All categories

3 years ago

2(t+1)=10 t= ? ............................................

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

Step-by-step explanation:

2x5=10

5-1=4

2(4+1)=10

You might be interested in

Tell whether x=6 is a solution of x−1 ≤ 7.

MrRa [10]

Answer:

x = 6 is a solution of x - 1 $\leq$ 7.

Step-by-step explanation:

First, plug in x = 6 into the inequality.

x - 1 $\leq$ 7 for x = 6

6 - 1 $\leq$ 7

Now, solve.

6 - 1 = 5

5 $\leq$ 7

The statement above is true, so x = 6 is a solution to x - 1 $\leq$ 7.

Please inform me of any mistakes.

3 0

2 years ago

Read 2 more answers

$1600 at 8% compounded continuously for 7 years

Yuki888 [10]

<u>Answer: </u>

The amount is $2,742.118

<u>Explanation:</u>

Given the principal amount (P) is $1600

Rate of interest (r) = 8 years

Time (n) = 7 years

Compound interest is calculated by the formula,

$A=P\left(1+\frac{r}{100}\right)^{n}$

Substituting the values,

$A=1600(1+\frac{8}{100})^{7}$

$A=1600 \times \left(\frac{108}{100}\right)^{7}$

A = $2,742.118

Therefore, the amount is $2,742.118

4 0

3 years ago

Create the pattern with the rule n×2+1.

Yuki888 [10]

Answer:

3,5,7,9,11

Step-by-step explanation:

You would put the whole numbers in order as n and solve

1. 1*2+1 = 3

2. 2*2+1 = 5

3. 3*2+1 = 7

4. 4*2+1 = 9

5. 5*2+1 = 11

You would notice that the numbers are odd numbers in order

3 0

3 years ago

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

5 0

3 years ago

How many side does the polygon have?

Mariana [72]

We can do it with the equation written; we'll try that next. I find it easier to remember the exterior angles, which are the supplements of the interior angles, add to 360 degrees.

The exterior angle is 180 - 144 = 36 degrees. n = 360/36 = 10

Answer: 10 sides

Let's try it your way now.

$\dfrac{180(n-2)}{n} = 144$

$180n-360 = 144 n$

$36n = 360$

$n = 10 \qquad\checkmark$

8 0

3 years ago