Answer:
8
Step-by-step explanation:
12/1.5 is 8
you divide the total amount (12) by how much you're giving out (1.5 or 1 1/2) to find how many even groups can get a share
Which digit in the following number is the one that determines its precision?
16.82
A. 8
B. 2
o
C. 6
D. 1
SUBMIT
Answer:
B. 2
Step-by-step explanation:
The precision of a scientific measuring tool can be defined as how close the values between multiple measurements are to each other, when repeated under the same conditions.
This ultimately implies that, the precision of a scientific measuring tool reflects the reproducibility and repeatability of its measurements, irrespective of how accurate the measurements are.
In science, one of the most effective ways to determine the precision of a scientific measuring tool is to find the difference between the highest and lowest measurements (measured values).
Given the following number; 16.82
The last digit "2" in 16.82 represents the hundredth value and should be used to determine the level of precision of the number.
-8 is an irrational number.
True
False
Answer:
false
Step-by-step explanation:
Chuck has 20 feet of fencing and wishes to make a rectangular fence for his dog Rover. If he uses his house for one side of the fence what is maximum area?
Answer:
50 square feet.
Step-by-step explanation:
Let x represent the width of the fence and y represent the length of the fence.
One side of the length is already covered by the house. This leaves 2x and y. This must sum to 20. Hence:
[tex]2x+y=20[/tex]
The area of the enclosure will be given by:
[tex]A=xy[/tex]
From the first equation, we can subtract 2x from both sides:
[tex]y=20-2x[/tex]
Substitute:
[tex]A=x(20-2x)[/tex]
This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex. So, find the vertex of the equation. Distribute:
[tex]A=20x-2x^2[/tex]
In this case, a = -2, b = 20, and c = 0.
Hence, the vertex is:
[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(20)}{2(-2)}=5[/tex]
Substitute this value back into the equation and evaluate:
[tex]A(5)=20(5)-2(5)^2=50\text{ ft}^2[/tex]
The maximum area is 50 square feet.
This occurs when the dimensions are 5 feet by 10 feet.
For which quadratic equation are the solutions 6 and -8?
A)
x2 + 2x = 48
B)
**+ 8x - 48
C)
x2 - 2x = 48
D)
x2 + 2x = -48
Answer:
A
Step-by-step explanation:
A) is the right answer.
Answer:
A
Step-by-step explanation:
A) Yes, this is solution
b) No
c) No
d) NO
Three quarters of the 12 farms breed cattle. How many farms breed cattle?
Answer:
Your answer is 9 farms breed cattle.
Step-by-step explanation:
(3/4)*12 = 9
or
.75*12 = 9
Answer:
9
Step-by-step explanation:
Three quarter means ¾
¾ of 12
3 × 3
9
if r=3 and h=5
then what is 8r+h=?
Answer:
29 IS THE ANSWER PLEASE MARK AS BRAIN IST
Step-by-step explanation:
Answer:
[tex]r=3\\h=5\\\\8r+h\\= 8(3) + (5)\\= 24 + 5\\= 29[/tex]
How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points. I was able to graph them on Desmos, but I can't seem to figure out how I would go about figuring out the slope and y-intercept in this case... the fractions are what's throwing me off here. Please help!
Answer: [tex]m=\frac{-30}{79},\ y=5.40[/tex]
Step-by-step explanation:
Given
Points are [tex]\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)[/tex]
Convert mixed numeral to fraction
[tex]\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)[/tex]
Slope of the line is
[tex]\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}[/tex]
Equation of line
[tex]\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40[/tex]
What is the volume of the prism, In cubic inches?
Answer:
55 in²
Step-by-step explanation:
Base x Height
can you just please click on this and help
Answer:
i think its b but im not 100 percent sure...
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is d
Based on the number of voids, a ferrite slab is classified as either high, medium, or low. Historically, 5% of the slabs are classified as high, 85% as medium, and 10% as low. A group of 20 slabs that are independent regarding voids is selected for test ing. Let X, Y, and Z denote the number of slabs that are classified as high, medium, and low, respectively.
