All categories

4 years ago

How many positive integers less that 50 have irrational square roots?

Mathematics

1 answer:

olga55 [171]4 years ago

8 0

It is easier to calculate how many integers are perfect squares and then subtract that number from 50.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

There are 7 numbers that have perfect squares, so there are 50 - 7 = 43 that have irrational square roots.

Answer: 43

You might be interested in

A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th

Burka [1]

Answer:

Confidence interval : $21.506$ to $24.493$

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = $\bar{x}=\frac{\sum x}{n}$

Sample mean = $\bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}$

Sample mean = $\bar{x}=23$

Sample standard deviation = $\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Sample standard deviation = $\sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}$

Sample standard deviation= s = $1.72$

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table $t_{\frac{\alpha}{2}$ = 3.883

Formula of confidence interval : $\bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}$

Substitute the values in the formula

Confidence interval : $23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $23 -3.883 \times \frac{1.72}{\sqrt{20}}$ to $23 + 3.883 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $21.506$ to $24.493$

Hence Confidence interval : $21.506$ to $24.493$

3 0

4 years ago

Read 2 more answers

Help me i actually need this asap...Only right answer ..No spammer.No wrong answer.

Leona [35]

$\sqrt[3]{8} \: - \sqrt{3}$

7 0

3 years ago

Read 2 more answers

What is the equation of a line that is perpendicular to the line y= -1/4x - 1 and passes through the point (3,7) ?

kenny6666 [7]

Answer:

hahah idont know

Step-by-step explanation:

8293894=2893849222

7 0

3 years ago

Mary has a pink dress, a blue dress, and a yellow dress. She has a black pair of shoes and a white pair. How many dress and shoe

Yanka [14]

There are two ways to solve this.
The first way is logically.
Mary can
-wear a pink dress with black shoes -wear a pink dress with white shoes
-wear a blue dress with black shoes -wear a blue dress with white shoes
-wear a yellow dress with black shoes - wear a yellow dress with white shoes

Count them up, and you'll get six combinations!

Another way is simply mathematically, which is easier in my opinion.

3 (different colored dresses) × 2 (different colored shoes) = 6 (combos)

8 0

3 years ago

Are 0.6600 and 0.66 equivalent decimals?<br> yes<br> no

malfutka [58]

Answer:

Yes.

Step-by-step explanation:

0.66 is 0.6600.

7 0

2 years ago

Read 2 more answers