All categories

3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

Maslowich3 years ago

8 0

As QS bisects <RQT into 2 congruent triangles

therefore, <RQS = <SQT

4x-25= 2x+5

2x= 30

x= 15

<RQS = 4x-25

= 4(15) -25

=60-25

= 35

You might be interested in

If it takes 10 minutes for the ingredients to properly mix two minutes for the pills to travel down the bill today I have in sev

arsen [322]

Complete question is;

If it takes 10 minutes for the ingredients to be properly mixed, 2 minutes for the pills to travel down the belt to the oven, 7 Minutes in the oven and another 3 minutes down the belt to the drum how many total minutes does it take for the pills to arrive at the drum

Answer:

22 minutes

Step-by-step explanation:

This is basically asking us to add the times given.

Because the end product is the pills.

And it is a process of producing the pills and transporting it to the drum.

Now;

- 10 minutes for mixing the ingredients

- After mixing, 2 minutes to travel from the belt to the oven

- Spends 7 minutes in the oven

- spends 3 minutes to move through the belt to the drum.

Total time taken = 10 + 2 + 7 + 3 = 22 minutes

4 0

3 years ago

The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G

ExtremeBDS [4]

Answer:

12 = f(40)

Step-by-step explanation:

From the given information:

We are being told that:

G = tons per week

p = people in thousands

However, the relation existing between the amount of garbage that is produced by a city with population p can be expressed as:

G = f(p)

Similarly, they said there exists a total population of 40000 persons in the town of Tola. i.e. 40 thousand and also 12 tons of garbage is produced by week i.e. that will be the value for G.

Then, we have:

12 = f(40)

4 0

3 years ago

A random sample of 20 shoppers was taken. Sample data showed that they spend an average of $24.50 per visit at the Sunday Mornin

slava [35]

Answer:

a) The point estimate of the population mean is $\hat \mu = \bar X =24.50$

b) The 90% confidence interval would be given by (23.339;25.661)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=24.50$ represent the sample mean

$\mu$ population mean (variable of interest)

s=3.00 represent the sample standard deviation

n=20 represent the sample size

2) Part a

The confidence interval for the mean is given by the following formula:

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

The point estimate of the population mean is $\hat \mu = \bar X =24.50$

3) Part b

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=20-1=19$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,19)".And we see that $t_{\alpha/2}=1.73$