Answer:
b) 1.75 c) 0.875
Step-by-step explanation:
lt is given that a couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys.
a) The possible combination for the number of children that a couple might have :
X 1st girl 1st boy, 2nd girl 1st ,2nd boys,3rd girl 1,2,3rd boys Probability- 0.5 0.25 0.125 0.125
b) Expected number of children :
1(0.5) + 2 ( 0.25 ) + 3 ( 0.125) + 3( 0.125)
= 1+ 0.75
= 1.75
c) Expected number of boys :
0 x 0.5 + 1 x 0.25 + 2 x 0.125 + 3 x 0.125
= 0.875
Luke grew some carrots in his garden. Their weights, in grams, are listed below.
45, 48, 51, 52, 55, 56, 57, 59, 60, 62, 66, 69, 73
Which histogram represents the weights of Luke's carrots?
Answer:
your answer is totally wrong
Step-by-step explanation:
The histogram is as given.
What is a histogram?A histogram is a representation of numerical data, where each data is represented as a vertical bar, and the height of the bar gives the frequencies of the values in the data.
Given,
Weights of carrots:
45, 48, 51, 52, 55, 56, 57, 59, 60, 62, 66, 69, 73
The histogram is as given below.
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give the exact form and decimal form of the equation
8=9sin(6x)
simplify the equation into the form sin(ax)=b and use the inverse sin to solve for x
Answer:
Exact form: [tex]\sin{(6x)} = \frac{8}{9}[/tex]
Decimal form: [tex]\sin{(6x)} = 0.8889[/tex]
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:
[tex]8 = 9\sin{(6x)}[/tex]
Placing into the desired format, the exact format is:
[tex]\sin{(6x)} = \frac{8}{9}[/tex]
In the decimal part, we divide 8 by 9. So
[tex]\sin{(6x)} = 0.8889[/tex]
Solving for x:
We apply the inverse sine. So
[tex]\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}[/tex]
[tex]6x = 62.73[/tex]
[tex]x = \frac{62.73}{6}[/tex]
[tex]x = 10.455[/tex]
The solution for x is of 10.455º
What are the slope and y-intercept for the following equation? 3x + 20 = -4y
Answer:
rjdjddd
Step-by-step explanation:
u u3ueueneehnenenee
Which of these function has a greater rate of change than the function graphed bean why
1
3
12
.
12
Oya 2x + 12, because the rate of change of the graphed function is 9
y = 10x + 1, because the rate of change of the graphed function is 3
Oy10x 1, because the rate of change of the graphed function is 9
y = 212, because the rate of change of the graphed function in 3
Answer:
The 2nd option is correct.
i.e.
y = 10+1, because the rate of change of the graphed function is 3.
Step-by-step explanation:
From the graph,
Taking two points
(0, 0)(3, 9)Finding the rate of change or slope between (0, 0) and (3, 9)
Using the formula
Rate of change = Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [9 - 0] / [3 - 0]
= 9 / 1
= 3
Thus, the rate of change or slope of the line = m = 3
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptConsidering the function in 2nd option
y = 10x+1
Comparing with the slope-intercept form of the line equation y = mx+b
The rate of change or slope = m = 10
Conclusion:
The rate of change or slope of the graphed line: m = 3
The rate of change or slope of y = 10x+1 is: m = 10
Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.
Hence, the 2nd option is correct.
i.e.
y = 10+1, because the rate of change of the graphed function is 3.
If the circumference if a circle is C inches which equation represents the diameter of the circle d .
Answer:
c=π⋅d , Where: c is the circumference of the circle, and d is the diameter of the circle. Explanation
1. A piece of steel has a volume of 12 cm3
and a mass of 96g. What is its density?
Answer:
it's density is 8 g /cm³
Step-by-step explanation:
Mass (m) = 96 g
Volume (v) = 12 cm³
Density (d) =?
