An ice chest contains 7 cans of apple juice, 6 cans of grape juice, 6 cans of orange juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of mango juice.
Answer:
4/1771Step-by-step explanation:
Step one:
given
sample space
7 cans of apple juice,
6 cans of grape juice,
6 cans of orange juice, and
4 cans of mango juice
Sample size= (7+6+6+4)
= 23
Step two:
Required
The probability of randomly selecting three cans of mango juice in succession
Note: we are selecting without replacement
let the probability of selecting three cans of mango juice be
the first selection is= 4/23
The second = 3/22
the third= 2/21
[tex]P(x)= 4/23*3/22*2/21[/tex]
[tex]P(x)= \frac{4*3*2}{23*22*21} \\\\P(x)= \frac{4}{23*11*7}\\\\P(x)= \frac{4}{1771}[/tex]
which ordered pair is a solution to the equation y=3x-10 is it (11,7) (5,15) or (-2,-16)
Answer:
(-2,-16)
Step-by-step explanation:
Cause
y=3(-2)-10
y=-16
there for it the solution to the equation
Using the protractor, find the angle measure.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the other corner across the middle of the field.
Answer:
And the question is???
Answer:
Step-by-step explanation:
use the pythagorean therom:
a^2 + b^2 = c^2
substitute in your values
90^2 +120^2=c^2
multiply
8100+14400=c^2
add
22500=c^2
take the square root of both sides
c= 150 meters :)
The value of x In the proportion
1/2:2/3 = 3/4x Is
A.1
B. 1/4
C.17/9
D.4/9
Answer:
A
Step-by-step explanation:
[tex]\frac{1}{2} : \frac{2}{3} =\frac{3}{4} x\\\\\frac{1}{2} * \frac{3}{2} =\frac{3}{4} x\\\\\frac{3}{4}= \frac{3}{4} x\\\\\frac{3}{4}*\frac{4}{3}=x\\\\\frac{12}{12}=x\\\\x=1[/tex]
What is the slope for line m
Answer:
1
Step-by-step explanation:
Question 5(Multiple Choice Worth 4 points) (04.07A) A line passes through (2, 8) and (4, 12). Which equation best represents the line?
y = 1 over 2x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2x + 10
Answer:
y- 2x + 4
Step-by-step explanation:
Answer:
y- 2x + 4
Step-by-step explanation:
You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street directly beneath the baloon. To see the top of the baloon, you look up at an angle of 53°. To see the bottom of the ballon you look up at an an angle of 29°. Estiamte the height, h, of the balloon to the nearest foot. Answer with only the numeric value
Answer:
The height of the balloon is 46 feet.
Step-by-step explanation:
Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;
Looking at the top of the balloon,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 53° = [tex]\frac{x}{60}[/tex]
x = 60 x Tan 53°
= 79.6227
x = 79.62 feet
Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 29° = [tex]\frac{y}{60}[/tex]
y = 60 x Tan 29°
= 33.2585
y = 33.26 feet
The height of the balloon = x - y
= 79.6227 - 33.2585
= 46.3642
The height of the balloon is 46 feet.
Classify this polynomial.
2n
A:Liner
B:quadratic
C:cubic
D:none of these
Answer:
Step-by-step explanation:
this polynomial is to thhe first degree 2[tex]n^{1}[/tex] so is a linear one
What is the answer to −9x−2 when x=−4.
Answer:
-72
Step-by-step explanation:
Answer:
I believe the answer is 34
Step-by-step explanation:
(-9 times -4 = 36)
36-2=34
What is your favorite place to get wings and what type of wings do you like?
A store donated 2 1/4 cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
Answer:
432 crayons
Step-by-step explanation:
convert 2 1/4 to 9/4
1 case=24 boxes=8 crayon in each box
24*8=192 for 1 case
9/4*192=432
The center received 432 crayons
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4
Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.
Step-by-step explanation:
Find the perimeter of LMNO. (Hint: Solve for x and y first.)
6x-7=2x+9
4x=16
x=4
12=y^2+3
9=y^2
3=y -3=y
Okay?
Step-by-step explanation:
6x -7 = 2x +9
4 x = 16
X= 4
y2 +3 =12
y2 = 9
y2 =3
two side is 17 ,12
Perimeter =( 17+12 )x 2 = 58
simplify -13.5a+34.12b+65.5-32.5b-35.8a
Answer:-49.3a-1.62b+65.5
Step-by-step explanation:
Combine Like terms:
-13.5a-35.8a=-49.3a
-34.12b+32.5b=-1.62b
Answer: -49.3a-1.62b+65.5
Answer:
16.2a + 1.62b
Step-by-step explanation:
The perimeter is 36.what dose x have to be
The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of the rectangle? please hurry
Answer:
The answer is 48 divided by 2= 24.
Hope I helped.
???????????????????????
Answer:
I can't see the yellow..... but it should be subtract 10 from both sides!
So the answer is cyan or light blue (2nd one)
Step-by-step explanation:
Hope this helps! Mark as Brainliest!
Which is the equation of the parabola that
opens to the right, has a focus at (3.0), and
has a directrix at x=-3?
Answer:
The equation of the parabola will be:
[tex]\:y^2=12x[/tex]Step-by-step explanation:
The vertex (h, k) is halfway between the directrix and focus.
