What is the relationship between the 6 in the number 6.45 and the 6 in the number 62
6 in the number 6.45 is the ones digit.
6 in the number 62 is the tens digit.
In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answer:
3/10
Step-by-step explanation:
let n(B)=students who have a brother
n(S)= students who have a sister
n(U)=n(B)+n(S)+n(BUS)'-n(BnS)
30=12+25+2-n(BnS)
30=39-n(BnS)
n(BnS)=39-30=9
So 9 students have a brother and a sister
Probability=9/30=3/10
The probability that a student who has a brother also has a sister will be 0.30.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings.
The number of students who have both brothers and sisters. Then we have
25 - x + 12 - x + x + 2 = 30
x = 25 + 12 + 2 - 30
x = 9
Then the probability that a student who has a brother also has a sister will be given as,
P = 9 / 30
P = 0.30
The probability that a student who has a brother also has a sister will be 0.30.
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Tatiana’s book has an area of 88 square inches what are the length and width measurements of the book
Answer:
9.38 inch
Step-by-step explanation:
[tex]length \: = width \: = \sqrt{area} = \sqrt{88} = 9.38 \: inch[/tex]
Answer:
9.38 inch
Step-by-step explanation:
Which the following expressions is equivalent(
a + b)(a-b)?
Answer:
Step-by-step explanation:
(a+b)(a-b)=a^2-b^2
a bakery sells 10 lemon poppy muffins for every 1 bran muffin sold.
Answer:
The answer is D.
Step-by-step explanation:
My explanation is in the picture as u can see.
Help!!! I need help ASAP!!!
Answer:
The answer would be C.
Step-by-step explanation:
The formula for the area of a square is A=(3.14)r^2
Answer:
its A
Step-by-step explanation:
Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Write an equation to represent his depth.
Answer:
i know the answer but not the equation
Step-by-step explanation:
Give two appropriate names for the line.
Points A, B, C, and D appear from left to right on a number line.
Answer:
AD and BC
Step-by-step explanation:
Lines are infinite
Thank, 5 star, and brainliest if helpful!
what is y+4=-6(x+6) in standred form
What's the slope and y-intercept of the equation y = 9? Question 3 options: A) m = 0; b = -9 B) m = 0; b = 0 C) m = 0; b = 9 D) m = 9; b = 0
Answer:
b
tep-by-step explanation:
The correct option is C) m = 0; b = 9. The slope and y-intercept of the linear equation y = 9 are m = 0; b = 9.
To explain step by step:
The equation y = 9 represents a horizontal line that intersects the y-axis at the point (0, 9).The slope of a horizontal line is always zero because there is no change in the y-coordinate as x varies.Therefore, the slope (m) of the equation y = 9 is 0.The y-intercept (b) is the value of y when x is zero. In this case, when x is zero, y remains constant at 9.Thus, the y-intercept (b) of the equation y = 9 is 9.In summary, the slope of the linear equation y = 9 is 0, indicating a horizontal line, and the y-intercept is 9, representing the point where the line intersects the y-axis.
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The value of 7 rounded to the nearest hundredth
Answer: 9.22
Step-by-step explanation:
2^2 + 9^2 = C^2
4+81=C^2
85=C^2
(square root both sides)
C=9.219544
C=9.22
Cody had 12 sodas. Jerritt gave him 6 more sodas. Cody then gave
Leonard 5 sodas. How many sodas did Cody end up with in the end?
Answer:
13 soda
Step-by-step explanation:
12+6=18
18-5=13
50 POINTS
Select the correct answer.
Consider function f.
f(x)= 2x^2
What is the value of (f o f)(x)?
A: 16x^4
B: 4x^2
C: 4x^4
D: 8x^4
Answer:the answer is D
Step-by-step explanation:
I just took the test,its 8x^4.
The value of the function (f o f)(x) will be 4x⁴. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x)= 2x²
Then the value of the function (f o f)(x) will be
(f o f)(x) = f(x) · f(x)
(f o f)(x) = 2x² · 2x²
(f o f)(x) = 4x⁴
Then the correct option is C.
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say a radical cube root equation with an extraneous solution and a radical cube root equation without an extraneous solution
One equation that does have an extraneous solution is: [tex]x + 1[/tex] = [tex]\sqrt{7x+ 15}[/tex]
One equation that doesn't have an extraneous solution is: [tex]\sqrt{x}[/tex] = 4
Answer:
agreed withe one above
Step-by-step explanation:
please help asap!!!!!!
Answer:
z = 66
Step-by-step explanation:
QT is a midsegment. Thus, applying the midsegment theorem:
RS = 2(QT)
QT = z - 33,
RS = z
Plug in the values into the equation
z = 2(z - 33)
z = 2z - 66
Subtract 2z from each side
z - 2z = -66
-z = -66
Divide both sides by -1
z = 66
What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?
15
52
4
5
Answer:
Multiply both sides by [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}x = 10[/tex]
Required
Get an equivalent of [tex]x = 25[/tex]
To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]
[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]
[tex]x = 10 * \frac{5}{2}[/tex]
[tex]x =\frac{10*5}{2}[/tex]
[tex]x =\frac{50}{2}[/tex]
[tex]x = 25[/tex]
Find the first four terms of the sequence given by the following.
4,=(-1)".31%, n=1, 2, 3, ...