(a) What are the name and values of the parameters of the joint probability distribution of X, Y , and
Z?
(b) What is the range of the joint probability distribution of X, Y, and Z?
(c) What are the name and the values of the parameters of the marginal probability distribution of X?
(d) Determine E[X] and Var(X).
Determine the following:
(e) P{X = 1, Y = 17, Z = 3}
(f) P{X ? 1, Y = 17, Z = 3}
(g) P{X ? 1}
(h) E[Y ]
Answer:
(a) Name: Multinomial distribution
Parameters: [tex]p_1 = 5\%[/tex] [tex]p_2 = 85\%[/tex] [tex]p_3 = 10\%[/tex] [tex]n = 20[/tex]
(b) Range: [tex]\{(x,y,z)| x + y + z=20\}[/tex]
(c) Name: Binomial distribution
Parameters: [tex]p_1 = 5\%[/tex] [tex]n = 20[/tex]
[tex](d)\ E(x) = 1[/tex] [tex]Var(x) = 0.95[/tex]
[tex](e)\ P(X = 1, Y = 17, Z = 3) = 0[/tex]
[tex](f)\ P(X \le 1, Y = 17, Z = 3) =0.07195[/tex]
[tex](g)\ P(X \le 1) = 0.7359[/tex]
[tex](h)\ E(Y) = 17[/tex]
Step-by-step explanation:
Given
[tex]p_1 = 5\%[/tex]
[tex]p_2 = 85\%[/tex]
[tex]p_3 = 10\%[/tex]
[tex]n = 20[/tex]
[tex]X \to[/tex] High Slabs
[tex]Y \to[/tex] Medium Slabs
[tex]Z \to[/tex] Low Slabs
Solving (a): Names and values of joint pdf of X, Y and Z
Given that:
[tex]X \to[/tex] Number of voids considered as high slabs
[tex]Y \to[/tex] Number of voids considered as medium slabs
[tex]Z \to[/tex] Number of voids considered as low slabs
Since the variables are more than 2 (2 means binomial), then the name is multinomial distribution
The parameters are:
[tex]p_1 = 5\%[/tex] [tex]p_2 = 85\%[/tex] [tex]p_3 = 10\%[/tex] [tex]n = 20[/tex]
And the mass function is:
[tex]f_{XYZ} = P(X = x; Y = y; Z = z) = \frac{n!}{x!y!z!} * p_1^xp_2^yp_3^z[/tex]
Solving (b): The range of the joint pdf of X, Y and Z
Given that:
[tex]n = 20[/tex]
The number of voids (x, y and z) cannot be negative and they must be integers; So:
[tex]x + y + z = n[/tex]
[tex]x + y + z = 20[/tex]
Hence, the range is:
[tex]\{(x,y,z)| x + y + z=20\}[/tex]
Solving (c): Names and values of marginal pdf of X
We have the following parameters attributed to X:
[tex]p_1 = 5\%[/tex] and [tex]n = 20[/tex]
Hence, the name is: Binomial distribution
Solving (d): E(x) and Var(x)
In (c), we have:
[tex]p_1 = 5\%[/tex] and [tex]n = 20[/tex]
[tex]E(x) = p_1* n[/tex]
[tex]E(x) = 5\% * 20[/tex]
[tex]E(x) = 1[/tex]
[tex]Var(x) = E(x) * (1 - p_1)[/tex]
[tex]Var(x) = 1 * (1 - 5\%)[/tex]
[tex]Var(x) = 1 * 0.95[/tex]
[tex]Var(x) = 0.95[/tex]
[tex](e)\ P(X = 1, Y = 17, Z = 3)[/tex]
In (b), we have: [tex]x + y + z = 20[/tex]
However, the given values of x in this question implies that:
[tex]x + y + z = 1 + 17 + 3[/tex]
[tex]x + y + z = 21[/tex]
Hence:
[tex]P(X = 1, Y = 17, Z = 3) = 0[/tex]
[tex](f)\ P{X \le 1, Y = 17, Z = 3)[/tex]
This question implies that:
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3) + P(X = 1, Y = 17, Z = 3)[/tex]