We know density is defined as mass per unit volume so
d = m/v
= 96 / 12
= 8 g/cm³
Hope it will help :)
Note : if in the question it is said to write in sI system u have to write in kg/m³.
Can someone help me out with this
Pls help I’m failing I will brainlest
3- blank = 11
Please help
Answer:
14
Step-by-step explanation:
3+11=14
soo that is the answer (i read it correctly it is the right answer)
What this the value of f
Answer:undefined
Step-by-step explanation:-5 is not in the ranges of 0 to 3, greater than three and it is not equal to three so undefined.
Will give brianliest
It would Be C. Took longer then expected somehow.
Please help :/ I will mark brainlisest
Step-by-step explanation:
First add outer numbers then add inner numbers theninus inner number from outside number I think I had learnt it on grade 1 now I am on 7th standard
Can someone please help me
Answer:
the constanst is everytime have and⭐
I need help asap quick
I THINK its 0.4... I could be wrong
32 students make up 100% of the class, what would the percentage be for 3 students
Answer:
Step-by-step explanation:
32=100%
3=3/32 x 100%
=300/32%
=9 3/8%
The percentage to be for 3 students if 32 students make up 100% of the class is 9.375%.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum.
Given:
32 students make up 100% of the class
Calculate the percentage of one student,
1 student = 100 / 32 = 3.125 %
Calculate the percentage of 3 students
3 students = 3.125 × 3 = 9.375%
Therefore, the percentage to be for 3 students if 32 students make up 100% of the class is 9.375%.
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What is the slope-intercept equation of the line below?
A. y=-2x-1
B. y= 2x+1
C. y = 2x-1
D. y=-2x+1
Answer:
S
Step-by-step explanation:
slope is- and y-intercept is -1
y=-mx-1
A
Answer: A. y=-2x-1
Step-by-step explanation: took the quiz and got it right.
Does anyone know the answer to this math question please help
Answer:
y= − 5 x ^2 − 40 x − 78
Step-by-step explanation:
Write in standard form.
convert degrees to radians
1. 15°= 15π÷180 = π÷12
2. 40° = 40π÷180 = 2π÷9
3. 65°= 65π÷180 = 13π÷36
4. 21°= 21π÷180= 7π÷60
5. 81°= 81π÷180 = 9π÷20
Find the common ratio and the three terms in the sequence after the last one given. -4, 16, -64, 256, …
Answer:
The ratio of all the adjacent terms is the same and equal to
[tex]r=-4[/tex]
The next three terms after the last one will be:
[tex]a_5=-1024[/tex][tex]a_6=4096[/tex][tex]a_7=-16384[/tex]Step-by-step explanation:
Given the sequence
-4, 16, -64, 256, …
Finding the common ratio
An arithmetic sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
computing the ratios of all the adjacent terms
[tex]\frac{16}{-4}=-4,\:\quad \frac{-64}{16}=-4,\:\quad \frac{256}{-64}=-4[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-4[/tex]
Finding the next three terms
Given the sequence
-4, 16, -64, 256, …
here
[tex]a_1=-4[/tex]
[tex]r=-4[/tex]
substituting [tex]a_1=-4[/tex] and [tex]r=-4[/tex] in the nth term
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=-4\left(-4\right)^{n-1}[/tex]
substituting n = 5 to determine the 5th term
[tex]a_5=-4\left(-4\right)^{5-1}[/tex]
[tex]a_5=-4^4\cdot \:4[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]a_5=-4^{1+4}[/tex]
[tex]a_5=-4^5[/tex]
[tex]a_5=-1024[/tex]
substituting n = 6 to determine the 6th term
[tex]a_6=-4\left(-4\right)^{6-1}[/tex]
[tex]a_6=-4\left(-4^5\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]a_6=4\cdot \:4^5[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]a_6=4^{1+5}[/tex]
[tex]a_6=4^6[/tex]
[tex]a_6=4096[/tex]
substituting n = 7 to determine the 6th term
[tex]a_7=-4\left(-4\right)^{7-1}[/tex]
[tex]a_7=-4^6\cdot \:4[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]a_7=-4^{1+6}[/tex]
[tex]a_7=-4^7[/tex]
[tex]a_7=-16384[/tex]
Therefore, the next three terms after the last one will be:
[tex]a_5=-1024[/tex][tex]a_6=4096[/tex][tex]a_7=-16384[/tex]A certain manufacturing procedure produces items that have a mean weight of 55 pounds and a standard deviation of 3.2 pounds. With what minimum probability can we assert that the weight of a randomly selected item produced by this procedure is between 45.4 pounds and 64.6 pounds
Answer:
99,7 %
Step-by-step explanation:
P [ 45,4 < X < 64,6 ] ???
