Answer:
The probability under the given conditions is found:
P(7) = 0.079
Step-by-step explanation:
Let x be the number of adults who believe in reincarnation.
Adults randomly selected = 8
percentage of adult believe in reincarnation = 40% = 0.4
x follows binomial distribution:
P(x) = [tex]\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}[/tex]
where
n= total people random people selected = 8,
x = selected for the part = 7,
p = probability given = 0.4
P(7) = [tex]\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}[/tex]
P(7)= (8)(0.0164)(0.6)
P(7) = 0.07872
Rounding off to 3 decimal positions
P(7) = 0.079
The scale on a map is 1cm for every 400 km. If Maine and Japan are 22cm apart on the map, what is the distance between Maine and Japan? Please help!!!!!
Answer:
8800km
Step-by-step explanation:
If 1cm = 400km
then you have to substitute in 22cm instead of 1cm making it..
22x400=8800.
Hope this helps.
Given area of a rectangle: 7x^2+57x+8
Find Perimeter:
Answer:
Perimeter of the rectangle is 16x+18 units.
Step-by-step explanation:
The area of rectangle is
[tex]7x^2+57x+8[/tex]
First we have to find the factor form of above expression.
Splitting the middle term, we get
[tex]7x^2+56x+x+8[/tex]
[tex]7x(x+8)+1(x+8)[/tex]
[tex](x+8)(7x+1)[/tex]
Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).
Perimeter of a rectangle is
[tex]Perimeter=2(l+b)[/tex]
[tex]Perimeter=2[(x+8)+(7x+1)][/tex]
[tex]Perimeter=2[8x+9][/tex]
[tex]Perimeter=16x+18[/tex]
Therefore, the perimeter of the rectangle is 16x+18 units.
Solve the following inequality
X-4
——- > - 5
5
X-4 /3 > -5
Multiply both sides by 3
X-4 > -15
Add 4 to both sides
X > -11
Answer:
[tex] \frac{x - 4}{3} > - 5[/tex]
[tex]x - 4 > 3 \times ( - 5)[/tex]
[tex]x - 4 > - 15[/tex]
[tex]x > - 15 + 4[/tex]
[tex]x > - 11[/tex]
Step-by-step explanation:
(
[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
solve
Answer:
[tex]8x^{2} -3x-5[/tex]
Step-by-step explanation:
[tex]8x^{2} +4x+4-7x-9[/tex]
[tex]8x^{2} +4x-7x+4-9[/tex]
[tex]8x^{2} -3x-5[/tex]
what is the slope-intercept equation of the line below
Calculate the mean and median of: 202, 199, 223, 199, 223, 256, 301, 199
a. mean = 199, median= 212.5
b. mean = 225.25, median = 199
c. mean = 225.25, median = 212.5
d. mean = 212.5, median = 225.25
Answer:
C. mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
Answer:
C. mean =225.25, median= 212.5
Step-by-step explanation:
Use the relationship between the side lengths and the
angles opposite those sides. What are the smallest and
largest angles of ALMN?
The smallest angle of the triangle is
The largest angle of the triangle is
Answer:
Smallest angle - ∠M
Largest angle - ∠N
Step-by-step explanation:
In a triangle opposite side of a largest angle is largest and opposite side of a the smallest angle is smallest.
In the given triangle LMN,
Side lengths of the triangle have been given as,
LM = 27 in.
MN = 25 in.
LN = 24 in.
Relationship in these sides will be,
LM > MN > LN
Therefore, relationship in their opposite sides will be,
∠N > ∠L > ∠M
The smallest angle of the triangle is angle M.
And the largest angle of the triangle is angle N.
Lydia graphed ΔLMN at the coordinates L (0, 0), M (2, 2), and N (2, −1). She thinks ΔLMN is a right triangle. Is Lydia's assertion correct? Yes; the slopes of segment LM and segment LN are opposite reciprocals. No; the slopes of segment LM and segment LN are not opposite reciprocals. Yes; the slopes of segment LM and segment LN are the same. No; the slopes of segment LM and segment LN are not the same.
Answer:
No; the slopes of segment LM and segment LN are not opposite reciprocals
Step-by-step explanation:
slope of LM: (2 - 0)/(2 - 0) = 1
slope of LN: (-1 - 0)/(2 - 0) = -1/2
Two lines are perpendicular when the multiplication of their slopes is equal to negative one, that is, they are opposite reciprocals. In this case:
slope of LM*slope of LN = 1*(-1/2) = -1/2
The correct option is
No; the slopes of segment LM and segment LN are not opposite reciprocals
The calculation is as follows:
slope of LM: [tex](2 - 0)\div (2 - 0)[/tex] = 1
And,
slope of LN: [tex](-1 - 0)\div (2 - 0)[/tex]= [tex]-1\div 2[/tex]
Here two lines should be perpendicular at the time when the multiplication of their slopes is equalivalent to negative one.
