Answer:
0.006%.
Step-by-step explanation:
In a standard deck of cards, there should be four 4 cards and four king cards. We first want the probability of selecting a 4 card, which is just
[tex]$\frac{4}{52}.$[/tex]
Then we want it for the king card, but since we didn't replace the first card, we only have 51 cards left. This implies our probability is
[tex]$\frac{4}{51}.$[/tex]
Now, all we have left is to multiply the two fractions and divide by the denominator:
[tex]$\frac{4}{52} \cdot \frac{4}{51} = \frac{16}{2652} = \frac{4}{663} = 0.006.$[/tex]
*DIFFICULT QUESTION, PLS ANSWER* Wrapping paper costs $0.045 per square inch. If a moving box that is an 5.5 inch cube is being wrapped, how much would the wrapping paper for this box cost (rounded to the nearest dollars and cents)?
Answer:
$8.17
Step-by-step explanation:
I got it correcty on the test.
The costs $0.045 per square inch will be $8.17. Then the correct option is B.
What is the surface area of the cube?Let the length of the cube be a.
Then the surface area of the cube will be
SA = 6a²
If a moving box that is an 5.5 inch cube is being wrapped.
Then the surface area of the cube will be
SA = 6 x (5.5)²
SA = 181.5 square inches
Then the costs $0.045 per square inch will be
Total cost = 181.5 x 0.045
Total cost = $8.1675 ≈ $8.17
Then the correct option is B.
More about the surface area of the cube link is given below.
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If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)? (3x + 2)(x 2 + 1) 3x 2 + 1 + 2 (3x + 2)2 + 1 3(x 2 + 1) + 2
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
To find (f circle g)(x), we substitute function g(x) for x in f(x) = 3x + 2:
(f circle g) (x) = 3(x^2 + 1) + 2, or
3x^2 + 3 + 2, or
(f circle g) (x) = 3x^2 + 5
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
Show all work to solve 3x^2-5x-2=0
Answer:
The roots are {2, -1/3}
Step-by-step explanation:
The coefficients of this quadratic function are a = 3, b = -5 and c = -2.
Let's use the quadratic formula to find the roots of the given 3x^2-5x-2=0.
The discriminant is b^2 - 4(a)(c), or (-5)^2 - 4(3)(-2), or 25 + 24 = 49.
Thus, the roots are:
-(-5)±√49 5 ± 7
x = ---------------- = ------------ = 2 and -1/3
2(3) 6
Tammy is testing the cellphone service in a certain area for a cellphone company. The signal during the test can be modeled by sin t+3 where t is the time in seconds. Focusing on the domain 0 < t < 3 π/2, at what time is the signal the strongest?
Answer:
4.71
Step-by-step explanation:
3* pi = 9.42
9.42/2 = 4.71
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is [tex]x=20[/tex] degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.
[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]
Hence, the angle is [tex]x=20[/tex] degree.
To know more about the angle
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A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
Each square below represents one whole. A square divided in 25 equal parts, all 25 of which are shaded Another square divided in 25 equal parts, 13 of which are shaded What percent is represented by the shaded area?
Answer:
69% I don’t know math very good but I hope this helps!
Answer:
152%
Step-by-step explanation:
x4 (38 ---> 25)
(152 ---> 100) x4
152:100=152 per hundred=152%
152%is represented by the shaded area
What is the probability of A given B.
Answer:
3/5
Step-by-step explanation:
There are 5 students who play soccer.
Of those 5, 3 students also play basketball.
p(A|B) = 3/5
Square
Move the active vertex to change the shape of the quadrilateral and
check all properties that apply.
Square
All sides congruent
Opposite sides congruent
All angles congruent
Opposite angles congruent
Diagonals congruent
OOOO
Diagonals bisect
Check
Answer shown above
Answer:
shown above
move active check
Find the number of 4-digit numbers that contain at least three odd digits.
Answer:
Total number = 3000
Step-by-step explanation:
Odd digit numbers = 1,3,5,7,9
Total no. of odd digit numbers = 5
Numbers which aren't odd = 0,2,4,6,8
Total no. which aren't odd = 5
For a 4 digit number.
