In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.

Answer:0.0499

Step-by-step explanation:

Let x be a random variable that represents the salary for a data scientist.

Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]

standard deviation [tex]\sigma=\$10503[/tex]

Sample size : n= 31

The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]

Hence, the required probability = 0.0499.

Answer:

$6.78

Step-by-step explanation:

Add $10 +$6 +$2.75+$3+$5+$10+$10+$4+$12+$5 =$67.75

Now divide $67.75 by 10 which is the number of values you added up

$67.75/ 10 = 6.775

Now round to nearest cent = $6.78

Answer:

0

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

hope this helped,brainliest?

Answer:

71 I THINK

Step-by-step explanation:

since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer

Step-by-step explanation:

Inverse of p matrix is in picture

i wish it will make u easy to do♥️✌️

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

Answer:999

Step-by-step explanation:11x9=999

Answer: 39x-45=15x-24

Step-by-step explanation:

Do inside brackets first then simplify

Answer:

its 2u^2-4u+5u-12

Step-by-step explanation:

Answer:

i) 60 trees

ii) 3600 apples

Step-by-step explanation:

50 trees per acre

Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds

Assumption :

lets assume the additional tree = X

Therefore the number of trees planted per acre = ( 50 + x )  where x ≤ 30

calculate average yield per tree =   ( 70 - x )

Total yield per acre = number of trees * average yield per tree

                                 = ( 50 + x ) * ( 70 - x )

                           Y(x)   =  3500 + 20x - x^2

i) Number of trees that should be planted per acre to obtain maximum yield per acre

y'(x) = 20 - 2x = 0   hence X ( number of additional trees ) = 20 / 2 = 10

Number of trees that should be planted per acre = 50 + 10 = 60 trees

ii) Calculate maximum yield

where ; X = 10

number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60

hence maximum yield  = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples

Answer:

1) y=4x+5,  2) y=-2x+2,  3)y= 4/3x+4

Step-by-step explanation:

1) y=4x+5

2) y=-2x+c

-4= -2(3)+c

-4=-6+c

+6      +6

2=c

y=-2x+2

3) 4-0/0--3

4/3= gradient

y= 4/3x+c

4= 4/3(0)+c

4=0+c

4=c

y= 4/3x+4

A growth mindset is an idea that people are born with certain characteristics and can't change. A growth mindset allows a person to believe they can change themselves, and that abilities and intelligence can be developed over time. A growth mindset helps you learn that mistakes are stepping stones and that you aren't defined as some characteristic (like "dumb").

Answer:

a. 17.80 b. 71.20

Step-by-step explanation:

I used to hate percents. Let me teach you a trick:

take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)

any other follow up questions? Just ask :)

Answer:

5 snack packs and 1 ticket.

Step-by-step explanation:

Do YoU kNoW dA wAe?

Answer:

some tips

Step-by-step explanation:

- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.

Answer:

x=x

Step-by-step explanation:

Answer:

2 then the square root of 7 then 9.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

√7,2,9.5

√7=2.645

So

Order the numbers from least to greatest is

2,√7,9.5 is the answer

Answer:

Step-by-step explanation:

Not wanting to be trite, i'd still suggest that you use a calculator for routine division.  Round off your answer (quotient) to an appropriate number of decimal places.

For example, 2/3 comes out to 0.66666 ... (repeating decimal).  You might want to round this off to 2 decimal places: 0.67.

The old fashioned "long division" is another method.

       0  .  6

    -----------

3  /   2  .  0   0   0

       0.    0  0    0

   ---------------------

        1.     8

and so on.  You still need to round off the quotient to a suitable number of decimal places.

Answer:

A.

Step-by-step explanation:

Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.

Answer:

A)  4[tex]\sqrt15\\[/tex]

Step-by-step explanation:

Start by factoring 240 to its prime factors

√240 = √10 · 24 =√2·5·2·2·2·3

look for pairs of numbers.  There are 2 pairs of 2s, so take those out of the radical

=  2·2√5·3

=  4√15

Answer:

a = 4

Step-by-step explanation: Given that

ar=2 where a is the first term and is the common ratio.

ar=2 ............1

Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.

a/1-r = 8 ......... 2

From equation 1 make r the subject

ar=2

r= 2/a...........3

Put equation 3 into 2

a/1-2/a =8

a÷1-2/a

a = 8(1-2/a)

a= 8/1-16/a

a/1= 8a-16

a^2= 8a-16

Rewriting the above equation

a^2-8a+16=0

This will eventually be

a^2-8a+16=0

(a-4)^2= 0

a =4

Answer: +3, -3

Step-by-step explanation:

ok so all you need to do is plug in that first equation into the second one.

x(5x) = 45

5x^2 = 45

x^2 = 9

x     = +3, -3

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation:

Answer:

2 lesson with a remainer of $30

Step-by-step explanation:

$15 + $30 = $45

$45 multipled by 3 would equal 135 witch is $15 over ,

but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)

A. in a linear equation in x and y x is indepdendt so y depends on it

Answer:

wouldnt it be (6,-1)...

Step-by-step explanation:

because those are the cords your said c was at