Complete the table of value s for 4x + y=20

Malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of

shtirl [24]

The probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5 is 0.0494.

<h3>What is a probability?</h3>

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Probability of an event P(E) = Number of favourable outcomes/Total number of outcomes.

Calculation for the given condition;

Either 1 or 3 must be present if a given integer is odd and smaller than 5.

The likelihood that it was picked from a set of nine numbers is (2/9).

The probability that the first integer is 1 is 50/50.

If it is and their combined number is less to 5, the second number will either be 1, 2, or 3.

The likelihood that it was picked out of the nine numbers is (3/9).

Additionally, there is a 50/50 probability that the first digit will be 3.

A second number is 1 if it is and the sum would be less than 5.

It was selected with a 1 in 9 chance of being one of the other 8 numbers.

The total probability is;

= (2/9) times [ (0.5 x 3/9) + (0.5 x 1/9) ]

= (2/9) times [ (1.5/9) + (0.5/9) ]

= (2/9) times [ 2/9 ] = 4/81

= 0.0494

Therefore, the probability that the sum of the two numbers malik picks is less than 5 is 0.0494.

To know more about probability, here

brainly.com/question/251701

#SPJ4

5 0

2 years ago

Read 2 more answers

Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan

Verdich [7]

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

To solve this, we will use the formula for loan payment:

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

Here,

P is the payment ; PV is the present debt; r is the interest rate; n is the number of payments per year; t is the time

Working for bank P:

PV = 19450

r = 5.8 or 0.058

t = 9

n = 12

Putting the values in the formula we get:

$P=\frac{\frac{0.058}{12}(19450) }{1-(1+\frac{0.058}{12} )^{-12*9} }$

Solving this we get:

P= $231.59

Dahlia's monthly payment is $231.59. So,her total payment for 9 years will be = $231.59\times9\times12=25011.72$

Finance charge will be = total future value minus loan amount plus service charge.

= $(25011.72-19450)+925$ = $6486.72

Hence, the total finance charge of bank P is $6,486.72

Working for bank Q:

PV = 19450

r = 5.5 or 0.055

t = 10

n = 12

Putting the values in the formula we get:

$P=\frac{\frac{0.055}{12}(19450) }{1-(1+\frac{0.055}{12} )^{-12*10} }$

Solving this we get:

P= $211.08

Dahlia's monthly payment is $231.59. So,her total payment for 10 years will be = $211.08\times10\times12=25329.60$

Finance charge will be = $(25329.60-19450)+690.85=6570.45$

Hence, the total finance charge of bank Q is $6570.45

Now we will find the difference between both bank's finance charges:

$6570.45-6486.72=83.73$ dollars

So, we can say that Loan Q’s finance charge will be $83.73 greater than Loan P’s.

4 0

3 years ago

Read 2 more answers

Perpendicular lines intersect to form four right angles.

Dennis_Churaev [7]

Perpendicular lines are lines that intersect and form a right angle ( Four of them).
So the answer is A. Always

6 0

3 years ago

Read 2 more answers

What is the missing leg length

Pavel [41]

Answer:

36 km

Step-by-step explanation:

This is a right triangle so we can use Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

27^2+ b^2 = 45^2

729+b^2 =2025

Subtract 729 from each side

729-729+b^2 =2025-729

b^2 =1296

Take the square root of each side

b =sqrt(1296)

b=36

7 0

3 years ago

Read 2 more answers

Jeremy and Caitlin collect baseball cards. The ratio of Jeremy's cards to Caitlin's cards was 9 to 3. After Jeremy gave 12 cards

Reptile [31]

Caitlin will have 18 and Jeremy will have 6 at first because then 18-6=12 which is how many cards Caitlin have to Jeremy

7 0

3 years ago