All categories

2 years ago

Can someone help me on this

Mathematics

1 answer:

forsale [732]2 years ago

6 0

The answer can be found by squaring 6 which gives you 36 minus 30 because negative 5 times 6 is negative 30 so it would be 36-30-3 which is 3

You might be interested in

Simplify the surd 3√ 20 +√ 45

melisa1 [442]

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

3 0

2 years ago

Read 2 more answers

A car advertisement states that a certain car can accelerate from rest to 70 m/s in 7 seconds. Find the car's average accelerati

Contact [7]

Answer:

The average acceleration of the car will be 10 m/s.

Step-by-step explanation:

70 / 7 = 10 m/s.

5 0

3 years ago

9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9

gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

8 0

2 years ago

On a scale drawing, a bookshelf is 8 inches tall. The scale factor is 1/8. What is the height of the bookshelf?

lukranit [14]

8 inches = 1/8 of the real height of the book shelf
Multiply 8 by 8 because the question shows 1/8 of the book shelf
8x8=64
The book shelf is 64 inches.
Or 5 feet and 4 inches.

6 0

2 years ago

If the probability that 42 or fewer kids in a group of 57 like pizza is 79%, what is the probability that at least 43 kids in th

weqwewe [10]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers