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pychu [463]
3 years ago
6

John and David graphed a circle with center (-3,1)

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Neither of them are fully correct because the equation of a circle is:

(x - h) ^{2}  + (y - k) ^{2}  = r ^{2}

h = x value of center coordinate

k = y value of center coordinate

r = radius

Therefore, the correct equation of the circle is:

(x  + 3) ^{2}  + (y - 1) ^{2}  = 49

David had the correct values in each of the parentheses while John had the correct value on the right side of the equation.

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Five divided by one half
vova2212 [387]
5 divided by one half, would be 2.5, since its half of 5.
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3 years ago
Write an equation of a line with the given slope and y-intercept. m = –2, b = 4
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Y= -2x+4 m represents the x value and b the y intercept
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Read 2 more answers
A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

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

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
3 years ago
110 is between blank and blank so 110 divided by 8 is between 13 and 14
mixas84 [53]
The 2 numbers required are 13*8 and 14  * 8
that is  104 and 117
5 0
3 years ago
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27.
padilas [110]

Answer:

78

Step-by-step explanation:

The IQR is quartile 3 - quartile 1. First, we need to find the mean of the dataset, which is 50 -- the fifth number. Then, the median of the dataset on the left of the fifth number is the first quartile, and the median of the dataset on the right is the third. We get Q1 to then be halfway between 30 and 50, or 40, and Q3 to be halfway between 56 and n, so Q3 = (56+n)/2. Since we need Q3-Q1=27, or (56+n)/2-40=27, we have (56+n)/2=67 and 56+n=134, so n = 134-56=78

3 0
3 years ago
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