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Scorpion4ik [409]
3 years ago
7

Indicate the equation of the given line in standard form. The line through point (-3, 4) and perpendicular to a line that has sl

ope 2/5
Mathematics
1 answer:
statuscvo [17]3 years ago
6 0
To be perpendicular the product of the two slopes must equal -1.

2m/5=-1

2m=-5

m=-2.5

since y=mx+b we have so far

y=-2.5x+b, using point (-3,4) we can solve for b

4=-2.5(-3)+b

4=7.5+b

b=-3.5 so

y=-2.5x-3.5  We can multiply the whole equation by two so that the coefficients are integers...

2y=-5x-7  add 5x to both sides

5x-2y=-7
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Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/
____ [38]

Answer:

He spent 3/4 of an hour reading stories

Step-by-step explanation:

Sorry I dont have time :(

8 0
2 years ago
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
zheka24 [161]

Answer:

$301 - $397

Step-by-step explanation:

Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 349 , standard deviation = 24.

Confidence interval = 95%

Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

= 349 - 2(24)

= 349 - 48

= 301

μ + 2σ

349 + 2(24)

= 349 + 48

= 397

Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.

8 0
3 years ago
Isaac keeps track of the amount of money in his savings certificate each month. He has accumulated the following data:
Dafna1 [17]

Answer:

d. The common ratio is 1.1

Step-by-step explanation:

To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).

In this case, since 60.5 - 55 \neq 55 - 50, it has a common ratio.

To find it, we divide consecutive terms. For example:

\frac{55}{50} = 1.1

So the correct answer is:

d. The common ratio is 1.1

3 0
3 years ago
Round 2,165.413 to the nearest hundredth.
stira [4]

2,200.413 is 2,165.413 to its nearest hundredth.

4 0
3 years ago
Which could be the length?
BigorU [14]

Answer:

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

Step-by-step explanation:

Given;

two side of the triangle, 6 ft and 6 ft

let the third side of the triangle = x

Apply the rules of length of a triangle to determine the third side of the triangle.

Based on this rule:  (6 - 6)  < x < (6 + 6)

                                    0 < x < 12 ft

Therefore, the length of the third side will be greater than 0 but less than 12 ft

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

8 0
2 years ago
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