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2 years ago

What is blank + 1/16 equals 3/2

Mathematics

2 answers:

inna [77]2 years ago

7 0

Answer:

1 and 7/16, or 23/16

Step-by-step explanation:

Find the common denominator, which is 16.

_____ + 1/16 = 24/16

subtract 1/16

______ = 24/16 - 1/16

______ = 23/16

1+7/16 = 23/16

Leokris [45]2 years ago

7 0

Answer:

1 7/16

Step-by-step explanation:

Let that blank be x

x + 1/16 =3/2

Then, find the common denominator:

3/2 - 1/16

LCM = 16

3/2 *8 = 24/16

24/16 - 1/16

Last, subtract:

23/16

1 7/16

Hope this helps!

mark brainliest if possible!

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Relationships between means, standard deviations, X values,and z-scores

Vlada [557]

Answer:

a) The average salary of firefighters in Portugal is $583.

b) The standard deviation of the salary of firefighters in Portugal is $319.8

Step-by-step explanation:

We are given the following in the question:

a) Standard Deviation, σ = $145.80

We are given that the distribution of salary of professor is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

A salary of $510.10 has a z-score of -0.50.

Putting values, we get,

$-0.50 = \displaystyle\frac{510.10-\mu}{145.80}\\\\\mu = 0.50(145.80) + 510.10\\\Rightarrow \mu = 583$

Thus, the average salary of firefighters in Portugal is $583.

b) Mean, μ = $2,132

We are given that the distribution of salary of computer programmers is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

The salary of $2,291.90 has a z-score of +0.50

Putting values, we get,

$0.50 = \displaystyle\frac{2291.90-2132}{\sigma}\\\\\sigma= \frac{2291.90-2132}{0.50}\\\\\sigma = 319.8$

Thus, the standard deviation of the salary of firefighters in Portugal is $319.8

6 0

4 years ago

In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.

scoundrel [369]

Answer:

m∠B = $97^{o}$ .

Step-by-step explanation:

Since the three sides of the triangle are given, then we apply cosine rule.

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

But, a = 660 cm, b = 680 cm, and c = 100 cm.

So that;

$680^{2}$ = $660^{2}$ + $100^{2}$ -2(660 x 100) Cos B

462400 = 435600 + 10000 - 132000 Cos B

462400 = 445600 - 132000 Cos B

132000 Cos B = 445600 - 462400

= -16800

Cos B = $\frac{-16800}{132000}$

= -0.1273

B = $Cos^{-1}$ -0.1273

= $97^{o}$

Thus, measure of ∠B is $97^{o}$ .

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3 years ago

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nasty-shy [4]

Answer:

Step-by-step explanation:

value of 4, and you want to square it or exponent 2

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=16

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