Answer:
D. 42
Step-by-step explanation:
From the given value of probability
If each number represent exactly one animal and the probability of seeing a zebra = 1/8
Which means out of all the animals, the ratio is only one zebra to 8 total animal including itself
Total animal present in the zoo= = 8
Total zebra = 1
So probability goes back to 1/8
So it means that the ratio we will be dealing with should be multiple of 8.
From the options given below
That is between A.8 B.16 C.32 and D.42.
We can see that all are multiple of 8 except 42
The sales tax on clothing in Nebraska is 5.5%. Calculate how much tax you need to pay on a shirt if it costs $36.60 before tax. Round your answer to the nearest cent.(plz answer asap)
Answer:
$2.01.
Step-by-step explanation:
Tax paid = 5.5% * 36.60
= 0.055 * 36.60
= 2.013
What are the roots of the equation? x^2 − x − 42 = 0 Enter your answers in the boxes. X= X=
Answer:
x = -6 and x = 7
Step-by-step explanation:
x² - x - 42 = 0
find two number which
a + b = -1
a*b = -42
a = -7
b = 6
x² - x - 42 = 0
(x-7)(x+6) = 0
x-7 = 0
x = 7
x +6 = 0
x = -6
Answer:-6 or 7
Step-by-step explanation:
-5/7 times 1/5 please help answer
Answer:
-1/7
Step-by-step explanation:
-5/7 × 1/5
Multiply.
-5/35
Simplify.
-1/7
Answer:
[tex] \frac{ - 1}{7} [/tex]
solution,
[tex] \frac{ - 5}{7} \times \frac{1}{5} \\ = \frac{ - 5 \times 1}{7 \times 5} \\ = \frac{ - 5}{ 35} \\ [/tex]
divide 5 and 35 by 5, you will get:
[tex] = \frac{ - 1}{7} [/tex]
hope this helps...
Good luck on your assignment
*PLEASE ANSWER* The radius of a salad bowl is 7.2 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere). a.) 325.72 in2 b.) 651.44 in2 c.) 81.43 in2
Answer:
a) 325.72
Step-by-step explanation:
A=4pir^2
A=4x3,14x7.2x7.2
a=651.44
1/2a=1/2x651.44
=325.72
Given the equation y ^2 − 4y = 3, what constant must be added to both sides so the left side is the square of a binomial?
Answer:
4
Step-by-step explanation:
y² − 4y = 3
y² - 2*2*y =3
y² - 2*2*y + 2² = 3 + 2²
(y - 2)² = 3 + 4
What is the recursive formula for the geometric sequence with this explicit formula?
Answer:
[tex]a1 = 9 \\ an = a(n - 1) \times ( \frac{ - 1}{3} )[/tex]
What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
What number is represented by point B?
Which point represents the number 2?
Answer:
-1, c
Step-by-step explanation:
Each dot represents 1.
0 - 1 = -1
As labeled, c represents 2.
In how many ways can the letters of the word PROBABLY be arranged using all of the letters?
Answer:
20160
Step-by-step explanation:
If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)
but, there is B which repeated 2 times.
So, 8!/2!
Answer:
20160
Step-by-step explanation:
Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.
So, you have to do 8! / 2! because the 2! is the two B's.
Hope this helps!! :)
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24cm
Calculate the area
Area of a rectangle is 27 cm²
Given:
Perimeter of a rectangle = 24 cm
Length = 3x
Width = x
p = 2(l + w)
24 = 2(3x + x)
24 = 6x + 2x
24 = 8x
24/8 = x
3 = x
Width = 3 cm ; Length = 3x = 3(3) = 9 cm
Area = length * width
= 9cm * 3 cm
Area = 27 cm²
Answer:
Area of a rectangle is 27 cm²
Step-by-step explanation:
Find the number of vertices on this solid.
Answer:
5
Step-by-step explanation:
Vertices are points where lines intersect. A pyramid has 5 vertices.
Answer:
5
Step-by-step explanation:
A square-based pyramid has 5 vertices, 1 on the top and 4 on the base.
PLEASE HELP ME!! I NEED AN ANSWER ASAP PLZ! Given the quadrilateral inscribed in the circle, what is m∠L?
Answer:
97 degrees
Step-by-step explanation:
Which statement is true?
A) |-45| = 45 and |-96| = -96.
B) -|-451 = 45 and -|-96| = -96.
