Answer:
a) 0.04
b) 0.54674
c) 0.10565
d) It is not unusual to have preterm babies
Step-by-step explanation:
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean, μ = 272 days and standard deviation, σ = 16 days.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
(a) What proportion of pregnancies lasts more than 300 days?
z = 300 - 272/16
= 1.75
Probability/proportion value from Z-Table:
P(x<300) = 0.95994
P(x>300) = 1 - P(x<300) = 0.040059
Approximately = 0.04
(b) What proportion of pregnancies lasts between 260 and 284 days?
For x = 260 days
z = 260 - 272/16
= -0.75
Probability value from Z-Table:
P(x = 260) = 0.22663
For x = 284
z= 284 - 272/16
= 0.75
Probability value from Z-Table:
P(x = 284) = 0.77337
The proportion of pregnancies lasts between 260 and 284 days is
P(x= 284) - P(x = 260)
0.77337 - 0.22663
= 0.54674
(c) What is the probability that a randomly selected pregnancy lasts no more than 252 days?
No more than means less than or equal to, hence, we are to find
P ≤ 252 days
Hence,
z = 252 - 272/16
= -1.25
Probability value from Z-Table:
P(x ≤ 252) = 0.10565
(d) A "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies unusual?
We find the probability of 236 days
For x = 236
z = 236 - 272/16
z = -2.25
Probability value from Z-Table:
P(x<236) = 0.012224
Converting to percentage = 1.2224%
Hence, it is not unusual to have preterm babies
EASY BRAINLIEST , What is the equation of the line parallel to the line y = 4 and passing through the point (2, -1)?
Answer:
y = 2
Step-by-step explanation:
Since the line is horizontal, and the line goes through the x-coordinate 2, this is the equation
The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?
Noah said, "Division always results in a smaller number. When you divide a number by a second number, the result will always be smaller than the first number."
Jada said, "I disagree. I think the result can be larger or smaller, depending on the number you are dividing by."
Do you agree with Noah or Jada?
LaTeX: 20\div420÷4 results in a number
[ Select ]
20.
LaTeX: 20\div\frac{1}{4}20÷14 results in a number
[ Select ]
20, so
[ Select ]
is correct.
Answer:
Step-by-step explanation:
Greater, provided the divisor is positive.
It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.
If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).
Help me with the questions 1-4, thank you! :)
Answer:
1) Slope is 2/1 and the y-intercept is 2 --> y = 2x+ 2
2) Slope is -1/3 and the y-intercept is -3 --> y = -1/3x -3
The images for question 3 and 4 are below:
The equations for
3) y = 1/3x - 5
4) y = -2x-8
Step-by-step explanation:
Sherry's age is nine less than six times Fred's age. Write an equation and find Sherry's
age if Fred is 10 years old.
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. Explain your reasoning.
5 meters and 22 meters.
19 inches and 60 inches.
33 centimeters and 80 centimeters.
Answer:
19 inches and 60 inches
Step-by-step explanation:
Solve for the variable
-3/4b = 2
Answer:
b = 2.666.......
Step-by-step explanation:
[tex]-\frac{3}{4} b = 2[/tex]
------ -----
[tex]-\frac{3}{4}[/tex] [tex]-\frac{3}{4}[/tex]
b = 2.666.....
3/2 * (-5/8) what is the an
Answer:
-15/16
Step-by-step explanation:
3/2 x (-5/8) = 12/8 x -5/8 = -60/64 = - 15/16
Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left. Why?
Answer:
Because we actually divide by 10 when a number is multiplied by 0.1.
Step-by-step explanation:
Let [tex]a[/tex] be a number.
When we multiply a number by 10:
[tex]a \times 10 = 10 a[/tex] (One '0' is increased in the number)
For example:
[tex]23 \times 10 = 230[/tex]
Considering a decimal number:
[tex]2.3 \times 10 = 23[/tex]
Multiplying a number with 0.1 (which is actually [tex]\frac{1}{10}[/tex]) means dividing the number by 10.
[tex]23\times 0.1 =23\times \frac{1}{10}=2.3[/tex]
Considering a decimal number:
[tex]2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23[/tex]
Therefore, When multiplying a number by 0.1, move the decimal to the left.
Answer:
Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.
Step-by-step explanation:
hope this helps
11(p-3)=5(p+3) really need an answer please hahaha
Answer:
P = 8
Step-by-step explanation:
Answer:
p=104/33
Step-by-step explanation:
Quadrilateral JKLM was dilated according to the rule
DO,One-half(x,y)(one-half x, one-half y) to create the image quadrilateral J'K'L'M', which is shown on the graph.
On a coordinate plane, quadrilateral J prime K prime L prime M prime has points (0, negative 2), (3, 2), (6, negative 2), and (3, negative 6).
What are the coordinates of vertex J of the pre-image?
(0, -4)
(0, -1)
(0, 0)
(0, 4)
Answer:
b is the answer
Step-by-step explanation:
What is the solution to the system of equations below?
y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equations
[tex]y=-6x-10[/tex]
[tex]y=-3x-21[/tex]
solving the system of the equations
Arrange the equation variables for elimination
[tex]\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}[/tex]
[tex]y+3x=-21[/tex]
[tex]-[/tex]
[tex]\underline{y+6x=-10}[/tex]
[tex]-3x=-11[/tex]
[tex]\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}[/tex]
solve
[tex]-3x=-11[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{-11}{-3}[/tex]
[tex]x=\frac{11}{3}[/tex]
[tex]\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y=-32[/tex]
Therefore, the solutions to the system of the equations are:
[tex]y=-32,\:x=\frac{11}{3}[/tex]
But, it seems none of the options is true.
