Answer: 13/25
Step-by-step explanation:
The probability that a person chosen at random from this group has brown or green eyes is 0.52.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The table of the number of people and the colour of their eyes colour is given as,
Colour of Eyes Number of People
Brown 20
Green 6
Blue 17
Hazel 7
According to the table, the total number of people who participated in the survey is 50. Therefore, the probability that a person chosen at random from this group has brown or green eyes can be written as,
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability=\dfrac{\text{Number of people with brown and green eyes}}{\text{Total number of people who participated in the survey}}[/tex]
[tex]\rm Probability=\dfrac{20+6}{50}=\dfrac{26}{50} = 0.52[/tex]
Hence, the probability that a person chosen at random from this group has brown or green eyes is 0.52.
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An Isosceles triangle has single measures 55,55,and 70. The side across from the 70 angle is 10 inches long. How long are the other sides?
Answer:
8.717 both the sides
Step-by-step explanation:
Given:
Let ABC be the given triangle with
angle A= 55
angle B=55
angle C= 70
side across angle C, c= 10 inches
side across angle B, b =?
aide across angle A,a=?
Now using the law of sin to find a and b:
a/sinA=c/sinC
a= (c/sinC)(sinA)
Putting the values:
a= (10/sin70)(sin55)
a= 8.717
As the given triangle is isosceles so side a=b
hence a=b= 8.717 inches !
A line passes through the point (-7,5) And has a slope of 1/2 which is another point that the line passes through
(9,13) would be another point that the line passes through.
Answer: 9/13 C
Step-by-step explanation:
HELP PLEASE HELP IF YOU CAN :)
Answer:
A
Step-by-step explanation:
If you plug them in you get 2≥-1
can someone please help me with this!!! pleasee
Answer:
[tex]\large\boxed{Q6.\ \sin X\approx0.778}\\\boxed{Q7.\ x\approx5.9}[/tex]
Step-by-step explanation:
Q6.
[tex]\sin\theta=\dfrac{opposite}{hypotenuse}[/tex]
We have
[tex]opposite=14\\\\hypotenuse=18[/tex]
Substitute:
[tex]\sin X=\dfrac{14}{18}=\dfrac{14:2}{18:2}=\dfrac{7}{9}=0.777...\approx0.778[/tex]
Q7.
Use sine.
We have
[tex]opposite=x\\\\hypotenuse=8\\\\\alpha=48^o\\\\\sin48^o\approx0.7431[/tex]
Substitute:
[tex]\dfrac{x}{8}=0.7431[/tex] multiply both sides by 8
[tex]x=5.9448\to x\approx5.9[/tex]
What is the first step when solving present or loan amortizations using a formula?
Answer:
determine the periods in the problem, which is the number of periods per year
Step-by-step explanation:
Answer:
determine the periods, which is the number of periods per year
Step-by-step explanation:
n/a
What values of b satisfy 3(2b + 3)^2 = 36?
Answer:
3(2b+3)^2=36
(2b+3)^2=12
2b+3=+2 radical3
2b+3= 2 radical 3
b=- radical 3 -3 over 2
b= radical 3- 3 over 2
b=- radical 3 - 3 over 2
Answer:
The answer is A
Step-by-step explanation:
evaluate c÷d÷[-1/6] if c=103
Answer:
-618/d
Step-by-step explanation:
103 divided by d is 103/d and that divided by -1/6 is -618/d
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes does it take to fill the prism?
Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
He right answer is 128
equation that represents each mixed number as a sum of a whole numbers and unit fractions 3 and 1/4 5 and 1/2 to 1 2/3 and 4 3/8 solve
Answer:
1) [tex]\frac{13}{4}[/tex]
2) [tex]\frac{11}{2}[/tex]
3) [tex]\frac{5}{3}[/tex]
4) [tex]\frac{35}{8}[/tex]
Step-by-step explanation:
we know that
A mixed number is the sum of a whole number and a fraction number
case 1) we have
[tex]3\frac{1}{4}[/tex]
so
[tex]3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}[/tex]
case 2) we have
[tex]5\frac{1}{2}[/tex]
so
[tex]5\frac{1}{2}=5+\frac{1}{2}=\frac{5*2+1}{2}=\frac{11}{2}[/tex]
case 3) we have
[tex]1\frac{2}{3}[/tex]
so
[tex]1\frac{2}{3}=1+\frac{2}{3}=\frac{1*3+2}{3}=\frac{5}{3}[/tex]
case 4) we have
[tex]4\frac{3}{8}[/tex]
so
[tex]4\frac{3}{8}=4+\frac{3}{8}=\frac{4*8+3}{8}=\frac{35}{8}[/tex]
Give the first four terms of the geometric sequence for which a1 = -7 and r= -4
Answer:
- 7, 28, - 112, 448
Step-by-step explanation:
To obtain the next term in a geometric sequence multiply the previous term by r
Given
a₁ = - 7 and r = - 4, then
a₂ = - 7 × - 4 = 28
a₃ = 28 × - 4 = - 112
a₄ = - 112 × - 4 = 448
The first four terms are - 7, 28, - 112, 448
Using elimination, find the ordered pair.
