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ira [324]
2 years ago
12

if b =the number of blackbirds that flew away away which mathematical sentence expresse the information

Mathematics
1 answer:
Elis [28]2 years ago
3 0
X = total number of birds
b= blackbirds
x - b = number of birds left.
hope this helps
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Madison gets a 2% raise every year. She made a salary of $54,000 this year how much will she make next year.
ZanzabumX [31]

Answer:

55080

Step-by-step explanation:

She makes 54,000 this year

she gets a 2% raise

her increase will be

54000*.02 =1080

The new salary will be

54000+1080

55080

6 0
2 years ago
Read 2 more answers
A simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week
Levart [38]

Answer:

99% confidence interval for the population proportion of employed individuals is [0.104 , 0.224].

Step-by-step explanation:

We are given that a simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week.

Of the 250 employed individuals​ surveyed, 41 responded that they did work at home at least once per week.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                              P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of individuals who work at home at least once per week = \frac{41}{250} = 0.164

           n = sample of individuals surveyed = 250

<em>Here for constructing 99% confidence interval we have used One-sample z proportion statistics.</em>

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5%

                                             level of significance are -2.5758 & 2.5758}  

P(-2.5758 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.5758) = 0.99

P( -2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<em>99% confidence interval for p</em> = [\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

= [ 0.164-2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } } , 0.164+2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } } ]

 = [0.104 , 0.224]

Therefore, 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is [0.104 , 0.224].

7 0
2 years ago
PLEASE HELP
Korolek [52]

Answer:

v=2 s=5

Step-by-step explanation:

a) v=volleyball s=soccer

s × v = 7

" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v

b) substitute equation for soccer for s

(1 + 2v) + v = 7

solve for v

1 + 3v = 7   (2v + v = 3v; that's where the 3v comes from)

we subtract 1 from both sides

3v = 6

we divide 3 from both sides

v=2

solve for s

since we know what v equals, we substitute it in

s + 2 =7

subtract 2 from both sides

s = 5

5 0
3 years ago
Simplify the expression -3(10x + 4y) + 6(6x − 2y)
IgorC [24]
-30x-12y+36x-12y

Combine the x' s first

6x-12y-12y

Combine the y's

6x-24y is your answer
4 0
3 years ago
Read 2 more answers
A college student completed some courses worth 3 credits and some
-BARSIC- [3]

Answer:

  • A. 13

Step-by-step explanation:

<u><em>Note:</em></u><em> It seems typo in the question. 5% should read 59.</em>

Let 3 credit courses = x, 4 credit courses = y

<u>As per  given we have following equations:</u>

  • x + y = 18
  • 3x + 4y = 59

<u>Solve the system by elimination. Multiply the first equation by 4 and subtract the second one:</u>

  • 4(x + y) - (3x + 4y) = 4(18) - 59
  • 4x + 4y - 3x - 4y = 72 - 59
  • x = 13

The answer is 13

Correct choice is A

4 0
3 years ago
Read 2 more answers
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