So,
= slope of LM × slope of LN
[tex]= 1\times (-1\div 2)\\\\ = -1\div 2[/tex]
Learn more: https://brainly.com/question/9122916?referrer=searchResults
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x). Question 11 options: A) (ƒ + g)(x) = x2 + 6x + 3 B) (ƒ + g)(x) = –x2 + 6x + 7 C) (ƒ + g)(x) = x2 + 2x + 3 D) (ƒ + g)(x) = –x2 + 2x – 7
Answer: C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x ≈ 6.9
Step-by-step explanation:
We use tan∅ to solve this:
tan21° = x/18
18(tan21°) = x
x = 6.90955
Khan academy question
Step-by-step explanation:
There it is..................
Answer:
(2,5)
Step-by-step explanation:
CA=2,AB=3, The angle of C=90 degrees what is the angle of B?
Answer:
m∠B ≈ 41.81°
Step-by-step explanation:
If we draw a picture, it would help a lot. Once we visualize the triangle, we can see that we have sin∅ = 2/3. So, plugging into your calc,
sin∅ = 2/3
∅ = sin^-1(2/3)
∅ = 41.8103
So I’m not great in math at all I spent 15 min crying because I don’t get it so anyone pls help
Answer:
A
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 13 and h = 4 , thus
A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A
Answer:
A, 26
Step-by-step explanation:
Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.
A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Birth Weight and number line from 8 to 9 in increments of 1 tenth labeled Birth Weight (in pounds.) with zero dots over 8, zero dots over 8 and 1 tenth, 2 dots over 8 and 2 tenths, 2 dots over 8 and 3 tenths, 2 dots over 8 and 4 tenths, 3 dots over 8 and 5 tenths, zero dots over 8 and 6 tenths, 1 dot over 8 and 7 tenths, zero dots over 8 and 8 tenths, 1 dot over 8 and 9 tenths, and zero dots over 9 box plot with minimum value 8 and 3 tenths, lower quartile 8 and 4 tenths, median 8 and 5 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 5 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 3 tenths, lower quartile 8 and 5 tenths, median 8 and 6 tenths, upper quartile 8 and 7 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
The data provided is as follows:
X Frequency
8 0
8.1 0
8.2 2
8.3 2
8.4 2
8.5 3
8.6 0
8.7 1
8.8 0
8.9 1
9 0
So, the actual data is:
S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
Minimum (shown at the bottom of the chart) First Quartile (shown by the bottom line of the box) Median (or the second quartile) (shown as a line in the center of the box) Third Quartile (shown by the top line of the box) Maximum (shown at the top of the chart).The data set is arranged in ascending order.
The minimum value is, Min. = 8.2
The lower quartile is,
[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],
Q₁ = 8.3.
The median value is,
[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]
Median = 8.4
The upper quartile is,
[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],
Q₃ = 8.5.
The maximum value is, Max. = 8.9.
So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
I took the practice test
Solve x/-4 - (-8)=12
16
80
-80
-16
Answer:
-80
Step-by-step explanation:
Solve for x for the x value.
hi what is the answer for this
Step-by-step explanation:
first find the side length by
considering a triangle under
the square
[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]
Yellow trapezoid equals to ________? not 2 or 3
Answer:
The yellow trapezoid equals to 6.
Step-by-step explanation:
Assuming that two green items equals to two purple items and one yellow trapezoid, we can make the equation 5+5=2+2+x. Simplifying both sides, we get 10=4+x. If we subtract 4 from both sides and isolate x, we get that x=6.
Answer:
yellow trapezoid = 6
Step-by-step explanation:
since the green crescent equals 5, and there are two on the left side, that would equal 10, so the right side also should equal 10 too. The purple teardrops equal two, and there are two on the right side, so the total of teardrops on the right side is equal to 4. Since both sides need to equal to 10, and we only have 4, we need to find the amount of the yellow trapezoid. To do that you need to subtract 4 from 10, to get 6, which is the amount of the yellow trapezoid.
Evaluate the expression for
x = 8, y = 4:
x + 10/y+5
Answer:
2Solution,
X=8
y=4
Now,
[tex] \frac{x + 10}{y + 5} \\ = \frac{8 + 10}{4 + 5} \\ = \frac{18}{9} \\ = 2[/tex]
hope this helps...
Good luck on your assignment..
Solve for x. 4x−4−3x2−16=6x+4 −112 372 −432 112
Answer:
Input interpretation:
solve x×4 x - 4 - 3 x^2 - 16 = 6 x + 4 - 112×372 - 432×112
Results:
x = 3 - i sqrt(90015)
x = 3 + i sqrt(90015)
|7t|=35 solve the equation
Answer:
t = 5,-5
Step-by-step explanation:
35/7 = 5
because it is an absolute value, it will always be positive:
-35/7 = -5
Answer:
T = 5,
Step-by-step explanation:
7T = 35
divide 7 by both
T = 5
hope this helps
5.
