Answer:
7/100
Step-by-step explanation:
7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 25 ribbons
P( yellow) = yellow / total = 7/25
Then not replaced
6 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 24 ribbons
P( blue) = blue / total = 6/24 = 1/4
P(a yellow ribbon and then a blue ribbon) = 7/25 * 1/4 =7/100
Answer:
A: [tex]\frac{7}{100}[/tex]
Step-by-step explanation:
There are 25 ribbons total. The probability would be out of the 25 ribbons.
(1):
Yellow: [tex]\frac{7}{25}[/tex]
Blue:[tex]\frac{6}{25}[/tex]
Red:[tex]\frac{9}{25\\}[/tex]
Green:[tex]\frac{3}{25}[/tex]
When removing a ribbon that can't be replace, it'll leave you with a total of 24 ribbons.
(2):
Yellow: [tex]\frac{6}{24}=\frac{1}{4}[/tex]
Blue: [tex]\frac{5}{24}[/tex]
Red:[tex]\frac{8}{24}=\frac{1}{3}[/tex]
Green:[tex]\frac{2}{24}=\frac{1}{12}[/tex]
Multiply {(1) × (2)}:
Yellow:[tex]\frac{7}{25}[/tex] ×[tex]\frac{6}{24}[/tex] = [tex]\frac{7}{100}[/tex]
Blue:[tex]\frac{6}{25}[/tex] × [tex]\frac{5}{24}[/tex] = [tex]\frac{1}{20}[/tex]
Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4
Solve the right triangle, AABC, for the missing side and angles to the nearest
tenth given sides a = 14.9 and b = 17.5.
Answer:
The missing side is 22.98, or rounded to the nearest tenth, 23
The angles are 90, 40.37, and 49.63
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem;
[tex]a^2 + b^2 = c^2[/tex]
Since a = 14.9 and b= 17.5, we need to find the missing side, or c
[tex]14.9^2 + 17.5 ^2 = c^2[/tex]
Using a calculator this gives us;
528.26 = [tex]c^2[/tex]
Now to undo [tex]c^2[/tex], we have to square root both sides
[tex]\sqrt{528.26} = \sqrt{c^2}[/tex]
22.98 = c
Now to round to the nearest tenth, we know that .9 is greater than 5, so we can round 22.98 to 23
Now to find the angles.
We know that the triangle has a hypotenuse of 23, a short side of 14.9 and a long side of 17.5.
I labeled the side opposite of 14.9, x, and I will use sin to solve for the angle.
We know that sin= opposite/hypotenuse
So, sin(x)=14.9/23
Since we want to find the angle we must use the inverse of the trig function.
[tex]sin^-^1[/tex](14.9/23) = x
By using a calculator we get
x=40.37
Now since we know that this is a right triangle, we have a 90 degree angle.
So, we can subtract from 180 to find the third angle.
180-90-40.37=49.63
The angles of the triangle are 90, 40.37 and 49.63.
Hope this helped let me know if this can be explained further or if anything is wrong! : )
Hola ayudenme porfa se trata de progresiones aritmeticas 1Un niño compra figuras para su album; el primer dia 1 figura ; segundo dia,3 figuras;el tercer dia, 5 figuras y asi sucesivamente. Si en total compro 225 figuras ¿Cuantos dias compro figuras?
Answer: 16 days.
Step-by-step explanation:
I will answer this in English.
An aritmetic series works in the next way.
if the first therm is A.
Then the second therm is A + r
the third therm is A + r + r
and so on.
Where A is the initial value and r is a constant.
Here the first term is A = 1
The second term is 3, we can find the value of r as:
3 - 1 = r = 2
Then our series is:
Kₙ₊₁ = Kₙ + 2
where K₁ = 1
We know that in total he bought 225 figures, then we have the sumation:
∑Kₙ
and we want to find the value of n.
the sum of the first n terms is:
Sn = (n/2)*(K₁ + Kₙ)
where Kₙ = 1 + n*2 and K₁ = 1
so we must solve:
225 = (n/2)*(1 + 1 + n*2) = n + n^2
So we must solve the quadratic equation:
n^2 + n - 225 = 0
the solutions are:
[tex]n = \frac{-1 + -\sqrt{1^2 + 4*225} }{2} = \frac{-1 +-30}{2}[/tex]
So we have two solutions:
n = 29/3 = 14-.5
n = -31/2 = -15.5
We must select the positive solution, because n can be only positive, and we should round it to the next whole number, that is 16.
