Answer:
0.0014 = 0.14%
Step-by-step explanation:
First we need to find the total number of pairs:
9 + 7 + 6 + 3 = 25 pairs
Then, we need to find the probability for each case:
First socks black: 7 pairs over 25: P1 = 7/25
Second socks white: 9 pairs over 24: P1 = 9/24 = 3/8
Third socks white: 8 pairs over 23: P1 = 8/23
Fourth socks brown: 6 pairs over 22: P1 = 6/22 = 3/11
Fifth socks blue: 3 pairs over 21: P1 = 3/21 = 1/7
The final probability will the the product of all probabilities above:
P = (7/25) * (3/8) * (8/23) * (3/11) * (1/7) = 0.0014 = 0.14%
Answer:
567/398475 in fraction or 0.0014229249 in decimal
Step-by-step explanation:
In the question, we are given these values
Total pair of socks = 25 pairs of socks
9 pairs of white socks
7 pairs of black socks
6 pairs of brown socks
3 pairs of blue socks
From the question, we can see that, this is probability without replacement.
Hence,
P(Black then white then white the brown then blue)=
7/25 × 9/24× 8/23 ×6/22 × 3/21
= 9072/6375600
= 567/398475
Therefore, the Probability of picking a Black socks then white socks then white socks , then brown socks and then blue socks = 567/398475 in fraction or 0.0014229249 in decimal
The radius of a circle is 12.1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
76.03
Step-by-step explanation:
Answer:
the circumference is 76.027 but it rounded to the nearest tenth is 76.030
Step-by-step explanation:
I WILL GIVE BRAINLIST!! Two joggers run 9 miles north then 3 miles west.What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
Answer:
9.5 is your answer
Step-by-step explanation:
9^2 + 3^2 =
81 + 9 =
[tex]\sqrt{90}[/tex] = 9.5
What is the ratio of the volume of Cylinder A to the volume of Cylinder B? if cylinder a has the height of 4 and radius of 3 and cylinder b has the the height of 3 and radius of 4
Answer:
3/4
Step-by-step explanation:
Cylinder A
V = πr^2h
V = π(3)^2(4)
V = 36π
Cylinder B
V = π(4)^2(3)
V = 48π
36π/48π
3/4
Expand and simplify (x + 5) ( x + 6)
Answer:
x^2 + 11x + 30
Step-by-step explanation:
HELP PLEASE
The volume of this cone is 376.8 cubic feet. What is the radius of this cone? Height is 10ft
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
6.08 ft
Step-by-step explanation:
Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]
[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]
[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]
[tex]R = \sqrt{36.98}[/tex]
[tex]R = 6.08[/tex]
Find the value of x and the value of y.
Answer:
B.
Step-by-step explanation:
If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.
Then, you can just make an equation:
2x + 2x - y + y + 60 + 40 = 360
4x = 260
x = 65°
Now you can use same side interior angles to make another equation:
2x - y + 60 = 180
130 + 60 - y = 180
y = 10
Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)
I scanned for a pair of x coordinates that match and a pair of y coordinates that match. That would be a right triangle whose sides are parallel to the axes. It's possible our right triangle is more complicated, but let's start here.
Nope, it doesn't look like our right triangle is oriented to the axes. Let's do the Pythagorean Theorem.
1) A(-1, -3), B(4, -3), C(2, -1)
AB² = (4 - -1)² + (-3 - -3)² = 25
AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13
BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8
25 ≠ 13 + 8, not a right triangle
2) A(-2, 2), B(1, -4), C(4, 2)
AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45
AC²= (4 - -2)² + (2 - 2)² = 36
BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45
not a right triangle, but isosceles
3) A(-1, 1), B(3, 5), C(4, -4)
AB² = 4² + 4² = 32
AC²= 5² + 5² = 50
BC²= 1² + 9² = 82
BC² = AC² + AB², THIS IS A RIGHT TRIANGLE
4) A(-1, 3), B(-4, -3), C(-4, 1)
AB² = 3² + 6² = 45
AC²= 3² + 2² = 13
BC²= 0² + 4² = 16
not a right triangle
Answer: 3) A(-1, 1), B(3, 5), C(4, -4)
What is the exponential form of log4 16 = 2?
Explenation:
Logarithm
log
b
x
is the exponent of a power with base
b
which gives the number under
log
sign (
x
).
In this example we can say that:
log
4
16
=
2
because:
4
2
=
16
Step-by-step explanation:
Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
Look at the figure below. Which of the following statements could be a step in a proof that vertical
angles are congruent?
APC = DPB because angles formed by the
same pair of intersecting lines are congruent to each
other.
