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Readme [11.4K]
3 years ago
9

. Center at (-4,-1), radius = 2​

Mathematics
1 answer:
valkas [14]3 years ago
6 0

Consider we need to find the equation of the circle.

Given:

The Center at (-4,-1), radius = 2​.

To find:

The equation of the circle.

Solution:

The standard form of a circle is

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

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=-4, k=-1 and r=2, we get

(x-(-4))^2+(y-(-1))^2=(2)^2

(x+4)^2+(y+1)^2=4

Therefore, the equation of the circle is (x+4)^2+(y+1)^2=4.

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The administrator of a nursing home would like to do a time-and-motion study of staff time spend per day performing nonemergency
WINSTONCH [101]

Answer:

32 days must be sampled to test the proposed hypothesis.

Step-by-step explanation:

Consider the provided information.

The average number of person-hours per day spent on these task was \mu_0=16.

The actual value of μ is 12 hours or less i.e μ=12

She wants a test having α=0.05

The probability of a type II error of at most β=0.10 and σ=7.64.

δ = μ-μ0

   = 12-16

  = -4

Now use the formula for calculating the sample size:

N=\frac{(Z_{\alpha}+Z_{\beta})^2\sigma^2}{\delta^2}

Substitute the respective values.

N=\frac{(Z_{0.05}+Z_{0.1})^2(7.64)^2}{(-4)^2}

N=\frac{(1.6449+1.2816)^2(7.64)^2}{16}

N=31.2437958482\approx 32

Hence, 32 days must be sampled to test the proposed hypothesis.

5 0
3 years ago
a Members of a soccer team raised $1530.50 to go to a tournament. They rented a bus for $1164.50 and budgeted $30.50 per player
Helen [10]

The number of players that can be taken to the tournament is 12 players.

The equation that can be used to represent the total amount spent by the soccer team is:

Total amount spent = cost of rented bus + (cost per meal x total number of players)

$1530.50 = $1164.50 + $30.50x

Where: x = total number of player

In order to determine the value of x, the following steps would be taken:

Combine similar terms

$1530.50 - $1164.50 = $30.50x

$366 = $30.50x

Divide both sides of the equation by 30.50

x = $366 / $30.50

x = 12 players

A similar question was answered here: brainly.com/question/22358515

3 0
2 years ago
What is the length of side s of the square shown below?
Len [333]
Answer: C
we know the ratio 45:45:90 and x:x:x root of 2
in this case 8 is x root of 2
so,
other sides are 8/ root of 2
hence,
we get 4 root of 2
7 0
3 years ago
Read 2 more answers
PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!
madam [21]

Answer:

B : y − 3 = 2/3 ⋅ ( x − 3 )

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve for the variable. <br><br> s/4 = 4
olasank [31]

Answer:

16/4=4

Step-by-step explanation:

when you divide 16/4 it gives you 4

5 0
3 years ago
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