4y + 15 = 6y - 11 and 5p + 6 = 4p - 8

Explain how to solve

Answer:

f(t) = 5.4 + 0.3sin (2π/4.5t)

Step-by-step explanation:

See attachment

Answer:

135/512

Step-by-step explanation:

In a deck of card, there are 13clubs.

A deck of card contains 52cards

Total clubs = 13cards

Probability of selecting a club and replacing is expressed as P(C) = total number of clubs/total card

P(C) = 13/52 = 1/4

q = 1-p

q = 1-1/4

q =3/4

Let X be probability function used is a binomial distribution formula expressed as:

Since 5cards is drawn at random, n = 5

P(X = x) = nCx q^(n-x)p^x

P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x

The probability of the sequence is expressed as:

P(X = x) = 5Cx 3/4^(5-x)•(1/4)^x

x is the number of clubs present

b) To find the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck, we will substitute x = 2 into the probability function in (a) a shown;

P(X = 2) = 5C2•3/4^(5-2)•(1/4)^2

P(X = 2) = 5C2•3/4^(3)•(1/4)^2

P(X = 2) = 5C2•27/64•(1/16)

P(X = 2) = 5C2•27/1024

P(X = 2) = 5!/(5-2)!2!•27/1024

P(X = 2) = 5!/3!2!•9/1024

P(X = 2) = 5×4×3!/3!2•27/1024

P(X = 2) = 5×4/2•27/1024

P(X = 2) = 10•27/1024

P(X = 2) = 135/512

Hence the probability of getting exactly 2 clubs in a sequence of 5 cards drawn at random with replacement from a 52 card deck is 135/512

Answer:

1. This is an observational study.

2. The explanatory variable is A. red meat consumption

3. The response variable is B. Whether or not a subject dies.

Step-by-step explanation:

1. An observational study is a type of study where the researcher would observe the effects and he would also make no attempt to change the outcome

2. The explanatory variable is also called the independent variable and in this case it is red meat consumption because it is what would be used to predict the dependent variable

3. The response variable is known as the dependent variable it is our variable of interest. It is what the researcher is trying to find out. In this case the answer is whether or not the subject dies

Answer: Mary potted 27 plants.

Step-by-step explanation:

Answer:

y=1/8x + 15

Step-by-step explanation:

y=1/8x+15 because 1/8 hours and add 15

Answer: m = -3/2

Step-by-step explanation: In algebra, we use the word slope

to describe how steep a line is and slope can be found using

the ratio rise/run between any two points that are on that line.

Let's start from the point (0, 0).

From this point, we go down 3 units and to the right 2 units.

So our rise is -3 and our run is 2.

So our slope or rise/run is -3/2.

The variable that's used to represent slope is m.

So we say that m = -3/2

Answer:

-3/2

Step-by-step explanation: Rise 3 from the first (lower) dot then run 2 to the higher dot. Its negative because it is going down from left to right.

Answer:

The answer is 1 4 and the last one

Step-by-step explanation:

Answer:

Translation And Rotation I believe!

Step-by-step explanation:

Answer:

Step-by-step explanation:

regular working hours = 40

excess is to be paid = 1.5 times the rate

rate = $ 12/hour

Alicia worked:

8 hours Mon to Fri   =  8 x 5 = 40 hours x $12 per hour =  $ 480

2 hours Sat                            = 2 hours x ($12 x 1.5)        =  $ 36

4 hours Sun                           = 4 hours x ($12 x 1.5)       =  $ 72  

                                                                           total       = $ 588

[tex](x - 13)(x + 3) \\ = x {}^{2} + 3x - 13x - 39 \\ = x {}^{2} - 10x - 39 [/tex]

Answer: 9/16

Explanation: When dividing by a fraction, we can change

the division sign to multiplication and flip the second fraction.

So 3/8 ÷ 2/3 means the same thing as 3/8 · 3/2.

So when dividing by a fraction, we can just multiply

by the reciprocal of that fraction or that fraction flipped.

Now multiplying across the numerators and denominators, we have 9/16.

Since 9/16 is in lowest-terms, it's or final answer.

