1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna007 [38]
3 years ago
15

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 =

-1.5. What is her temperature? Round your answer to the nearest hundredth.
Mathematics
2 answers:
irina1246 [14]3 years ago
8 0

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).

svp [43]3 years ago
4 0

Answer:

Sally's temperature is 97.27° F .

Step-by-step explanation:

We are given that Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F.

Let X = Human body temperatures

So, X ~ N(\mu = 98.20,\sigma^{2}=0.62^{2})

The z score probability distribution is given by;

            Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Let Sally's temperature be x ; we are given that Sally's temperature can be described by z = -1.5; i.e.;

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

              x = 98.20 - (1.5 * 0.62)

              x = 98.20 - 0.93 = 97.27° F

Therefore, Sally's temperature is 97.27° F .

 

You might be interested in
A Air Freshener Used 3 3/4 milliliters perfume wanted to make 3 air freshners how many milliliters of perfume woud she use
larisa [96]
1 and a fourth because 3 3/4 devided by three equals 1 1/4
5 0
3 years ago
Name; mia
Reika [66]

Answer:

you need to add and then subtract and the anw=sewr wi;l be 14567890 .happy and boom your done

Step-by-step explanation:

3 0
3 years ago
Write the verbal sentence as an algebraic equation.
Dmitry_Shevchenko [17]

Step-by-step explanation:

product=× three=3 a number is unknown =x plus=+ five=5 is=equals to 20

3×x +5=20

3x+5=20

Subtract 5 from both sides

3x+5-5=20-5

3x=15

3x/3=15/3

x=5

6 0
2 years ago
Terica is dissolving a substance in a solution for a chemistry experiment. Terica measured the amount of substance remains in gr
vfiekz [6]

Answer: -1 1/3

She asked me where I was from

I said "Somewhere you never been to"

Little town outside of Knoxville

Hidden by some dogwood trees

She tried talkin' with my accent

We held hands and waded into

That blue water

She left her flip-flops by my Red Wings on the beach

[Chorus]

Yeah but, now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed mе tells me she'd lovе Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

[Verse 2]

I said "Let's go shoot tequila"

So we walked back to that beach bar

She said "Don't cowboys drink whiskey?" (huh)

So we drank bottom shelf

She said ", that sky looks perfect"

I said "Girl, you've never seen stars like the ones back home"

And she said "Maybe I should, see 'em for myself"

[Chorus]

Yeah, but now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed me tells me she'd love Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

[Bridge]

I said meet me in the mornin'

And she told me I was crazy

Yeah, but I still thought that maybe she'd show up

[Chorus]

Oh, but now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed me tells me she'd love Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

Yeah, but all I brought back with me was some sand in my boots

Step-by-step explanation:

7 0
2 years ago
5 times the sum of 7 and 23
Harrizon [31]
5 × (7 + 23)
5 × 30
150
5 0
3 years ago
Read 2 more answers
Other questions:
  • What times what equals 98 and adds up to -21
    14·1 answer
  • Based on the tree diagram below, what is the probability that a student doesn't have lice, given that the student tested negativ
    15·2 answers
  • Which of the following is a numerical expression?
    12·2 answers
  • Which of the following can be used to find how many milliliters are in 0.43 L?
    9·1 answer
  • Solve each equation.<br> 1. 25 - 3x = 40<br> 2. } (x – 10) = -4
    8·2 answers
  • What is the volume of the right cone shown below? 10 O A. 7577 units3 B. 100n units3 C. 1507 units3 375 units3​
    10·1 answer
  • Line ET is tangent to circle A at T, and the measure of arc TG is 46°.
    9·1 answer
  • Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?
    10·2 answers
  • 5th grade math. correct answer will be marked brainliest.
    15·2 answers
  • Which statement is true regarding the functions on the graph?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!