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Gekata [30.6K]
2 years ago
9

What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?

Mathematics
1 answer:
Mandarinka [93]2 years ago
5 0

Answer:

center: (-5,6)

Radius: 7

Step-by-step explanation:

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Can someone pls help me with this?
Arisa [49]

Answer:

(-1,-1)

Step-by-step explanation:

1. graph both lines using the slope and the y-intercept

2. Where the lines meet is the point of intersection which is (-1,-1)

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2 years ago
Venn Diagrams contain how many sets, depicted by circles?
Nadusha1986 [10]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
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HEY<br><br> QUICK Question? How AM I suppose to solve using the Pythagoras's theorem
Yanka [14]

Step-by-step explanation:

heyy

so a Pythagoras theorem always works on a right angle triangle only

the longest side that is the side not involved in the right angle triangle is called the hypotenuse

the other two involved sides are called legs

so we say one leg is a

other leg is b

and hypotenuse is c

the formula is a²+b²=c²

so if a= 4cm

b=3cm

then find c

so a²+b²=c²

so 16+9=25

so square root of 25 is 5²

so c is equal to 5 cm

also if you want to check if the triangle is a right angled triangle then we should perform this theorem in which all three values will be given but you just need to solve and check if it satisfies

thanks for asking

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4 0
3 years ago
You have a job selling cars. your paid $ 2000 a month plus a 5% commission on all your sales (s) build the equation/function tha
Bogdan [553]

Answer:

p = .05s+2000

Step-by-step explanation:

So we know you get paid 2000 in the beggining of the month which we can say it is the y intercept. We got that part done now when it comes to the commision for every sale (s) you make you get 5 percent so .05s no that you have the commision and base salary all you gotta do is add them up and you get your pay.

2000 + .05s = p

Hope it helped (:

4 0
3 years ago
(1 point) The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.8 ounces
Svet_ta [14]

Answer:

Probability that the average weight of a bar in a Simple Random Sample (SRS) with five of these chocolate bars is between 7.64 and 7.9 ounces is 0.9235.

Step-by-step explanation:

We are given that the distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.8 ounces and standard deviation 0.15 ounces.

A simple random sample of five of these chocolate bars is taken.

<em>Let </em>\bar X<em> = sample average weight of a bar</em>

The z-score probability distribution for sample mean is given by;

                 Z = \frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }  ~ N(0,1)

where, \mu = average weight = 7.8 ounces

            \sigma = standard deviation = 0.15 ounces

             n = sample of chocolate bars = 5

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the the average weight of a bar in a Simple Random Sample (SRS) with five of these chocolate bars is between 7.64 and 7.9 ounces is given by = P(7.64 ounces < \bar X < 7.90 ounces)

P(7.64 ounces < \bar X < 7.90 ounces) = P(\bar X < 7.90) - P(\bar X \leq 7.64)

  P(\bar X < 7.90) = P( \frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} } <  \frac{ 7.90-7.80}{{\frac{0.15}{\sqrt{5} } }} } ) = P(Z < 1.49) = 0.93189  {using z table}

  P(\bar X \leq 7.64) = P( \frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} } \leq  \frac{ 7.64-7.80}{{\frac{0.15}{\sqrt{5} } }} } ) = P(Z \leq -2.39) = 1 - P(Z < 2.39)

                                                         = 1 - 0.99158 = 0.00842

<em>The above probability is calculated by looking at the value of x = 2.39 and x = 1.49 in the z table which has an area of 0.99158 and 0.93189 respectively.</em>

Therefore, P(7.64 ounces < \bar X < 7.90 ounces) = 0.93189 - 0.00842 = 0.9235.

8 0
4 years ago
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