Name the set(s) of numbers to which –5 belongs.
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
integers, rational numbers
rational numbers
Answer:
integers, rational numbers
Explanation:
Integers are any whole number (positive or negative). -5 is a whole number, not a fraction or decimal.
Rational numbers can be written in the fraction form a/b where a and b are both integers and b does not equal 0. -5 can be written as -5/1.
There are two sets of real numbers that include the number -5. which represents integers and rational numbers.
What is a rational number?A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
It can be a/b of two integers, a numerator a, and a non-zero denominator b.
What are Integers?Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.
The result is rational because -5, can be expressed as a ratio of two integers that can be -5/1 of two integers, a numerator 5, and denominator 1 ( which is a non-zero).
There are two sets of real numbers that include the number -5.
It represents Integers and rational numbers.
Hence, the correct answer would be Option (C).
Learn more about Integers here :
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Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300 followed by monthly payments of $110. The two options accumulate the same amount of interest and require the same number of monthly payments. What is the amount of interest for this loan?
Answer: $500
Step-by-step explanation:
Hi, since both credit options accumulate the same amount of interest:
1000+125x=1300+110x
Solving for x(number of months)
125x-110x =1300-1000
15x = 300
x =300/15
x= 20 months
Replacing x =25 in one equation:
1000+125x =
1000+125(20)=
1000+2500= $3500
Finally, we have to subtract the amount of the purchase (3000) to the result obtained:
3500-3000=$500
Feel free to ask for more if needed or if you did not understand something.
the students in Mrs. Kranger's class are holding a car wash to raise money for their end- of- year field trip. they washed 45 cars by noon, and their goal is to wash 110 cars by the end of the day. write and solve an addition equation to find c, the number of cars they still need to wash to meet their goal.
Answer:
45 + c = 110
c = 65
Step-by-step explanation:
110 - 45 = 65
Please mark as brainliest!
Answer:
They need to wash 65 more cars to reach their goal.
Step-by-step explanation:
45+c=110
subtract 45 from both sides
c=65
An electrician uses the function f(x) = 60 + 40x to calculate the total cost, in dollars, for a service call that takes x hours to
complete. What does the coefficient 40 represent?
A)
The electrician works 40 hours.
B)
The electrician charges $40 per hour.
Eliminate
The electrician drives 40 miles to work.
D)
The electrician charges a $40 trip charge.
Answer:
(B) The electrician charges $40 per hour.
Step-by-step explanation:
Total cost=fixed cost + variable cost
F(x)=60+40x
Fixed cost =60
Variable cost=40x
x=hours of service
40=40 dollar per hour charge
The coefficient 40 represent the electrician charge of $40 per hour
(B) The electrician charges $40 per hour.
Samantha can write 1 1⁄2 pages in 3 minutes. How many pages could she write in 12 minutes?
Answer:
[tex]6\:\mathrm{pages}[/tex]
Step-by-step explanation:
[tex]3 \times 4 = 12[/tex]
[tex]1\frac{1}{2} \times 4=6[/tex]
Answer:
6 pages
Step-by-step explanation:
1.5 pages x pages
--------------- = ------------
3 minutes 12 minutes
Using cross products
1.5 * 12 = 3x
Divide each side by 3
18 /3 = 3x/3
6 =x
6 pages
True/False Worth
points)
(05.02 LC)
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
O False
Answer:
the answer is true
Step-by-step explanation:
Because a parallelogram would be the result.
I nedd help on this please
Answer:
c sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)
Step-by-step explanation:
The distance formula is
d = sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)
It is the difference between the coordinates. It is based on the Pythagorean theorem
Which diagram can be used to prove AABC – ADEC using similarity transformations?
А
E
B
D
А
D
В
С
The diagram that can be used to prove [tex]\triangle ABC \sim \triangle DEC[/tex] is (b)
Similar triangles may or may not have congruent corresponding sides, but the corresponding angles must be congruent.
The above means that,
All three angles of the two triangles must be congruentThe three sides must be in equivalent proportions.Using the above highlight, we can conclude that the diagram that can be used to prove [tex]\triangle ABC \sim \triangle DEC[/tex] is (b) see attachment
Read more about similar triangles at:
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Which equation is quadratic in form
Answer:
The answer is A because the quadratic equation formula
Step-by-step explanation:
because the quadratic equation formula is
ax^2+bx+c=0
and when you sub A into it, you get it in the needed form
Answer:
The Answer is A
Step-by-step explanation:
Please Help! ASAP C: :D
Answer:
C). Zero
Step-by-step explanation:
This is a pretty simple question.
Any number multiplied by zero will be zero, and zero cannot have a positive or negative sign, which is why zero has its own sign, which is known as the Sign of Zero.