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olasank [31]
3 years ago
7

Turn this into a mathematical statement One-half a number (x) is equal to 14

Mathematics
2 answers:
sergey [27]3 years ago
3 0

One-half a number (x) is equal to 14.

One-half: 1/2

a number x: multiplied by x

is equal to: =

1/2x = 14

If you were going to solve for it, divide both sides by 1/2.

x = 28

USPshnik [31]3 years ago
3 0

the mathematical statement would be

1/2x=14

x=28

So the answer would be 28

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Is -7.245 rational or irrational
Zina [86]
Answer: Rational

Explanation: Integers are positive and negative whole numbers. However, we can also have positive and negative fractions and decimals. These positive and negative fractions and decimals are not members of the set of integers. They are rational numbers

Hope this helps!
8 0
3 years ago
worker a earns $7.90 per widget produced, produces 14 widgets per day, and works 10 hours per day. Worker b earns $9.00 per widg
Anni [7]
What are the statements 
3 0
3 years ago
The solution to the following system of linear equations lies in which quadrant? −2x + 3y = 8 4x + y = −2
sashaice [31]
First, let's find the solution.

-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3

4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1

y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.

The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
4 0
4 years ago
Antonio wants to invest $7600 in a saving account. Determine the interest rate (simple interest) required for Antonio’s investme
disa [49]
<h3>Interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum</h3>

<em><u>Solution:</u></em>

Given that,

Antonio wants to invest $7600 in a saving account

Antonio’s investment to double in value in 12 years

To find: Rate of interest

<em><u>The total amount using simple interest is given as:</u></em>

A = p(1+\frac{r}{100}t)

Where,

p is the principal

r is the rate of interest

t is the number of years

From given,

p = 7600

t = 12 years

r = ?

Antonio’s investment to double

Therefore,

A = 2(7600) = 15200

<em><u>Substituting the values we get,</u></em>

15200 = 7600(1 + \frac{r}{100} \times 12)\\\\\frac{15200}{7600} = 1 + 0.12r\\\\2 = 1 + 0.12r\\\\0.12r = 2 - 1\\\\0.12r = 1\\\\r = 8.333 \%

r \approx 8.3 \%

Thus interest rate required for Antonio’s investment to double in value in 12 years is 8.3 % per annum

7 0
4 years ago
The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 900 v
Aleks04 [339]

Answer:

P-value = 0.0367

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is significantly over 42%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.42\\\\H_a:\pi>0.42

The sample has a size n=900.

The sample proportion is p=0.45.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.42*0.58}{900}}\\\\\\ \sigma_p=\sqrt{0.000271}=0.016

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.45-0.42-0.5/900}{0.016}=\dfrac{0.029}{0.016}=1.79

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>1.79)=0.0367

4 0
3 years ago
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