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Paha777 [63]
2 years ago
15

Helppp!!!! please!!!

Mathematics
1 answer:
KatRina [158]2 years ago
8 0

Answer:

Option B is the correct answer

Step-by-step explanation:

Center of the circle lie on point (-1, - 3) = (h, k)

\implies \: h =  - 1 \:  \: k =  - 3 \\radius \: r \:  = 2  \\ equation \: of \: circle \: in \: standard \: form \:  \\ is \: given \: as :  \\  {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}  \\  {(x  +  1)}^{2}  +  {(y  +  3)}^{2}  =  {2}^{2}  \\  \purple{ \boxed{ \bold{ {(x  +  1)}^{2}  +  {(y  + 3)}^{2}  = 4}}}

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Steve wants to know what the average ACT scores of students graduated from his high school is. He randomly selected 25 students
beks73 [17]

Answer:

[a]. sample is 25 randomly selected students

    also population is all students

[b]. (20.0, 23.0)

[c]. (8.8, 24.2)

Step-by-step explanation:

here is a step by step process to solving this, i hope you find this helpful.

1). The population is all students who graduated from his school  while the

sample is 25 randomly selected students from the email list

2). given alpha = 1-0.86=0.14

critical z value(two tailed) for 86% confidence level is:

z=normsinv(0.07) or normsinv(0.93)=1.476

Margin of error=1.476*(4.6/SQRT(20))=1.5

86% confidence interval for population mean

=21.5+/-1.5

=(20.0, 23.0)

3). if population standard deviation is not known,we will use t distribution.

df=20-1=19

t*=tinv(0.05,19)=2.093

Margin of error=2.093*(5.7/sqrt(20))=2.7

95% confidence interval for population mean

=21.5+/-2.7

=(18.8, 24.2)

cheers i hope this helps!!!!

3 0
2 years ago
HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1
Alenkinab [10]

Answer:

The blue and yellow macaw is 33 inches long.

Step-by-step explanation:

If the toucan is 22 inches long and it's two thirds the length of the macaw you can divide by two to find what one third is.

22 ÷ 2 = 11

So then you have to multiply by 3 to find what the full length is.

3 x 11 = 33 inches

Hope that helps and have a great day!

7 0
2 years ago
Read 2 more answers
V= u + at<br> u= 2<br> a = -5<br> t = 1 글<br> Work out the value of v.
Maksim231197 [3]

Answer:

v = - 3

Step-by-step explanation:

Given

v = u + at ← substitute u = 2, a = - 5, t = 1 into the expression

v = 2 + (- 5 × 1) = 2 + (- 5) = 2 - 5 = - 3

5 0
3 years ago
Let f(x)=2x+3 and g(x)=x×x-1<br>find a. f(g(x)) b.g(f(x))<br><br>​
Talja [164]

Answer:

See explanations below

Step-by-step explanation:

Given the functions f(x)=2x+3 and g(x)=x^2-1

a. Find f(g(x))

f(g(x)) = f(x^2-1)

f(g(x)) = 2(x^2-1)+3

f(g(x))= 2x^2-2+3

f(g(x)) = 2x^2+1

Hence the composite function f(g(x)) is 2x^2+1

b) g(f(x)) = g(2x+3)

g(f(x) = (2x+3)^2-1

g(f(x)) = 4x^2+12x+9-1

g(f(x)) = 4x^2+12x+8

5 0
2 years ago
If a=8 and b=4, evaluate the following expression:2a−3b​
Nata [24]

Answer:

4

Step-by-step explanation:

2(8)-3(4)

16-12

4

7 0
3 years ago
Read 2 more answers
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