Answer:
[tex]P(x< 240) = 0.0521[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 266[/tex]
[tex]\sigma = 16[/tex]
Required
[tex]P(x < 240)[/tex] --- pregnancy will last less than 240 days
First, calculate the z score
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
Where:
[tex]x = 240[/tex]
So, we have:
[tex]z = \frac{240 - 266}{16}[/tex]
[tex]z = \frac{-26}{16}[/tex]
[tex]z = -1.625[/tex]
So:
[tex]P(x< 240) = P(z < -1.625)[/tex]
From z probability:
[tex]P(z < -1.625) = 0.052081[/tex]
[tex]P(z < -1.625) = 0.0521[/tex] --- approximated
So:
[tex]P(x< 240) = 0.0521[/tex]
HELPPPPPPPPPPPPPPPPPPPP
Answer:
b.
Step-by-step explanation:
c= 3r
such that 3(6) = 18 ...
my last question 30 pts plzzzzzzzzz help
An expression is shown below:
4(m + 3 + 5m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
A) 48m + 12 and 3(2m + 4 + 14m)
B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.
C) m = 2
6(m + 2 + 7m)
6[2 + 2 + 7(2)]
6(4 + 14)
6(18) 1
108
3(2m + 4 + 14m)
3[2(2) + 4 + 14(2)]
3(4 + 4 + 28)
3(8 + 28) 3
(36) 108
108 = 108
Suppose we are interested in bidding on a piece of land and we know one other bidder isinterested. The seller announced that the highest bid in excess of $10,000 will be accepted.Assume that the competitor’s bid x is a random variable that is uniformly distributedbetween $10,000 and $15,000.a. Suppose you bid $12,000. What is the probability that your bid will be accepted?b. Suppose you bid $14,000. What is the probability that your bid will be accepted?c. What amount should you bid to maximize the probability that you get theproperty?d. Suppose you know someone who is willing to pay you $16,000 for the property. Wouldyou consider bidding less than the amount in part (c)? Why or why not?
Answer:
a. 0.4 = 40% probability that your bid will be accepted
b. 0.8 = 80% probability that your bid will be accepted.
c. $15,000.
d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.
This means that [tex]a = 10, b = 15[/tex], considering the measures in thousands of dollars.
a. Suppose you bid $12,000. What is the probability that your bid will be accepted?
Probability that the other bidder's bid is less than 12000(X < 12). So
[tex]P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4[/tex]
0.4 = 40% probability that your bid will be accepted.
b. Suppose you bid $14,000. What is the probability that your bid will be accepted?
Probability that the other bidder's bid is less than 14000(X < 14). So
[tex]P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8[/tex]
0.8 = 80% probability that your bid will be accepted.
c. What amount should you bid to maximize the probability that you get the property?
The upper bound of the uniform distribution, that is, $15,000.
d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?
Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).
Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)
Answer:
D is the answer to the question
Hakim is making birdhouses. Each birdhouse uses 78 yard of wood.
What is the total length of wood Hakim will need to build 5 birdhouses?
A. 438 yards
B. 578 yards
C. 148 yards
D. 928 yards
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Hope this helps!!!
A bicycle wheel has a diameter of 26 inches. What is the circumference?
Answer:
81.64 Inches
Step-by-step explanation:
Given :
Diameter of wheel =26 inches
Radius of wheel (r)=26/2=13 inches
Circumference (C) of wheel can be calculated as :
C= 2πr
C=6.28(13)
C=81.64 Inches
Giving out brainliestttt answer !!! help me out?!!!
Answer:
F= 60.256
D = 29.744
Step-by-step explanation:
This is a completely different from the way usually I do it
B = arcsin(b·sin(A)a)
= 1.05166 rad = 60.256°
180-60.256-90 = 29.744°
Which point on the x-axis lies on the line that passes point C and is parallel to line AB
Answer:
(2,0)
Step-by-step explanation:
Part A
Will be marked brainliest
Monique’s group will design a float for the I love my city parade. They plan to highlight the city’s train system by making a float of the MetroPass.
