Answer:
0.2601
Step-by-step explanation:
There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.
There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.
So, the probability of interest is ...
252/969 ≈ 0.2601
_____
nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n
For what value of x must ABCD be a parallelogram?
May drives a total of 44 miles each day to take her children to and from school. The children go to school 5 days a week. May's vehicle gets 17 miles per gallon of gas. About how many gallons of gas does May need to take her children to and from school each week?
Answer:
12.94 gallons/week
Step-by-step explanation:
44x5=220
220/17=12.94
Answer:
13 gallons
Step-by-step explanation:
44 miles x 5 days = 220 miles
220 miles / 17mpg = 12.9
12.9 rounded up is 13
Final Answer is 13 gallons
A company which sells farm equipment must pay a federal tax of 5.5% on every sale. Last month the company’s sales totaled $335,000. How much federal tax is owed?
Answer:
Federal tax amount = $18,425
Step-by-step explanation:
Given:
Total sales amount = $335,000
Federal tax rate = 5.5%
Find:
Federal tax amount = ?
Computation:
⇒ Federal tax amount = Total sales amount × Federal tax rate
⇒ Federal tax amount = $335,000 × 5.5%
⇒ Federal tax amount = $335,000 × 0.055
⇒ Federal tax amount = $18,425
Therefore, total amount of federal tax owed is $18,425
Find (fg)(x) using long division for f(x)=2x3−12x2+7x−27 g(x)=2x2+5 The quotient is The remainder is
Answer:
f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)
Quotient = x - 6
Remainder = (2x+3)/(2x^2+5)
Step-by-step explanation:
Getting x-6:
What number multiplies with 2x²+5 to get 2x³+...?
that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.
Now what number multiplies with 2x²+5 to get -12x²+ ...?
that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....
Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.
Amanda has at most $40 to spend on flowers. She wants to buy a pair of red rose flowers for $18 dollars and spend the rest on lily flower. Each lily flower costs $11. Write an inequality for the number of lily flowers she can purchase
Answer:
x ≤ 2
Step-by-step explanation:
2 red rose cost $ 18
x flowers cost $ 11x
"At most " means ≤.
11x + 18 ≤ 40
11x ≤ 40 - 18
11x ≤ 22
x ≤ 2
Using inequality we know that Amanda can purchase 2 lily flowers.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity.So, the inequality can be:
Monet Amanda can spend is $40.She purchased a pair of roses worth $18.Rest we want to wants to buy lily, which costs $11 each.Now, the inequality will be:
Let, the number of lilies is x and Amanda purchases 2 lilies:
18 + 2x ≤ 4018 + 2(11) ≤ 4018 + 22 ≤ 4040 = 40Therefore, using inequality we know that Amanda can purchase 2 lily flowers.
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which of the following descriptions represent the transformation shown in the image? Part 3b
Answer: d) none of the above
Step-by-step explanation:
Start at Black Triangle: B = (0, -4) C = (4, -1) D = (2, -5)
End up at Red Triangle: B = (2, 0) C = (-2, 3) D = (0, -1)
Rotation of 180°: (x, y) → (-x, -y)
Reflection across y-axis: (x, y) → ( -x, y)
Reflection across x-axis: (x, y) → (x, -y)
Reflection across x=1: (x, y) → (2 - x, y)
[tex]a) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across y-axis}\\B:\ (0, -4)&(0, 4)&(0,4)\\C: (4, -1)&(-4,1)&(4,1)\\D: (2, -5)&(-2,5)&(2,5)\end{array}[/tex]
[tex]b) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x = 1}\\B:\ (0, -4)&(0, 4)&(2,4)\\C: (4, -1)&(-4,1)&(6,1)\\D: (2, -5)&(-2,5)&(4,5)\end{array}[/tex]
[tex]c) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x-axis}\\B:\ (0, -4)&(0, 4)&(0,-4)\\C: (4, -1)&(-4,1)&(-4,-1)\\D: (2, -5)&(-2,5)&(-2,-5)\end{array}[/tex]
None of the given options transform the black triangle onto the red triangle.
I cant do simple math please help :)
Answer:
2) y= -2/3x +4
Step-by-step explanation:
2x+3y=12 convert to y=mx+b form
move over the 2x to isolate y
3y= -2x+12
divide by 3 in order to completely isolate y
y= -2/3x +4
There are 48 cans of soup on a crate. A supermarket has a delivery of 110 crates for £1980 and sells a can for 41p. How much profit does the supermarket make on the delivery?
