7
Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and d are integers.
1. x2 - 6x + 8 = (ax + b)(cx + d)
2.3x3 - 6x2 - 24x = 3x(ax + b)(cx + d)
3. 2x2 - 2x - 24 = (ax + b)(cx + d)
Fill in the table with the missing values of a, b, c, and d.
9514 1404 393
Answer:
(a, b, c, d) = (1, -4, 1, -2)(a, b, c, d) = (1, -4, 1, 2)(a, b, c, d) = (1, -4, 2, 6)Step-by-step explanation:
Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.
__
1. 8 = (-4)(-2) ⇒ x^2 -6x +8 = (x -4)(x -2)
(a, b, c, d) = (1, -4, 1, -2)
__
2. -8 = (-4)(+2) ⇒ 3x^3 -6x^2 -24x = 3x(x -4)(x +2)
(a, b, c, d) = (1, -4, 1, 2)
__
3. -12 = (-4)(3) ⇒ 2x^2 -2x -24 = 2(x -4)(x +3) = (x -4)(2x +6)
(a, b, c, d) = (1, -4, 2, 6) or (2, -8, 1, 3)
the perimeter of a square is 75 cm what is the length of one side of the square
Answer:
length of one side = 18.75cm
Step-by-step explanation:
Perimeter of a square = 4 x side
75 = 4 x side
[tex]side = \frac{75}{4} = 18.75cm[/tex]
5/8 is the fraction that if added to 3/8 gives you the sum of 1 whole
Answer:
true
Step-by-step explanation:
your answer is correct
Write the equation in slope intercept form. -2x-8y= 24
- please help
Answer:
y= -2/8x + 3
Step-by-step explanation:
Step-by-step explanation:
The slope-intercept form of the equation is :
y = mx+b
The given equation is :
-2x-8y= 24
Taking x term to RHS.
-8y = 24 +2x
Dividing both sides by -8
[tex]\dfrac{-8y}{-8} = \dfrac{24}{-8} +\dfrac{2x}{-8}\\\\y=-3-\dfrac{x}{4}\\\\or\\\\y=\dfrac{-1}{4}x+(-3)[/tex]
Hence, this is the required solution.
If sin theta equals 12 divided by 13 and theta is in quadrant 2 cos20 equals? and cos theta equals?
Answers:
cos(2theta) = -119/169cos(theta) = -5/13=====================================================
The given info is:
sin(theta) = 12/13theta is in quadrant IIFrom that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.
Now use the trig identity below to compute cos(2theta)
[tex]\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\[/tex]
Other options you could use are these identities
[tex]\cos(2\theta) = 2\cos^2(\theta)-1\\\\[/tex]
or
[tex]\cos(2\theta) = 1-2\sin^2(\theta)\\\\[/tex]
A farmer had some chickens and some cows. She counted 40 total heads and 126 total legs. How many cows did she have?
What is the value of the following expression when
y = 4?
y³ + 6
Answer:
70
Step-by-step explanation:
y^3 +6
Let y=4
4^3 +6
64+6
70
An opaque bag contains 5 blu marbles, 4 green marbles, and 3 red marbles. If two consecutive marbles are drawn without replacement what is the probability that the first one will be red and the second one will be blue?
Answer:
Probability[Choosing red and blue consecutive] = 5/44
Step-by-step explanation:
Given:
Number of blue marble = 5
Number of green marble = 4
Number of red marble = 3
Find:
Probability[Choosing red and blue consecutive]
Computation:
Probability of red marble = Number of red marble / Total marble
Probability of red marble = 3 / [5 + 4 + 3]
Probability of red marble = 3 / 12
Probability of red marble = 1/4
Probability of next blue marble = Number of blue marble / [Total marble - 1]
Probability of next blue marble = 5 / [Total marble - 1]
Probability of next blue marble = 5 / [12 - 1]
Probability of next blue marble = 5 / 11
Probability[Choosing red and blue consecutive] = Probability of red marble x Probability of next blue marble
Probability[Choosing red and blue consecutive] = [1/4][5/11]
Probability[Choosing red and blue consecutive] = 5/44
Use a table of values to find the solution to the equation f(x)=h(x) where
f (x) = 2/3-x and
h(x)= 3- 2x
Show your work
9514 1404 393
Answer:
x = 2 1/3
Step-by-step explanation:
We can examine the equations to see where the solution lies.
f(x) = (2/3) -x
This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.
h(x) = 3 -2x
This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.
