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katen-ka-za [31]
3 years ago
11

What is the slope of the line 6x – 2y – 14 = 0?

Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer:

3

Step-by-step explanation:

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If triangle RST is within Quadrant 4 and cos R= √3/2, what is the value of cotR
Nesterboy [21]

Answer:

CotR = -√3

Step-by-step explanation:

In the 4th quadrant, sin is negative;

Since Cos R = √3/2,

Adjacent = √3

Hypotenuse = 2

Get the opposite;

opp^2 = 2^2 -(√3)^2

opp^2 = 4 - 3

opp^2 = 1

Opp = 1

Get sinR

Sin R = opp/hyp

SinR=  -1/2

CotR = cosR/sinR

CostR = (√3/2)/(-1/2)

CotR = √3/2* -2/1

CotR = -√3

6 0
3 years ago
The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar
Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 28, \sigma = 6

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 28}{6}

X - 28 = 6*1.645

X = 37.87

The minimum value of the bill that is greater than 95% of the bills is $37.87.

4 0
3 years ago
Eugene took out a loan for $1075 at a 12.6% APR, compounded monthly, to
aleksandr82 [10.1K]

Answer:

approximately 12 payments.

Step-by-step explanation:

you can pay off the loan in a year by multiplying 87.25 and 12. this will give you 1047, which is about 28$ off. then after that year, you can pay off the $28 whenever you finish with the 87.25

5 0
3 years ago
Read 2 more answers
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Harman [31]

Formula for the perimeter of a quarter circle: C = ((pi x 2r) / 4) + 2r

C = ((3.14 x 18) / 4) + 18

C = (56.52 / 4) + 18

C = 14.13 + 18

C = 32.13 miles

Hope this helps! :)

5 0
4 years ago
There are 75 milligrams of cholesterol in a 3.5 ounce serving of lobster. How much cholesterol is in 6ounces of lobster
Maru [420]

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Step-by-step explanation:

Given

Cholesterol in 3.5 ounces = 75 mg

Cholesterol in 6 ounces =x= ?

This can be worked out by using proportions

It can be written as:

\frac{75}{3.5}=\frac{x}{6}\\21.43=\frac{x}{6}\\Multiplying\ both\ sides\ by\ 6\\21.43*6=x\\x=128.58\ mg

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Keywords: Proportions, Conversion

Learn more about proportions at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

8 0
3 years ago
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