All categories

3 years ago

Write a numerical expression.Then write words to match the expression

Mathematics

2 answers:

ehidna [41]3 years ago

8 0

3(6+4)=30
Three times the sum of six plus four equals thirty

tankabanditka [31]3 years ago

3 0

3(6+4)=30

Three times six is eighteen,
Three times four is sixteen,
then I added eighteen plus sixteen (18+16)
The final answer is thirty

You might be interested in

Let X equal the number of flips of a fair coin that are required to observe

Nataliya [291]

Answer:

(a) I attached a photo with the diagram.

(b) $f(x) = \big( \frac{1}{2} \big)^{x-1}$

(d) 4

(e) $k^2/2$

Step-by-step explanation:

(a) I attached a photo with the diagram.

(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.

To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.

1 - Your first outcome is HEADS and all the others are different except the last one.

2 - Your first outcome is TAILS and all the others are different except the last one.

Therefore the probability of the event is

$f(x) = P(X=x) = \frac{2}{2^x} = \frac{1}{2^{x-1}} = \big( \frac{1}{2} \big)^{x-1}$

(c)

P(X = 0) = 0 because it is not possible to have two consecutive tails or heads.

$E(X > 4) = 1 - P(X \leq 3) = 1 - ( P(X = 0 ) + P(X = 1) + P(X = 2) + P(X = 3))\\= 1 - ( \frac{1}{2} + \frac{1}{4} ) = \frac{1}{4}$

(d)

Remember that this is a geometric distribution therefore

$E[X] = p/(1-p)$ , in this case $p = 1/2$ so $E[X] = 1$ and

$E[X+1]^2 = ( E[X] +1 )^2 = (1+1)^2 = 2^2 = 4$

Also

(e)

This is a geometric distribution so its variance is

$Var(X) = \frac{1-p}{p^2} = 1/2 / 1/4 = 1/2$

And using properties of variance

$Var(kX - k ) = Var(kX) = k^2 var(X) = k^2 /2$

3 0

4 years ago

1.4t-0.4(t-3.1)=5.8 please help !!

Svetllana [295]

Okay so i cant just post what the answer is i have to type something.
but anyways this is the answer: t= 4.56

4 0

4 years ago

the graph below shows the amount of money left in the schools desk fund,f, after d desk have been sold

Keith_Richards [23]

If you have a question to ask, you can ask it after you show us the graph.

6 0

3 years ago

1 5/8 divided by 3/8? Show your work pls.

Dafna1 [17]

Change mixed fraction to improper fraction and also the second fraction has to be reciprocal

Ex- 3/8= 8/3

So now the problem is

13/8*8/3= 13/3 (because you cross divide) Now, turn into fraction

Divide

13 divided by 3= 4 1/3

So your final answer is 4 1/3

7 0

3 years ago

Read 2 more answers

Joe is taking out a five year loan with a 7% interest rate compounded quarterly to buy a $4000 car. What will he have paid in to

Sergio [31]

Answer:

$5659.11

Step-by-step explanation:

We are given;

Time of loan maturity is 5 years
Rate of compound interest is 7% compounded quarterly
Principal amount of the car is $4000

We are required to determine the total amount he paid at the end of 5 years..

The concept being tested is compound interest;

We are going to use the compound interest formula;

Amount = P(1+r/100)^n

Where P is the the principal amount

r is the rate of interest

n is the interest periods

In this case;

n = (5 × 4) = 20

r = 7 ÷ 4 = 1.75 ( as the money was compounded quarterly)

Thus;

Amount =$ 4000 ( 1 + 1.75)^20

= $4000 (1.0175)^20

= $5659.11

Therefore, the money that Joe will have paid at the end of 5 years is $5659.11

6 0

4 years ago