Assume that human body temperatures are normally distributed with a mean of 98.19 and a standard deviation of 0.61

Answers

Answer 1

Answer:

Ok I'm assuming that know what??

Step-by-step explanation:


Related Questions

Solve
[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex]

Answers

Answer:

[tex]a=\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]

[tex](a-1)(a-4)=(a-3)(a+1)[/tex]

[tex]a^2-5a+4=a^2-2a-3[/tex]

[tex]-5a+4=-2a-3[/tex]

[tex]-3a+4=-3[/tex]

[tex]-3a=-7[/tex]

[tex]a=\frac{7}{3}[/tex]

!!!! Which equation represents the graph shown? PLEASE HELP ASAP!!!​

Answers

Answer:

y= 2x +1

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the slope.

Since all the slope in the options are the same, let's focus on the y-intercept. From the graph, the line cuts through the y-axis at y= 1. Thus, the y- intercept is 1.

Hence, y= 2x +1 is the correct option.

Extra notes:

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Please help

Find the mean
of the data.
Data: 46 22 46 49 45 39 40 42 41 39 40 36

Answers

Answer:

40.083

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

In the typing World 120 words in 3 minutes is average how many words could they type in 2 hours

Answers

Answer:

7,200 words

Step-by-step explanation:

Answer: 4,800

I multiplied 120 by 20 because 60 divided by 3 is 20. Then I multiplied my answer by 2 because the question is asking how many words could they type in 2 hours

Determine if these functions are even, odd, or neither

Answers

Answer:

First Graph: the function is symmetrical around y axis -> Even

Second Graph: the function is neither

help with this question, please!

Answers

Answer:

Y Intercept: 0, 2.5

X Intercept: 3.5, 0

Explanation:

An Intercept is where a line crosses an axis. A Y Intercept is for the Y axis and the X intercept is for the X axis.

Also when writing coordinates, the x coordinate comes before the y one.

Hope this helps :)

log, a Consider the graph of the function f 2- X O -2 2 4 6 8 10 -2 - What are the features of function gif g(t) = -|(r) - 1; oyintercept at (0,-1) X-intercept at (1,0) range of (-1,00) domain of (0, 0) vertical asymptote of g = 0​

Answers

Answer:

X-intercept at (1/2 ,0)

domain of (0, infinity)

Vertical asymptote of x = 0

Step-by-step explanation:

Plato I got it right on the test

Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.

Answers

Answer:

Step-by-step explanation:

So the final answer is $2274.

A mother earned ​$8750 from royalties on her cookbook. She set aside​ 20% of this for a down payment on a new home. The balance will be used for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) that earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is ​$420​, how much money was invested at each​ rate?

Answers

Answer:

Step-by-step explanation:

The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is

... 0.80 × $8750 = $7000

If x represents the amount invested at 7%, then the total interest earned is

... (7000 -x)×4% + (x)×7% = 420

... 280 +0.03x = 420

... x = 140/0.03 ≈ 4666.67

$4666.67 was invested at 7%.

$2333.33 was invested at 4%.

What is the value of 1/6 with an exponent of 0

Answers

The answer is 1. Anything to the 0 power is 1.

What is the value of x?

Answers

Answer:

x = 10.

Step-by-step explanation:

(5x-1) + (8x+5) + (4x+6) = 180   (the 3 angles in a triangle sum to 180 degrees).

5x + 8x+ 4x - 1 + 5 +6  = 180

17x + 10 = 180

17x = 170

x = 10.

14. The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole.

Answers

7
It would be about 6.7 ft

Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]

so then line K has a slope of -5 and pass through (-1, -3)

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]

. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes resulted in hospitalization of the drivers (based on data from the highway Loss Data Institute). Using a 0.01 significance level, you need to test the claim that the air-bag hospitalization rate is lower than the 7.8% rate for crashes of mid-size cars equipped with automatic safety belts. What conclusion should you make

Answers

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

[tex]P(X = r) = nCr * p^{r} * (1 - p)^{n - r}[/tex]

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.

determine the right and left hand behavior of the graph of the following functions.

[tex]f(x)=6-2x+4x^{2} -5x^{3}[/tex]

Answers

Answer:

  x → -∞, y → ∞

  x → ∞, y → -∞

Step-by-step explanation:

The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...

  x → -∞, y → ∞

  x → ∞, y → -∞

Show work on the graph pls help I’ll brainlest ASAP

Answers

Answer:

Slope (known as m) = -3/2; Y-int (known as b) = 3

Step-by-step explanation:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]

m = [tex]\frac{-3}{2}[/tex]

b = [tex]3[/tex]

1.) Write .378 as a fraction in simplest form

Answers

Here you go! I hope this helps! It looks like your math is hard but it will get easier

a linear function yand x has graduent -6/7 and y-intercept 8. write down the equation of the function.​

Answers

Answer:

y = - 6/7x + 8

Step-by-step explanation:

The slope- intercept form is:

y = mx + b, where m is the slope (or gradient) and b is the y-intercept

We have:

m = - 6/7 and b = 8

The line is:

y = - 6/7x + 8

A. The graph shows how much money Farrah has in her savings account after weeks of saving on a regular basis. How much money does Farrah have in her savings account after 10 weeks of saving?

Answers

Answer:

Step-by-step explanation:

wheres the graph

Answer:

How much money does priya have after 10 weeks? 320

How long did it take her to save 200? 5

How much did priya have in her savings account when she started to save regularly? 80

Step-by-step explanation:

If 3/4 of one of the acute angles of a right-angled triangle is 15 1/4 larger than 1/6 of the other, find the acute angles.​

Answers

Answer:

Step-by-step explanation:

A + B = 90

A/6(15.25) = 3B/4

61A/18 = B

18A/18 + 61A/18 = 90

A = 90(18)/79

A = 20 40/79°

B = 90 -A = 69 39/79°

I’m not sure how to solve this, anyone know?

