Answer:
66.48% of full-term babies are between 19 and 21 inches long at birth
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean length of 20.5 inches and a standard deviation of 0.90 inches.
This means that [tex]\mu = 20.5, \sigma = 0.9[/tex]
What percentage of full-term babies are between 19 and 21 inches long at birth?
The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20.5}{0.9}[/tex]
[tex]Z = 0.56[/tex]
[tex]Z = 0.56[/tex] has a p-value of 0.7123
X = 19
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19 - 20.5}{0.9}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a p-value of 0.0475
0.7123 - 0.0475 = 0.6648
0.6648*100% = 66.48%
66.48% of full-term babies are between 19 and 21 inches long at birth
Find the area of the shape shown below...
Answer:
[tex]240~sq~units[/tex]-----------------
[tex]1/2*base*height+base*height[/tex][tex]=1/2*20*4+20*10[/tex][tex]=40+200[/tex][tex]= 240[/tex]----------------------
hope it helps...
have a great day!!
____ 2. The set of numbers {9, 8, 7, …}
A. x > ‐4
B. x < ‐4
C. x >_ ‐4
D.x <_ ‐4
Answer:
A. x > -4
Step-by-step explanation:
< less than
>greater than
the unknown number x is greater than -4
{9, 8, 7, ...} the number is counting down. So the next number is 6.
is 6 greater than -4
or less than -4
therefore
x(which is 6) is greater than -4
x > -4
Answer:
c
Step-by-step explanation:
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
Describe the relationship of the formula.
y = kx
If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another
This box is packed with cubes that measure one cubic foot.
enter the volume of the box in cubic feet.
Answer:
72ft^3
Step-by-step explanation:
I first took a single slice off the box and counted how many cubes there were. By looking at the blue side, I counted 12 cubes in that slice. I then counted how many slices were in the box, which were 6.
12* 6 = 72ft^3
Find the sum of -3x2 -4x+3 and 2x2-x+3
Answer:
Assuming the 2 at the ends are the exponents,
the answer is -x^2-5x+6 (x^2+5x-6)
from here, it cannot be simplified more
Explanation --
Just add everything by putting the terms in parentheses and adding them.
Keep simplifying by putting the like terms together and adding/subtracting them.
At the end, you come up with -x^2-5x+6, so multiply -1 on the whole thing (by putting parentheses on its sides. This makes x positive. But they are the same thing, but this step is just for simplifying the end product a little more.
Hope this helps!! Have a nice day!
Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?
Answer:
It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.
Step-by-step explanation:
This question is solved by rates, using a rule of three.
52 miles in one hour. How many hours for 247 miles?
1 hour - 52 miles
x hours - 247 miles
Applying cross multiplication:
[tex]52x = 247[/tex]
[tex]x = \frac{247}{52}[/tex]
[tex]x = 4.75[/tex]
It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.
PLEASE PLEASE HELP I will give BRAINLIEST
Anthony deposits 1,250 in a savings account with an interest rate of 6% if the Interest rate is compounded monthly than the account balance after t years is given by the expression below 1250(1+0.06/12)^12t what does (1+0.06/12t) represent
(nevermind srry, that was wrong)
Answer: represents the growth factor which reveals the monthly interest rate.
Step-by-step explanation:
Anthony's account balance can be modeled by the general compound interest formula shown below, where P is the initial amount, r is the annual interest rate, n is the number of times that the interest in the account is compounded per year, and t is the time period.
Consider the given expression.
1250(1+0.06/12)^12t
In the given expression, "1" represents 100% of the money in the account at the start of the month and "" represents the percentage of the account balance that gets added into the account at the end of each month. This is the monthly interest rate and the entire expression,(1+0.06/12t) , is the factor of growth.
Therefore, (1+0.06/12t)represents the growth factor which reveals the monthly interest rate.
Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
using pythagoras theorem formula
a^2+b^2=c^2
19^2+52^2=c^2
361+2704=c^2
[tex]\sqrt{3065}[/tex]=c
55.36=c
55=c
Find the sum of the geometric series if n=6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
5/14 x 7/30 in its simplest form
Answer:
Step-by-step explanation:
1/12
Find the missing measure for a right circular cone given the following information.
Find h if r = 5 and V = 100 pi.
4
12
30
Answer:
[tex]Volume = \frac{1}{3} \pi r^2 h \\\\r= 5\\Volume = 100\pi\\\\Find \ h.\\\\h = 3\frac{V}{\pi r^2} = 3 \times \frac{100 \pi}{\pi \times 5^2} = 3\times \frac{100}{25} = 3 \times 4 = 12[/tex]
What is the range of possible sizes for side x?