So he bought figures for 16 days.
An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works to repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?
Answer:
Around 11:15 am
Step-by-step explanation:
Let h represents the number of hours the plumber works
Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:
→ bill = 65 + 75h
Since the bill is $195.25
→ 195.25 = 65 + 75h
→ 75h = 130.25
→ h = 1.74
1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
someone pls help this is due today
Answer: 0.44mm
Step-by-step explanation:
In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.
V=πr²h
25120=πr²h
The problem also gives the diameter of the case: 40mm.
To find radius, you divide the diameter in half.
d=2r
40=2r
r=20
With the radius, we can add that to the volume equation.
25120=[tex]\pi[/tex](20)^2h
25120=400πh
All we have left is to find the height.
h=25120/(400π)
h≈20mm
Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.
20mm/50 chips=0.4mm/chip.
Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, an, at the end of the nth day?
Answer:
what is the nth day?
Step-by-step explanation:
Answer:
A
Step-by-step explanation: an=1.25(an-1-16);a1=64
:)
Question 4(Multiple Choice Worth 1 points) (03.05 MC) What does > −2 indicate about the position of and −2 on the number line? is located on the right of −2 is located on the left of −2 is located on the right of 0 and −2 is located on the left of 0 is located on the left of 0 and −2 is located on the right of 0
Corrected Question
What does [tex]-\dfrac35>-2[/tex] indicate about the position of [tex]-\dfrac35[/tex] and −2 on the number line?
Options
negative 3 over 5 is located on the right of −2
negative 3 over 5 is located on the left of −2
negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0
negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0
Answer:
(A)negative 3 over 5 is located on the right of −2
Step-by-step explanation:
Given the inequality: [tex]-\dfrac35>-2[/tex]
On a number line, numbers are written from the left to the right in ascending order.
Therefore:
Any number y to the right of another number x is greater than x, y>x.Any number a to the left of another number x is less than b, a<b.Negative numbers are to the left of 0.In the given inequality [tex]-\dfrac35>-2[/tex] , both numbers are negative and are therefore to the left of 0.
However, since [tex]-\dfrac35[/tex] is greater than -2, it is located to the right of -2 .
The correct option is A.
Answer:
Step-by-step explana
Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount = 17 , 763 =17,763equals, 17, comma, 763 rupees Period = =equals years
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
Ellen mixed \dfrac1{4}\text{ kg} 4 1 kgstart fraction, 1, divided by, 4, end fraction, start text, space, k, g, end text of flour with \dfrac{2}{9}\text{ kg} 9 2 kgstart fraction, 2, divided by, 9, end fraction, start text, space, k, g, end text of sugar.
Question:
Ellen mixed ¼ kg of flour with ²/9 kg of sugar.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, question that are likely to be asked are.
- What's the weight of the total mixture in grams
- What percentage of the mixture is sugar
To solve (1);
We simply add both weights together
But first, the units must be converted to grams.
1kg = 1000 grams
So,
¼kg = ¼ * 1000 g
¼kg = 250 g
²/9kg = ²/9 * 1000
²/9kg = 2000/9
²/9kg = 222.2 g
Add these results
Total = 250g + 222.2g
Total = 472 g
The result can be written in different ways
1. 472 grams
2. About 500 grams
If converted back to kg
472 grams = 472/1000 kg
472 grams = 0.472 kg.
So, the result can also be written as
3. 0.472 kg
4. About 0.5kg (½kg)
To solve (2)
What percentage of the mixture is sugar
To do this, we simply divide the size of sugar by the total size of the mixture.