If all Fours digits are odd:
Total numbers = 5×5×5×5 = 625
If first digit is not odd and last three digits are odd:
Total numbers = 4×5×5×5 = 500
(0 cannot be put at first digits place)
If second digit is not odd and rest three digits are odd:
Total numbers = 5×5×5×5 = 625
If third digit is not odd and rest three digits are odd:
Total numbers = 5×5×5×5 = 625
If fourth digit is not odd and rest three digits are odd:
Total numbers = 5×5×5×5 = 625
Add all of them we get:
Total number = 625+500+625+625+625 = 3000
A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.4032 B. 0.6663 C. 0.3337 D. 0.88
Answer:
The correct option is;
C. 0.3337
Step-by-step explanation:
We note that for a binomial probability distribution, we have;
[tex]p(r\geq \gamma)=\sum_{\gamma = r}^{ n}\dbinom{n}{r}\cdot \left (p\right )^{\gamma }\cdot \left (1-p\right )^{n - \gamma}[/tex]
Which gives;
[tex]p(x \geq 90)=\sum_{r = 90}^{ 100}\dbinom{100}{90}\cdot \left (0.88\right )^{\gamma }\cdot \left (1-0.88\right )^{100 - \gamma}[/tex]
[tex]\dbinom{100}{90}\cdot \left (0.88\right )^{90 }\cdot \left (1-0.88\right )^{10} = 0.108033[/tex]
[tex]\dbinom{100}{91}\cdot \left (0.88\right )^{91 }\cdot \left (1-0.88\right )^{9} = 0.08706[/tex]
[tex]\dbinom{100}{92}\cdot \left (0.88\right )^{92 }\cdot \left (1-0.88\right )^{8} = 0.062456[/tex]
[tex]\dbinom{100}{93}\cdot \left (0.88\right )^{93 }\cdot \left (1-0.88\right )^{7} = 0.039399[/tex]
[tex]\dbinom{100}{94}\cdot \left (0.88\right )^{94 }\cdot \left (1-0.88\right )^{6} = 0.021516[/tex]
[tex]\dbinom{100}{95}\cdot \left (0.88\right )^{95 }\cdot \left (1-0.88\right )^{5} = 0.09965[/tex]
[tex]\dbinom{100}{96}\cdot \left (0.88\right )^{96 }\cdot \left (1-0.88\right )^{4} = 0.003806[/tex]
[tex]\dbinom{100}{97}\cdot \left (0.88\right )^{97 }\cdot \left (1-0.88\right )^{3} = 0.001151[/tex]
[tex]\dbinom{100}{98}\cdot \left (0.88\right )^{98 }\cdot \left (1-0.88\right )^{2} = 0.000258[/tex]
[tex]\dbinom{100}{99}\cdot \left (0.88\right )^{99 }\cdot \left (1-0.88\right ) = 0.0000383[/tex]
[tex]\dbinom{100}{100}\cdot \left (0.88\right )^{100 }\cdot \left (1-0.88\right )^{0} = 0.00000281[/tex]
P(r≥90) is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 + 0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.
write all factors of 72
Answer:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions with their answers,
1
2
1
a203 ad
1
ad2438
2.
2383a203
adora
aaga
a2b
a282
gბებ
2 - ab
a288
his is confusing
explanation:
In a city, taxicab fare is .80 cents for the first 1/4 mile and .20 for additional 1/4 mile. How far can you travel for $5.00?
Answer:
5 1/2 MILES
Step-by-step explanation:
$5.00-$.80=$4.20
4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES
Hope this help!
Which equation is true if the perimeter of the rectangle is 60? A rectangle with a length of 3 x minus 2 and width of x + 5. x + 5 = 3 x minus 2 (x + 5) + (3 x minus 2) = 60 2 (x + 5) + 2 (3 x minus 2) = 60 2 (3 x minus 2) minus 2 (x + 5) = 60
Answer: 2 (x + 5) + 2 (3 x minus 2) = 60
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Length = 3 x minus 2
Width = x + 5.
Since:
Perimeter of a rectangle = 2 length +2 width
Replacing with the values given:
60 = 2 ( x+5)+ 2 (3x minus 2 )
So, the correct option is:
2 (x + 5) + 2 (3 x minus 2) = 60
Feel free to ask for more if needed or if you did not understand something.
The correct one is option C.
Good luck!!!
If A = 8! and B = 8P8, then which one of the following is true:
O not enough information
OA = B
OA <B
OA>B
Answer:
A. A = B
Step-by-step explanation:
Given
[tex]A = 8![/tex]
[tex]B = ^8P_8[/tex]
Required
Which of the options is true
We start by simplifying [tex]B = ^8P_8[/tex]
Permutation is calculated as follows
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
So.