*SEE PICTURES FOR ACTUAL MEASURES*
The actual MetroPass is 2.1 inches wide and 3.4 inches long. Moniques group wants the MetroPass float to be 74.8 ft long. Her group needs to find the width of the MetroPass float.
How wide, in feet, will the MetroPass float be? Round you answer to the nearest tenth. Show your work.
*WILL BE MARKED BRAINLIEST*
Answer:
74.8 ft÷3.4 inches=264
2.1 in x 264=46.2 inches so the width should be 46.2 inches
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
20 points probability question
Answer:
a. n^2-2n+1/n squared
b. 9 green counters
Step-by-step explanation:
just as you role 3 dices and the chances are MULTIPLIED, the same goes for this problem.
n-1/n times n-1/n would create the probability of getting 2 green counters randomly from the bag's possibility.
n-1/n times n-1/n can be said as (n-1) squared or in simple terms:
n^2 -2n+1 or in words, n squared -2n +1.
divided by n squared is the fraction probability in simplest form:
n^2-2n+1/n squared
the next question is actually much easier:
0.9 is 90% in percentages, this can be detrimental to your grade if your teachers asked you for the decimal, not percentage of it.
for 1 every yellow counter, there is 9 green counters. so in the bag, there is one yellow counter meaning there are 9 green counters in the bag (after finishing the first question)
Part (a)
Answer: (n-2)/n----------------
Explanation:
There are n-1 green counters to start out of n counters total.
The probability of selecting a green counter is (n-1)/n
The probability of selecting a second green counter is (n-2)/(n-1) since we're not putting the first counter back.
Multiplying the two fractions leads to (n-2)/n
Note how the (n-1) terms cancel.
===============================================================
Part (b)
Answer: 19 green counters----------------
Explanation:
We set the result of part (a) equal to 0.9 and solve for n
(n-2)/n = 0.9
(n-2)/n = 9/10
10(n-2) = 9n ... cross multiply
10n-20 = 9n
10n-9n = 20
n = 20
We have 20 counters in the bag. One counter is yellow and the remaining n-1 = 20-1 = 19 are green.
The probability of getting one green counter is 19/20
The probability of a second green counter is 18/19
The probability of two green counters is (19/20)*(18/19) = 18/20 = 9/10 = 0.9
This helps confirm the answer.
What is the horizontal distance between (−5/3, -2) and (4, -2)?
ANSWER QUICK GIVING BRAIN LEST
Answer:
-2?
Step-by-step explanation:
use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.
Ali surveyed his classmates to see who liked tennis. In all, 32 males liked tennis, and 6 males did not like tennis; 13 females liked tennis, and 4 females did not like tennis. How many females did Ali survey
Answer:
Ali surveyed 17 females.
Step-by-step explanation:
From Ali's survey:
13 females liked tennis, while 4 did not.
This means that Ali's surveyed 13 + 4 = 17 females.
How many females did Ali survey?
Ali surveyed 17 females.
What the mass of Earth's water?
Answer:
The total mass of Earth's hydrosphere is about 1.4 × 1018 tonnes, which is about 0.023% of Earth's total mass. At any given time, about 20 × 1012 tonnes of this is in the form of water vapor in the Earth's atmosphere (for practical purposes, 1 cubic meter of water weighs one tonne).
Step-by-step explanation:
help me solve this question its coming in my next math test and i cant solve it!
Answer: sorry I can't help you
Step-by-step explanation: because the picture won't show up.
In ATUV, the measure of _V=90°, VU = 84, TV = 13, and UT = 85. What ratio
represents the cotangent of _T?
U
85
84
T
13
a) Two thirds of the class are freshman
Is it parameter or statistic
Answer:
parameter
Step-by-step explanation:
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ= 7. Compute the probability.
Complete question is;
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?