Answer:
A. (2, -22)
Step-by-step explanation:
I just took the test and i got a one hundred! I really hope it helped!!!!
An amount P at 4.5% for 12 years compounded monthly increased to $20000.00. What is P? (Round answer to cents)
Proportional relationships; Yes or no
Answer:
Yes I believe
Step-by-step explanation:
Help me solve this problem please
Answer:
The answer is B cause thats the slope of the line
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
for starters the equation is:
y = -2/4 + 3
It then simplifies to:
y = -1/2 + 3
Making your answer B.
A surveyor is surveying a street. The surveyor is standing at point Plooking down the street at a No Parking sign at point A and a stop sign at point R. Given PA=3x-4, PR=21 meters, AR=7 meters and point A is between point Rand point What is the value of x in meters?
Answer:
Step-by-step explanation:
If point A is between P and R, then;
PA+AR = PR
Given
PA=3x-4,
PR=21 meters,
AR=7 meters
Substitute
3x-4 +7 = 21
3x+3 = 21
3x = 21-3
3x =18
x =18/3
x = 6
Hence the value of x is 6m
y = 3x + 4
the Answer
Answer:
hope u have a nice day
Step-by-step explanation:
How many bottles did eric buy for his friends
Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details
Step-by-step explanation:
I’m in a test pls help
Use inductive reasoning to write the next two terms in each sequence of numbers.
B.) 720, 180, 360, 90, _____, _____ .
Answer: 180, 45
Step-by-step explanation:
First, you look at the patterns for each numbers, so you can apply the rules for the next two sequences
720 divided by 180 = 4
360 divided by 180 = 2
360 divided by 90 = 4
for the next sequences, you multiply the last number by 2 (90 x 2 =180)
then divide the answer by 4 to get the answer (180 divided by 4 = 45)
so the next two numbers are 180, 45
Mark me as the brainiest answer
PLS HELP ILL MARK YOU AS BRAINLESS WHATS THE ANSWER TO THESE QUESTIONS
use the distributive property to expand this equation please2/3 (18x + 6z)
Answer:
12x + 4z
Step-by-step explanation:
Given: 2/3 (18x + 6z)
Multiply the fraction 2/3 into each term
([tex]\frac{2}{3}[/tex])*18x + ([tex]\frac{2}{3}[/tex])*6z
[tex]\frac{36}{3}[/tex]x + [tex]\frac{12}{3}[/tex]z
12x + 4z
i need the answer to this please help
Answer:
-1/11
Step-by-step explanation:
[tex]\frac{11x}{12} -\frac{1}{6} =\frac{-1}{4}[/tex] add 1/6 to both sides
[tex]\frac{11x}{12} =\frac{1}{6} -\frac{1}{4}[/tex] make the same denominator 12 on the right side
[tex]\frac{11x}{12} =\frac{1}{6}*\frac{2}{2} -\frac{1}{4}*\frac{3}{3}[/tex] solve
[tex]\frac{11x}{12} =\frac{2}{12} -\frac{3}{12} =\frac{2-3}{12} = \frac{-1}{12}[/tex]
[tex]\frac{11x}{12}*12 =\frac{-1}{12} *12[/tex] multiply by 12 both sides
11x= -1 divide by 11
x= -1/11
WHO WOULD WIN IN A FIGHT?
A SHAOLIN MONK vs A NAGA SADHU
Answer:
Shaolin Monk
Step-by-step explanation:
They are epic gamers. no but fr
Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis
Help please it's for a test!!
Answer:
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-a
help please this is hard .
Answer: is A because they are equal
7th Grade Math
Please help
I will give brainliest!!
19 = 5/3 r
Find the value of r
Answer:
[tex]\huge\boxed{r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4}[/tex]
Step-by-step explanation:
[tex]19=\dfrac{5}{3}r\to\dfrac{5}{3}r=19\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{5}{3\!\!\!\!\diagup}r=19\cdot3\\\\5r=57\qquad|\text{divide both sides by 5}\\\\\dfrac{5r}{5}=\dfrac{57}{5}\\\\r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4[/tex]
What’s the answer to the question
Answer:
Slope = -2, y-intercept = 12 (b)
Step-by-step explanation:
Using the slope formula:
slope = change in y (y2-y1) / change in x (x2-x1)
slope = (12-18)/(0+3)
slope = -6/3
slope = -2
The slope is -2
If you look in the table, when x=0, the y value equals 12. This means that the y-intercept = 12, since the y-intercept is when the x equals 0. Thus we have our answer.
Ray LN is the perpendicular bisector of segment JK.
15) Find KP.
16) Find JP.
Solve and show your work.
Answer:
ok i think "kp" is 17x but i am not 100% sure
Step-by-step explanation:
Answer: kp
Step-by-step explanation:
Helpp with bothhhh!!!!!
Answer:
3. x = 5
4. -5 1/25
Step-by-step explanation:
-3x+5=-10
Subtract the 5 from both sides...
-3x = -15
Divide by -3
x = 5
For 4, it's just multiplying.
-2 4/5 in improper form is -14/5
1 4/5 in improper form is 9/5
-14/5 x 9/5 is -126/25
-126/25 can be -5.04 or -5 1/25.
Answer:
3. a (x=5)
4. -126/25
Step-by-step explanation:
3. -3x+5=-10
-3x=-10-5
-3x=-15
x=5
4. -(-2 4/5) x 1 4/5
(-14/5) x 9/5
= -126/25
At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower was 20 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after w weeks?
Answer:
24 inches
Step-by-step explanation: