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3 years ago

The complement of angle A is 42°. What is the measure of angle A?

Mathematics

1 answer:

Genrish500 [490]3 years ago

4 0

Answer:

48 degrees

Step-by-step explanation:

90-42=48

48 degrees

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Two consecutive whole number that lies between the square root of 38

Semenov [28]

√38

Let's name all the squares.
1² = 1 x 1 = 1
2² = 2 x 2 = 4
3² = 3 x 3 = 9
4² = 4 x 4 = 16
5² = 5 x 5 = 25
6² = 6 x 6 = 36
7² = 7 x 7 = 49
8² = 8 x 8 = 64

Okay that's far enough. Now we look for which numbers 38 is in between.
That would be 36 and 49.
But it's asking for where the square root of 38 is, so √36 and √49 ⇒ 6 and 7.

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4 years ago

A farmer collects 8 bushels of apples. Each bushel contains 126 apples. If she sells 2 and 1/2 bushels to a local store, how man

Vaselesa [24]

The farmer has 819 apples left

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3 years ago

Read 2 more answers

2(5+3x)+(x+10) simplified

Alex73 [517]

The simplified expression is 7x+20

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3 years ago

Please answer quickly

notka56 [123]

Answer:

$\frac{16}{3}$

Step-by-step explanation:

To evaluate substitute x = - $\frac{1}{2}$ into f(x)

f( - $\frac{1}{2}$ )

= - $\frac{2}{3}$ × - $\frac{1}{2}$ + 5

= $\frac{1}{3}$ + 5

= $\frac{1}{3}$ + $\frac{15}{3}$ = $\frac{16}{3}$

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3 years ago

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

4 years ago

The complement of angle A is 42°. What is the measure of angle A? ​

The complement of angle A is 42°. What is the measure of angle A?