__
In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.
The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.
_____
Additional comment
Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.
Students were asked to choose their favorite sport. If 1/8 of the students chose soccer and 2/8 chose basketball, what fraction chose either soccer or basketball?
The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below:
Step 1: 4(2x − 1) = 11 + 3x + 5
Step 2: 8x − 4 = 16 + 3x
Step 3: 8x + 3x = 16 − 4
Step 4: 11x = 24
Step 5: x = 2.18
In which step did the student first make an error and what is the correct step?
Step 2: 8x − 1 = 16 + 3x
Step 2: 8x − 8 = 6 + 3x
Step 3: 8x − 3x = 16 + 4
Step 3: 8x + 3x = 16 − 8
In which step did the student first make an error and what is the correct step?
Step 2: 8x − 1 = 16 + 3x
Step 2: 8x − 8 = 6 + 3x
Step 3: 8x − 3x = 16 + 4
Step 3: 8x + 3x = 16 − 8
Answer: 8x -3x = 16+4
Step-by-step explanation:
the perimeter p of a square is 4 times the length of a side x
Answer:
p = 4x
Step-by-step explanation:
The perimeter p of a square is 4 times the length of a side x
p = 4x
in a fruit basket , there are 6 apples and 3 oranges . what fraction of the basket are apples ?
Answer:
6/9=2/3
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 6/9
Step-by-step explanation:
btw can you please help me with my latest question in my profile? Would really appreciate it!
Find the area of The Polygon. 12 points.
will give * branliest *
Answer:
A = 1/2 × b × h
A = 1/2 × 60 × 30
A = 1/2 x 900
A = 450
--------
A = 1/2 x 6 x 18
A= 1/2 x 54
A = 27
----------
27 + 450 = 477
=477
Step-by-step explanation:
if a bag of rice weighs 55 kg find the weight of 123 bags of rice
Answer:
6765
Step-by-step explanation:
the answer is 6765
Answer: 6,765 kg
Step-by-step explanation:
55 x 123 = 6,765kg of Rice
-21. A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test mm versus mm, using the results of n 10 samples. (a) Find the P-value
Answer:
0.057
Step-by-step explanation:
To obtain the p value, we need to obtain the test statistic :
For a one sample test :
Test statistic is given by :
(xbar - μ) ÷ (σ/√(n))
(185 - 175) ÷ (20/√(10))
10 ÷ 6.3245553
Test statistic = 1.581
Qe used the Z distribution because we are working with the population standard deviation.
Using the Pvalue from test statistic calculator :
Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;
Pvalue = 0.0569
The profit function of a manufacturer, in dollars, when x units of a certain commodity are produced and sold is given by
P(x)=200x−x2.
(a) The maximum profit is
dollars.
(b) The number of units produced and sold to get the maximum profit is
units.
Answer:
Derivative: P’(x) = 200 - 2x
If P’(x) = 0 , x = 100
Therefore P’ is positive and P increases until x = 100
So the maximum units to maximize profits is 100 units
And for 100 units the profit in dollar is:
20000 - 10000 = 10000
10000 dollars
Lana earns $7.95 per hour . How much does she earn in 8 ?