6x + 15y = 15
-6x +7y = -37
Answer:
x = -1 and y = 7/5Step-by-step explanation:
[tex]\underline{+\left\{\begin{array}{ccc}6x+15y=15\\-6x+7y=-37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad22x=-22\qquad\text{divide both sides by 22}\\.\qquad\qquad x=-1\\\\\text{Put the value of x to the first equation:}\\6(-1)+15y=15\\-6+15y=15\qquad\text{add 6 to both sides}\\15y=21\qquad\text{divide both sides by 15}\\y=\dfrac{21}{15}\to y=\dfrac{7}{5}[/tex]
Plz help me with this
Answer options: No or yes
No and the graph has a greater minimum.
Answer: YES, Graph
Step-by-step explanation:
Graph: minima (lowest point) is (4, -4)
Equation f(x) = x² - 8x + 7
[tex]x=\dfrac{-b}{2a}=\dfrac{-(-8)}{2(1)}=\dfrac{8}{2}=4\\\\y=(4)^2-8(4)+7\\.\ =16-32+7\\.\ =-9\\[/tex]
minimima is (4, -9)
The x-values are the same
The y-value of the Graph is greater (higher)
Divide 15x15 by 3x3.
Answer:
25
Step-by-step explanation:
15 * 15 = 225
3 * 3 = 9
225 / 9 = 25
Answer:
the answer is 25
Step-by-step explanation:
So you multiple 15x15 which equals 225 then you multiply 3x3 which is 9
the you take 225 and divide it by 9 wich would then be 25................hope i helped
(5,6), (9,1) slope intercept form
Answer:
y = (-5/4)x + 12.25
Step-by-step explanation:
Slope intercept form:
y = mx + b
Slope form:
m = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (9 , 1)
(x₂ , y₂) = (5 , 6)
Plug in the corresponding numbers to the corresponding variables.
m = (6 - 1)/(5 - 9)
Simplify.
m = (5)/(-4)
Your slope is -5/4
Plug in -5/4 for m in the slope-intercept form equation, and use a point to solve for b. For example, we will use (9, 1):
y = mx + b
y = (-5/4)x + b
(1) = (-5/4)(9) + b
Simplify.
1 = (-11.25) + b
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 11.25 to both sides.
1 + (11.25) = -11.25 (+11.25) + b
1 + 11.25 = b
b = 12.25
your y-intercept is 12.25
Plug in the corresponding numbers to the corresponding variables.
y = mx + b
m = -5/4
b = 12.25
y = (-5/4)x + 12.25 is your answer.
~
The equation X squared plus Y squared minus 2X plus 7Y +1 equals zero can be written as which of the following equations
For this case we must write in algebraic symbology the expression described above:
We have an equation, then:
x squared plus y squared: [tex]x ^ 2 + y ^ 2[/tex]minus 2x plus 7y plus 1: [tex]-2x + 7y + 1[/tex]equals zero: [tex]= 0[/tex]We construct the equation:
[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]
Answer:
[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]
What is the area of this tile?
12 in. ²
a = bh
a = 2 x 6
a = 12 in. ²
Answer:
12 in. ^2
Step-by-step explanation:
The area of a rectangle can be found by using the formula legnth x width.
Here the legnth is 2 in. and the width is 6 in.
6 x 2 = 12
Whenever you find the area, unit of measurement is ^2, thus resulting in the answer 12 in. ^2
I hope this helps!
25 Points Attachment Below Thanks
Area of a circle = PI x r^2
r is 1/2 the diameter = 0.5 inches
Area = 3.14 x 0.5^2
Area = 0.79 in^2
It looks like it’s missing something...is it a part A ?
How many vertices does a square pyramid have
Answer:
5 vertices
Step-by-step explanation:
4 on the bottom and 1 on the top
Answer:
5
Step-by-step explanation:
A potential buyer of the breed of snake known as a rattlesnake wishes to find the average weight and length of a full-grown reptile. Which of the following is an effective method of collecting a sample of the population?
A.) Measuring the weight and length of 200 rattlesnakes from across the United States
B.) Measuring the weight and length of all rattlesnakes in the United States
C.) Sending a questionnaire to breeders at the nationally recognized Snake Breeders Association of America and asking them for their expert opinion regarding the average weight and length of these snakes
D.) Measuring the weight and length of 10 rattlesnakes found at the local zoo
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Obviously it's impossible for anyone to measure the weight and length of all US rattlesnakes.
Thus, A is correct. 200 is not a large sample compared to millions or billions of rattlesnakes, but is still a lot more reasonable and workable than attempting to measure ALL US rattlesnakes.
What is the cos of 2
Answer:
-0.41614683654
Step-by-step explanation:
Answer: The answer is -0.41614683654. hope I helped. :)
3w - 4z = 8 what is w
Final answer:
To find w from the equation 3w - 4z = 8, add 4z to both sides, and then divide by 3 to isolate w, giving w = (4z + 8) / 3.
Explanation:
The equation 3w - 4z = 8 is a linear equation in two variables (w and z). To find w in terms of z, you need to isolate w on one side of the equation. Here is the process step by step:
Add 4z to both sides of the equation: 3w - 4z + 4z = 8 + 4z.