C) |-45| = 45 and |-96| = -96.
D) |-45| = 45 and |-96| = 96.
The statement that is true is |-45| = 45 and |-96| = 96.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|-45| = 45
|-96| = 96
-|-45| = - 45
-|-96| = - 96
|-45| = 45
|-96| = 96
|-45| = 45
|-96| = 96
Thus,
|-45| = 45 and |-96| = 96 is true.
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Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1
to 6. Each player chooses one card and rolls the cube to determine the number of spaces to
move on the game board.
What is the probability that Trinity will choose a card greater than 6 and roll a 6 on the
cube?
Done -
The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.
Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.
Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be
[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]
More about the probability link is given below.
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Please Help 100 points
Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3?
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.
Answer:
see below
Step-by-step explanation:
-1.1 x + 6.4 >- 1.3
Subtract 6.4 from each side
-1.1 x + 6.4 -6.4 >- 1.3-6.4
-1.1x > -7.7
Divide each side by -1.1, remembering to flip the inequality
-1.1x/-1.1< -7.7/-1.1
x < 7
There is an open circle at 7 and a line going to the left
Hey there! :)
Answer:
C.
Step-by-step explanation:
Given:
-1.1x + 6.4 > -1.3
Subtract 6.4 from both sides:
-1.1x > -7.7
Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.
-1.1x/ (-1.1) < -7.7/(-1.1)
x < 7.
Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.
2. Below is a circle with centre C. A, B, D, and E
are points on the circumference. BD is a diameter of
the circle.
Angle CDA is 18° Find the size of angle EDA.
You must show your workings
Answer:
Step-by-step explanation:
45-37
8x17 = 136
Does anyone know this need help! Thanks!
the formula for the circumference of a cirlce is πd. the diameter is 2r which in this case is 0.5. therefore the circumference is 0.5π, or 1.5708 (rounded)
Answer:
C= 157
Step-by-step explanation:
The formula for the circumference of a circle is 2 · pi · r (radius)
So your problem would look something like this:
C= 2 · pi · r
C= 2 · 3.14 · 25
C= 157 in.
Which of the following is a solution of the system
x - 2y < 4 and y > – 2x – 5?
1. (1, - 4)
2. (-8,2)
3. (0,0)
4. (-3,0)
Answer:
Answer B
Step-by-step explanation:
1. (1, -4) is NOT a solution because (1) - 2(-4) < 4 is false.
2. (-8, 2): -8 - 2(2) < 4 is true, and in simplified form is -12 < 4 (true) We must check whether this point (-8, 2) ALSO satisfies y > -2x - 5:
2 > -2(-8) - 5. Yes, this is true, so the given point satisfies both inequalities in Answer B.
The product of the first 50 prime numbers is not divisible by:
A. 26
B. 36
C. 46
D. 86
Answer:
C.46
Step-by-step explanation:
I hope it helps ❤
The product of the first 50 prime numbers is not divisible by 86.
What is meant by prime number?A prime number is a whole number greater than one with only the number one and itself as factors. A factor is a whole number that can be evenly divided by another number. 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are the first few prime numbers. Composite numbers are those that have more than two factors. Only the number 1 and the number itself are divisible by 11. A number must have exactly two factors to be classified as a prime number. 11 is a prime number because it has exactly two factors, namely 1 and 11.The largest known prime number is currently 282,589,933. This prime, as well as the previous seven largest primes discovered, are referred to as Mersenne primes, after the French mathematician Marin Mersenne (1588–1648).Therefore,
First 50 prime numbers are, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
So 86 is not the prime number.
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can someone help me solve this problem?
and the answer is 4a + 5
Step-by-step explanation:
the value of a in the second is 1 so 3a + a is 4a
and 3 + 2 is 5Which triangle is a regular polygon? right triangle equilateral triangle scalene triangle obtuse triangle
Answer:
Step-by-step explanation:
In a regular polygon, all sides and angles are equal.
So, an equilateral triangle is an example for regular polygon
Answer:
equilateral triangle should be the correct answer
Step-by-step explanation:
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY HAVE 20 MINUTES
Answer:x=8 Y=-6
Step-by-step explanation:
14-2.5x=1.5x-18
+18. +18
32-2.5x=1.5x
+2.5x =2.5x
32= 4x
Divide 4 to both sides you get
8=x
Y=14-2.5(8)
Y=14-20
Y=-6
Which of the following represents the factorization of the trinomial below?
x² - 2x - 48
A. (x-4)(x-12)
B. (x+4)(x-12)
C. (x-6)(x-8)
D. (x+6)(x-8)
Answer: (x-8)(x+6)
Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.
