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djverab [1.8K]
3 years ago
15

Two thirds plus a number plus 4 is 7

Mathematics
2 answers:
Reika [66]3 years ago
7 0
9/2 is the answer


7-4= 3
3times 3/2 is 9/2
Nitella [24]3 years ago
6 0

Answer:

The answer is \frac{7}{3}

Step-by-step explanation:

In order to determine the answer, we have to express the statement to a algebraic expression.

The "two thirds" means \frac{2}{3}.

Then "plus a number" means +x. "x" is the variable that we want to know its value.

Then "plus 4" means +4.

So, the algebraic expression is:

\frac{2}{3}+x+4=7

Then, we have to solve for "x". We free this variable in any side of the equation:

x=-\frac{2}{3}+7-4\\x=\frac{-2+9}{3}\\x=\frac{7}{3}\\

Finally, the "x" value is \frac{7}{3}

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Karla invests $300 compounded every 6 months at a rate of 10% for 3 years. At the end of three years, Karla will have $402.03 in
adell [148]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $300

r = 10% = 10/100 = 0.1

n = 2 because it was compounded 2 times in a year(6 months).

t = 3 years

Therefore,

A = 300(1 + 0.1/2)^2 × 3

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4 0
3 years ago
A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t
bearhunter [10]

Answer: A. ​(636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level :\alpha: 1-0.95=0.05

Critical value :z_{0.05}=1.96

Sample mean : \overline{x}=645\text{ hours}

Standard deviation : \sigma= 31\text{ hours}

The 95% confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)

Hence,  95% confidence interval for population mean is (636.9, 653.1).

8 0
3 years ago
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