Answer:
1/16
Step-by-step explanation:
1/2 getting tails
1/4 getting tails twice
3/12 getting a J month =1/4
1/4 x 1/4 =1/16
Answer:
1/16
Step-by-step explanation:
Given a fair coin, the probability of getting tails on any one toss =
P(tails) = 1/2
if a coin is tossed twice and we get tails both times,
P( 2 tails on 2 consecutive tosses) = (1/2)(1/2) = 1/4
Total number of months = 12 months
Months that start with J = January, June, July = 3 months
P(selecting months that start with J) = 3/12 = 1/4
Hence the probability of tossing 2 consecutive tails then selecting a month that starts with J
= (1/4) x (1/4)
= 1/16
What is the measure of B, in degrees?
A rectangle is 4 times longer than it is wide. The perimeter of the rectangle is 30 cm. Find the dimension of the rectangle.
Width is 3 cm and length is 12 cm
Step-by-step explanation:
Step 1: Let the width of the rectangle be x. Then the length = 4x. Find the dimensions if perimeter = 30 cmPerimeter of the rectangle = 2 (length + breadth)
30 = 2(x + 4x)
30 = 10x
⇒ x = 30/10 = 3
⇒ 4x = 12
What is the surface area of the pyramid? units²
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
Answer:
95 units²
Step-by-step explanation:
Find the area of the base and the four triangles
Base
(5)(5) = 25 units²
Triangles
1/2(7)(5)*4
1/2(140)
70 units²
Add them together -- 70+25 = 95 units²
Answer please?????!!!!
Answer:
x = 3
Step-by-step explanation:
4x + 3 + 7x = -2x + 42
11x + 3 = -2x + 42
13x = 39
x = 3
Answer:
x=3
Step-by-step explanation:
4x+3+7x=-2x+42
combine like terms
11x+3=-2x+42
add 2x to both sides
13x+3=42
subtract 3 from both sides
13x=39
divide both sides by 13
x=3
Estimate by rounding each number to the nearest ten thousand and then subtract
Answer:
50,000
Step-by-step explanation
80,000 - 30,000 = 50,000
all of the following are equivalent except
7x2
4x+3x
(4+3)x
7x
Answer:
7x2
Step-by-step explanation:
7x2 is 14 and all the other ones equal 7
4x+3x,(4+3)x, and 7x are equivalent except 7x^2
Let's solve:
4x+3x=7x
(4+3)x=7x
Hope it will help u...
Can someone check if this is right
Eric is reading a book that has 144 pages. He reads 8 pages a day. How many days will it take Eric to finish reading the book?
Answer:
It will take him 18 days to finish the book.
Step-by-step explanation:
[tex]144/8=18[/tex]
Answer:
18
Step-by-step explanation:
You divide 144 by 8 and get the answer.
Ju Wenjun is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time ttt, in years, since Ju Wenjun started studying the population, and the number of tigers, N(t)N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function N(t)=650⋅(1625)t
Complete the following sentence about the rate of change in the tiger population.
Round your answer to two decimal places.
The number of tigers decays by a factor of \dfrac45
5
4
start fraction, 4, divided by, 5, end fraction every
Answer:
The number of tigers decays by a factor of
[tex]\dfrac{4}{5}[/tex] every 0.50 years
Explanation:
The correctly written function is
[tex]N(t)=650\cdot \bigg(\dfrac{16}{25}\bigg)^t[/tex]
Convert 16/25 into its equivalent form (4/5)²
[tex]N(t)=650\cdot \bigg(\dfrac{4}{5}\bigg)^{2t}[/tex]
If you make t = 1/2, this is half-year, the population of tigers will decay by a factor of 4/5 in that time. Every time the half-year passes, the population is multiplied by 4/5, which means that the polulation will decay by a factor of 4/5 whenever half a year elapses.
Hence, the number of tigers decays by a factor of 4/5 every 0.50 years.
The tiger population model indicates a decay by a factor of 4/5 every year. This factor shows the yearly reduction rate for the tiger population in Siberia.
To determine the rate of change in the tiger population modeled by the function N(t) = [tex]650 \cdot \left(\frac{16}{25}\right)^t,[/tex] we look at the decay factor in the exponential function. The base of the exponent, [tex]\frac{16}{25}[/tex], indicates that the population is decaying.
