Statistics and probability: If the glucose level is above 160mg per dl one hour after a sugary drink, Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with the mean being 145mg/dl and a standard deviation of 11mg/dl. If a single glucose measurement is made, what is the probability that Sheila is diagnosed with gestational diabetes?

Answers

Answer 1

Answer:

0.0863

Step-by-step explanation:

Given that:

The mean =145

The standard deviation = 11

To find P(X ≥ 160) :

Z = (x - μ)/σ

Z = 160 - 145/ 11

Z = 1.364

From the standard normal z table

Thus;

P(X ≥ 160) =  1- P(Z < 1.364)

P(X ≥ 160) = 1 - 0.9137

P(X ≥ 160) = 0.0863


Related Questions

what is 1/8 divided 1/2?

Answers

Answer:

your answer is 1/4

Step-by-step explanation:

hope this helps

Answer:

1/4

Step-by-step explanation:

1/8 x 2/1 = ?

1 x 2  

1 x 8    

=2/8

2 / 2

8 / 1

=1/4

1/8 / 1/2 = 1/4

The temperature of one furnace is 1,400°C and cools at a rate of 25°C per minute. The temperature of another furnace is 1,200°C and is heated at a rate of 15°C per minute. After how many minutes will the furnaces be the same temperature?

NEED ANSWER NOW

Answers

Answer:

5 minutes

1400-25x =1200+15x

x= 5

hope that help, you can draw my attention in the comment section if you don't understand

Find the distance when y2=9, y1=13, x2=4, and x1=0.

Answers

Answer:

Tthe distance between [tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex] and [tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex] will be:

[tex]\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}[/tex]

Step-by-step explanation:

Given the points

[tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex][tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex]

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(4-0\right)^2+\left(9-13\right)^2}[/tex]

[tex]=\sqrt{4^2+4^2}[/tex]

[tex]=\sqrt{4^2\cdot \:2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt{2}\sqrt{4^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]=4\sqrt{2}[/tex]

Therefore, the distance between [tex]\left(x_1,\:y_1\right)=\left(0,\:13\right)[/tex] and [tex]\left(x_2,\:y_2\right)=\left(4,\:9\right)[/tex] will be:

[tex]\mathrm{Distance\:between\:}\left(0,\:13\right)\mathrm{\:and\:}\left(4,\:9\right):\quad 4\sqrt{2}[/tex]

Ahhh its so confusing I really need help :')

Answers

The volume formula of a square pyramid is
V = 1/3 Bh (B is base).

Base area = 13 • 13
Base area = 169
Height = 11 m

Plug that in for:

V = 1/3 (169)(11)
V ≈ 619.66 or rounded is 619.67 cubic meters

Len is planning a three-hour trip down the Allenem River and back to his starting point. He
knows that he can paddle in still water at 3 milh and that the rate of the current is 2 milh.
How much time can he spend going
downstream?

Answers

Answer:

Step-by-step explanation:

resources. This includes fostering the wisest use of our land and water resources, ... Back Cover: Geologist John B. Mertie exploring the Brooks Range, April 1924. ... I would like to thank Lynn Horvath for her wise counsel and ... focuses more broadly on exploration as a his- ... he paused several times to meet with Eskimo.


A woman traveled 2439.3 miles in 18 hours 5 minutes. Find the average speed of her flight in miles per hour. (Change 18 hours 5 minutes into hours and use the formula d = it.)
The average speed of the woman's flight was mph.

Answers

Answer:

19 hours 20 minutes

Step-by-step explanation:

Which is the solution to the inequality?
y-27-13
Oy2-40
OYS-40
Oy 14
Oys14

Answers

Answer:it is C

Step-by-step explanation:

The equation [tex]y - 27 \geq 13[/tex] has a solution [tex]y\geq 14[/tex]

Data;

y - 27 >= -13

Inequality

The given inequality is

[tex]y - 27 \geq -13[/tex]

Collect like terms on the equation and solve for y

[tex]y -27\geq -13\\y \geq -13+27\\y \geq 14[/tex]

The value of y in the equation is 14

Learn more on inequality here;

https://brainly.com/question/24372553

What percent of 47.9 is 11? ​

Answers

Answer:

about 23% I think

Step-by-step explanation:

I'm not really sure how to get to this though besides just plugging it into your calculator

Answer:

11 is about 23% of 47.9.

Step-by-step explanation:

Do 11 ÷ 47.9 and round it. It is 23%.

Find the slope of the line that passes through (9,8) and (6,4)​

Answers

Answer:

the slope is 4/3

Step-by-step explanation:

your welcome :D

Answer:

slope=2

Step-by-step explanation:

(3,2)

(7,10)

10-2=

7-3=

8/4=2/1=2

Help Asap!

find the equation that is parallel to a line 5x-2y=14 and passes through the point (-3,2)

Answers

Answer:

y=-5x-13

Step-by-step explanation:

y=-5(-3)-13

What is the average rate of change of the function from x=-5 to x=7

Answers

it would be positive 12 right? it’s just asking for the distance ?

please can someone teach me how to round off to hundred​

Answers

Answer:

So if you have a 165 so the 5 is half of 10 so the 6 will got up but if you have 133 the three is lower then 5 so it would round down

Step-by-step explanation:

Which of the following is a square root of 3 (cosine (StartFraction 4 pi Over 9 EndFraction) + I sine (StartFraction 4 pi Over 9 EndFraction) )?

