All categories

2 years ago

Where does -1/5 go on the number line

Mathematics

1 answer:

Fofino [41]2 years ago

8 0

Answer:

-0.2

Step-by-step explanation:

-1/5 = -0.2

Depending on your scale, it would go at -0.2

You might be interested in

One again i really am bad at these

Ivenika [448]

It’s 39 yards squared because the rectangle is 24+15 which is the triangle

6 0

3 years ago

Kylie draws a triangle on a coordinate grid. She then performs the following

zmey [24]

B PLEASE GIVE BRAINLIEST

7 0

3 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H

LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

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

where, $\bar X$ = sample average mean response = 9 hours

$\sigma$ = population standard deviation = 12.6

n = sample of legal professionals = 250

$\mu$ = mean number of hours a legal professional works

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

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

= [ $9-1.96 \times {\frac{12.6}{\sqrt{250} } }$ , $9+1.96 \times {\frac{12.6}{\sqrt{250} } }$ ]

= [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0

3 years ago

When a bush was first planted in a garden, it was 12 inches tall. After two weeks, it was 120% as tall as when it was first plan

e-lub [12.9K]

Answer:

The bush after the two weeks was 14.4 inches tall

Step-by-step explanation:

Let

x ----> bush height after two weeks

we know that

$120\%=120/100=1.20$

The bush height after two weeks is equal to multiply the height when it was first planted by 1.20

$x=1.20(12)=14.4\ in$

6 0

3 years ago

A rental car agency charges $ 220.00 per week plus $ 0.15 per mile to rent a car. How many miles can you travel in one week for

bazaltina [42]

Answer:

$x=900$

Step-by-step explanation:

Read the problem carefully and figure out where it says plus and where it says per. Per implies multiplication. Plus is addition.

220+0.15x

To solve, plug in 355 for the answer and back solve for x.

$355=220+0.15x\\\mathrm{Switch\:sides}\\220+0.15x=355\\\mathrm{Multiply\:both\:sides\:by\:}100\\220\cdot \:100+0.15x\cdot \:100=355\cdot \:100\\22000+15x=35500\\\mathrm{Subtract\:}22000\mathrm{\:from\:both\:sides}\\22000+15x-22000=35500-22000\\15x=13500\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{13500}{15}\\x=900\\$

4 0

3 years ago

Read 2 more answers