Answer: YES

Step-by-step explanation:

Answer:

the corrects answer is -3

Step-by-step explanation:

Answer:

The answer is

[tex] \huge \boxed{y = 3x - 10}[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (2, 4) and the slope is 3

The equation of the line is

[tex]y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4[/tex]

We have the final answer as

[tex]y = 3x - 10[/tex]

Hope this helps you

Answer:

The decision rule is  

Reject the null hypothesis

The conclusion

There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee.

The p-value  is  [tex]p-value  = 0.03682 [/tex]

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_ 1 = 50[/tex]

   The first sample mean is [tex]\=x_1  =  3.84[/tex]

The first sample standard deviation is  [tex]s_1  = 1.26[/tex]

    The second sample size is  [tex]n_2  =  40[/tex]      

   The second  sample mean is   [tex]\=x_2  =  3.35 [/tex]

    The second sample standard deviation is [tex]s_2  =  1.36[/tex]

    The level of significance is  [tex]\alpha =  0.05[/tex]

The  null hypothesis is  [tex]H_o  :  \mu_1  = \mu_2[/tex]

The alternative hypothesis is  [tex]H_a  :  \mu_1  >  \mu_2[/tex]

Generally the test hypothesis is mathematically represented as

 [tex]t =  \frac{( \= x_1 - \= x_2 ) - 0}{ \sqrt{ \frac{s^2_1 }{n_1}  + \frac{s^2_2}{n_2} } }[/tex]

=>  [tex]t =  \frac{( 3.84 - 3.35  ) - 0}{ \sqrt{ \frac{1.26^2 }{50}  + \frac{1.36^2}{40} } }[/tex]

=>   [tex]   t =  1.789  [/tex]      

Generally the p-value is mathematically represented as

      [tex]p-value  =  P(t > 1.789)[/tex]

From the z table  

    [tex]\Phi (1.789) =  0.03682[/tex]

So

   [tex]p-value  =  P(t > 1.789) =  0.03682 [/tex]

From the value obtained we see that [tex]p-value < \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion

There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee

Answer:

Step-by-step explanation:

2.66

Answer:

3w-4 = 68

Hope this helped!

Answer:

504 Miles per day

8,568 / 17 = 504

Step-by-step explanation:

Answer:

35/5 and 60/30

Step-by-step explaning

i got it right on enginuity

Answer:

35/5 and 60/30

Answer:

24

Step-by-step explanation:

For example, the ordered pair x + 6y = 4 answer is 24

The required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Given equation,
x + 6y = 4,

In order to determine the ordered pair for the given equation, we must assign the value of the one variable, so the satisfied value of the other value of the independent variable will be determined, and the pair will be said to be the required ordered pair.

Now,
Put x = 1
1 + 6y = 4
y = 4 -1 / 6
y = 1/2

Thus, the required ordered pair is the solution of the equation x + 6y = 4 is (1, 1/2).

Learn more about equations here:

brainly.com/question/10413253

#SPJ5

Answer:

2.75

hope you get a 100!!

Answer:

(1,4) and (0,-1)

Answer:

interest rate= 4.5%

Step-by-step explanation:

steve paid back=7945

loan------------------7000

total interest for 3 years=945

for one year-----------------=315

rate of interest= (315 X 100)/7000= 4.5%

Answer:

36

Step-by-step explanation:

half of 8 is 4 so half of 24 is 12 and 12 plus 24 is 36

Answer:

$36

Step-by-step explanation:

First divide the $24 to find how much each tennis ball costs.

24 / 8 = 3

Then multiply 3 (the cost per tennis ball) by 12 (the amount of tennis balls)

3 x 12 = 36

36 is your answer

I have attached the graph

Answer:

600

Step-by-step explanation:

Step-by-step explanation:

6 goes in ones or the green

3 goes in tenths or the yellow

2 goes in hundreths or the purple

4 goes in thousands or the orange

Answer: 6 goes in the ones then the 3 goes tenths 2 in hundredths and 4 in the thousands

eight hundredths six tens three ones decimal one tenths four hundredths one thousand

Step-by-step explanation:

Answer:

I solved it and my answer is 43

Step-by-step explanation:

25×{8- (7)} +18

25 (1) +18

25×1=25

25+18=

43