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3 years ago

If 3x-8=-2,find the value of x-6

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

I believe the answer is -8

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Find sec theta if theta is in quadrant 4 and sin theta= -1/5

lara31 [8.8K]

Answer:

$\frac{5}{2\sqrt{6} }$

Step-by-step explanation:

Since Θ is in fourth quadrant then cosΘ > 0, as is secΘ

Given

sinΘ = - $\frac{1}{5}$ , then

cosΘ = $\sqrt{1-(-1/5)^2}$

= $\sqrt{1-\frac{1}{25} }$ = $\sqrt{\frac{24}{25} }$ = $\frac{2\sqrt{6} }{5}$

Hence

secΘ = $\frac{1}{\frac{2\sqrt{6} }{5} }$ = $\frac{5}{2\sqrt{6} }$

5 0

3 years ago

Read 2 more answers

What are the solutions of the system 7x + 3y=-3 and y= -2*?

mafiozo [28]

Answer:

opt 4

Step-by-step explanation:

when x=0, 0+3y= -3, so y=-1 (0,-1) is solution

when x=3 , 21+3y=-3, 3y= -3-21= -24

y= -8 (3,-8) is also solution

8 0

3 years ago

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i

Pavlova-9 [17]

Answer:

$\bar X = \frac{Lower +Upper}{2}$

$\bar X= \frac{1.9+3.3}{2}= 2.6$

And the margin of error with this one:

$\bar X = \frac{Upper-Lower}{2}$

$ME = \frac{3.3-1.9}{2}= 0.7$

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean $\mu$ . And we can estimate this parameter with a confidence interval given by this formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

$\bar X = \frac{Lower +Upper}{2}$

$\bar X= \frac{1.9+3.3}{2}= 2.6$

And the margin of error with this one:

$\bar X = \frac{Upper-Lower}{2}$

$ME = \frac{3.3-1.9}{2}= 0.7$

7 0

3 years ago

75% of what number is 42?

Anna35 [415]

75 42
----- -----
100 x

75 x= 4200
--- ------
75 75

x = 56

6 0

3 years ago

Read 2 more answers

What is the order pair for y=1/3x

IRISSAK [1]

Answer:

Step-by-step explanation:

y is always (1/3) of x.

Thus, if x = 0, y = 0; if x = 1, y = (1/3)(1) = 1/3, and so on. The corresponding ordered pairs are (0, 0), (1, 1/3), (-2, -2/3)

5 0

2 years ago