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BigorU [14]
2 years ago
14

CORRECT ANSWER GETS BRAINLIEST

Mathematics
1 answer:
kati45 [8]2 years ago
7 0

Answer:

2.5

Step-by-step explanation:

t = 0.25d^{1/2}

Substitute d with 100

t = 0.25 x (100^{1/2})

A number to the half power is equal to the square root of a number.

Square root of 100 is 10: \sqrt{100} = 10

t = 0.25*10

t = 2.5

Hope this helps :)

Have an awesome day!

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What is the inverse of the relation? <br> {(-4,1), (-4,3), (0,-8), (8,-9)}
BigorU [14]

The inverse relation would be each of these ordered pairs switched.

{(1, -4), (3, -4), (-8, 0), (-9, 8)}

This is because when you create an inverse equation, all of the inputs become outputs and all of the outputs become inputs. Therefore, the ordered pairs simply switch.

5 0
2 years ago
The measure of angle 1 is 30°, and the measure of angle 2 is 110°.<br> na ofanale 12
LenaWriter [7]
40 is the answer if your asking for the second angle
3 0
3 years ago
Find K such that the points (-2, 5), (2, 8) and (6, K) are collinear.
damaskus [11]

Answer:

k = 11

Step-by-step explanation:

let the points be A(-2,5), B(2,8), C(6,K).

for the points to be collinear slope of line AB maust be equal to line BC.

slope of line AB = \frac{8-5}{2+2}=\frac{3}{4}

slope of line BC = \frac{k-8}{6-2}=\frac{k-8}{4}

therefore \frac{k-8}{4}= \frac{3}{4}

therefore k = 8 + 3

k = 11

8 0
3 years ago
Rosa can run 4 miles in 56 minutes how many miles does Rosa run if she runs for 42 miles
agasfer [191]

4miles ..............56 minutes

42miles .............x

x= (42*56)/4

x= 2352/4

x= 588

8 0
2 years ago
Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =
irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a <em>z-score</em>. We have to remember that the <em>standard normal distribution</em> is a particular case of a <em>normal distribution</em> where the mean = 0 and the standard deviation = 1.

Using <em>the standard normal distribution,</em> we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations <em>above the mean</em>. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, <em>below the mean</em>.

The formula for a z-score is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

Where

\\ x\;is\;the\;raw\;score.

\\ \mu\;is\;the\;population\;mean.

\\ \sigma\;is\;the\;population\;standard\;deviation.

Then to find <em>x </em>(or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

\\ \mu = 98.20^\circF °F

\\ \sigma = 0.62^\circF °F

\\ z = -1.5

Thus (with no units)

\\ -1.5 = \frac{x - 98.20}{0.62}

\\ (-1.5*0.62) = x - 98.20

\\ (-1.5*0.62) + 98.20 = x

\\ x = (-1.5*0.62) + 98.20

\\ -0.93 + 98.20

\\ x = 97.27°F

Thus, Sally's temperature is \\ x = 97.27°F (rounding the answer to the nearest hundredth).

8 0
3 years ago
Read 2 more answers
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