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3 years ago

5

Lockers are numbered with consecutive positive integers beginning with 1, and the digit 2 is used exactly 106 times (including o

n the last locker). What is the number of the last locker?

1 answer:

navik [9.2K]3 years ago

7 0

522 is the last locker number.

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Slope is 85 intercept is 250 what does that tell me about a helicopter taking off.

alexandr1967 [171]

If you mean the y intercept
The helicopter was 250 high before it took off, and then it climbed 85 up for every 1 forward.

6 0

4 years ago

Which of the following points is on the graph of….

bonufazy [111]

we have the equation

$y=\log_{\frac{1}{2}}x$

Remember that

If an ordered pair is on the graph of the given function, then the ordered pair must satisfy the given function

Verify each option

N 1

(0,1)

x=0, y=1

Is not true, because the log of zero is undefined

N 2

(1,1/2)

x=1, y=1/2

Is not true, because the log of 1 is zero

N 3

(1/2,1)

$y=\operatorname{\log}_{\frac{1}{2}}\frac{1}{2}=1$

Is true

therefore

<h2>The answer is (1/2,1)</h2>

8 0

1 year 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

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

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

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

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

= [168.8 cm , 181.2 cm]

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

<em>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.</em>

3 0

3 years ago

GarryVolchara [31]

warehouse location (24,-32)

airport location (-24,32)

distance = sqrt((x2-x1)^2 +(y2-y1)^2)=

Sqrt(24--24)62 +(32--32)^2) =

sqrt(48^2 +64^2) =80

then distance from airport to the factory = -24 to 24 = 48

80+48 = 128 miles total

Step-by-step explanation:

4 0

3 years ago

80 is what percent of 160

sweet [91]

80% is 128 of the number 160 For example: 128/160 = 80%

5 0

3 years ago

Read 2 more answers