These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)
Hope this helps:)
Answer: d
Step-by-step explanation:
This a trinomial so to find the factorization you need just to solve this equation :
x²-2x-48=0a=1b=-2c=-48Δ=(-2)²-4*1*(-48)=196 so our trinomial has 2 solutions : [tex]\left \{ {{y=\frac{2+\sqrt{196} }{2} } \atop {x=\frac{2-\sqrt{196} }{2} }} \right.[/tex]x=8 and y=-6
the factorisation is f(x)=a* (x-8)(x-(-6))
the answer is : (x+6) (x-8)
A small airplane can fly 12 miles in 3 minutes. At this rate, how far can it fly in 7 minutes? In an hour?
Answer:
28 miles in 7 minutes, 240 miles in an hour
Step-by-step explanation:
We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1
The plane travels 4 miles a minute
To find how much it travels in 7 minutes, multiply by 7
4x7 is 28
28 miles in 7 minutes
To find an hour, multiply by 60
4x60= 240
240 miles in an hour
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Hey there! :)
Answer:
1.
Step-by-step explanation:
If a line has the equation y = x + 6, a parallel line would contain the same slope.
In the equation y = x + 6, there is no coefficient, or slope. This means that the slope, or m = 1.
Thus, a parallel line would contain an equivalent slope, making the slope of the parallel line = 1.
Answer:
1
Step-by-step explanation:
Two lines are parallel if they have the same slope. The slope is the number that comes before x.The slope of the first line is 1, even though it doesn't say 1x, as anything multiplied by 1 is itself, so it is left out.
Image attached: geometry
===================================================
Explanation:
For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure
exterior angle = 40
We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180
interior angle = 180-(exterior angle) = 180-40 = 140
This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.
--------------------
side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.
£80 is divided between Fiona, Pip & Sara so that Fiona gets twice as much as Pip, and Pip gets three times as much as Sara. How much does Fiona get?
Answer:
Fiona got £48
Step-by-step explanation:
let Sara=x
Pip=3x
Fiona=2(3x)
x+3x+2(3x)=£80
4x+6x=£80
10x=£80
10x/10=£80/10
x=£8
therefore Sara(x) got £8
Pip=3x
=3(8)
=£24
Fiona=2(3x)
=2(24)
=£48.
Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.
The bank will convert the euros into pounds using £1 =
1.1452 euros.
The bank deducts a fee of £0.89 from her savings account
for this conversion.
How much money does Jana now have in her bank
account?
Step-by-step explanation:
She has 234 euros left after the conversion
Total money = 1500 + 234 = 1734
Answer:
£11734.88
Step-by-step explanation:
Jana's 270 Euro converts into pounds as follows:
270 Euro £1
------------------ * ------------------ = £235.77
1 1.1452 Euro
From this we subtact the £0.89 conversion fee, obtaining £234.88 net. We add this amount to the £1500 already in her account, obtaining £11734.88
What is the number of possible outcomes for the tree diagram below?
w
w
w
A. 8
B. 6
C. 4
0
D. 2
Answer:
4
Step-by-step explanation:
If F(x) =5x/3 +5
+5, which of the following is the inverse of F(x)?
O A. F'(x) = 5(x+5)
3
O B. F'(x) = 3(x+5)
5
C. F1(x) = 5(x-5)
O D. F'(x) = 3(-5)
Answer:
[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
Step-by-step explanation:
[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]
The inverse of the linear function, f(x), f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is f⁻¹(x) = 3 (x -5) / 5
What is the inverse of a function?The inverse of a function is a function that reverses the effect the original function.
Here, we have,
The original function is; f(x) =5x/3 +5
The inverse of f(x) can therefore be found by making x the subject of the equation as follows;
f(x) = 5x/3 +5
f(x) -5 = 5x/3
(f(x) -5) 3 = 5·x
x = (f(x) -5) 3 / 5
x = 3 (f(x) -5) / 5
Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;
f⁻¹(x) = 3 ((x) -5) / 5
f⁻¹(x) = 3 (x -5) / 5
The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.
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