Answer:
x = 3.96
Step-by-step explanation:
To find the missing side length you'll need the formula a^2 + b^2 = c^2
a and b would be the shorter ends, 2.8 and 2.8
c would be the longer end that's opposite the right angle.
so substitute values
2.8^2 + 2.8^2 = c^2
7.84 + 7.84 = c^2
15.68 = c^2
√15.68 = √c^2
3.959797 = c
c = 3.96
side c would be side x so x is 3.96
Which value of x makes the equation 2+4(6-2x)= 8 true?
Answer:
Step-by-step explanation:
2+4(6-2x)=8
2+24-8x=8
26-8x=8
26-8=8x
18/8=x
2.25=x
substitute the value of x
2+4(6-2x)
2+4(6-2*2.25)
2+6
8
therefore 8=8 so it is true
Answer:
Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.
A tube-feeding formula is administered to a patient via Gastrostomy at 75
ml/hr. The formula contains 6.5% protein. How much protein will the patient
receive in the entire day, if the feeding must be held (stopped) for 2 hours
before and 2 hours after the administration of Dilantin twice a day?
39
Answer:
97.5ml protein
Step-by-step explanation:
20hr * 75ml/hr = 1500ml
1500ml * .065 = 97.5ml protein
The patient will receive 78 ml protein in the entire day.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Tube feeding formula = 75 ml/hr
Protein content = 6.5% of 75 ml/hr = 0.065*75 ml/hr
⇒ Protein content = 4.875 ml/hr
Now since, the feeding must be held (stopped) for 2 hours before and 2 hours after the administration of Dilantin twice a day
So, Stoppage total hours = 2(2 + 2) = 2*4
⇒ Stoppage total hours = 8
Thus, total hours in a day when formula is feed = 24 - 8 = 16 hours
Thus Protein received by patient = 16hr * 4.875 ml/hr
⇒ Protein received by patient = 78 ml
Thus, the patient will receive 78 ml protein in the entire day.
To learn more about expressions :
brainly.com/question/11568837
#SPJ2
Determine the smallest integer value of x in the solution of the following inequality.
-3x+10≤5
Answer: The smallest integer value of x in the solution is 1.
Step-by-step explanation:
The given inequality: [tex]-3x+10\leq5[/tex]
To solve the inequality, we first subtract 10 from both sides
[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]
Multiply negative sign on both sides ,we get
[tex]3x\geq5[/tex]
Divide both sides by 3, we get
[tex]x\geq\frac{5}{3}[/tex]
i.e. [tex]x\geq 1.6666666667\\[/tex]
[tex]x\geq1[/tex]
Hence, the smallest integer value of x in the solution is 1.
Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5
571
Solve 2x^2
+ x - 4= 0.
x2 +
= 0
DONE
[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]
[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]
[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]
[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]
[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]
[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]
[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]
[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]
Determine whether the statement is always, sometimes, or never true. Lines AB, CD, and EF determine plan P. If GH intersects AB, then GH lies on plan P.
=======================================================
Explanation:
The plane P can be thought of a perfectly flat ground. Now imagine a flag pole which represents line GH. If AB is drawn in chalk on the pavement, and this line AB intersects the base of the flagpole, then we've made AB and GH intersect. However, this example shows that GH is not on the plane P.
Is it possible to have GH be in the the plane? Yes. We could easily draw another chalk line on the ground to have it intersect AB somewhere. But as the previous paragraph says, it's also possible that GH is not in the plane.
Therefore, the statement is sometimes true
pls help!! correct answer will be marked brainliest
Answer:
67.7
Step-by-step explanation:
Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!
-2x + 9y = 2
4x - 18y = -4
Answer:
6x + 27y = -6
Step-by-step explanation:
i looked it up sooo sorry if its wrong lol
Help me find the volume of the figure.
Answer:
Step-by-step explanation:
since it is a cuboid use this formula
volume of a cuboid=l*w*h
=2*8*3
You have at most 8 hours to spend at a concert and at park. You want to spend at least 3 hours at the concert and more than 4 hours at the park.
i need help badly due today
Answer:
Solid A
Step-by-step explanation:
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
PLS ANSWER RNN
What is the value
of x?
A. 5
B. 8
C. 11
D. 12
Answer:
A.5 i think it is!
byee have a nice day
pleace helppp meeeee
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:.
Step-by-step explanation:
Answer:
Step-by-step explanation:20/29
Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28