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3 years ago

Y < 2x + 9 solid or dotted line

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer:

dotted

Step-by-step explanation:

when there is a line underneath the less than or equal to sign, it is solid, when there is not a line it is dotted.

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If 5/6 < 1/2x - 1/2y < 3/2 , then what is one possible value of x-y ?

maks197457 [2]

Answer:321

Step-by-step explanation:

8 0

3 years ago

The darnells are having a swimming pool installed. the pool has a radius of 14 feet and a height of 4 feet. what is the volume o

Drupady [299]

Answer: 2461.76 cubic feet

Step-by-step explanation:

$V=\pi r^{2} h\\\\V=(\pi)(14^{2})(4)\\\\V\approx (3.14)(14^{2})(4)=\boxed{2461.76}$

8 0

2 years ago

if the roots of the equations(given in the picture as question no. 3) are simultaneously real then prove that b2=ac

makkiz [27]

Hi,
1) ax²+2bx+c=0 have real roots then (2b)²-4ac>=0 ==> 4b²>=4ac ==> b²>=ac
2) bx²-2√(ac)x+b=0 have real roots then
(-2√(ac))²-4b²>=0==> 4ac>=4b²==> ac>=b²
So b²>=ac>=b²==> b²=ac

8 0

3 years ago

If interest is compounded every 3 months, how often is it compounded?

Mamont248 [21]

Answer:

c. quarterly

Step-by-step explanation:

To start with 1 year is equal to twelve months

3months out of 12 months will be;

3/12= 1/4

Here it is compounded quarterly and n=4 where n is the number of compoundings a year.

Lets study the compound interest formula;

$A=P(1+\frac{r}{n} )^{nt}$

where;

A=The ending amount

P=Starting amount

r=rate of interest expressed as a decimal

n=number of compoundings a year

t=total number of years

The number of compoundings in any one year can be an interest compounded yearly where n=1, semi-annually with n=2, quarterly where n=4, monthly where n=12, weekly and n=52 and finaly daily with n=365.

7 0

4 years ago

Sawyer conducted an experiment in which he rolled a number cube 50 times. He rolled the number 3 a total of seven times. Based o

lawyer [7]

If the number of trials is 50. Then the probability that he will not roll a 3 on his next roll will be 0.20 or 20 %.

<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The probability that out of n trials, there'd be x successes is given by

P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ

Sawyer conducted an experiment in which he rolled a number cube 50 times. He rolled the number 3 a total of seven times.

Then the probability that he will not roll a 3 on his next roll will be

p = 1/6 = 0.1667

q = 1 - p = 1 - 1/6 = 0.8333

Then the probability will be

P = ⁵⁰C₇ (0.8333)⁴¹ (0.1667)⁷

P = 0.20

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

7 0

2 years ago

Y < 2x + 9 solid or dotted line​

Y < 2x + 9 solid or dotted line