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2 years ago

Divide 2 tonnes in the ratio 2:3.

Mathematics

1 answer:

Vaselesa [24]2 years ago

8 0

Answer:

0.8 : 1.2

Step-by-step explanation:

2/5 × 2= 0.8 Tonnes

3/5 ×2 = 1.2 tonnes

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What are the domain and range of the function f(x)= 3^x+5

rewona [7]

Answer:

Step-by-step explanation:

Domain:all real values

Range:[5,∞)

5 0

3 years ago

Evaluate m + n2 if we know m = 2 and n = –2.

Inessa05 [86]

m + n^2
= 2 + (-2)^2
= 2 + 4
= 6

answer is 6

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3 years ago

Suppose a random sample of 50 college students are asked to measure the length of their right foot in centimeters. A 95% confide

hichkok12 [17]

Answer:

A 99% confidence interval will be wider than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

The 95% confidence interval for for the mean foot length for students at the college is found to be 21.709 to 25.091 cm

Generally the width of a confidence interval is dependent on the margin of error.

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

From the above equation we see that

$E \ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Here $Z_{\frac{\alpha }{2} }$ is the critical value of the half of the level of significance and this value increase as the confidence level increase

Now if a 99% confidence level is used , it then means that the value of

$Z_{\frac{\alpha }{2} }$ will increase, this in turn will increase the margin of error and in turn this will increase the width of the confidence interval

Hence a 99% confidence interval will be wider than a 95% confidence interval

5 0

3 years ago

Identify the coefficient in the term 7 x2y3 .

Ivanshal [37]

7 x^2y^3

The coefficient is 7

7 0

3 years ago

6cos(20πt-π)+6√3cos(20πt-π\2)

juin [17]

Answer:

Answer is -6t

Step-by-step explanation:

${ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}$

Note that π is 180°

5 0

2 years ago