Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule
X = 5.5 + 1.6 Z
or
Z = (X - 5.5)/1.6
then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.
1.
Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]
… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]
… ≈ 0.8818
Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.
2.
Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]
… = Pr[Z ≤ 0.3125]
… ≈ 0.6227
Out of 800 babies, around 498 will weigh less than 6 pounds.
3.
Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]
… = Pr[Z > -0.3125]
… ≈ 0.6227
same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.
4.
Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]
… = Pr[0 ≤ Z ≤ 2.1875]
… ≈ 0.4857
Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.
Explain why and show how the expression -x might represent a positive number, a negative
number, or even 0.
The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference between the high and low temperatures for that day? Enter your answer as a decimal in the box.
28.3
Step-by-step explanation:
the difference is the answer to a subtraction problem so we can plug in our numbers like this
25.6-(-2.7) which equals 28.3
a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example
Answer:
He's right it's 28.3
Step-by-step explanation:
Solve 2/5 - 1/7
Help pls this is timed!!!!
Answer:
9/35
Step-by-step explanation:
Answer:
9/35
Step-by-step explanation:
ok so find the lcm of 2/5 and 1/7: this is 35
then convert them
2/5 = 14/35
1/7 = 5/35
14/35 - 5/35 is 9/35
solve 557+3 using number disks
Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.
Pls help Don’t put the answers in files thank you
Answer:
hmmm
Step-by-step explanation:
hmmm
Find the difference (6d+5) - (2-3d)
Answer:
(9d+3)
Step-by-step explanation:
(6d+5)-(2-3d)
>(6d+5)+(-2+3d)
>{(6d+3d)+(5-2)}
=(9d+3)
CAN YOU PLS HELP MEEEE
Answer:
10x−2y
Step-by-step explanation:
Just ask!
Hope this helps. :)
[tex] \: \: \: \: \: \: [/tex]
[tex]10x - 2y[/tex]
Step-by-step explanation:
[tex]8x - 2y + x + x[/tex]
Collect like terms[tex] = \: \: \: \: 10x - 2y[/tex]
hope it helpsPLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT!! (Screenshot)
Help ASAP please. I really need the answer as soon as possible
Answer:
y intercept is 6 and the rate of change is Y=3x+6
Step-by-step explanation:
Answer:
y intercept = 6
rate of change = -4
Step-by-step explanation:
the line hits the y axis at 6 so that is the y intercept
The line falls 4 and goes over 1
I hope this helps!!
PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line
HELP ME PLEASEEEEEE I WILL GIVE BRAINLIEST
Answer:
DE, EW, WD
Step-by-step explanation:
From shortest line to longest line this would be the correct order.
Can u help me with my homework
What is the equation of a circle with center at (4,-6) and radius of 5?
Answer:
Since the centre of the circle is (−4,−5) and its radius =6
Then, the equation of the circle is
⇒(x−(−4))
2
+(y−(−5))
2
=6
2
⇒(x+4)
2
+(y+5)
2
=36
⇒x
2
+8x+16+y
2
+10y+25−36=0
⇒x
2
+y
2
+8x+10y+5=0
Step-by-step explanation:
Paki brainlilest na lng po salamaf
Can someone please help me with both questions I will mark u brilliant
1. We can simply multiply 6.50 by 2!
6.50 x 2 = 13
The book cost $13
2. The easiest way to do this is to convert the fractions into decimals.
1/4 = 0.25
1/5 = 0.2
1/8 = 0.125
Add them together: 0.575!
Subtract this from 1: .425
Multiply by 100: 42.5
42.5% is your answer!
Hope this helps!
Answer: B
Step-by-step explanation:
If b= 62 degrees and c=24, find b.
Answer:
21.2
Step-by-step explanation:
b = sin of angle B times length of c
b = 24*sin(62) = 21.1907
Answer A
21.2
Step-by-step explanation:
explain how you your answer
Answer:
1.43 = x
Step-by-step explanation:
Math in the picture attached. Hope it helps!
write the L.C.M of 5,8
From the given question we are asked to find the least common multiple of two given numbers. Here for this question, we will use the prime factorisation method and find the factors for the two given numbers and then we find the least common multiple for the numbers given. So, we proceed with our solution as follows.