Answer:
P(X > 42) = 0.1271
Step-by-step explanation:
We are given;
mean; μ = 50
Standard deviation; σ = 7
Formula for the z-score is;
z = (x - μ)/σ
Thus;
z = (42 - 50)/7
z = -1.14
Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.
We have;
P(X > 42) = 0.1271
How many 3/4 inch strips for caulk to cover 10 1/2 inches
Answer:
14
Step-by-step explanation:
So let's think smart. If you look at the image I made a diagram. The 3 squares I colored in represent 3/4. It takes 14 3/4 strips to cover 10 1/2 inches.
The Number of 3/4 inch strips required to cover 10 1/2 inches of caulk will be 14
The total inches of caulk to be covered = 10 1/2 inches
The fraction of inch strip to be used = 3/4 inches
To obtain the number of 3/4 inch strop required ;
We divide the total inches of caulk by 3/4
Hence,
10 1/2 ÷ 3/4
21/2 ÷ 3/4
Change the sign to × and take the reciprocal of 3/4 ;
21/2 × 4/3
(21 × 4) / (2 × 3) = 84 / 6
84 / 6 = 14
Hence, the number of 3/4 inch strip required is 14
Learn more : https://brainly.com/question/2610134
In how many ways can 10 people be seated in 10badjacenr seats in a theater
how are they the same
Answer:
Step-by-step explanation:
The ways that they are the same are.
The slope is the same.Since the slope is the same for both of them, there is no possible solution meant for both of them. The slope is 1/4They are both written in slope y intercept form.The only difference is the y intercept is different. y intercept for y = 1/4 x is 0,0y intercept for y = 1/4 x is 0,5A balloon is 4 ft above the ground. It is released and floats up 3 ft
every second. Write an equation to model the height of the balloon
as a function of time in seconds. Write your answers in the blanks.
Answer:
4+(3 times x)= height of balloon. x = seconds
Step-by-step explanation:
I hope this helps you! :D
Before simplifying, how many terms are there in the expression -2x+8 -6y + 8x + 11?
5
6
3
4
Answer:
There are 5 terms in the given expression.
Please help quickly I really don’t understand this question and i’m freaking out.
Answer:
[tex] \frac{4 \sqrt{3x} }{9} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...Can you help me please
Answer:
no solution
Step-by-step explanation:
[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]
The LCD is 4, so multiply both sides of the inequality by 4.
[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]
[tex]2x - 6 > 2 \times (x - 3)[/tex]
[tex]2x - 6 > 2x - 6[/tex]
Subtract 2x from both sides.
[tex]-6 > -6[/tex]
Since -6 = -6, the above statement is false, so there are no solutions.
Answer: no solution
Helpppppppppppppp:))))
Given:
Principal value = $1500
Rate of interest = 7% per annum compounded daily
Time = 2 years.
To find:
The amount after 2 years.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.
We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.
Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get
[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]
[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]
[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]
Using calculator, we get
[tex]A\approx 1725.39[/tex]
The amount after two years is $1,725.39. Therefore, the correct option is (c).
PLS HELP !!!! WILL MARK BRAINLIEST !!
Answer: Choice C) no solution
=============================================================
Explanation:
The first equation says that y and 3x-4 are the same thing.
So we can replace every copy of "y" in the second equation with "3x-4" like so
9x - 3y = 14
9x - 3(3x-4) = 14
9x - 9x + 12 = 14
0x + 12 = 14
0 + 12 = 14
12 = 14
The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.
In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).
If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.
Answer:
there is no solution to this problem
Step-by-step explanation:
I hope this helps
Find the missing probability
P(A) = 0.8
P(B) = 0.05
P(A or B) = 0.6
P(A and B) =
Answer:
2
Step-by-step explanation:
Which table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1
Answer:
Table C is the answer
Step-by-step explanation:
2) What is the probability you roll an odd number on a six-
sided die ?
Answer:
1/2 or 0.5
Step-by-step explanation:
All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.