Answers

Answer:

D

Step-by-step explanation:

edge

Answer:

D

Step-by-step explanation:

just finished test

5)Trevon's school is selling tickets to the annual dance competition. On the first day of ticket sales
the school sold 5 senior citizen tickets and 8 student tickets for a total of $94. The school took in
$164 on the second day by selling 10 senior citizen tickets and 13 student tickets. Find the price
of a senior citizen ticket and the price of a student ticket

Answers

Answer:

$8 for student tickets and $4.40 for senior tickets

Step-by-step explanation:

10 (5x +8y=94)

5 (10x +13y=164)

50x+80y=940

- 50x +65y=820

80y-65y= 940-820

15y= 120/15

y=8

(y is the cost of student tickets)

5x+8y=94

5x+8(9)=94

5x+72=94-72

5x=22/5

x= 4.4

What percent is equivalent to 4\5
20%
40%
60%
80%
1
2

Answers

Answer:

Step-by-step explanation:

4/5 is the same as 80%

4/5 is equivalent to 80%

Write an equation of the line with a slope of 2 and y-intercept of 9.

y=

Answers

Here’s one equation. y=2x+9

answer plz i need help


if bob had x dollars and his sister Annika has four times as many , express algebraically the number of dollars Annika has

Answers

[tex]\mathfrak\red{✨ Answer :-}[/tex]

Annika has 4x dollar

Answer:

Annika has $4x

Hope I helped

PLS HELP!!look at image!!

Answers

9514 1404 393

Answer:

  C.  D"(0, -1)

Step-by-step explanation:

The attachment shows the two transformations. The original figure is in quadrant III, so rotating it 270° CCW will put the first image in quadrant II. Translating it down and right will move most of it to quadrant IV.

As you can see in the attachment, the location of D" is now (0, -1).

please help ASAP i really need help

Answers

Answer:

?? its blank

Step-by-step explanation:

Which combination of measurements could form a triangle?
A - 5m, 12m, 18m
B - 12m, 32m, 45m
C - 16m, 55m, 72m
D - 18m, 22m, 36m

Answers

Answers D

You divide all sides by 2, get your slope form and multiply by 7

Answer:

D - 18mm, 22mm, 36mm

Step-by-step explanation:

The only way for a triangle to be made, the 2 smallest side lengths must be greater than the longest side length. So for A through C, the smallest sides diden't add up to the longest side, therefore D is the only correct answer.

4. The graph shows a proportional relationship between the number of hours an
employee works and the amount of money earned in that time.
Employee's Hours
and Earnings
Eamings ($)
200
1HO
160
140
120
100
80
60
40
20
0 1 2 3 4 5 6 7 8 9 10
Number of Hours
Part A
Complete the statement to describe the meaning of the point shown on the graph.
Answer: The employee makes $
in
hour(s).
Part 8
Complete the equation that represents this situation.
Answer:y

Answers

Answer:

the answer is the first one your welcome

please can you answer this whole page please

Answers

Answer:

.......................................................................................

The sum of three consecutive numbers is 39. What is the smallest of these numbers?

Answers

Answer:

12

Step-by-step explanation:

Consecutive so we can make this function

(x)+(x+1)+(x+2)=39

3x+3=39

3x=36

x=12

finding the domain and range ​

Answers

Answer:

Domain: -inf to inf

Range: -1, inf

Step-by-step explanation:

Reese's car has a 12 gallon gas tank. Right now, his gas gauge reads 1/3 full. If he buys 3 gallons of gas, what will the new reading on the gas gauge be?

Answers

Answer:

The new reading on the gas gauge will be will be 7/12 full

Step-by-step explanation:

From the question

Reese's car has a 12 gallon gas tank. Right now, his gas gauge reads 1/3 full.

Hence, the quantity of gas in the tank is currently:

12 gallon × 1/3

= 4 gallons

If he buys 3 gallons of gas

Total amount of gas = 4 gallons + 3 gallons

= 7 gallons of gas

The new reading on the gas gauge will be:

4 gallons of gas = 1/3

7 gallons of gas = x

Cross Multiply

4 gallons × x = 7 gallons × 1/3

x = 7 gallons × 1/3/4

x = 7/3 ÷ 4

x = 7/3 × 1/4

x = 7/12

The new reading on the gas gauge will be will be 7/12 full

help please!!! :((((((

Answers

Answer: 2000

Step-by-step explanation:

They started counting the population after the year 2000 meaning that in 2000 they had an initial count .

midpoint (-3,6) and (3,0)

Answers

Answer:

0,3

Step-by-step explanation:

(-3+3)/2, (6+0)/2

Answer:

(0,3)

Step-by-step explanation:

[tex]x_{1} +y_{1}, and , x_{2}+ y_{2}[/tex]

Midpoint Formula:

(x1,y1) and (y1, y2)

([tex]\frac{x1+y2}{2},\frac{y1 + y2}{2}[/tex])

([tex]\frac{-3 +3}{2} ,\frac{6+2}{2}[/tex])

([tex]\frac{0}{2}, \frac{6}{0}[/tex])

(0.3)

What were the effects of the Sugar Act? check all that apply.

Answers

Answer:

A,B,E is the answer

Step-by-step explanation:

Your welcome : )

Which equation represents the line that passes through the point (10, 1) and is perpendicular to the graph of 2x – y = 7?

Answers

2x-y=7 10’0 times 6 is right

find the length of side TV

Answers

Answer:

11

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

The correct answer is 11
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