This decay factor can be expressed as [tex]\frac{4}{5}[/tex], where every year, the number of tigers decays by a factor of [tex]\frac{4}{5}[/tex]. Thus, we can complete the sentence as follows:
The number of tigers decays by a factor of [tex]\frac{4}{5}[/tex] every year.
A birthday hat is the same shape as a *
triangle
cone
ice cream scoop
A car travels at an average speed of 64 miles per hour. How long does it take to travel 224 miles?
Answer:
3.5 hours
Step-by-step explanation:
Use the formula:
distance=rate*time
224=64t
Divide by 64 on both sides
t=3.5
So, it takes 3.5 hours to travel 224 miles
Hope this helps! :)
answer n.8 for me pls
Answer:
Step-by-step explanation:
(13)2−(2x+7)=0
19x2−2x−7=0
9(19x2−2x−7)=9(0)
x2−18x−63=0
(x−21)(x+3)=0
Therefore, the value of x are
x - 21 = 0 and x + 3 = 0
x = 21 x = -3
Find the perimeter of the figure.
square with a measure of 1x1
triangle with a measure of 5x3x3
Answer:
what does the shpe look like
Step-by-step explanation:
Answer:
perimeter=2
perimeter = 11
Step-by-step explanation:
Does 0=-4p+4p have a solution
Answer:
No it doesn’, the result will be 0 as -4 + 4 = 0
Try it on your calculator and see
Step-by-step explanation:
Answer:
Simplifying
0 = -4p + 4p
Combine like terms: -4p + 4p = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Step-by-step explanation:
What’s common denominators for 2/5 and 3/5
Answer:
5
Step-by-step explanation:
The fractions already have a common denominator of 5
Help please, I’m stressing and I’m going to have a mental break down
Answer:
Step-by-step explanation:
Volume = surface area of base * height
[tex]=\frac{25}{4}*\frac{8}{5}\\\\=5*2=10\\\\=10 units^{3}[/tex]
Is 4.39463 a natural number
Answer:
i wanna say yes it is a natural number, i hope this helps
A square in a rectangle have the same perimeter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x
The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.
Step-by-step explanation:
The given is,
A square in a rectangle have the same perimeter
The length of a side of the square is 4x-1
The length of the rectangle is 2x+2 and width is 2x
Step:1
Let, a - Side of square
l - Length of the rectangle
w - Width of the rectangle
Step:2
Formula for perimeter of square is,
[tex]p=4a[/tex].............................(1)
Formula for perimeter of rectangle is,
[tex]p=2(l+w)[/tex]....................(2)
Step:3
From given,
Equation (1) = Equation (2)
[tex]4a = 2 (l+w)[/tex]
where,
a = 4x-1
l = 2x+2
w = 2x
Substitute the values,
4 ( 4x-1 ) = 2 ( 2x+2+2x )
16x - 4 = 2 (4x + 2)
16x - 4 = 8x + 4
16x - 8x = 8
8x = 8
x = 1
Step:4
Substitute the values of x,
a = 4(1)-1 = 3
l = 2(1)+2) = 4
w = 2(1) = 2
Perimeter of square and rectangle is 12 units
Result:
The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.
What is the volume?
17 cm
13 cm
5 cm
It’s a triangular prism.
Answer:
1105 cubic centimetre
Step-by-step explanation:
volume of rectangular prism
[tex] = 17 \times 13 \times 5 \\ = 1105 \: {cm}^{3} [/tex]
what’s the fraction fro 5/12+(-7/12)
Answer:
-.167= -1/6
Step-by-step explanation:
5/12+(-7/12)
=(5 × 12) + (-7 × 12)
_______________
12 × 12
=-24/144
= -24 ÷ 24
________
144 ÷ 24
= - 1
_______
6
What is the volume of a cylinder with base radius 3 and height 8? Either enter an exact answer in terms of \piπpi or use 3.14, for \piπpi and enter your answer as a decimal.
answer is 72 then pi symbol
In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
Answer:
Step-by-step explanation:
0.53 is the answer to the nearest hundredth.
To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.
In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:
cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53
Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.
The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 1/18. Use this information to answer the questions below
(A) What is the probability that the state will be hit by a major tornado two years in a row?
Answer:
The probability that the state will be hit by a major tornado two years in a row is 0.00309.
Step-by-step explanation:
Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.
For example, the events of winning a lottery and being late for work are independent or the events of taking a cab home and making dinner are also independent.
