8 less that the product of 2 and a number is 16. find the number

Mathematics

1 answer:

katrin2010 [14]2 years ago

7 0

Answer:

x=12

Step-by-step explanation:

2x-8=16(add a to both sides)

2x=24(divide by 2)

x=12

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Dakota and Christine went shopping. Dakota bought two scarves and one hat for $13 Christine bought one scarves and two hats for

White raven [17]

One scarf=s
One hat=h

2s+h=13
s+2h=14

h=13-2s
(plug that into the other equation)

s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4

One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9

5 0

2 years ago

Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information

MatroZZZ [7]

9514 1404 393

Answer:

B. Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

V = 1/3Bh

V = 1/3(4²)(9) = 48 . . . cubic units

The cylinder volume is ...

V = πr²h

V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

_____

Additional comment

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

7 0

2 years ago

For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr

pshichka [43]

Answer:

See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables $X_i$ with the following distribution:

$X_i Bin (1,p) = Be(p)$ bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this: