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Kitty [74]
1 year ago
15

The distance between -2 1/2 - (-3)

Mathematics
1 answer:
Ierofanga [76]1 year ago
3 0

The distance between -2 1/2 - (-3)​

-2 1/2 + 3

1/2

______________________

Answer

1/2

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The standard deviation of pulse rates of adult males is more than 11 bpm. For the random sample of 153 adult males the pulse rat
Alenkasestr [34]

Answer: 160.4040

Step-by-step explanation:

Here , the claim is "The standard deviation of pulse rates of adult males is more than 11 bpm." , i.e. \sigma>11

We use Chi-square test statistic for the test statistic to test the standard deviations :

\chi^2=\dfrac{(n-1)s^2}{\sigma^2} , where s= sample standard deviation , \sigma = population standard deviations and n = sample size.

As per given , n=153 , s= 11.3

Then, Required test statistic will be :

\chi^2=\dfrac{(153-1)(11.3)^2}{11^2}=\dfrac{152\times127.69}{121}\approx160.4040

Hence, the value of the test statistic. =  160.4040

3 0
3 years ago
Write the standard form of an equation with p=3 sqrt2, theta= 135°​
Arlecino [84]

Answer:

x - y + 6 = 0

Step-by-step explanation:

In normal form of a straight line, the equation is given by  

x\cos \theta + y\sin \theta = p

where p is the perpendicular distance of the line from the origin and \theta is the angle between the perpendicular line and the positive direction of the x-axis.

Here, in our case p = 3\sqrt{2} and \theta = 135 Degree,

Therefore, the normal form of the straight line equation is  

x \cos 135 + y \sin 135 = 3\sqrt{2}

⇒ x \cos (180 - 45) + y \sin (180 - 45) = 3\sqrt{2}

⇒ - x \cos 45 + y \sin 45 = 3\sqrt{2} {Since, Cos (180 - Ф) = - Cos Ф and Sin (180 - Ф) = Sin Ф}

⇒- \frac{x}{\sqrt{2}} + \frac{y}{\sqrt{2}} = 3\sqrt{2}

⇒ - x + y = 3√2 × √2 = 6

⇒ x - y + 6 = 0  

So, the standard form of the equation is x - y + 6 = 0. (Answer)

7 0
4 years ago
caitlyn has $210 in her savings account and she has to pay her parents $5 each month.Santos has $90 dollars and he saves $5 doll
nevsk [136]

Answer:

After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.

Step-by-step explanation:

Caitlyn's saving:  -5x+210

Santos' saving: 5x+90

To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.

-5x+210 = 5x+90

(Add 5x on both sides)

210=10x+90

(Subtract 90 from both sides)

120=10x

(Simplify)

x=12

After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.

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3 years ago
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What is the rate and unit rate of 420 miles in 7 hours
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