From (1) above
Sugar = 250g
Total = 472g
Percentage of sugar = 250/472
Percentage of sugar = 0.5297
Percentage of sugar = 0.5297 * 100%
Percentage of sugar = 52.97%
Answer:
1/2
Step-by-step explanation:
I did it and it was write right hope it helps
Find the equation of the line shown.
HELP PLEASEEE
Answer:
y = x+6
Step-by-step explanation:
The y intercept is 6 ( where it crosses the y axis)
We need to find the slope
For each y unit it goes up, it goes to the right 1 x unit
m = 1/1 = 1
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = 1x+6
y = x+6
Study the following frequency distribution table.
xi 15 17 20 30 10 + f
fi 4 4 6 5 6
If the mean of the data is 18.8, then the value of f is
(A) 4 (B) 3 (C) 2 (D) 1
PLS ANSWER THIS AS QUICKLY AS POSSIBLE
Answer:
Option C is correct.
f = 2
Step-by-step explanation:
The mean is the sum of variables divided by the number of variables
Mean = (Σfx)/(Σf)
xi | 15 | 17 | 20 | 30 | 10 + f
fi | 4 | 4 | 6 | 5 | 6
Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)
Σf = 4 + 4 + 6 + 5 + 6 = 25
Mean = 18.8
18.8 = (458+6f) ÷ 25
458 + 6f = 25 × 18.8 = 470
6f = 470 - 458 = 12
f = (12/6) = 2
Hope this Helps!!!
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 1
6. θ = 75°
7. θ = 720°
Answer:
6. -285°, 435°
7. -360°, 360°
Step-by-step explanation:
6. θ = 75°
75-360 = -285°
75+360 = 435°
7. θ = 720°
720 - 1080 = -360°
720 - 360 = 360°
Answer:
answer is positive
Step-by-step explanation:
I need help finding the slope and y-Intercept
Answer:
You Do y= mx+b
Step-by-step explanation:
Answer:
y-intercept is 2 because line passes through (0,2) and the slope is 3.
The equation of this line is y=3x+2.
BO and OC are the bisector of angle B and angle C of the triangle ABC. Find BOC if BAC = 70 degrees.
For reference please look at the photo above.
Answer:
BOC= 110 degrees
Step-by-step explanation:
you can refer the above explanation
In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
A bird flies from the bottom of a canyon that is 77 1/10 and one tenth feet below sea level to a nest that is 738 3/5 and three fifths feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
Answer:
[tex]805\frac{8}{10}[/tex]
Step-by-step explanation:
[tex]805\frac{8}{10}[/tex]
The bottom of the conyon to ses level plus sea level to the bird nest.
First you add 82+723
And than you need to find the common denominator in this case [tex]10\frac{1}{2} =\frac{5}{10}[/tex]
[tex]\frac{5}{10} +\frac{3}{10}[/tex]
What is the solution for -3x -24 < -36?
Answer:
x > 4
Step-by-step explanation:
-3x -24 < -36
Add 24 to each side
-3x -24+24 < -36+24
-3x< -12
Divide each side by -3, remembering to flip the inequality
-3x/-3 >-12/-3
x > 4
Answer:
x > 4
Step-by-step explanation:
Given equation,
→ -3x - 24 < -36
Now the value of x will be,
→ -3x - 24 < -36
→ -3x < -36 + 24
→ -3x < -12
→ x > -12/-3
→ x > 12/3
→ [ x > 4 ]
Hence, the answer is x > 4.
Hi so i am writing a movie but i need ideas
Complete the equation and solve the problem. Let n be the number of students in each row. There are 37 students in the marching band. There are 5 students in the first row, and the rest are in 4 equal rows. How many students are in each of the 4 rows?
Answer:
37 - 5 = 32
32/4 = 8
8 students are in each of the 4 rows
Answer: there are 8 students in each of the 4 equal rows
Step-by-step explanation:
x = # of students in each of the 4 rows
4x + 5 = 37
4x = 32
x = 8
There are 8 students in each of the 4 rows.
