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Lerok [7]
2 years ago
14

Write the slope of the line containing each pair of points.

Mathematics
1 answer:
navik [9.2K]2 years ago
7 0

Answer:

1) 1.5  2) 0.5

Step-by-step explanation:

To find slope using two points like (x1,y1) and (x2,y2),  the slope is (y2-y1)/(x2-x1), so for first question (7-4)/(5-3) = 3/2 = 1.5, and same for the second question.

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What is -0.4 as a fraction or mixed number?<br><br>​
NISA [10]

Answer:

-0.4 = −2/5

Step-by-step explanation:

Rewrite the decimal number as a fraction.

-0.4/1

Multiply to remove 1 decimal places.

-0.4/1 x 10/10 =4/10

Find the GCF.

4 ÷ 2/10 ÷ 2 = 2/5

x = 2/5

-2/5

3 0
3 years ago
Verify the identity. 4 csc 2x = 2 csc2x tan x
vlada-n [284]

Step-by-step explanation:

4csc(2x) = 2csc^2(x) tan(x)

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

4 \frac{1}{sin(2x)}

Also we use identity

sin(2x) = 2 sin(x) cos(x)

4 \frac{1}{2sin(x)cos(x)}

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}

2\frac{sin(x)}{sin^2(x)cos(x)}

2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}

We know that sinx/ cosx = tan(x)

Also  1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified



6 0
3 years ago
You recycled a total of 30 cans and bottles and made $1.80. For cans you get $0.05 and for bottles
Svetlanka [38]

Answer:

27

Step-by-step explanation:

x + y = 30

0.05x + 0.15y = 1.80

x = 30 - y

1.5 - 0.05y + 0.15y = 1.80

0.10y = 0.30

y = 3 (bottles)

x = 27 (cans)

5 0
3 years ago
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri
eimsori [14]

Answer:

P(|\bar{x}-40| > 0.6)=0.5404

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801

P(sample mean would differ by true mean by more than 0.6)

P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4

P(39.4 \leq x \leq 40.6) \\\\= P(\displaystyle\frac{39.4 - 40}{0.9801} \leq z \leq \displaystyle\frac{40.6-40}{0.9801})\\\\ = P(-0.6121 \leq z \leq 0.6121)\\= P(z \leq 0.6121) - P(z < -0.6121)\\= 0.7298 - 0.2702 =0.4596

P(|\bar{x}|-40 > 0.6)\\= 1-0.4596=0.5404

0.5404 is the required probability.

4 0
3 years ago
Emma has a bag with 20 marbles in it.some of the marbles are blue,green,and some are yellow.
coldgirl [10]
6/20 \\ 8/20 \\ 6/20
6 0
3 years ago
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