P [ 45,4 < X < 64,6 ]
for X = 45,4
z₁ = ( X - μ₀ ) / σ
z₁ = 45,4 - 55 / 3,2
z₁ = - 9,6 / 3,2
z₁ = - 3
And fom z-table we find P [ X = 45,4 ] = 0,0013 or 0,13 %
z₂ = ( 64,6 - 55 )/ 3,2
z₂ = 3
And from z-table we find P [ X = 64,6 ] = 0,9987 or 99,87 %
Then
P [ 45,4 < X < 64,6 ] = 99,87 - 0,13 = 0,9974 or 99,74 %
Now if we look at the values:
μ₀ - 3*σ and μ₀ + 3*σ
we find 55 - 3*3,2 = 55 - 9,6 = 45,4 and 55 + 9,6 = 64,6
We know according to the empirical rule that values from μ₀ ± 3*σ will contains 99,7 % of all values
4 1/2 cups of flour to make 4 fruit cakes how many cups of flour are needed for one fruitcake
Answer:
1 and 1/8
Step-by-step explanation:
I am pretty sure because I did the math
What value of x is in the solution set of 3(x-4)≥5x+2?
Answer: 3x-4 > 5x +2
-3 -3
-------------------------------------
4 > -2 + 2
-2 -2
----------------------------------------
2 > 2x
2 2
----------------------------------------
2 > x
Step-by-step explanation:
If the jet shown carried 10,000 people in 50 trips, how many people did it carry each trip? The jet carried the same number of people each trip. What basic fact helped you find the answer?
Answer:
200
Step-by-step explanation:
10,00/50=200
Which problem can be solved using this equation: 9x + 14 = 100
Answer:
James has 9x cookies he needs 100 he buys 14 more what’s the value of x?
Step-by-step explanation:
Select all the values for that indicate r a positive slope for the line of best fit.
Answer:
u didn't show any pictures so I can't help u. can u show. pictures or something
If the measure of angle B is 67 degrees, what is the measure of angle C? Explain how you know
Answer:
If C is a supplementary angle (Adds to B to equal 180 degrees), then C=180-67=113 degrees.
If C is a complementary angle (Adds to B to equal 90 degrees), then C=90-67=23 degrees.
Step-by-step explanation:
Please help it’s 5 times 5 times 5 times 5 times5
Answer:
625
Step-by-step explanation:
have a great day <3
Answer:
5x5x5x5=625
5x5x5x5= [tex]5^{4}[/tex]
Step-by-step explanation:
6/5 of 7/11 pls help asap
Answer:0.76
Step-by-step explanation:
What is the slope of the line shown below?
1
O A
3
O B. -3
O C. 3
O D.
Answer:
c 3
Step-by-step explanation:
put the rise (change in y) over run (change in x)
find the difference between the y points: 2 and 8
8 minus 2 is 6, so that's your rise
then find the difference between your x points: 2 and 4
4 minus 2 is 2, so that's your run
rise / run = 6/2, which simplified is just 3
Subtract.
(2x2 + 5) – (4x - 3)
O A. -2x2 + 2
B. 2x2 - 4x + 8
C. 2x2 - 4x + 2
D. -2x2 + 8
Answer:
The answer c
Step-by-step explanation: