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qaws [65]
3 years ago
10

Find the slope of the line passing through the points (-6,-5) and (4,4)

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

\frac{9}{10}

Step-by-step explanation:

The slope formula is  m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here, x_{1} is -6, x_{2} is 4, y_{1} is -5, and y_{2} is 4.

m=\frac{4+5}{4+6}

m=\frac{9}{10}

So, the slope of the line passing through the points (-6,-5) and (4,4) is \frac{9}{10}.

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A manufacturer claims that fewer than 6% of its fax machines are defective. to test this claim, he selects a random sample of 97
AfilCa [17]

Let P be the population proportion, p be the sample proportion, n be the sample size.

A manufacturer claims that fewer than 6% of its fax machines are defective. It means P=0.06

Sample size n=97 and sample proportion p=0.05

The hypothesis to be tested is

H0: P ≥ 0.06 V/s Ha: P < 0.06

Here the hypothesis for testing population proportion we use z test statistics. Z test statistics is give by

Z = \frac{p -p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}

Where p =sample proportion = 0.05

p0 = hypothesized proportion value =0.06

Using given values into test statistics we get

Z = \frac{0.05 -0.06}{\sqrt{0.06(1-0.06)/97}}

Z = -0.41

The p-value for left tailed alternative hypothesis is given by

P-value = P(z < z cal)

where zcal = Z test statistics value

Here zcal = -0.41

P-value = P(Z < -0.41)

Using z score table to find probability below z=-0.41

P-value = 0.3409

P-value for testing the given claim is 0.3409

3 0
3 years ago
How many significant figures does 2016m has<br>????????????????????????????????????????????????​
KatRina [158]

4 significant figures.

Step-by-step explanation:

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6 0
2 years ago
Brainlest!
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A

Step-by-step explanation:

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4 0
3 years ago
Lilly rents a bike for $15 plus $2 per hour. What algeraic expression represents the situation?
nevsk [136]

Answer:

Solution

Step-by-step explanation:

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3 years ago
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Formulate the situation as a linear programming problem by identifying the variables, the objective function, and the constraint
abruzzese [7]

Answer:

zero goats and 120 Ilamas to get profit of $15,120

Step-by-step explanation:

Goats: G

Ilamas: l

Explicit constraints:

2G + 5l ≤ 400

100G+ 80l≤ 13,200

Implicit constraints

G≥0

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P= 84G+ 126l

See attachment for optimal area

substituting coordinats of optimal region in profit equation to get profit

When G= 132, l=0

P=84(132) + 126(0)

P=11,088

When G=0, l=120

P=84(0)+ 126(120)

P = 15120

When G= 100, l=40

P=84(100)+126(40)

P=13440

3 0
4 years ago
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