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3 years ago

What is the distance between the point (10,12) and (-4,-36)

1 answer:

4 0

Well using distance formula

$d \: = \sqrt{(x {}^{2} } - x {}^{1} ) + (y {}^{2} + y {}^{1} )$
The answer I got was Distance = 45.9 what ever unit of measure it might ask for. Feel free to check my math just in case.

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- (A) The following data was received from the Student Affairs Unit of the University

ladessa [460]

Answer: i) 30 students for chemistry

ii) 21 students for only one subject

iii) 61 students

Step-by-step explanation: from the question we got 30 students registered for chemistry. number students only for biology = (27-18) = 9

number of students only for chemistry = (30-18) = 12

number of student registered for only one subject = (12+9)= 21

number of students registered for neither two subjects = {100-(9+12+18)} = 61

5 0

3 years ago

The function f(x) = 5(1.24)^x models the length (cm) of a lizard each week from the beginning of the lizards life. In the model,

Dmitry_Shevchenko [17]

A well-defined model will tell you what represents the number of weeks of growth. Here, we have to assume that ...

x represents the number of weeks of growth.

5 0

3 years ago

Read 2 more answers

Can someone help me and show me the work

adelina 88 [10]

You can't do anything because they aren't the same term

7 0

3 years ago

An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6

SIZIF [17.4K]

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......$

where, n = number trials (samples) taken = 6 trials

r = number of success = at least 4

p = probability of success which in our question is probability of

rolling a “six", i.e; p = 0.20

Let X = Number of sixes on a die

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = P(X = 4) + P(X = 5) + P(X = 6)

= $\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}$

= $15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}$

= 0.0154 + 0.00154 + 0.000064

= 0.01696

Therefore, probability of rolling at least 4 sixes is 0.01696.

8 0

3 years ago

Please help this is due today at 2pm Thanks!

Alja [10]

The formula for simple interest is:

A = P(1+rt)

Where P = amount borrowed

r = interest rate

t = time of loan

A = 5000(1 + 0.125*2)

A =6,250

The total amount she paid back was $6,250

For her monthly payment divide total paid back by 24 months ( 2 years = 24 months)

6250 / 24 = 260.42

Her monthly payment was $260.42

7 0

3 years ago