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4 years ago

Solve each linear system by graphing. y=-1 and y=2 X-7

Mathematics

1 answer:

BaLLatris [955]4 years ago

5 0

Answer:

Slope:2

y-intercept:−7

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A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through

ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0

3 years ago

How could you describe the graph

Fudgin [204]

Answer:

wefawefaWF

Step-by-step explanation:

5 0

3 years ago

I'll give brainliest to whoever shows there work. Plz answer before 2: 30 pm.

olchik [2.2K]

Answer:

1st, 3rd and 5th statements are true.

Step-by-step explanation:

We have been given a table that hows the number of cars sold each month for 5 months at two dealerships. We are asked to choose the correct statement from the given choices.

1. The mean number of cars sold in a month is the same at both dealerships.

Let us find mean sales for both dealerships.

$\text{Mean}=\frac{\text{Sum of all number of data set}}{\text{Total number in data set}}$

$\text{Mean sales for Admiral autos}=\frac{4+19+15+10+17}{5}$

$\text{Mean sales for Admiral autos}=\frac{65}{5}$

$\text{Mean sales for Admiral autos}=13$

$\text{Mean sales for Countywide Cars}=\frac{9+17+14+10+15}{5}$

$\text{Mean sales for Countywide Cars}=\frac{65}{5}$

$\text{Mean sales for Countywide Cars}=13$

We can see that mean number of cars sold at both dealerships, therefore, statement 1st is true.

2. The median number of cars sold in a month is the same at both dealerships.

Let us arrange our given data set from least to greatest.

Median sales for Admiral autos: 4, 10, 15, 17, 19.

As our data set have 5 data points, therefore, the median will be the value of 3rd data point that is 15.

Median sales for Countywide Cars: 9, 10, 14, 15, 17.

As our data set have 5 data points, therefore, the median will be the value of 3rd data point that is 14.

Since the median number of cars sold at both dealerships is different, therefore, 2nd statement is false.

3. The total number of cars sold is the same at both dealerships.

We have already seen that both dealerships sold 65 cars, therefore, 3rd statement is true.

4. The range of the number of cars sold is the same for both dealerships.

$\text{Range}=\text{The highest value- The Lowest value}$

$\text{Range of Admiral Autos}=19-4$

$\text{Range of Admiral Autos}=15$

$\text{Range of Countywide Cars}=17-9$

$\text{Range of Countywide Cars}=8$

Since the ranges of both dealerships are different, therefore, 4th statement is false.

5. The data for Admiral Autos shows greater variability.

Let us find standard deviation of both data sets.

$\sigma=\sqrt{\frac{\sum(x-\overline x)^2 }{n-1}}$

$\text{SD of Admiral Autos}=\sqrt{\frac{(4-13)^2+(19-13)^2+(15-13)^2+(10-13)^2+(17-13)^2}{5-1}}$

$\text{SD of Admiral Autos}=\sqrt{\frac{(-9)^2+(6)^2+(2)^2+(-3)^2+(4)^2}{4}}$

$\text{SD of Admiral Autos}=\sqrt{\frac{81+36+4+9+16}{4}}$

$\text{SD of Admiral Autos}=\sqrt{\frac{146}{4}}$

$\text{SD of Admiral Autos}=\sqrt{36.5}\approx 6.04$

$\text{SD of Countywide Cars}=\sqrt{\frac{(9-13)^2+(17-13)^2+(14-13)^2+(10-13)^2+(15-13)^2}{5-1}}$

$\text{SD of Countywide Cars}=\sqrt{\frac{(-4)^2+(4)^2+(1)^2+(-3)^2+(2)^2}{4}}$

$\text{SD of Countywide Cars}=\sqrt{\frac{16+16+1+9+4}{4}}$

$\text{SD of Countywide Cars}=\sqrt{\frac{46}{4}}$

$\text{SD of Countywide Cars}=\sqrt{11.5}\approx 3.39$

Since SD for Admiral Autos is 6.04 and SD for Countywide Cars is 3.39, therefore, 5th statement is true indeed.

4 0

4 years ago

Read 2 more answers

Mr. Williams is painting only the back of his barn. A gallon of paint covers 70 square feet. How many square feet will Mr. Willi

deff fn [24]

Area of a rectangle is L * W
A = 12 * 18 = 216 ft^2

area of a triangle is : (h * b) / 2......minus the area of the window L * W
A = (10 * 12) / 2 - (4 * 3) = 120/2 - 12 = 60 - 12 = 48 ft^2

216 + 48 = 264 ft^2 <==
and if a gallon covers 70 sq ft......264/70 = 3.77 gallons..rounds to 4 gallons

so ur answer is : A

6 0

4 years ago

Read 2 more answers

Y=2^x and y=2.5^x (which of these equation represents the faster rate of growth

Yuri [45]

Graphing questions are more difficult to answer without uploading images.You could use technology (a graphics calculator or graphics packages available on the Internet) to do the graphing for you.
Here's a graph using an Internet software (note the colour coding).You will notice that y=2.5^x (blue) grows faster that y=2.0^x (red), and that y=0.2^x (orange) decays faster than y=0.5^x (green).
The graphs show that they all pass through (0,1). After that, you will see that the blue line rises above the red line for x>0, meaning that 2.5^x grows faster than 2.0^x. Similarly, you will note that y=0.2^x (orange) goes below (for x>0) the curve for y=0.5^x (green), meaning that 0.2^x decays faster.

5 0

3 years ago