Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent
B) Independent

Answer:

16 : 36 : 15

Step-by-step explanation:

2/3 : 3/2 : 5/8

multiply each term by the lowest common denominator: 24

16 : 36 : 15

Step-by-step explanation:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Answer:

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population

Step-by-step explanation:

The population mean = μ= 7.5

Sample mean = x`= 7.3

Sample standard deviation= s= 0.6

Sample size = 87

Assuming normality we perform z test

z= x`-u/s/√n

z= 7.3-7.5/0.6/√87

z= -3.11

The critical region for 0.05 for two tailed test is z>+1.96 and Z<-1.96

Since the calculated z= -3.11 falls in the critical region Z<-1.96 we conclude that birth rate is lower in the young mothers.

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population

Only choice a is correct because when n > 30 the population standard deviation and the sample standard deviation are assumed to be normal

Choice b cannot be the correct option because it is already inferred that only one baby was measured per mother.

Choice C cannot be also the best choice because it is already assumed.

Choice d is totally incorrect.

Answer:

452.16 inches²

Step-by-step explanation:

→ Write circle area formula

π × r²

→ Substitute in the numbers

3.14 × 12²

→ Simplify

452.16 inches²

Answer:

54

Step-by-step explanation:

First solve for brackets then multiplication or division then addition or subtraction

Answer: 52.

Step-by-step explanation: I don't know if you know about PEMDAS, but it basically stands for (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). So first, we would do Parenthesis. In the parenthesis, we have 3 + 4 - 1. Addition and Subtraction are the same, since they are inverse operations. We would start from left to right, so the addition goes first. 3 + 4 = 7. Now we are left with 7 - 1. 7 - 1 = 6. The equation so far is: 16/4 + 54 - 6. Next, we will do division. 16 ÷ 4 = 4. The equation so far is: 4 + 54 - 6. Now, we have to add 4 + 54 since we are doing it from left and right. 54 + 4 = 58. We are left with 58 - 6. 58 - 6 = 52. So your final answer is 52. Hope this helps!! :) **I tried my best**

[tex] - 7(6m + 2) = - 308 \\ ➪ \: - 42m - 14 = - 308 \\ ➪ \: - 42m \: = - 308 + 14 \\ ➪ \: m = \frac{ - 294}{ - 42} \\ ➪ \: m \: = 7[/tex]

[tex] - 7(6 \times 7 + 2) = - 308 \\ ➵ - \: 7(42 + 2) = - 308 \\ ➵ \: - 7 \times 44 = - 308 \\ ➵ \: - 308 = - 308[/tex]

➵ L. H. S. = R. H. S.

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Your answer is B

Step-by-step explanation:

If you use the division you technically can't use the distributive property, so it could be A. But if you had to use it; I would say the best way to do so it to multiply everything by 1.

Answer:

x=8

Step-by-step explanation:

80=3x+2(5x-12)

80=3x+2(5x)+2(-12)

80=3x+10x-24

80=13x-24

104=13x

x=104/13

x=8

If this helps please mark as brainliest

Answer:

[tex] \displaystyle m\angle JKM = 50[/tex]

Step-by-step explanation:

remember that,

if a side of a triangle expanded exterior so formed is equal to the sum of the two interior angles

so,

[tex] \displaystyle m\angle JKM = 25 + 25[/tex]

simplify addition:

[tex] \displaystyle m\angle JKM = 50[/tex]

Answer:

(3,6)

Step-by-step explanation:

Using the midpoint segment formula

M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]

Given (-2 -6) and (4,6) divided in the ratio 1:5

X = 1(-2) + 5(4)/1+5

X = -2+20/6

X = 18/6

X = 3

Similarly

Y = 1(-6)+ 5(6)/1+5

Y = -6+30/6

Y = 24/6

Y = 4

Hence the required coordinate of C is (3,6)

Answer:

Brainiest please

Step-by-step explanation:

In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.

Answer:

12 + 5X = Y

Step-by-step explanation:

Given that a video store charges $ 5 per game rental plus $ 12 to rent the game system, to write an expression for renting the game system and a number of games the following logical reasoning must be performed:

5 = variable not fixed, depends on the number of games

12 = fixed variable

X = number of games

Y = total value

12 + 5X = Y

Thus, if 5 video games were rented, the equation would operate as follows:

12 + 5x5 = Y

12 + 25 = Y

37 = Y

Answer:

Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.

Since in this question, we have selected one card from a deck, and is obtaining a 2 and a queen.

I think the answer for this would be No/False but if i'm wrong, tell me!

Answer:

3

Step-by-step explanation:

[tex]4x * x = 9 * 4[/tex]

[tex]4x^2 = 36[/tex]

[tex]x^2 = 9[/tex]

[tex]x = 3[/tex]

Answer:

968

Step-by-step explanation:

just substitute r for 8 and solve!

(-4r) (-30) - (-8) when r = 8

-4(8)×(-30)+8

-32 × -30 +8

960 + 8

968

Answer:

the answer should be 5 I guess

Answer:

60

Step-by-step explanation:

3x=3 multiplied by 2 which is 3x3=9

so, 9+(7x= 7x7=49) 49+3=61 rounded to 60

Answer:

5/8 Jar

Step-by-step explanation:

I took the test...

Answer:

54.5

Step-by-step explanation:

To find the median, first we have to put the numbers in ascending/increasing order.

43, 60, 50, 36, 58, 50, 73, 59, 69, 51 is your set

36, 43, 50, 50, 51, 58, 59, 60, 69, 73 is your set in order.

The median is the middle number of the data set. Your set has an even number of entries, so we have to average the 2 middle numbers, which are 51 and 58.

36, 43, 50, 50,     51, 58,         59, 60, 69, 73

51 + 58 = 109

109/2 = 54.5

that is right correct answer

Answer:

here,radius =2 in

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2in.)^2

=3.14*4in.^2

12.56in.^2

Step-by-step explanation:

Answer:

the output is n+5

Step-by-step explanation:

3+5

4+5

8+5

n+5

Answer:

7 percent or 11

Step-by-step explanation:

Answer:

[tex]P(x) = x^{2} -4x -4\\\\P(x=-3) = (-3)^2 - (4*-3) -4\\\\P(x=-3) = 9 + 12 -4 =17[/tex]

I'm still doing the rest but number 1 is D

Answer:

x = 48

Step-by-step explanation:

The two angles shown in the diagram are supplementary and add to 180° because they form a straight line. We can set up an equation:

x - 12 + 3x = 180

4x - 12 = 180

4x = 192

x = 48

Answer:

[tex]x=42[/tex] ✔︎

Step-by-step explanation:

∠1= 3x=3×42=126°

∠2=x-12=42-12= 30°

------------------------------

hope it helps...

have a great day!!

Answer:

7

Step-by-step explanation:

Makes both expressions exactly identical and equivalent in value.