Find the x coordinate of the vertex using the formula
x = (x-coordinate of focus + directrix)/2
= (3-3)/2
= 0/2
=0
The y -coordinate will be the same as the y-coordinate of the focus.
so the vertex will be: (0, 0)
Finding the distance from the focus to the vertex
The distance from the focus to the vertex and from the vertex to the directrix is |p|.
Subtract the x coordinate of the vertex from the x -coordinate of the focus to find p .
[tex]p=3-0[/tex]
[tex]p=3[/tex]
Substitute in the known values for the variables into the equation
[tex]\left(y-k\right)^2=4p\left(x-h\right)[/tex]
[tex]\left(y-0\right)^2=4\left(3\right)\left(x-0\right)[/tex]
[tex]\:y^2=12x[/tex]
Therefore, the equation of the parabola will be:
[tex]\:y^2=12x[/tex]What is the answer to this problem?
Answer:
x = 4.
Step-by-step explanation:
These are exterior alternate angles which are congruent.
So 21x + 6 = 90
21x = 84
x = 4.
What are all the zeroes of the function (4x^2+9)(4x^2-9)=0
Answer:
x=1.5,-1.5
Step-by-step explanation:
16x^4=81
x^4=5.0625
x=[tex]\sqrt[4\\]{5.0625}[/tex] => x = 1.5,-1.5
Answer:
3/2 and 3/2i
Step-by-step explanation:
Got it correct on edge
I NEED HELP ASAP, WILL MARK BRAINLIEST Find the value of y. Round to the nearest tenths place.
Answer:
Side a = 1
Side b = 0.5
Side c = 0.86603 = √3/2
Nearest tenths is 0.9
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates 2 sides based on 3 given angles and 1 side.
b = a·sin(B)/sin(A) = 0.5
c = a·sin(C)/sin(A) = 0.86603 = √3/2
Area =
ab·sin(C)
2
= 0.21651
Perimeter p = a + b + c = 2.36603
Semiperimeter s =
a + b +c
2
= 1.18301
Height ha =
2×Area
a
= 0.43301
Height hb =
2×Area
b
= 0.86603
Height hc =
2×Area
c
= 0.5
Median ma = √(a/2)2 + c2 - ac·cos(B) = 0.5
Median mb = √(b/2)2 + a2 - ab·cos(C) = 0.90139
Median mc = √(c/2)2 + b2 - bc·cos(A) = 0.66144
Inradius r =
Area
s
= 0.18301
Circumradius R =
a
2sin(A)
= 0.5
0.86 is more than 0.85 so the nearest tenths place has to be 0.9
I will also post questions and you please answer them
A rectangular cartoon is 80 cm x60 cm x40 cm .then, how many packets of shops can each of 10 cm x 5cm x 4 cm be kept inside the cartoon
Answer:
8
Step-by-step explanation:
10 x 5 x 4
Multiply everything by 8
80 x 40 x 32
You can't go over that because 80 is at it's limit.
8
Explicación paso a paso:
10 x 5 x 4
Multiplica todo por 8
80 x 40 x 32
No se puede pasar de eso porque 80 está en su límite.
espero te sirva
what is the answer for 7(x+2) = 6(x+1)
Answer:
x= -8
Step-by-step explanation:
Simple math
Answer: x = -8
7(x + 2) = 6(x + 1)
⇔ 7x + 14 = 6x + 6
⇔ 7x - 6x = 6 - 14
⇔ x = -8
Step-by-step explanation:
5. Lee uses 6 boxes to pack 24 items. Yesterday, he packed 288 items. How many boxes did Lee use yesterday? (HINT-- Comparing two different units-- SET UP Proportion; Cross Multiply and then Divide) *
Answer:
72
Step-by-step explanation:
24/6=4
288/4=72
When parallel lines are cut by a transversal and you have one acute angle and one obtuse angle, those two angles will always add up to
Answer:
180 maybe ...........
Nel salone di un rivenditore di automobili, il 20% delle macchine sono SUV, il 35% sono monovolume e 27 sono berline. Calcola il numero di SUV.
Answer: 12
Step-by-step explanation: 27 sedanes son 45% (de 100 - (35 + 25)) es necesario hacer 27/45 para averiguar la tasa unitaria, multiplicar la tasa unitaria por porcentaje para averiguar la respuesta
A manufacturer is considering building a new and better mousetrap. She estimates the probability that the new mousetrap will be successful is . If it is successful, it would be able to make $120,000. Of course, she would make nothing if it were unsuccessful. The development costs for the mousetrap are $98,000. What is the expected value?
Answer:
$22,000 if successful
Step-by-step explanation:
So if She is able to make $120,000 on the trap, but it cost$98,000, just subtract $98,000 from $120,000 and you get $22,000 if she is successful she can expect that much
Answer:
22,000
Step-by-step explanation:
Question 3
~ True or false?
Answer:
It is true
Step-by-step explanation:
20/-7 is ~2.56
-2.8 (8 repeating) is -2.8......
So it is true
Hope this helps!
Answer:
True
Step-by-step explanation:
Write the equation of the line that passes through the point (-4, -9) and has a slope of 1/2
Answer:
The answer is y=1/2x-7
Step-by-step explanation:
y-y=m(x-x¹)
y-(-9)=1/2(x-(-4)
y+9=1/2x+2
-9 -9
y=1/2x-7