Answer:
I would love to help but i dont know pounds so i will try to help in dollars then convert into pounds
lol :) just wait
Step-by-step explanation:
25 points:)
question 2-3
Answer:
2) r=73
Step-by-step explanation:
all 4 sided shapes add up to 360.
so 90+90=180
180+107=287
360-287=73
so r=73
What is the probability of getting tails 4 times in a row while flipping a coin?
Answer:
[tex]P=0.0625[/tex]
Step-by-step explanation:
The probability of getting one tails is a half.
The probability of getting another tails given you had a tails is:
[tex]\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}[/tex]
The probability of getting n tails in general is given by:
[tex](\frac{1}{2})^n = \frac{1}{2^n}[/tex]
So, when we have four tails - our value for n is four.
[tex](\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625[/tex]
Which of the following are solutions to the inequality below? Select all that apply.
7j > 30
j = 2
j = 8
j = 1
j = 11
Find the equation of the exponential function represented by the table below:
X
0
1
2
3
Y
4
16
64
256
Y= ?
Answer:
y = [tex]4^{x+1[/tex]
Can someone please help me
Answer:jss needed point srry
Step-by-step explanation:
What’s the answer to this?
Answer:
125.5 cm²
Step-by-step explanation:
At = A(rectangle) + A(trapeze)
= A = L×W + (b + B)×h/2
= 6.1cm×5cm + (6.1cm + 12.9cm)×10cm/2
= 30.5 cm² + 19cm×5cm
= 30.5 cm² + 95 cm²
= 125.5 cm²
al3xis
Mrs Baker is preparing her students for their exams. The exams are two weeks away. Mrs Baker advises her students to spend 25% of each day revising.
A) How many hours does Mrs Baker expect her students to revise each day?
B)) How many hours in total will the students have revised if they follow Mrs Bakers advise for the next two weeks?
Answer:
A. 4 hours
Step-by-step explanation:
100 divided by 25
Geometry
Find a:
Fill in the blank
Answer:
a=15
Step-by-step explanation:
[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]
Hope it helps
PLEASE HELP
Write an equation to model the data.
x y
−1 2.5
0 5
1 10
2 20
3 40
Answer:
y = 5(2)ˣ
Step-by-step explanation:
numbers are doubled for y as x is changing by 1
it indicates exponential growth with y intercept 5 and rate 2: y = 5(2)ˣ
Q 1. The area of a certain rectangle is 1 m².What is the area of a triangle that was cut off from that rectangle along a line connecting the midpoints of two adjacent sides?
Answer:
0.125 m²
Step-by-step explanation:
The area of a rectangle is the product of its length and breadth. Therefore:
area of the rectangle = length (l) × breadth (b) = 1 m².
l × b = 1
A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.
Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]
since lb = 1:
Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]
On a particular day in July, there is a 20% probability of rain in Vancouver, a 65% probability of rain in Calgary, and a 75% probability of rain in Saskatoon. What is the probability that it will rain in all 3 cities on that day?
Answer:
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 0.93 = 93%
Step-by-step explanation:
Let 'V' be the event of rain in Vancouver
Given that the probability of rain in Vancouver
P( V) = 20% = 0.20
P( V⁻) = 1- P( V) = 1 - 0.20 =0.80
Let 'C' be the event of rain in Calgary
Given that the probability of rain in Calgary
P( C) = 65% = 0.65
P( C⁻) = 1- P( C) = 1 - 0.65 =0.35
Let 'S' be the event of rain in Saskatoon
Given that the probability of rain in Saskatoon
P( S) = 75% = 0.75
P( S⁻) = 1- P( S) = 1 - 0.75 =0.25
First we will prove that the probability that it will not rain in all 3 cities on that day
P( V⁻ ∩ C⁻ ∩ S⁻ ) = P( V⁻) P( C⁻) P(S⁻)
= 0.80 × 0.35 × 0.25
= 0.07
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 1-(P( V⁻ ∩ C⁻ ∩ S⁻ )
= 1 - 0.07
= 0.93
Kristen invests $5,000 in a bank. The bank pays 6.45% interest compounded semi-annually. How much money will she have after 2 years, if she makes no additional contributions or withdrawals to the account?
a:5665.80
b:5327.70
c:4375.80
d:5676.88
Answer:
D. $5,676.88
Step-by-step explanation:
A=P(1+r/n)^n*t
Where
P=principal=$5000
r=interest rate=6.45%=0.0645
n=periods=2(semiannually)
t=time=2 years
A=P(1+r/n)^n*t
=5,000(1+0.0645/2)^2*2
=5,000(1+0.03225)^4
=5000(1.03225)^4
=5000(1.13553756247925)
=5,676.8781
Approximately
$5,676.88
There are 13 students in a kindergarten class, if each kindergartner can have only one tank, in how many ways can the teacher out
the following tasks: line leader, wipe down the tables, pass out papers?