Because
[tex]0, 1 \le 1[/tex] --- for x
In (e), we have:
[tex]P(X = 1, Y = 17, Z = 3) = 0[/tex]
So:
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3) +0[/tex]
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3)[/tex]
In (a), we have:
[tex]f_{XYZ} = P(X = x; Y = y; Z = z) = \frac{n!}{x!y!z!} * p_1^xp_2^yp_3^z[/tex]
So:
[tex]P(X=0; Y=17; Z = 3) = \frac{20!}{0! * 17! * 3!} * (5\%)^0 * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = \frac{20!}{1 * 17! * 3!} * 1 * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = \frac{20!}{17! * 3!} * (85\%)^{17} * (10\%)^{3}[/tex]
Expand
[tex]P(X=0; Y=17; Z = 3) = \frac{20*19*18*17!}{17! * 3*2*1} * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = \frac{20*19*18}{6} * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = 20*19*3 * (85\%)^{17} * (10\%)^{3}[/tex]
Using a calculator, we have:
[tex]P(X=0; Y=17; Z = 3) = 0.07195[/tex]
So:
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3)[/tex]
[tex]P(X \le 1, Y = 17, Z = 3) =0.07195[/tex]
[tex](g)\ P(X \le 1)[/tex]
This implies that:
[tex]P(X \le 1) = P(X = 0) + P(X = 1)[/tex]
In (c), we established that X is a binomial distribution with the following parameters:
[tex]p_1 = 5\%[/tex] [tex]n = 20[/tex]
Such that:
[tex]P(X=x) = ^nC_x * p_1^x * (1 - p_1)^{n - x}[/tex]
So:
[tex]P(X=0) = ^{20}C_0 * (5\%)^0 * (1 - 5\%)^{20 - 0}[/tex]
[tex]P(X=0) = ^{20}C_0 * 1 * (1 - 5\%)^{20}[/tex]
[tex]P(X=0) = 1 * 1 * (95\%)^{20}[/tex]
[tex]P(X=0) = 0.3585[/tex]
[tex]P(X=1) = ^{20}C_1 * (5\%)^1 * (1 - 5\%)^{20 - 1}[/tex]
[tex]P(X=1) = 20 * (5\%)* (1 - 5\%)^{19}[/tex]
[tex]P(X=1) = 0.3774[/tex]
So:
[tex]P(X \le 1) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X \le 1) = 0.3585 + 0.3774[/tex]
[tex]P(X \le 1) = 0.7359[/tex]
[tex](h)\ E(Y)[/tex]
Y has the following parameters
[tex]p_2 = 85\%[/tex] and [tex]n = 20[/tex]
[tex]E(Y) = p_2 * n[/tex]
[tex]E(Y) = 85\% * 20[/tex]
[tex]E(Y) = 17[/tex]
Q7. What is the equation of the system of equations below? Explain how
you arrived at your answer
W
18x + 15-y-0
5y - 90x + 12
Answer: 18x -15 -y =0
Step-by-step explanation:
because linear equations in two variables are always in the format of ax+by+c=0
where a,b and c are constant terms
in this case a = 18; ax= 18x
b= -1 , by= -y
c= 15
Answer:
90x + 75 = 90x + 12, they don't intersect
Step-by-step explanation:
18x + 15 - y = 0
5y = 90x + 12
1. We will be using substitution, to do so, bring y to the other side in the first eqaution.
18x + 15 - y = 0
18x + 15 = y
2. Now plug in 18x+15 into the second equation
5(18x + 15) = 90x + 12
3. Distribute and solve for x
90x + 75 = 90x + 12
Because the slopes are the same (90x) this means that the system does not have an intersect.
Readin
Look at the two sums shaded in the addition table. Why are the sums the same?
