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Lerok [7]
3 years ago
13

Which is a greater slope 3 or -4

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.

Step-by-step explanation:

3 is greater than -4, so strictly speaking, a slope of 3 is greater than a slope of -4.

On the other hand, the steepness of a line depends on the absolute value of the slope.

|3| = 3

|-4| = 4

Since 4 > 3, the line with slope -4 is steeper than the line with slope 3.

Answer: 3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.

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A car company took a random sample of 85 people and asked them whether they have a plan to purchanse an electrinic car in the ne
lutik1710 [3]

Answer:

We have 96% of confidence that the true proportion of people who responded that they have a plan to buy one electric car is between (0.121 and 0.303).

Step-by-step explanation:

For this case the estimated proportion of people who responded that they have a plan to buy one electric car is given by:

\hat p = \frac{X}{n}= \frac{18}{85}=0.212

Where X represent the number of people who responded that they have a plan to buy one and n represent the sample size selected

We know that the confidence level for this case is 96% of confidence, then our significance level would be \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be:

z_{\alpha/2}=-2.05, z_{1-\alpha/2}=2.05

The confidence interval for the true proportion is given by this expression:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the data given we got:

0.212 - 2.05\sqrt{\frac{0.212(1-0.212)}{85}}=0.121

0.212 + 2.05\sqrt{\frac{0.212(1-0.212)}{85}}=0.303

We have 96% of confidence that the true proportion of people who responded that they have a plan to buy one electric car is between (0.121 and 0.303).

6 0
4 years ago
√13 • 3 √13
valentinak56 [21]
If a squareroot is multiplied by the same (like your example) it turns the number in squareroot as natural number.

squareroot 13 • 3 squareroot 13 = 13•3= 39

Hope it helps!
#MissionExam001
6 0
3 years ago
How should the decimal point in 0.937 change to get the correct answer to 0.937 ÷ 10²?
Mama L [17]

Answer:

B (2 places to the left)

Step-by-step explanation:

10*10 (or 10²)=100

.937/100= 0.00937

3 0
4 years ago
What is 514 times 33?
Iteru [2.4K]

Answer:

16,962

Step-by-step explanation:

Hope that helps lol.

3 0
3 years ago
A castle has to be guarded 24 hours a day. 7 nights are ordered to split each day guard duty equally. How long will each night s
melamori03 [73]

Answer:

3.43 hours

Step-by-step explanation:

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day guard duty equally. How long will each knight spend on guard duty in one day?

From the above question:

7 knights = 24 hours

1 knight = x hours

Cross Multiply

7 knights × x hours = 1 knight × 24 hours

x hours = 1 knight × 24 hours/ 7 knights

x hours = 3.4285714286 hours

Approximately = 3.43 hours

Therefore, each knight would spend 3.43 hours on guard duty in one day

5 0
3 years ago
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