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3 years ago

Graph the solution to y< = 1/5x+2

Mathematics

1 answer:

faust18 [17]3 years ago

5 0

Answer:

FDFDD

Step-by-step explanation:

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The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c? 4 cm 8 cm 16 cm 32 cm

disa [49]

Answer:

16 cm

Step-by-step explanation:

Given : The area of triangle ABC is 24 square centimeters.

To Find: If B = 30° and a = 6 cm, what is the measure of side c?

Solution:

Formula : $Area = \frac{1}{2} \times a \times c \times sin B$

a = 6

Area = 24

B = 30°

Substitute the values in the formula

$24 = \frac{1}{2} \times 6 \times c \times sin 30$

$24 = \frac{1}{2} \times 6 \times c \times \frac{1}{2}$

$24 =3 \times c \times \frac{1}{2}$

$\frac{24 \times 2}{3} =c$

$16=c$

Hence the measure of side c is 16 cm

So, Option c is correct.

4 0

3 years ago

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri

eimsori [14]

Answer:

$P(|\bar{x}-40| > 0.6)=0.5404$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

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

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801$

P(sample mean would differ by true mean by more than 0.6)

$P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4$

$P(39.4 \leq x \leq 40.6) \\\\= P(\displaystyle\frac{39.4 - 40}{0.9801} \leq z \leq \displaystyle\frac{40.6-40}{0.9801})\\\\ = P(-0.6121 \leq z \leq 0.6121)\\= P(z \leq 0.6121) - P(z < -0.6121)\\= 0.7298 - 0.2702 =0.4596$

$P(|\bar{x}|-40 > 0.6)\\= 1-0.4596=0.5404$

0.5404 is the required probability.

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3 years ago

Can anyone explain me step two (in red)? Thanks in advance.

larisa86 [58]

Answer:

umm

Step-by-step explanation:

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3 years ago

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Scrat [10]

Step-by-step explanation:

y = 28

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