ZAPC ZDPB because angles complementary
to the same angle are congruent to each other.
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
ZAPC ZDPB because angles supplementary to
the same angle are congruent to each other.
Answer:
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
Step-by-step explanation:
what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]
5x+4y= 10
–5x+y = 15
Answer:
what exactly are we trying to solve for
Which of the following shows the correct solution steps and solution to
3x-2= -11
Answer:
the third one is correct
Step-by-step explanation:
help asap will mark brainliest
Answer:
Step-by-step explanation:
x = 105
the angle vertically opposite to x is 105 as it is corresponding to 105
and corresponding angles are equal
since vertically opposite angles are equal too, then x = 105 too
Answer:
Step-by-step explanation:
x = 105 {alternate exterior angles are equal}
When two parallel lines are intersected by the transversal, alternate exterior angles are equal
need help quick plz
Adding and subtracting radicals
What is the value of tan(60°)?
А
O
300
N
V3
B
60°
3
2
6
C
Answer:
The exact value of tan(60°) is √(3).
Step-by-step explanation:
The value of the trigonometric relation tan ( 60 )° = √3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
A = tan ( 60 )°
And , from the trigonometric identities , we get
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
So , the measure of tan ( 60 )° = √3
Hence , the trigonometric relation is solved
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Graph: y = 12 - 41 + 2
Step-by-step explanation:
y=-27
...................
how many twentieths equal three-fifths
Answer:
12
Step-by-step explanation:
It takes twelve 1/20 tiles to exactly cover three 1/5 tiles, so 35=12/20.
The number of twentieths required to make three fifths is required.
Twelve twentieths equal to three-fifths
The question can be rephrased as "How many times do you have to add [tex]\dfrac{1}{20}[/tex] to get [tex]\dfrac{3}{5}[/tex]"
The end result should be [tex]\dfrac{3}{5}[/tex]
Let the number of times be [tex]x[/tex]
[tex]x\times \dfrac{1}{20}=\dfrac{3}{5}\\\Rightarrow x=\dfrac{3}{5}\times 20\\\Rightarrow x=12[/tex]
So, twelve twentieths equal to three-fifths.
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I really need help and I would greatly appreciate it
Answer:
a. 15.783/19 × 100% = 15.78
b. 7
12-5 = 7
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
c. 8
because 8 divides the age group making half the people younger than this age and half are older
2 . a - highest point is 8.7
c . georgina did better then half of the other gymnists which can be seen because the highest point is 8.7 where there are many who 7.7
mark brainliest pls
Pls help me on this question !
Please help! Choose all that apply.
Answer:
I believe that the answers are B & C
Step-by-step explanation:
Hope this helps! Please pick me as brainliest!
Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?
Answer:
$25.96
Step-by-step explanation:
take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
2/5 of it is 22.\
I need help PLS
Answer
55
Step-by-step explanation:
2
5
(22)
=(
2
5
)(
22
1
)
=
(2)(22)
(5)(1)
=
44
5
(Decimal: 8.8)
which will give 55
PLease mark brainllest!!!!!!!
Answer:
2 divided by 5 = 0.4
22/0.4=220/4=55
55 is the number. Hope this helps.
Step-by-step explanation:
8,11,14,14,13,15,9 Mean median mode Range
Answer:
Mean:12
Median:13
Mode:14
Range:7
Step-by-step explanation:
The Mean is the average.
8+11+14+14+13+1+9/7=12
The Median is the Middle number when in order from least to greatest.
8,9,11,13,14,14,15
The Mode is the number that appears the most.
14 Appears Twice
The Range is the largest number minus the smallest
15-8=7
A 2-year loan of $500 is made with 4% simple interest. Find the interest earned. Please state the answer with a dollar sign followed by a whole number. Example: $32
Answer:
$10
Step-by-step explanation:
4% of 500 is 5 dollars and two years is 10
The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .
Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded
The quotient is ____.
What is the converse of the following statement ?
If two triangles are congruent, then their corresponding angles are congruent.
Answer: C
Step-by-step explanation: Converse means the reversed statement
3. If two triangles are not congruent, then their corresponding angles are not congruent. the converse of the following statement is option C.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given statement:
"If two triangles are congruent, then their corresponding angles are congruent."
1. If the corresponding angles of two triangles are congruent, then the triangles are congruent.
This is not the converse of the following statement.
2. If two triangles are congruent, then their corresponding angles are congruent.
This is not the converse of the following statement.
3. If two triangles are not congruent, then their corresponding angles are not congruent.
This is the converse of the following statement.
4. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent This is not the converse of the following statement.
Thus, the converse of the following statement is option C.
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