[tex]^8P_8 =\frac{8!}{(8 - 8)!}[/tex]
[tex]^8P_8 =\frac{8!}{0!}[/tex]
0! = 1; So
[tex]^8P_8 =\frac{8!}{1}[/tex]
[tex]^8P_8 =8![/tex]
Hence. B! = P!
This implies that [tex]A = B = 8![/tex]
Two students use different methods to solve this multiplication problem: 1/2 • -4 4/5 Read each of their methods below and then enter numbers to correctly complete their work.
Answer:
-2 2/5
Step-by-step explanation:
Barbara's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*\frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}\\[/tex]
Christopher's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*(-4+\frac{-4}{5})=\frac{1}{2}*-4+\frac{1}{2}*\frac{-4}{5}=-2+\frac{-2}{5}=-2\frac{2}{5}\\[/tex]
25. On a farm, there are c cows and 15
sheep. There are 4 more sheep than
cows. Which equation represents the
situation?
A C= 15 +4
B C= 15-4
CC=4 - 15
D C = 4 x 15
Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows
Step-by-step explanation:
Three friends have a total of 6 identical pencils, and each one has at least one pencil. In how many ways can this happen?
Answer:
9 possible scenarios
Step-by-step explanation:
Friend 1: Friend 2: Friend 3:
1 pencil 2 pencils 3 pencils
1 3 2
2 1 3
2 3 1
3 2 1
3 1 2
4 1 1
1 4 1
1 1 4
On the moon, the distance d (in feet) that an object falls in
time t (in seconds) is modeled by the function d(t) = 8/3 t
Suppose an astronaut on the moon drops a tool. How long
does it take the tool to fall 4 feet?
Answer:
3/2
Step-by-step explanation:
If d = feet and the question is how long it takes if a tool falls down 4 feet then plug that in the equation, which is 4 = 8/3 t
Then bring the 3 to the other side by multiplying which is 8x = 12
Lastly it is 12/8, simplified to 3/2
Which number has a repeating decimal form?
Answer:
Option D
Step-by-step explanation:
A. [tex]\sqrt{15}[/tex] = 3.87298
B. 11/25 = 0.44
C. 3/20 = 1.25
D. 2/6 = 0.333........
So, D had a repeating decimal form because it repeats the number 3.
Answer:
Step-by-step explanation:
D: 2/6. Note that 2/6 = 1/3 = 0.3333333.... (repeating decimal form)
Michael is 6 feet tall and is standing on top of
a building, looking at a park in the distance.
The angle of depression is 53°. If the building
you are standing on is 100 feet tall, how far
away is the park? Round your answer to the
nearest tenth.
ft away from the
The park is
building.
Answer:
79.9 feet.
Step-by-step explanation:
If you draw out the problem, you can easily visualize it.
We are given the opposite side length and the angle, and we need to find the adjacent. So, we will use tangent (soh cah toa - tangent: opposite/adjacent).
tan(53) = (100 + 6) / x
tan(53) = 106 / x
x = 106 / (tan(53))
x = 106 / 1.327044822
x = 79.87672931
Round your answer to the nearest tenth!
So, the park is approximately 79.9 feet away!
Hope this helps!
ABCD is a parallelogram.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram.
need explanation
plzz help!!
will give the brainliest!!
Answer:
Step-by-step explanation:
We khow that ABCD is a parallelogram so its area is the product of the base (DC) and the the height
Let H be the height of the paralellogram and A its area So A= DC*HADE is a triangle . Its area is the product of the height and the base(DE) over 2
We notice that the paralellogram and the triangle have both the same height Let S be the area of the triangle S= (DE*H)/2= DE/2 *H = DC *HSo the triangle and the parallelogram have the same area
Please help answer! It’s due today!
Answer:
need thiss
Step-by-step explanation:
Solve and graph |-8x|<8 help me lol
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
Cecil is replacing lightbulbs in the office where he works. When he started, he had x boxes of lightbulbs with 2 bulbs in each box. After replacing 16 lightbulbs, he has at least 12 bulbs left. Which inequality represents the number of boxes of lightbulbs Cecil started with? How many boxes of lightbulbs is that?
The inequality represents the number of boxes of lightbulbs that Cecil started with.
Cecil had boxes of lightbulbs when he started.
Answer:
If we add the Replaced, the Left, that would be 28 LB, 14 boxes.