Answers

Answer:

A' = (-4, 7)

B' = (3, 5)

C' = (1, 2)

Step-by-step explanation:

The question is asking you to translate the function by adding 4 to the x-value of each point and 2 to the y-value of each point.

I didn't double-check my math, but since the question is asking for an ordered pair, this should be correct.

If Justin raves his Chevy Camaro south down 1-540 for 2560 meters in 60 seconds, what is his velocity?

Answers

2762 because 1088297396x8926372928 is 8262926366363939 divided by 926292983636392837 is 286228938 then divide again you get 2762

i really need help please

Answers

Answer:

207+ 364 = 571

Step-by-step explanation:

i guess?._.

Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...

Answers

Answer:

177146

Step-by-step explanation:

2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098

15=x/4 - 3 how do i solve

Answers

Answer: the answer is x=72

Step-by-step explanation:

Step 1: simplify both sides we know 15=x/4 -3 (the x holds a invisible 1)

the equation should look something Like: 15=1/4x-3 then FLIP the equation such as:

1/4x-3=15 then add 3 on both sides so 15+3=18

step 2: our equation is now 1/4x=18  (we see 4 is being divided the opposite of division is multiply) therefor multiply the 18 with 4

18*4=72 which means x=72

Help me plz NO LINKS

Thanks.

Answers

Answer:

2nd answer choice

Step-by-step explanation:

We want to know which one does not have a two digit quotient, or answer. Let us use guess and check since there are only 4 options.

Option 1:

519/6=86 R3

This answer is wrong because it has a two digit quotient

Option 2:

915/7=130 R5

This answer is correct since it has a three digit quotient, but let's find the rest

Option 3:

439/7=62 R5

This answer is wrong because it has a two digit quotient

Option 4:

812/9=90 R2

This answer is wrong because it has a two digit quotient

Therefore option 2 is correct

I will like to know what you need help with?

4. Write an equation of the vertical line that passes through the point (-2,-8)

Answers

X=-2
You can know this because when you have only an x value you graph it by drawing a line straight up from there because there is every possible y value.

In class A, 17 students in a class of 25 passed an exam. In class B, 13 out of 20 passed. In class C, 7 out of 10 passed. Which class is the best class?

Answers

Answer:

class C

Step-by-step explanation:

a=(17/25)=0.68

b=(13/20)=0.65

c=(7/10)=0.7

A recipe for lemonade called for 1 cup of sugar and 5cups of water.How much sugar is used per cup of water

Answers

It would be 1/5 cup of sugar

Jessica made $156 for 12 hours of work.
At the same rate, how much would she make for hours of work?

Answers

Answer:

156/12=13

so makes 13 dollars a hour

Hope This Helps!!!

Other Questions
What is the acceleration due to gravity in a region where a simple pendulum having a length 75.000 cm has a period of 1.7357 s? Eric leaves his house on his bike. He rides at a constant speed until he reaches a lemonade stand, where he parks his bike and takes a rest. Then he turns around and bikes home as fast as he can. find the quotient 3^15 3^3 Mendel carried out a dihybrid cross to examine the inheritance of the characteristics for seed color and seed shape. The dominant allele for yellow seed color is Y, and the recessive allele for green color is y. The dominant allele for round seeds is R, and the recessive allele for a wrinkled shape is r. The two plants that were crossed were F1 dihybrids RrYy. Identify the ratios of traits that Mendel observed in the F2 generation. Create a Punnett square to help you answer the question. Read the two passages.Passage 1Most of the planets in our solar system have moons. Our planet has only one, but some planets have several. For example, Jupiter has at least 53. Some planets, like Venus, have no moons. While other planets are somewhere in between. This table shows the number of moons that each planet has.Passage 2People have looked at the night sky throughout history. In fact, ancient sailors used the stars as a tool. For example, Polaris, or the North Star, has historically been a useful compass because it is always in the northern sky. At first, people used their eyes to study the stars. Eventually, telescopes were invented. One famous astronomer, Galileo Galilei, made a telescope that was similar to the ones we use today. He used it to prove that Earth revolved around the sun. Astronomers since have made many discoveries with more powerful telescopes.Based on the information in Passage 1, what would be a good addition to Passage 2? A definition for vocabulary words related to the solar system, like planet, moon, and star A detail about recent astronomers' discoveries of different moons using the Hubble telescope A photograph of different types of binoculars and telecsopes people can use to view moons A table showing astronomers' discoveries of different planets and moons throughout history Help help help math math Please help me yall. 8 to the 9th power over 8 to the 7th power simplified? The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owen purchased. Who is wat national personality? Does anyone know the awnser? which phrase best defines a sitcom?O a series of self-contained episodes following a set group of charactersa stand-alone episode designed to gauge interest in a showO a series of self-contained episodes following a rotating group of charactersa series of interconnected episodes following a set group of characters how did american soldiers in the south frustrate the british? Y=-2|x+2|-4 i need to find y intercept and the x intercept Which of these is the note A? What is the purpose of active transport? Straight cut through skim usually made during surgery describes snag type of wound The meteorologist says that it is srowing outside. The weather characteristic being described isA. air pressureB. humidityC. precipitationD. temperaturePlease select the best answer from the choices provided What are three organs that could be part of a mollusk respiratory system? mrs. bailey is unresponsive. you suspect she may have a head injury. which technique should you use to open mrs. baileys airway?