Answer:
6.51
Step-by-step explanation:
105×6.2/100
it gives 6.51
HELP WILL GIVE BRANLIEST
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
Using the normal distribution, it is found that:
a) 0.8599 = 85.99% probability that x is more than 60.
b) 0.1788 = 17.88% probability that x is less than 110.
c) 0.6811 = 68.11% probability that x is between 60 and 110.
d) 0.0643 = 6.43% probability that x is greater than 125.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 60, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 87}{25}[/tex]
[tex]Z = -1.08[/tex]
[tex]Z = -1.08[/tex] has a p-value of 0.1401.
1 - 0.1401 = 0.8599
0.8599 = 85.99% probability that x is more than 60.
Item b:
This probability is the p-value of Z when X = 110, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 87}{25}[/tex]
[tex]Z = 0.92[/tex]
[tex]Z = 0.92[/tex] has a p-value of 0.8212.
1 - 0.8212 = 0.1788.
0.1788 = 17.88% probability that x is less than 110.
Item c:
This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.
From the previous two items, 0.8212 - 0.1401 = 0.6811.
0.6811 = 68.11% probability that x is between 60 and 110.
Item d:
This probability is 1 subtracted by the p-value of Z when X = 125, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{125 - 87}{25}[/tex]
[tex]Z = 1.52[/tex]
[tex]Z = 1.52[/tex] has a p-value of 0.9357.
1 - 0.9357 = 0.0643.
0.0643 = 6.43% probability that x is greater than 125.
A similar problem is given at https://brainly.com/question/24863330
Mr. Hernandez divided 30 large cookies onto 4 plates. How many cookies are on each plate?
Answer:
seven and a half
Step-by-step explanation:
need help with this algebra ii question
Answer:
-23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + c
f(4) = -7
Step 2: Solve for c
Substitute in variables [Function f(x)]: -7 = 4² + cEvaluate exponents: -7 = 16 + c[Subtraction Property of Equality] Subtract 16 on both sides: -23 = cHELPPP!!! WILL MARK BRAINLIEST!!!
Graphing Asymptotes for Rational Functions
Two copies of the same Rational Functions are shown below.
On the graph on the left, draw the Horizontal Asymptote and write the equation for the horizontal asymptote underneath.
On the graph on the right, draw the Vertical Asymptote and write the equation for the Vertical Asymptote underneath.
Answer:
Horizontal Asymptote: y=2
Vertical Asymptote: x=3
Step-by-step explanation:
One way: Look at graph
Look at for a horizontal or vertical line that both lines don't touch.
Second Way:
When you look for vertical asymptotes, you set the denominator equal to zero and solve.
For example, the second question has a denominator of x-3.
x-3=0
x=3 (This is the vertical asymptote)
When you look for horizontal asymptote, you do long division.
For example, the first question [tex]f(x)=\frac{2x}{x-3}[/tex]
The answer will be 2. 2 is the quotient. You only want quotient not remainder.
y=2.
Box method sixty three
times thirty nine
Answer:
6237
Step-by step explanation
60 x 30 = 1800
30x3=90
9x60=540
9x3=27
1800+90+540+27=6237
Divide x4+2x2−24
by x+2
[tex]\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }[/tex]
[tex]\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}[/tex]
253 19/26 rounded to the nearest ten
Answer:
250
Step-by-step explanation:
As a decimal 253 and 19/23 can be written as 253.73
If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.
Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.
PLEASE HELP WITH THIS ONE QUESTION
Step-by-step explanation:
thanks for the 5 points
......
find perimeter and area
Answer:which one
Step-by-step explanation: which one 50
What is square 68 in simplest form
Answer:
4624 hope this helps
[tex] \sqrt{2 ^{2} } \times \sqrt{17} [/tex]
4. Simplify the radical expression and get
[tex]2 \sqrt{17} [/tex]
Draw pictures to show two ways to buy 324 marbles
Answer:
Step-by-step explanation:
ILL give u 35 points if u answer this. i need help
!!!25 Points HELP ME PLS ASAP
Answer:
$4.03
Step-by-step explanation:
because 15% of 3.50 is 0.525
take 0.525 and round it up (0.53)
3.50 + 0.53 = $4.03
Answer:
$4.03
Step-by-step explanation:
there are two ways to work this problem:
a) find out what 15% of 3.50 and add it to 3.50; requires two steps
b) multiply 3.50 and 1.15 which will give you the answer in one step
Solutions:
a) 3.5 × .15 = 0.5250 which is 0.53 rounded to the nearest penny
now add 3.50 and 0.53 to get 4.03
b) multiply 3.50 and 1.15 to get 4.025 and round to 4.03
factorise 8x+12
please
Answer:
4(2x+3)
Step-by-step explanation:
8x+12
factor out 4
4(2x+3)
How do you solve 4 over 5 times 3.75
Answer:
3
Step-by-step explanation:
First of all simplify 4/5 to .8
Then Multiply: .8*3.75=3
9514 1404 393
Answer:
4/5×3.75 = 3
Step-by-step explanation:
There are many solution strategies available. Among them are ...