Answer:
$63.6
Step-by-step explanation:
$7.95=1 hr
$7.95×8=$63.6
in a study of 225 adults the average heart rate was 72 beats per minute assume the population of heart rates is known to be approximately normal with a standard deviation of 10 beats per minute what does a margin of error of 1.1 for the 90% confidence interval of the average beats per minute mean
Answer:
There Is A 90% Chance That The Population Mean Is Between 70.9 And 73.1 Beats Per Minute. There Is A 90% Chance That The Population Mean Is Between 62 And 82 Beats Per Minute. There Is A 10% Chance That The Population Mean Is Less Than 72 Beats Per Minute
Hope it helps
Renaldo has a spinner with 10 equal sectors with labels from 1 to 10. He spins the spinner once. What is the probability that he gets a number that is a multiple of 3, or a 5?
Answer:
2/5
Step-by-step explanation:
3, 6, 9, 5 is four options
4/10 = 2/5
~Help please and ty~ ✨Brainilist✨
Answer:
[tex]\frac{10}{27}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{9} (-\frac{5}{3})=[/tex]
-2 · 5/ -9 · 3 =
10/27 =
[tex]\frac{10}{27}[/tex]
Answer:
[tex]\frac{10}{27}[/tex]
Step-by-step explanation:
[tex]\frac{-2}{9} *\frac{-5}{3}[/tex]
multiply numerator with the other numerator
-2 × -5 = 10 (numerator)
multiply denominator with the other denominator
9 × 3 = 27 (denominator)
put it in its correct order
[tex]\frac{10}{27}[/tex]I need help asap thanks
Answer:
Square root of 0.028
Step-by-step explanation:
17% = 0.17
1/7 = 0.142
1/8 = 0.125 so it isnt in the inequality
1.7 is outside of the inequality
0.091 is out of the inequality
Square root of 0.028 = 0.167 (So it's in the inequality)
Feel free to mark it as brainliest :D
Find the area of the circle:
Answer:
12.56
Step-by-step explanation:
A = 3.14*2^2 = 12.56
Please help I’m stuck :((((((((((((((((((
Answer:
$3.72
hope this helps
have a good day :)
Step-by-step explanation:
Because 1 orange cost 0.93 so you multiply it by 4 to get 3.72
Answer:
$3.72
Step-by-step explanation:
ok so we need to divide 2.79÷3 so we can know how much each orange coast.
2.79÷3 = 0.93
now add 0.93 to 2.79
2.79+0.93 = 3.72
What is the solution to the equation 1.2m − 0.8 = −2.0m?
m = 0.25
m = 0.4
m = 1
m = 4
Answer:
m = 0.25
Step-by-step explanation:
1.2m − 0.8 = −2.0m
Both side +2.0m
1.2m+2.0m-0.8=-2.0m+2.0m
Both side +0.8
3.2m=0.8
Both side divided by 3.2m
[tex]\frac{3.2}{3.2}[/tex]m=[tex]\frac{0.8}{3.2}[/tex]
1×m=[tex]\frac{0.8}{3.2}[/tex]
m = 0.25
The answer is 0.25
I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month."
Laura uses 3 yards of fabric to make 2 skirts. She uses the same amount of
fabric to make each skirt. At this rate, what is the total amount of fabric, in
yards, she needs to make 6 skirts?
Answer:
9 yards
Step-by-step explanation:
3 yards make 2 skirts
2x3=6
3x3=9
9 yards make 6 skirts
Plsss help me
what is 1 1/2 divided by 2/5? Show your work.
Answer:
3.75 or 3 3/4
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
1.5/.4=3.75
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] × [tex]\frac{5}{2}[/tex]
[tex]\frac{3 times 5 }{2 times 2}[/tex]
[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]
solve all of them for brianiest
Answer:
1.x= 3/-4-2 = x = 11/4
2.1.5x /1.5 = x
6/1.5=4
x=4
Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.
Will mark brainliest!
Answer:
n = 245
Step-by-step explanation:
The given sequence is 3,6,9,12,15,…
nth term of the AP is 735
We know that, the nth term of an AP is given by :
[tex]a_n=a+(n-1)d[/tex]
d is common difference, d = 6-3 = 3
Put all the values to find n.
[tex]735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245[/tex]
So, there are 245 terms in the sequence.