Plsss help takin a test
Answer:
I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together
13 * 13 * 13 = 2,197
part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each
10. tan(30) = l / 6√3
l = tan(30) x 6√3
l = 6
cos(30) = 6√3 / y
y = 6√3/cos(30)
y = 12
11. tan(30) = c/30
c = 30 x tan(30)
c = 10√3
cos(30) = 27/w
w = 27/cos(30)
w = 18√3
12.
sin(60) = 36/y
y = 36/sin(60)
y = 24√3
tan(60) = 36/x
x = 36/tan(60)
x = 12√3
Answer:
10. (l, y) = (6, 12)
11. (c, w) = (9√3, 18√3)
12. (x, y) = (12√3, 24√3)
Step-by-step explanation:
Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...
1 : √3 : 2
__
10. l : 6√3 : y = 1 : √3 : 2
multiply by 6
= 6 : 6√3 : 12
l = 6, y = 12
__
11. c : 27 : w = 1 : √3 : 2
multiply by 27/√3 = 9√3
= 9√3 : 27 : 18√3
c = 9√3, w = 18√3
__
12. x : 36 : y = 1 : √3 : 2
multiply by 36/√3 = 12√3
= 12√3 : 36 : 24√3
x = 12√3, y = 24√3
__
This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.
Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.
Answer:
x + 6
Step-by-step explanation:
(f ÷ g)(x)
= [tex]\frac{x^2+9x+18}{x+3}[/tex] factorise the numerator
= [tex]\frac{(x+3)(x+6)}{x+3}[/tex] ← cancel the factor (x + 3) on numerator/ denominator
= x + 6
Can someone help me with this question ? 10points.
The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the day
Answer:
+15 degrees
Step-by-step explanation:
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
Constructing a Circle through Three Points Not on a Line
Construct a circle through points
X, Y, and z.
Answer:
the circle has one point even if it is a concentric circle it will have one central point or it needs more collections of the circle at equidistance
Answer:
The circle would look like the image attached
Step-by-step explanation:
Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).
Answer:
[tex]y = \frac{4}{3} x[/tex]
Step-by-step explanation:
Perpendicular = m1*m2 = -1
[tex]-\frac{3}{4}*\frac{4}{3} = -1[/tex]
[tex]y = \frac{4}{3} x +b[/tex]
[tex]12 = \frac{4}{3}(9)+b\\12 = 12 + b\\b = 0\\y = \frac{4}{3} x+0\\y = \frac{4}{3} x[/tex]
The equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].
Given that, the equation of a line [tex]y=\frac{-3}{4}x+1[/tex] and the coordinate point (9, 12).
What is the slope of perpendicular lines?Slope of a perpendicular line can be computed from the slope of a given line. The product of the slope of a given line and the slope of the perpendicular line is equal to -1. If the slope of a line is m1 and the slope of the perpendicular line is m2, then we have m1.m2 = -1.
From the given equation of a line slope m1=-3/4
The slope perpendicular to equation of line m2 = -1/m1 = 4/3
Now, substitute m=4/3 and (9, 12) in y=mx+c and solve for c.
That is, [tex]12=\frac{4}{3} \times 9 +c[/tex]
⇒ c=0
Put c=0 and m=4/3 in y=mx+c, we get
[tex]y=\frac{4}{3}x[/tex]
Therefore, the equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].
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In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kelly’s distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed?
Answer:
Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.
Step-by-step explanation:
Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in 1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.
Jacob can run 9 miles in 1 hour and
15 minutes. What is his average running speed per minute?
Answer:
0.12 miles per minute
Step-by-step explanation:
9/75 is 0.12. 9 miles in 75 minutes
Average speed of Jacob is 0.12 miles per minute.
What is unitary method ?Unitary method is a method of finding value of a single unit.After finding value of a single unit we can determine values of any given unit.
According to the given question Jacob can run 9 miles in 1 hour and
15 minutes.
We know 1 hour is 60 minutes.
∴ 1 hour and 15 minutes is
= (60 + 15) minutes.
= 75 minutes.
So, Jacob can run 9 miles in 75 minutes.
∴ In one minute Jacob can run 9/75 miles shich is
= 0.12 miles per minute.
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Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling price . To the nearest dollar , what was the selling price for one camera ?
Answer:
$104
Step-by-step explanation:
First, convert 60% to a decimal.
60% = 0.6
Now, multiply the cost to buy the camera ($65) by the decimal.
$65 × 0.6 = $39
Now, add this amount to the amount it cost to buy the camera.
$65 + $39 = $104
The selling price for the camera will be $104.
Answer:
The answer is $104