+
0
1
2 3
4
5
because
5 x 9 = 9 x 5
0
1
2
because 9 is greater
than 5
unwN -
because
5 +9= 9+5
WNO
0 00 von A
6 7 8 9 10
3 4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
6 7 8 9 10 11 12 13 14 15 16
7 8 9 10 11 12 13 14 15 16 17
9 10 11 12 13 14 15 16 17 18
because 5 and 9 are
both odd numbers
6
7
8
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19 20
Answer:
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19
Step-by-step explanation:
PLEASE HELP ME
Angelique makes beaded jewelry. The graph below shows the number of beads on varying cord lengths. Jewelry  A necklace contains 88 beads. Based on the information above, which is the best estimate for the cord length? 21 inches 26 inches 34 inches 36 inches.
Answer:
please show answer choices
Step-by-step explanation:
The weight, in pounds, of a newborn baby tt months after birth can be modeled by the equation W=1.75t+6.W=1.75t+6. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
the slope is 1.75
Step-by-step explanation:
Interpretation: The weight of newborn is 6 lb at birth, and every month baby gained 1.75 lb. You replace x with month you want to know the weight. For example you can calculate the weight after 4 month : w= 1.75(4)+6= 13 lb
A linear function is given by the equation y=4x. Using the points x and x+1, show that the y-values increase by 4 between any two points separated by x2−x1=1
Answer:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
Step-by-step explanation:
Given
[tex]y = 4x[/tex]
[tex](x_1,x_2) = (x,x+1)[/tex]
Required
Show that the y values increases by 4 for [tex]x_2 - x_1 = 1[/tex]
We have:
[tex]y = 4x[/tex]
For [tex]x_1 = x[/tex]
[tex]y_1 = 4x_1[/tex]
Substitute [tex]x_1 = x[/tex]
[tex]y_1 = 4x[/tex]
For [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4x_2[/tex]
Substitute [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4(x+1)[/tex]
[tex]y_2 = 4x+4[/tex]
So, we have:
[tex]y_2 = 4x+4[/tex]
[tex]y_1 = 4x[/tex]
Subtract [tex]y_1[/tex] from [tex]y_2[/tex]
[tex]y_2 - y_1 = 4x + 4 - 4x[/tex]
Collect like terms
[tex]y_2 - y_1 = 4x - 4x+ 4[/tex]
[tex]y_2 - y_1 = 4[/tex]
Hence:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
i.e. an increment of 4
240% of what number is 360? +
Answer:
240% of 150 is 360
Step-by-step explanation:
240% of [tex]x[/tex] = 360
[tex]\frac{240}{100}[/tex] x [tex]x[/tex] = 360
2.4 [tex]x[/tex] = 360
[tex]x[/tex] = [tex]\frac{360}{2.4}[/tex]
[tex]x[/tex] = 150
Plato!! Please help!!!
Answer:
[tex]a =7[/tex] [tex]b = 2[/tex] [tex]c = -4[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Required
Find a, b and c
[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Take LCM
[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Expand
[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
Collect like terms
[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]
By direct comparison:
[tex]ax^2= 7x^2 \to a = 7[/tex]
[tex]bx = 2x \to b = 2[/tex]
[tex]-4 = c \to c = -4[/tex]
I need help can someone tell me which choice is correct?
Answer: A, C, D
Step-by-step explanation:
A is correct because Audrey reads 40 pages a day, and David reads 20. When you divide 40 by 20, you get 2. This means that 2 times 20 would be 40, and anything multiplied by 2 is "twice".
40 ÷ 20 = 2
2 × 20 = 40
B is not correct because after 6 days, Audrey reads 240 pages, and David reads only 120. We can figure this out by multiplying the pages read by 6.
Audrey: 40 × 6 = 240
David: 20 × 6 = 120
C is correct because when you subtract 20 from 40, you get 20. Since Audrey reads 40 pages a day and David reads 20, you can use this equation: 40-20 to figure the answer out. Audrey reads 20 more pages every day.
[tex]40-20=20[/tex]
D is correct because after 2 days, Audrey will have read 80 pages, and David will have read 40 pages. When you subtract 40 from 80, you get 40 pages.
40 × 2 = 80
20 × 2 = 40
80 - 40 = 40
E is not correct because, after 3 days, Audrey will have read 120 pages, and David will have read 60 pages. One-third of 120 is 40, not 60. Three times 60 would be 180, not 120. So, This answer is incorrect.
the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence
Answer:
The sequence is:
10, 30, 50, 70, 90.....................