Required Answer :-2 | 5, 8
_______
2 | 5, 4
_______
2 | 5, 2
_______
5 | 5, 1
_________
1, 1
2×2×2×5 = 40
Additional information :-We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division
Find x round. your answer to the nearest tenth of a degree
Answer:
x = 55.6
Step-by-step explanation:
Recall the 3 main trig functions
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
Note that hypotenuse = longest side length
We want to find angle "x".
We are given its opposite side length ( 19 ) as well as the adjacent side length
When dealing with the opposite and adjacent we use tan
Tan = Opp / Adj
Opp = 19 and Adj = 13
Tan(x) = 19/13
* take the inverse tan of both sides *
x = 55.6
could you help me with this? its an ss here:
I’m genuinely confused on this, can someone explain how to do this problem?
Answer:
[tex]n \times 12[/tex]
.......
P(A ∪ B) = 0.8, P(B) = 0.5, P(A ∩ B) = 0.3. Find P(A). P(A) =
Answer:
The answer is 0.6
Step-by-step explanation:
I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.
Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:
x + y + z = 0.8
y + z = 0.5
y = 0.3
If you solve this, you will get:
x = 0.3
y = 0.3
z = 0.2.
To get P(A), you x and y to get x + y = 0.6
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
What is the slope of the line that passes through the points (6-8) and (10,-8)?
Answer:
The slope of the line that passes through the points would be 0
Step-by-step explanation:
Lets use the formula : y2-y1/x2-x1
In this case lets let y2 be -8 and y1 be -8
And lets let x2 be 6 and x1 be 10, that would look like..
-8-(-8)/6-10
which equals...
0/-4 = 0
We know that the slope of the line is 0
Jill bought 7 pounds of melon and 0.9 pounds of cherries. How much fruit did she buy in all
Answer:
7.9 pounds of fruit
Step-by-step explanation:
In all means to add, so 7 + .9 = 7.9 pounds
Find the measure of the angle marked and indicated in bold.
Answer:
105° your answerStep-by-step explanation:
parrallel line = gongruent angles
16x - 7 = 15x
16x - 15x = 7
x = 7
------------------------
7 * 15 = 105° your answer
--------------------------------
16 * 7 - 7 = 15 * 7
105 = 105
the answer is good
Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.
In 2008, up to 405 messages could be sent without spending more than $ 100.
Since in 2008, text messages were charged per text, and some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that, while today, most packages include unlimited text and data but cost closer to $ 100 a month, to determine the range of text messages you can send with the 2008 plan without spending more than $100, the following calculation must be performed:
(41 / 0.2) + 200 = X 205 + 200 = X 405 = X
Thus, in 2008, up to 405 messages could be sent without spending more than $ 100.
Learn more about maths in https://brainly.com/question/25908673
$ 350 is shared in the ratio 2:5. The SMALLER share is
Answer:
$100
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts , then
$350 ÷ 7 = $50 ← value of 1 part of the ratio , then
2 parts = 2 × $50 = $100 ← smaller share
3+3=6! Easy for kids to learn!
Answer:
indeed
Step-by-step explanation:
3+3=6
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]
Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side
[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]
Now, we can plug in our value for x into the given equation
[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]
Open the parentheses
[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]
Merge Y values
[tex]6.8+10.8y=23[/tex]
Separate numerical values from variables
[tex]10.8y=16.2[/tex]
Divide by 10.8 in order to have a coefficient of 1
[tex]y=1.5[/tex]
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.
[tex]5x+3(1.5)=17[/tex]
Open parentheses
[tex]5x+4.5=17[/tex]
Single out the variable
[tex]5x=12.5[/tex]
Divide by 5 to have a coefficient of 1 before x
[tex]x=2.5[/tex]
[tex]y=1.5[/tex]