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3 years ago

Who’s the president?

Mathematics

1 answer:

MAVERICK [17]3 years ago

4 0

Answer: Donald J. Trump

Step-by-step explanation: 45th president of the United States

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The points (-1, r) and (2, 3) lie on a line with slope -1.Find the missing coordinate r

Tomtit [17]

Answer:

r=0

Step-by-step explanation:

1) Place point (2, 3) on graph.

2) Use the slope of -1 to go left -1 and go down -1

3) Until you get to x value of -1

8 0

3 years ago

The heights of 40 randomly chosen men are measured and found to follow a normal distribution. An average height of 175 cm is obt

AVprozaik [17]

Answer:

95% two-sided confidence interval for the true mean heights of men is [168.8 cm , 181.2 cm].

Step-by-step explanation:

We are given that the heights of 40 randomly chosen men are measured and found to follow a normal distribution.

An average height of 175 cm is obtained. The standard deviation of men's heights is 20 cm.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average height = 175 cm

$\sigma$ = population standard deviation = 20 cm

n = sample of men = 40

Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ]

= [ $175-1.96 \times }{\frac{20}{\sqrt{40} } }$ , $175+1.96 \times }{\frac{20}{\sqrt{40} } }$ ]

= [168.8 cm , 181.2 cm]

Therefore, 95% confidence interval for the true mean height of men is [168.8 cm , 181.2 cm].

The interpretation of the above interval is that we are 95% confident that the true mean height of men will be between 168.8 cm and 181.2 cm.

3 0

3 years ago

Express your answer in scientific notation. 4.9 x 10^4 - 8200

Fiesta28 [93]

Answer:

4.0800*10^4

Step-by-step explanation:

4.9*10^4=49000

49000-8200=40800

since we can only have base numbers 1-9 in scientific notation, we need to move the decimal left 4 places:

4.0800*10^4

Hope this helps!

4 0

3 years ago

Which pair of words describes this system of equations? 3y=9x+6 2y−6x=4?

deff fn [24]

No answers

parallel lines

same slope

3 0

3 years ago

Read 2 more answers

Over the last 3 evenings, Yolanda received a total of phone 96 calls at the call center. The third evening, she received 4 times

Ulleksa [173]

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Step-by-step explanation:

Given,

Total calls received = 96

Let,

x be the number of calls received on second day.

Calls received on first day = x+6

Calls received on third day = 4(x+6)

Sum of calls received on three days = Total

$x+(x+6)+4(x+6)=96\\x+x+6+4x+24=96\\6x+30=96\\6x=96-30\\6x=66$

Dividing both sides by 6

$\frac{6x}{6}=\frac{66}{6}\\x=11$

Calls received on first day = x+6 = 11+6 = 17 calls

Calls received on second day = x = 11 calls

Calls received on third day = 4(11+6) = 4(17) = 68 calls

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Keywords: addition, linear expression

Learn more about linear expressions at:

#LearnwithBrainly

7 0

3 years ago