Answer:
The first term of the sequence is:
a₁ = -3a₂ = 12a₃ = -27a₄ = 48Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule: [tex]a^1=a[/tex]
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is:
a₁ = -3a₂ = 12a₃ = -27a₄ = 48What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
The find the slope of a line given any two points, we can use the slope formula given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can choose the two points (0, -1) and (1, 5) from the graph.
Let (0, -1) be (x₁, y₁) and let (1, 5) be (x₂, y₂). So:
[tex]\displaystyle m=\frac{(5)-(-1)}{(1)-0}=\frac{6}{1}=6[/tex]
Hence, the slope of the line is 6.
slope is the ratio of vertical increase to horizontal increase
Printer A can print 21 pages per minute. Printer B can print 1300 per hour. Which printer will have the biggest number of pages in two hours.
(please show work)
Answer:
Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.
Step-by-step explanation:
herrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeee pt 3
Answer: 2808 ft.
Explanation: 78*36 is 2808
2b² +11b=40
Help please
9514 1404 393
Answer:
b = -8, 2.5
Step-by-step explanation:
The equation can be rewritten to standard form:
2b² +11b -40 = 0
In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.
-80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)
The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:
2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found
2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms
(2b -5)(b +8) = 0 . . . . . . . . finish the factoring
Solutions are values of b that make these factors zero:
2b -5 = 0 ⇒ b = 5/2
b +8 = 0 ⇒ b = -8
Solution to the equation are b = -8 and b = 5/2.
The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age of 6 to 14 months and y =volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article.
A) what is the value of the correlation coefficient? (Give the answer to two decimal places.) r=
B)Find the equation of the least- squares lines. (Give the answer to two decimal places.)
C) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.9. (Give the answer to two decimal places.)
Answer:
[tex]r=0.77[/tex], [tex]\hat{y}=770.50+39.37x[/tex] and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is [tex]\hat {y}=920.10[/tex]
Step-by-step explanation:
We attached a table below,
[tex](a)[/tex] We attached a table below,
Therefore ,
correlation coefficient [tex]r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 } }[/tex]
[tex]=\frac{41.04}{53.19}[/tex]
[tex]=0.77[/tex]
[tex](b)[/tex] We calculate the least squares equation.
[tex]b_1=r(\frac{\sigma_y}{\sigma_x} )\\ =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\ =0.77(\frac{52.15}{1.02} )\\ =0.77(51.13)\\ =39.37[/tex]
Now , calculate intercept coefficient.
[tex]b_0=\bar{y}-r\bar{x}\\[/tex]
[tex]=(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50[/tex]
Therefore, the regression equation is, [tex]\hat{y}=770.50+39.37x[/tex]
[tex](c)[/tex] Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8
[tex]\hat{y}=770.50+39.37x[/tex]
[tex]=770.50+39.37(1.9)\\=770.50+74.80\\=920.10[/tex]
If the circumference of a circle is 4π cm, what is its area?
Answer:
12.56cm
Step-by-step explanation:
4π cm
4 x 3.14
12.56cm
write an equivalent expression to represent Bradens total earnings for this week.
8h + 129 + 3h = ?h + ?
Answer:
11h +129
Step-by-step explanation:
8h + 129 + 3h = ?h + ?
11h +129
Answer:11h +129
Step-by-step explanation:You add like terms together which are 8 h and 3h which gives you 11 h.And you have 129 left so you add 11 h to 129 .So you get 11 h +129 as your equivalent expression to represent Bradens total earnings for this week.
Hope it helps and ur are welcome :)
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
25W+40J<120
According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?
Mwamini drinks juice at a rate of ___
seconds per liter, and her time limit is ____
seconds.
Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?
Choose 1 answer:
yes or no
Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
Answer:Yes
Step-by-step explanation:
1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
2) Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
What is inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
For given question,
We have been given an inequality 25W + 40J < 120
W represent the number of liters of water and J represent the number of liters of juice.
Mwamini drinks water at a rate of 25 seconds per liter.
Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
If Mwamini drinks 2 liters of water and 1 liter of juice.
Here, W = 2 lit and J = 1 lit
So, ⇒ 25W + 40J
= 25(2) + 40(1)
= 50 + 40
= 90
< 120
This means, Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
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Solve the system by substitution.
y = x - 6
y = -5x
Answer:
So.... you gave me the value of y in terms of x, twice...I am not sure what you want me to solve.
please answer asap!!
Answer:
16
Step-by-step explanation:
find the perimeter of 15ft 13ft
Rewrite in simplest terms:
10 ( 7 g − 9 h ) − 4 h − 8 ( − h + 8 g )
Answer:
[tex]6g -86h[/tex]
Step-by-step explanation:
[tex]10( 7g-9h) -4h - 8(-h + 8g)[/tex]
1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.
[tex]10( 7g - 9h) -4h - 8(-h + 8g)\\70g - 90h-4h+8h-64g\\[/tex]
2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)
[tex]70g - 90h-4h+8h-64g\\\\70g-64g-90h-4h+8h\\6g-86h[/tex]
There are no more like terms to combine, so [tex]6g -86h[/tex] is the answer.
Which operation will "undo" subtraction?
Answer: addition ??
Step-by-step explanation:
Answer:
Addition
Step-by-step explanation:
An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.
Therefore, it is addition
Hope this helps :)