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3 years ago

What is the value of x?

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

35+70 = 105
180-105 = 75
x = 75

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Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

Slav-nsk [51]

Answer:

-0.6309

Step-by-step explanation:

Using the change of base formula,

Log 1/2 to base 3 = Log1/2 ÷ Log 3 = Log 0.5 ÷ Log 3

Log 0.5 = -0.3010

Log3 = 0.4771

Log 0.5 ÷ Log 3 = -0.3010 ÷ 0.4771 = -0.6309

5 0

4 years ago

Right triangle ABC has three sides with lengths AB= 119, BC = 169, CA= 120. Find the value of cos C. hint: draw and label the tr

GenaCL600 [577]

Answer:

$\cos(C)=\frac{120}{169}$

Step-by-step explanation:

The triangle is shown in the attachment.

Recall that;

$\cos(C)=\frac{Adjacent}{Hypotenuse}$

This implies that;

$\cos(C)=\frac{|AC|}{|BC|}$

We substitute the values into the ratio to obtain

$\cos(C)=\frac{120}{169}$

8 0

3 years ago

a company rents out 18 food booths at the county fair. The fee for a food booth is $175 plus $7 per day. The fee for a game boot

aliya0001 [1]

Answer:

18 food booths initial costs are $(3,150 + 7d)

Step-by-step explanation:

8 0

3 years ago

Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1964.4}{20} = 98.22$

Sum of squares of differences = 16.152

$s = \sqrt{\dfrac{16.152}{49}} = 0.922$

Population mean, μ = 98.6

Sample mean, $\bar{x}$ = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98.6\\H_A: \mu < 98.6$

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432$

The t-score is -1.8432

7 0

3 years ago

What is the value of x?<br> 2 - 1/6 = 8<br> Enter your answer in the box in simplest form.<br> x=

grin007 [14]

Answer: x=49/6 is the answer

6 0

3 years ago