All categories

2 years ago

What is 3.5% as a fraction and decimal

Mathematics

1 answer:

Ede4ka [16]2 years ago

7 0

Answer:

1. 3.5% is 35/1000 as a fraction and 0.035 as a decimal.

2. 2.31 is 231% and 231/100

3. 23/25 is 92% and 0.92

4. 33% is 33/100 and 0.33

Step-by-step explanation:

For converting from fraction to decimal, simply divide the top by the bottom.

For converting from decimal to fraction, depending on how many places there are, you choose what to divide by. Ex: .002 (there are 3 places, it is divided by 1,000)

For fraction to percent, you divide the top by the bottom, make it a decimal, and move the decimal over two places to the RIGHT.

For percent to decimal, you move the decimal over two places to the LEFT.

You might be interested in

35. In a simple random sample of 25 high school students, the sample mean of the SAT scores was 1450, and the sample variance wa

Tatiana [17]

Answer:

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

Step-by-step explanation:

Information provided

$\bar X=1450$ represent the sample mean for the SAT scores

$\mu$ population mean (variable of interest)

$s^2 = 900$ represent the sample variance given

n=25 represent the sample size

Solution

The confidence interval for the true mean is given by :

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The sample deviation would be $s=\sqrt{900}= 30$

The degrees of freedom are given by:

$df=n-1=2-25=24$

The Confidence is 0.954 or 95.4%, the value of $\alpha=0.046$ and $\alpha/2 =0.023$ , assuming that we can use the normal distribution in order to find the quantile the critical value would be $z_{\alpha/2} \approx 2.0$

The confidence interval would be

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

3 0

3 years ago

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.