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3 years ago

14

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 3 log 2x = 4

1 answer:

ch4aika [34]3 years ago

7 0

3 log 2x = 4

==> log 2x = 4/3

==> 2x = 10^(4/3)

==> x = \frac{10^(4/3)}{2}

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Suppose the FAA weighed a random sample of 20 airline passengers during the summer and found their weights to have a sample mean

Orlov [11]

Answer:

Step-by-step explanation:

Given Parameters

Mean, $x$ = 180

total samples, n = 20

Standard dev, $\sigma$ = 30

$\alpha$ = 1 - 0.95 = 0.05 at 95% confidence level

Df = n - 1 = 20 - 1 = 19

Critical Value, $t_\alpha$ , is given by

$t_{c}=t_{\alpha, df} = t_{0.05,19} = 1.729$

a).

Confidence Interval, $\mu$ , is given by the formula

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

$\mu = 180 +/- 1.729 \times \frac{30}{\sqrt{20} }$

$\mu = 180 +/-11.5985$

$191.5985 > \mu > 168.4015$

b).

Critical Value, $t_{\alpha/2}$ , is given by

$t_{c}=t_{\alpha/2, df} = t_{0.05/2,19} = 2.093$

Confidence Interval, $\mu$ , is given by

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

$\mu = 180 +/- 2.093 \times \frac{30}{\sqrt{20} }$

= 180 +/- 14.0403

= 165.9597 < $\mu$ < 194.0403

8 0

3 years ago

3x+4y=2 4x-4y=12 by using elimination

Sidana [21]

(+3x+4y=2)
(+4x-4y=12)
-----------------
7x = 14
-----------------
7
X=2

3(2)+4y=2
6+4y=2
4y=-4
Y=-1.
Or you can plug x into the other equation.

4(2)-4y=12
8-4y=12
-4y=4
Y=-1.

8 0

4 years ago

What is 3 1/8 + 3/4 + (-2 1/6) =

Korvikt [17]

Answer: ≅ 1.708333

Sorry I made a mistake before But now it's correct :)

Step-by-step explanation:

* Hopefully this helps:) Mark me the Brainliest:)!!!

3 0

3 years ago

Read 2 more answers

HELP pls again.....<br><br>

True [87]

Answer:

The choice C 31

Step-by-step explanation:

$\frac{21}{x} = \frac{105}{155} \\ 105x = 21 \times 155 \\ 105x = 3255 \\ \\ x = \frac{3255}{105} \\ \\ x = 31$

7 0

3 years ago

Read 2 more answers

Find the arc length of the partial circle..

Gala2k [10]

Answer:

The arc length of the partial circle is $6\pi\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

In this problem we have a 3/4 of a circle

so

the circumference is equal to

$C=(\frac{3}{4})2\pi r$

$C=\frac{3}{2}\pi r$

we have

$r=4\ units$

substitute

$C=\frac{3}{2}\pi (4)$

$C=6\pi\ units$

5 0

4 years ago