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Goryan [66]
3 years ago
5

\angle DAC=\angle BAD∠DAC=∠BADangle, D, A, C, equals, angle, B, A, D. What is the length of \overline{AC} AC start overline, A,

C, end overline? Round to one decimal place. Stuck
Mathematics
2 answers:
aniked [119]3 years ago
7 0

Answer: 5.9

Step-by-step explanation: Khan Academy

a_sh-v [17]3 years ago
6 0

Answer:

AC = 4.5 units

Step-by-step explanation:

Given question is incomplete without the figure; find the figure attached.

By applying angle bisector theorem in the given triangle ABC,

(Since, AD is the angle bisector of ∠BAC)

\frac{AC}{CD}=\frac{AB}{BD}

\frac{AC}{2.5}= \frac{6.8}{3.8}

AC = \frac{6.8\times 2.5}{3.8}

AC = 4.47

AC ≈ 4.5 units

Length of side AC in the given triangle = 4.5 units.

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The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1
evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193

The 98% confidence interval for the population mean is (2146, 2193).

3 0
3 years ago
How can I solve this?
elixir [45]

Answer:

x=8/21

Step-by-step explanation:

(3/4)/(2/7) = 1/x

(3/4)x = (2/7)

x = (2/7) / (3/4)

x = (2/7) * (4/3)

x = 8/21

3 0
3 years ago
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