Simplify the equation: 3w = 4z + 8.
Divide every term by 3 to solve for w: w = (4z + 8) / 3.
So, w is equal to (4z + 8) / 3 when isolated from the given equation.
If n is the number which equation could be used to solve for the number
Answer:
I think the answer is B which is the one you have selected.
Answer:
I think the answer is B.
Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0, 15) and B is at (20, 0).
What is segment ab? is there a picture that is supposed to go with it?
Answer: The required co-ordinates of point M are (8, 9).
Step-by-step explanation: Given that the point M divides segment AB into a ratio of 2 : 3, where A is at (0, 15) and B is at (20, 0).
We are to find the co-ordinates of point M.
We know that
the co-ordinates of a point that divides the line segment joining the points (a, b) and (c, d) are given by
[tex]\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).[/tex]
For the given division, (a, b) = (0, 15), (c, d) = (20, 0) and m : n = 2 : 3.
Therefore, the co-ordinates of point M are given by
[tex]\left(\dfrac{2\times20+3\times0}{2+3},\dfrac{2\times0+3\times15}{2+3}\right)\\\\\\=\left(\dfrac{40}{5},\dfrac{45}{5}\right)\\\\\\=\left(8,9).[/tex]
Thus, the required co-ordinates of point M are (8, 9).
Shelby’s recipe says to add 3/4 cup of brown sugar and 1/8 cup of white sugar how much sugar recipe call for altogether
Answer:you need common denominatord 4*2=8 3*2=6 6/8+1/8=7/8 of sugar
Step-by-step explanation:
which is not a proportion???
The answer is C. C is not a proportion.
Hope this helps!
Answer:
C
Step-by-step explanation:
By definition a proportion should be equal to each other and can be multiplied by the same number on the numerator and the denominator to make the second fraction.
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
[tex]\frac{x_1}{y_1}*\frac{z}{z}=\frac{x_2}{y_2}[/tex]
A
[tex]\frac{3}{7}*\frac{3}{3}=\frac{9}{21}[/tex]
So it is a proportion.
B
[tex]\frac{24}{56}/\frac{8}{8}=\frac{3}{7}[/tex]
So it is a proportion.
C
[tex]\frac{3}{7}*\frac{3}{4}=\frac{9}{28}[/tex]
So it is not a proportion.
D
[tex]\frac{3}{7}*\frac{4}{4}=\frac{12}{28}[/tex]
Tina is attempting to factor the expression 10x^2-13-3. In her first step, she rewrites the expression as 10x^2-10x-3x-3. Which of the following statements in true about Tina's work?
ANSWER
B. The two middle coefficients add to the correct number but do not multiply to the correct number.
EXPLANATION
The given quadratic trinomial that Tina tries to factor is
[tex]10 {x}^{2} - 13x - 3[/tex]
Comparing to
[tex]a{x}^{2} + bx + c[/tex]
we have a=10, b=-13 and c=-3
ac=-3×10=-30
We split the middle term so that their sum is -13.
Tina use
-10,-3
to get
-10x-3x
The sum is -13x alright but the product is not -30.
B is correct.
On Saturday,April 5th, Sena the baby giraffe was born at the Fresno Chaffee Zoo. At birth, she weighed 125 pounds. If she gained 96 ounces one week after her birth, how many pounds would she weigh all together at the end of her first week?
131 because u divide 96 and 16 and get 6 then add that to 125
The slope of the line passing through the points (-2, 6) and (4, 6) is
A) 0
B) no slope
C) 2
Your answer ish c. 2
A slope is also known as the gradient of a line. The correct option is B.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the line that is passing through (-2, 6) and (4, 6) can be calculated as,
Slope = (6-6)/(-2-4) = 0/(-6)
Hence, there exists no slope between the two of the given points.
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Jerry drove 10 miles in half the time it took Marcy to drive 10 miles. If jerry average speed was r miles per hour what was Marcy average speed in miles per hour
Answer:
0.5r
Step-by-step explanation:
If Jerry took half the time Macy did then that means Macy took twice as long as Jerry. If Jerry’s speed was r then Macy’s speed is 0.5r or half the speed of Jerry. This will mean Macy goes half as slow and takes twice as long to get there.
The average speed of Marcy in miles per hour is 0.5r.
If Jerry took half the time Marcy did then that means Marcy took twice as long as Jerry. If Jerry’s speed was r then Macy’s speed is 0.5r or half the speed of Jerry. This will mean Marcy goes half as slow and takes twice as long to get there.
Hence, The average speed of Marcy in miles per hour is 0.5r.
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Carlos found that the length of the diagonal of his laptop monitor is squared root of 290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245
Answer:
[tex]17\ in[/tex]
Step-by-step explanation:
Let
D -----> the diagonal of the laptop monitor
we have
[tex]D=\sqrt{290}\ in[/tex]
Using a calculator
[tex]D=\sqrt{290}=17.03\ in[/tex]
Round to the nearest whole number
[tex]17.03\ in=17\ in[/tex]
Answer:
17
Step-by-step explanation:
i jus did this on edg