use a calculator to find 4/5×3.75 = 3convert the numbers to decimal and multiply by hand 0.8×3.75 = 3.000compute 2(2×3.75)/5 = 2(7.5)/5 = 15/5 = 3 in your headconvert 3.75 to an improper fraction and multiply (4/5)(15/4)=15/5=3__
Additional comment
The mental arithmetic involved in adding a number to itself (doubling a number) is usually pretty easy. This means it is relatively easy to multiply by powers of 2, such as 4, 8, or 16. The second strategy listed above can be done in your head as ...
8/10×3.75 = 2×(2×(2×3.75))/10 = 2×(2×7.5)/10 = 2×15/10 = 30/10 = 3
The same product can be found as ...
8/10×3.75 = 8×(3.75/10) = 8×0.375 = 8×(3/8) = 3
In all cases, it is helpful to know your times tables, decimal equivalents of common fractions, and a few shortcut strategies for mental arithmetic. These are not difficult, but they do require you put some effort into memorizing them.
-3/5 is greater than or less than -4/5
-3/5 is greater than -4/5
Step-by-step explanation:
If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.
can someone help please
(f+g)(7)=f(7)+g(7)
Step-by-step explanation:
A) f(7)=7²=49 and g(7)=√5=~2,2 and 49+2,2=51,2
B) f(7)/g(7)=49/2,2= 22,2
Tara bought 4 kg of walnuts for $7.85 per kg and 4 kg of almonds for $7.77 per kg. He gave the cashier a $100 bill. What should Tara get back in change?
Answer:
$37.52
Step-by-step explanation:
8/3 * (-2 1/2) the product is
Answer:
-28
Step-by-step explanation:
You have to do the parenthesis 1st, then the [tex]\frac{8}{3}[/tex], and multiply the result :D
-14 + 6x = 1 - 3x what is x
Answer:
X = 5/3
Step-by-step explanation:
-14 + 6x = 1 - 3x
-14 + 9x = 1
9x = 15
x = 5/3
Hope this helps! Pls give brainliest!
Answer:
[tex]x = 1\frac{2}{3} [/tex]Step-by-step explanation:
To find:Value of x
Equation:-14 + 6x = 1 - 3x
=> 6x + 3x = 1 + 14
=> 9x = 15
[tex] = > x = \frac{15}{9} [/tex]
[tex] = > x = \frac{5}{3} [/tex]
[tex] = > x = 1 \frac{2}{3} (ans)[/tex]
4-8m=-8-5m what is m
Answer:
-9m-4
Step-by-step explanation:
Move the -4 to the right hand side by adding 4 to both sides, like this: To the left hand side:
-4 + 4 = 0
9m ‹ 5m
Help me with my math, please
is -5.25 greater than -3
Answer:
False -5.25 is < (less than) -3
Step-by-step explanation:
Evaluate 2x2y3 when x=2\3 and y=1\2
Answer:
The answer is 4
Step-by-step explanation:
2(2/3)2(1/2)3
class 6 MATHS! is this correct???
Answer:
yes Bro it is correct ar u writing an exam
Explain why rational numbers are "friendly."
Answer:
What makes a number friendly?
In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.
Step-by-step explanation:
2x=14−2
Find the value of x
Don't give wrong answer
Answer:
[tex]\sf\longmapsto \: x = 6[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 14 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 12[/tex]
[tex]\sf\longmapsto \: x = \frac{12}{2} [/tex]
[tex]\sf\longmapsto \: x = 6[/tex]
Answer:
x = 6
Step-by-step explanation:
Hey there,
[tex]2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm
Please help what is 399/20 simplified
Answer:
19 19/20 in fraction
19.95 as a decimal
Step-by-step explanation:
Answer:
19 and 19/20
Step-by-step explanation:
The bar in a fraction stands for dividing
so you divide 399 by 20 which is 19 and 19 remainder
you turn the remainder into a fraction and the number into a whole number