Use the Multiplication Law of Exponents to solve the expression below. 91/2.91/2=​

Answer:

[tex]P(G\ then\ R)=0.045[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of  Green beads [tex]P_g=18[/tex]

Percentage of  Red beads    [tex]P_r=18[/tex]

Percentage of Purple beads [tex]P_p=18[/tex]

Therefore

Probability of choosing a Green bead is

 [tex]P(G)=0.18[/tex]

Probability of choosing a Red bead is

 [tex]P(R)=0.25[/tex]

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

 [tex]P(G\ then\ R)=0.18*0.25[/tex]

 [tex]P(G\ then\ R)=0.045[/tex]

Answer:

[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment for two-way table

Required

Determine [tex]P(Invisibility | Female)[/tex]

This is calculated using the following formula for conditional probability:

[tex]P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}[/tex]

From the attached table

[tex]n(Invisibility \& Female) = 32[/tex]

[tex]n(Female) = 48[/tex]

So, the equation becomes:

[tex]P(Invisibility | Female) = \frac{32}{48}[/tex]

Simplify

[tex]P(Invisibility | Female) = \frac{32/16}{48/16}[/tex]

[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

Answer:

I think the title is missing from the graph

Answer:

Y-intercept maybe? since the given function doesn't have a point where x = 0

Or it could also be the x and y-axis are not labeled

I'm so sorry if this is wrong but i hope this helps!

Answer:

9.6 x 10^3 thats the answer...............................................................

Answer:

$137.50

Step-by-step explanation:

Simples interest = amount deposited x time x interest rate

2500 x 0.055 x 1 = 137.50

Answer:m

Step-by-step explanation:

Answer:

The value of x is 28°

Step-by-step explanation:

2x + 1 and 33° together forms 90° angle.

So, we need to find the angle at the 2x + 1.

--> 90° - 33°

= 57°

So, 2x + 1 gives 57°.

So, to find x :-

2x + 1 = 57°

2x = 57 - 1

2x = 56

x = [tex]\frac{56}{2}[/tex]

x = 28

Answer:

50

Step-by-step explanation:

In a right angled triangle :

Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio

For an angle of 23° and and adjacent leg of 46

Cos 23 = adjacent / hypotenus

Adjacent / hypotenus = 0.92

46 / hypotenus = 0.92

Hypotenus = 46 / 0.92

Hypotenus = 50

Answer:

x = -7

Step-by-step explanation:

Seven times a number and seven is equal to six times a number.

Word problems can be tricky no matter what level of math or science you are in.

First look at the question for words that indicate mathematical symbols.

"times" indicates multiplication

"and" indicates addition

"a number" means we have a variable, x, to solve for

Now we can go from left to right and write it in a mathematical equation

7x + 7 = 6x

Then, solve for x

7x + 7 = 6x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

Finally, we check our work.

7x + 7 = 6x

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42 √

The answer is x = -7

Answer:

10

Step-by-step explanation:

Substitute 1 in place of x and the result is -4.

Again substitute 3 in place of x and the result is 6.

Change=6-(-4)=10

Answer:

4: No

5: A

Step-by-step explanation:

4: The mapping does now represent a function. In a function each x value can only have 1 corresponding y value ( meaning that the x values can not repeat.) In the mapping the x value 3 corresponds with 2 y values therefore the mapping is not a function.

5.

Formula for volume of a cylinder = [tex]V=\pi r^2h[/tex]

Where r = radius and h = height

The cylinder shown has a given diameter of 22ft and a given height of 10ft

In order to use the formula we must convert the diameter to radius.

To do this we divide the diameter by 2 ( this is because the radius is equal to half the diameter )

so radius = 22/2 = 11

Now we plug in the dimensions into the formula

[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\1210\pi[/tex]

Remember, it says " Leave your answer in terms of pi," therefore we do not apply pi and leave it as 1210π

We can conclude that the answer is A

Answer:

11

Step-by-step explanation:

5+6

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Answer:

90 km

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

Answer:

area of the square=12×12

=144 cm²

area of the circle (radius=12/2=6 cm

πr²

3.142×6²

=113.112 cm²

area of the square-area of the circle

144. -113.112

30.888 cm²

Area of the shaded region=30.888/4

=7.722 cm²

Answer: 7.5 feet

Step-by-step explanation:

.

Answer:

B97.60

Step-by-step explanation:

I got b bc if u add all the number up u get that answer.

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

Answer:

If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5

Step-by-step explanation:

The value of a•b =0.045 and a/b = 8

A number expressed as a quotient, in which a numerator is divided by a denominator

given: a=0.6, b= 0.075

Now, a*b= 0.6*0.075

               = 0.045

and, a/b

= 0.6/0.075

=8

Hence, a*b= 0.045 and a/b =8

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Answer:

gotchu.

c = 36

Step-by-step explanation:

First add five to each side.

c/4 = 9

then you multiply by four:

c=36