Math Questions!!! Please help if you see this!!

Find an equation of the circle that has center (1, -1) and passes through (5, -6).

Sloan [31]

Answer:

Step-by-step explanation:

(x-1)²+(y+1)²=41

6 0

3 years ago

Suppose a simple random sample of size nequals81 is obtained from a population with mu equals 79 and sigma equals 18. (a) Descr

Daniel [21]

Answer:

(a) The sampling distribution of $\overline{X}$ = Population mean = 79

(b) P ( $\overline{X}$ greater than 81.2 ) = 0.1357

(c) P ( $\overline{X}$ less than or equals 74.4 ) = .0107

(d) P (77.6 less than $\overline{X}$ less than 83.2 ) = .7401

Step-by-step explanation:

Given -

Sample size ( n ) = 81

Population mean $(\nu)$ = 79

Standard deviation $(\sigma )$ = 18

(a) Describe the sampling distribution of $\overline{X}$

For large sample using central limit theorem

the sampling distribution of $\overline{X}$ = Population mean = 79

(b) What is Upper P ( $\overline{X}$ greater than 81.2 ) =

$P(\overline{X}> 81.2)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{81.2 - 79}{\frac{18}{\sqrt{81}}})$

= $P(Z> 1.1)$

= $1 - P(Z< 1.1)$

= 1 - .8643 =

= 0.1357

(c) What is Upper P ( $\overline{X}$ less than or equals 74.4 ) =

$P(\overline{X}\leq 74.4)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{74.4- 79}{\frac{18}{\sqrt{81}}})$

= $P(Z\leq -2.3)$

= .0107

(d) What is Upper P (77.6 less than $\overline{X}$ less than 83.2 ) =

$P(77.6< \overline{X}< 83.2)$ = $P(\frac{77.6- 79}{\frac{18}{\sqrt{81}}})< P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{83.2- 79}{\frac{18}{\sqrt{81}}})$

= $P(- 0.7< Z< 2.1)$

= $(Z< 2.1) - (Z< -0.7)$

= 0.9821 - .2420

= 0.7401

3 0

3 years ago

Plsss help me :( ASAP

Alex17521 [72]

Answer:

61.66

Step-by-step explanation:

1. Multiply

2. divide

5 0

3 years ago

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Choose the correct correspondence O <-> Options 1.D 2.O 3.K

Umnica [9.8K]

Answer:

O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle O is equal to Angle O as they are vertical angles across a vertex.

5 0

3 years ago

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A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower be

True [87]

Step-by-step explanation:

we have

length =8in

breadth =6in

since . The length and width of the actual flower bed will be 24 times larger than the length and width in the drawing.

new

length=8×24=192in

breadth =6×24=144in

(b) What is the perimeter of the actual flower bed ? Show your work.

answer:the perimeter of the actual flower bed =2(l+b)

 =2(l+b)=2(192+144)=672in

(a) What is the perimeter of the drawing? Show your work

answer : the perimeter of the drawing

=2(8+6)=96in

(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show your work

perimeter of flower bed /perimeter of drawing

=96/672=1/7

<h3>perimeter of drawing is increased by 7times of perimeter of flower bed</h3>

3 0

2 years ago

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