You can check this:
4 rows of 8 students —> 4(8) = 32 students
+ 5 students in the first row
= 37 students total
Help I am soo confusedd!!
Answer:
[tex]x^2+x[/tex]
Step-by-step explanation:
What this question is asking us to do is to find the area of the square and the rectangle individually and then add them together to find the total area of the whole rectangle.
Firstly, let us find the area of each of the rectangles.
Let us start with the light-blue square. It has side lengths x and x
This means that the area of this square is [tex]x*x=x^2[/tex]
Now the dark blue rectangle. It has sides with lengths x and 1.
This means that the area of this rectangle is [tex]x*1=x[/tex]
Now that we have the area of each of the rectangles, we can add them together to get the area of the whole rectangle
[tex]x^2+x[/tex]
A triangle has the angle measurements of 62 degrees and 91 degrees. What is the measurement of the third angle?
a
b
29 degrees
153 degrees
27 degrees
180 degrees
С
d
Answer:
27
Step-by-step explanation:
180 is always the total of the triangle measurements. Therefore,
180-(91+62)=27
Answer:
27°
Step-by-step explanation:
A triangle is 180 degrees
So you begin with what you know 91 degrees and 62degrees
So 180-91-62=27degrees
So your answer is 27degrees
May someone please help me
hi buddy i can help you with this
About how many times greater is the volume of the cylinder than the volume of the cone?
Your answer is 3 times larger.
The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.
We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h
I hope this helps!
someone lmk plzzz tyy
Answer:
y-1 = -(x-2)
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (5-1)/(-2 -2)
= 4/-4
= -1
We are using point slope form using the point (2,1)
y-y1 = m(x-x-1)
y-1 = -1(x-2)
y-1 = -(x-2)
Find the volume of the juice box.
Answer:
105.3 inches^3
Step-by-step explanation:
you have to multiply 6.5*4.5*4*.9 to get 105.3
What is the value of the angle marked with x?
Answer:
87
Step-by-step explanation:
Answer:
x=91
Step-by-step explanation:
All angles of a quadrilateral can add up to 360.
360-87=273
273/3=91
x=91
I am not to sure, but I think this is the answer.
Carlos keeps track of his math scores of tests. His scores on his math tests are
the following: 100, 88, 50, 50, 90, 70, 80 What is the:
Median?
Mode?
Mean?
Range?
Answer:
Median: 75
Mode: 50
Mean: ≈ 75.4
Range: 50
Step-by-step explanation:
Median:Arrange the numbers in order:
50, 50, 70, 80, 88, 90, 100
There is no exact middle number.
[tex]70 + 80 = 150\\150/2 = 75[/tex]
The median is about 75.
Mode:50, 50, 70, 80, 88, 90, 100
"50" appears the most.
The mode is 50.
Mean:Add all numbers in the set.
[tex]100+88+50+50+90+70+80 = 528[/tex]
Divide by the number of values in the set.
[tex]528/7 = 75.4285714286[/tex]
75.4285714286 ≈ 75.4
The mean is about 75.4.
Range:Subtract the smallest number in the data set from the largest number in the data set.
[tex]100-50=50[/tex]
The range is 50.
Brainilest appreciated.
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is )
Answer:
Jo Margin of error is 20
Step-by-step explanation:
The expression for calculating Margin of error is = [tex]Z_{critical } *\dfrac{{Sd} }{\sqrt{n} }[/tex]
From the given question:
[tex]Z_{critical} = 1.96[/tex]
standard deviation sd = 50
sample size = 25
THUS; the Margin of error is :
[tex]1.96*\dfrac{{50} }{\sqrt{25} }[/tex]
[tex]1.96*\dfrac{{50} }{5 }[/tex]
[tex]1.96*10}[/tex]
[tex]19.6[/tex]
≅ 20 (to the nearest whole number)
Hence; Jo Margin of error is 20
What is 1/8% of 1000
Answer:
12500
Step-by-step explanation:
1/8%x1000=12500
Answer:
125
Step-by-step explanation:
1000÷8=125