Step-by-step explanation:
We have,
First term (a) = 10
Common difference (d) = ?
Sum of first 5 terms ([tex]S_{5}[/tex]) = 250
or, [tex]\frac{n}{2} [{2a+(n-1)d}] = 250[/tex]
or, [tex]\frac{5}{2} [2*10 + 4d]=250[/tex]
or, [tex]\frac{5}{2} * 4[5+d]=250[/tex]
or, 10(5 + d) =250
or, 5 + d = 25
∴ d = 20
Now,
2nd term = a + d = 10 + 20 = 30
3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50
4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70
5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90
HELP ME! Look at the stem-and-leaf plot. What is the mode of the numbers?
Given:
The stem-and-leaf plot or a date set.
To find:
The mode of data set.
Solution:
From the given stem-and-leaf plot, we get the numbers of the data set.
64, 67, 70, 70, 71, 75, 76, 78, 78, 80, 82, 82, 88, 91, 93, 94, 97, 98, 100, 100, 100
Mode of a date set is the most frequent value.
In the given data set the most frequent value is 100 with frequency 3.
Therefore, the mode of data set is 100. Hence, option A is correct.
Answer:it is A: 100
Step-by-step explanation:
i got it right
good luck with your test :)
What is the perimeter of this tile?
in?
4 in
1 in
Answer:
perimeter of tile =2(l+b)
2(4+1)2×510 inhope it helps
stay safe healthy and happy.
A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x)=-40x+640, where x is the price, in dollars, of each ticket.
Answer:
600 or 16
Step-by-step explanation:
Answer:
A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x)=-40x+640, where x is the price, in dollars, of each ticket.
find the vertex and the x- and y- intercept of the following quadratic equations
y = 5x² +15x+10
Answer:
x int. (-1,0) and (-2,0). y-int,(0,10)
Step-by-step explanation:
y-int. it's 10 because the y-int is always the c value.
x-int.
x=-b±√b²-4ac/2a
x=-15±√15²-4(5)(10)/2(5)
x=-15±√225-200/10
x=-15±√25/10
x= -15+5/10. x=-15-5/10
x=-10/10. x=-20/10
x=-1. x=-2
From first to last, when did the presidents serve?
Drag the presidents' names into the correct order according to when they served.
Answer:
The answer is Gerald R. Ford, Jimmy Carter, Ronald Reagan, and lastly George H.W Bush
Step-by-step explanation:
Can you help me on this?
Answer:
d= -32
Step-by-step explanation:
Answer:
-5=d/4+3
-5-3=d/4
-8=d/4
-8*4=d
-32=d
Step-by-step explanation:
Plz help me well mark brainliest if correct!
Answer:
ok
Step-by-step explanation:
Answer:
The length is 8.
Step-by-step explanation:
If you know the formula for area is LxW. Use this but reverse it. The area is 24 and the width is 3. Now divide 24/3=8. Simple as that!
Formula: A/W=L or A/L= W use this if you need more help! Hope it helps (:(:
Find the common difference of the arithmetic sequence -2,6,14,...
Lets note the change between each of the numbers in the sequence:
-2 --> 6 ---> 14
Next, make an equation between each of these numbers with x being the change between them
-2+ x = 6, 6 + x = 14 .
Now, solve each of these equations:
-2+ x = 6 --> -2+ x = 6 Add 2 on both sides to cancel out the -2 --> x = 8
6+ x = 14 --> -2+ x = 6 Minus 6 on both sides to cancel out the 6 --> x = 8
From this, the common difference will be 8.
Hope that helps.
Pls HELP
3. Which image shows a reflection over the linex=2?
Answer:
C
Step-by-step explanation:
C is the answe
What is mZMNP?
A 73
B 107
C 110
D 146
Answer:
zMNP=180-73
=107 IS THE ANSWER
Can someone Please help
Answer:
80
Step-by-step explanation:
20+80+x=180
100+x=180
x=180-100
x=80
plz mark as brainliest