In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

At the fall festival, a booth is selling $5 meals and $10 meals. They sell 1000 meals in all and collect $3500. Which system of

Tamiku [17]

The system of equation that can be used to represent the number of meals sold is

x + y = 1000

5x + 10y = 3,500

Given:

Number of $5 meals sold = x

Number of $10 meals sold = y

Total number of meals = 1000

Total amount of meals = $3,500

The equations:

Quantity

x + y = 1000

Price

5x + 10y = 3,500

Therefore, the system of equation that can be used to represent the number of meals sold is

x + y = 1000

x + y = 10005x + 10y = 3,500

Learn more about equation:

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5 0

2 years ago

Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence inte

Georgia [21]

Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as

$\alpha = 1-0.90$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the standardized normal distribution table. The values is $Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining critical values for $\frac{\alpha }{2}$ instead of that of $\alpha$ is because $\alpha$ represents the area under the normal curve where the confidence level 1 - $\alpha$ (90%) did not cover which include both the left and right tail while $\frac{\alpha }{2}$ is just considering the area of one tail which is what we required calculate the margin of error

Generally the margin of error is mathematically evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645* \frac{ 9 }{\sqrt{45} }$

$MOE = 2.207$

The 90% confidence level interval is mathematically represented as

$\= x - MOE < \mu < \= x + MOE$

substituting values

$16.9 - 2.207 < \mu < 16.9 + 2.207$

$14.7 < \mu < 19.1$

3 0

3 years ago

What is 20 divided by two

Tcecarenko [31]

First of all, this shouldn't be in high school category.
Second, 20 divided by 2 is 10. Dividing is like subtraction. You would subtract 20 by 2, and you would find that after 10 times, you will get to zero.

7 0

3 years ago

Read 2 more answers

Help and add a list thank you

ZanzabumX [31]

Answer:

Answers are given in the attachment

hope it'll help you!