Answer:
at most or at least
Step-by-step explanation:
ABC has vertices A(-1,6), B(2,10) and C(7,-2). Find the measure of each angle of the triangle. Round decimal to the nearest tenth
Answer:
Angle A = 98.1°
Angle B = 59.5°
Angle C = 22.4°
Step-by-step explanation:
When given vertices (x1,y1) ,(x2,y2), we would be using the formula:
√(x2 - x1)² + (y2 - y1)²
ABC has vertices A(-1,6), B(2,10) and C(7,-2)
Side AB = A(-1,6), B(2,10)
√(x2 - x1)² + (y2 - y1)²
= √(2-(-1))² + (10 - 6)²
= √(3² + 4²)
= √9+16
= √25
= 5
Side BC = B(2,10), C(7,-2)
√(x2 - x1)² + (y2 - y1)²
√(7-2)² + (-2 - 10)²
= √5² +(-12)²
= √(25 + 144)
= √169
= 13
Side AC = A(-1,6), C(7,-2)
√(x2 - x1)² + (y2 - y1)²
√(7-(-1))² + (-2 - 6)²
= √6² +(-8)²
= √(64 + 64)
= √128
= 11.314
To find the measure of each angle we would be using the cosine rule
Where
a² = b² + c² - 2bc × Cos A
b² = a² + c² - 2ac × Cos B
c² = a² + b² - 2ab × Cos C
Sketching a triangle we find out that
Side AB = c = 5
Side AC = b = 11.314
Side BC = a = 13
Hence
1) for Side BC = a
a² = b² + c² - 2bc × Cos A
Cos A = b² + c² - a²/ 2bc
Cos A = 11.314² + 5² -13²/(2 × 11.313 × 5)
A = arc cos[(11.314² + 5² -13²)/(2 × 11.313 × 5)]
A = 98.13°
To the nearest tenth = 98.1°
2) for Side AC = b
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/ 2ac
Cos B = 13² + 5² - 11.314/2 × 13 × 5
B = arc cos[ (13² + 5² - 11.314)/(2 × 13 × 5)]
B = 59.49°
To the nearest tenth = 59.5°
3) for Side AB = c
c² = a² + b² - 2ab × Cos C
Cos C = a² + b² - c²/ 2ab
Cos C = 13² + 11.314² - 5²/ 2 × 13 × 11.314
C = arc cos[(13² + 11.314² - 5²)/ (2 × 13 × 11.314)]
C = 22.38°
To the nearest tenth = 22.4°
Which of the following represents a rotation of △LMN, which has vertices L(−7,7), M(9,9), and N(5,−5), about the origin by 90°?
Answer:
L'(-7, -7), M'(-9, 9), and N'(5, 5)
Step-by-step explanation:
Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)
so L'(-7, -7), M'(-9, 9), and N'(5, 5)
The question was incomplete. Please check below the full content.
Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?
a) L(-7, -7) M(-9. -9) N(5, 5)
b) L(-7. -7) M(-9. 9) N(5, 5)
c) L(-7, -7) M(-9, 9) N(5, -5)
d) L (7, -7) M(9, 9) N(-5, 5)
The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are
L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.
Rotation of a point :
The rotation of a point (x,y) about the origin by 90° is (-y,x).Given vertices of ΔLMN are L(-7,7), M(9,9), and N(5, -5)Let the rotations of L, M, and N are L', M', and N' respectively.
The rotation of a point L(-7,7) about the origin by 90° is (-7,-7).The rotation of a point L(9,9) about the origin by 90° is (-9,9).The rotation of a point L(5,-5) about the origin by 90° is (5,-5).Hence L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices
L, M, and N of ΔLMN about the origin by 90°.
To know more about the rotation of a point:
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What is the 1st term in the sequence of cube numbers?
Answer:
1
Step-by-step explanation:
The n th term of cube numbers is calculated as
[tex]a_{n}[/tex] = n³
To find the first term let n = 1, that is
a₁ = 1³ = 1
Answer:
1.
Step-by-step explanation:
1 is the first term in the square numbers, as it is in the sequence of cube numbers.
1^3 = 1 * 1 * 1 = 1.
Hope this helps!
What does it mean to make connections when comparing and contrasting? (10 points)
Answer:
When making connections using compare and contrast, you should look for hidden similarities and differences. Compare/contrast aims to show all the necessary information or details that makes a topic or an object similar of different. Therefore, you should not only state the obvious, but also cite.