In this case we are provided that the probability that a certain state will be hit by a major tornado is, [tex]\frac{1}{18}[/tex].
Consider the event that a state was hit by the major tornado.
The event of the major tornado hitting a state a second time next year is not dependent on the fact that it had already hit that state last year.
The two events are independent.
Compute the probability that the state will be hit by a major tornado two years in a row as follows:
P (Tornado hits twice) = P (Tornado in 1st year) × P (Tornado in 2nd year)
[tex]=\frac{1}{18}\times \frac{1}{18}\\=0.00309[/tex]
Thus, the probability that the state will be hit by a major tornado two years in a row is 0.00309.
The probability that a state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18, is 1 in 324.
Explanation:The question is asking about the probability that a certain state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18. In this question, the two events are independent, meaning that the occurrence of a tornado in one year does not affect the occurrence of a tornado in the next year. Therefore, we can simply multiply the probabilities for each year to find the two-year probability.
To calculate, we take the probability of a tornado in one year (1/18) and multiply it by the same probability for the next year (which is also 1/18).
So, the calculation is (1/18) * (1/18) = 1/324.
This means that the probability that the state will be hit by a major tornado two years in a row is 1 in 324.
Learn more about Probability here:https://brainly.com/question/32117953
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Which could be the area of one face of the triangular prism? Select three options.
A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.
[Not drawn to scale]
24 square units
48 square units
72 square units
96 square units
144 square units
Answer:
(A)24 square units
(C)72 square units
(D)96 square units
Step-by-step explanation:
Triangular face
Height of the Triangle=6 Units
Base of the Triangle=8 Units
Area of the Triangular Face
[tex]=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units[/tex]
Rectangular Faces
Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units
Area of Rectangular face with dimension 12 by 8= 12 X 8=96 Square Units
Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units
From the options, the areas are:
24 square units 72 square units 96 square unitsAnswer:
acd
Step-by-step explanation:
Can you help me with this question please
Answer:
Claire will get 12,800 pounds of interest
Step-by-step explanation:
6.4% of 200,000 is 12,800
How did I get 6.4? 1.6 * 4 = 6.4
C is directly proportional to the square of D and when C=32, D= 4. Find C when D= 3
Answer:C=6
Step-by-step explanation:C directly proportional to D
C=kD where k=constant
C=32, D=4×4
32=k16
K=32÷16
K=2
Now D=3 and k=2
C=kD
C=2×3
C=6
Answer: c=18
Step-by-step explanation:
C is directly proportional to square of D
C € D2
€ rep directly proportional
C=kd2
K is a constant
C=32
D=4
Substitute
32=k(4^2)
32=k(16)
32=16k
K=32/16
K=2
Since we know our constant k to be 2
Substitute
We are looking for c,when d=3
C=kd2
C=2×(3^2)
C=2×9
C=18
NEED HELP ASAP
which set of numbers could represent the lengths of the sides of right triangle
A. 7,9,11
B. 12,18,22
C. 10,15,20
D. 8,15,17
We have to use Pythagorean Theorem to solve this. We square the two smallest sides, then add. If the sum is the square of the largest side, then it's our answer.
A. 7, 9, 11
49 + 81 = 130 ≠ 121
B. 12, 18, 22
144 + 324 = 468 ≠ 484
C. 10, 15, 20
100 + 225 = 325 ≠ 400
D. 8, 15, 17
64 + 225 = 289 = 289
So, our answer is D
pls help me i’ll give u a brainlest
Answer:
9 square feet.
Step-by-step explanation:
First, set up this equation: 486 = 6(x^2)
Divide 486 by 6 to get 81, and square root both sides to get x = 9.
Here is a list of numbers: -10, -11, -8, 17, -17, 4, -11 ,12 ,12 ,-4 State the median.
Answer:
The answer is (-6).
Step-by-step explanation:
Order the numbers from smallest to largest.
Then start eliminiating one from left, one from right until you get the median. Since in our case the median is in between (-8) and (-4). Sum the numbers and divide them by 2.
Good luck!
a and b are complementary angles. Za measures 44°.
What is the measure of b?
Answer:
46
Step-by-step explanation:
So angle b equals to 46 degrees
Complementary angles equal to 90 degrees when added together. So set the equation to 90.
44+x=90
Subtract 44 from both sides
x=46