The length of a human pregnancy is normally distributed with a mean of 270 days with a standard deviation of 8 days. How many days would a pregnancy last for the shortest 15%? Round answer to 2 decimal places. Answer

Answer:

x < -4/7

Step-by-step explanation:

X + 5/7 < 1/7

Subtract 5/7 from each side

X + 5/7  -5/7 <1/7-5/7

x < -4/7

Answer:

x^2

Step-by-step explanation:

[tex]x^4\cdot x^{-2}= \\\\x^{4-2}= \\\\x^2[/tex]

Hope this helps!

Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

[tex]x^4 \times x^{-2}[/tex]

[tex]x^{4+-2}[/tex]

[tex]x^{4-2}[/tex]

[tex]x^{2}[/tex]

Let's think:

1 ton ------------ 1000 kilograms

3.2 tons ----------- x kilograms

Multiply in cross

1 . x = 1000 . 3.2

x = 3200

So 3.2t = 3200 kilograms

Answer:

It is 2902.99 to be exact

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the equation j – 16 = 7, If Nolan is using substitution to determine if 23 is a solution to the equation, then Nolan need to make j the subject of the formula from the equation. The following statements must therefore be made by Nolan.

First, Nolan must substitute for the value of j in the equation.

To simplify, Nolan must subtract the value of  7 from both sides to have;

j – 16 - 7= 7 - 7

j – 23 = 0

Then Nolan must add 23 to both sides of the equation to get the value of j as shown;

j – 23 + 23 = 0+23

j = 23

23 is therefore a solution to the equation

Answer:First, Nolan must substitute 23 for j.To simplify, Nolan must subtract 16 from 23. 23 is a solution of the equation.

Step-by-step explanation:

I got it right on Edge

Answer:

The required sample size 'n' = 97 .41 hours

Step-by-step explanation:

Explanation:-

Given standard deviation of the Population 'σ' = 3 hours

Given the Margin of error = [tex]\frac{1}{2} hour[/tex]

The Margin of error is determined by

[tex]M.E = \frac{Z_{\frac{\alpha }{2} S.D} }{\sqrt{n} }[/tex]

Given level of significance ∝ = 0.10 or 0.90

Z₀.₁₀ = 1.645

[tex]\frac{1}{2} =\frac{1.645 X 3}{\sqrt{n} }[/tex]

Cross multiplication , we get

[tex]\sqrt{n} = 2 X 1.645 X 3[/tex]

√n =  9.87

Squaring on both sides, we get

n = 97.41 hours

Final answer:-

The required sample size 'n' = 97.41 hours

Answer:

The answer is the last one because if the diagonals of a quadrilateral bisect each other then it's a parallelogram.

Answer:

Last answer choice

Step-by-step explanation:

One of the prerequisites for a quadrilateral to be a parallelogram is for the diagonals to bisect each other. Since K is the midpoint, this means that it is halfway between the ends of each of the diagonals, and that they therefore bisect each other. Hope this helps!

Answer:

$783.46

Step-by-step explanation:

Compounded interest rate (quarterly) formula: A = P(1 + r/4)^4t

Simply plug in our known variables and solve:

910 = P(1 + 0.015/4)^4(10)

910 = P(1.00375)^40

910 = 1.16151P

P = 783.464

Answer: 783

Step-by-step explanation:

Answer:

7 donkeys

Step-by-step explanation:

Given

A system consisting of donkeys and tourists

Heads = 50

Legs = 114

Required

Calculate number of donkeys.

Represent donkeys with D and tourists with T.

By means of identification; donkeys and tourists (human) both have 1 head.

This implies that

Number of Heads = D + T

50 = D + T ----- Equation 1

While each donkey have 4 legs, each tourists have 2 legs.

This implies that

Number of legs = 4D + 2T

114 = 4D + 2T ---- Multiply both sides by ½

114 * ½ = (4D + 2T) * ½

57 = 4D * ½ + 2T * ½

57 = 2D + T ----- Equation 2

Subtract equation 1 from 2

57 = 2D + T

- (50 = D + T)

---------------------

57 - 50 = 2D - D + T - T

7 = D

Recall that D represents the number of donkeys.

So, D = 7 implies that

The total number of donkeys are 7

Step-by-step explanation:

Joe mama

Answer:

Given the values: 67,72,86,75,89,89,87 ,90 ,99 and 100.

To create a stem and leaf plot

We place the first digit in the Stem Column and the Second digit in the plot column.

Stem-and-leaf plot of the test scores

[tex]\left|\begin{array}{c|ccccccc}Stem&Leaf\\---&--&--&--&--\\6&7&\\7&2&5\\8&6&7&9&9\\9&0&9\\10&0\end{array}\right|[/tex]

The stem and leaf plot enables us at a glance to see the values or range of the values that are most prevalent.

From the above stem and leaf plot, we can see that values in the range of 80-89 are most prevalent.

Answer:

[tex]n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76[/tex]  

And rounded up we have that n=115

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by [tex]\alpha=1-0.90=0.1[/tex] and [tex]\alpha/2 =0.05[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64[/tex]

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

The proportion of defectives is estimated as: [tex]\hat p=0.04[/tex]. And on this case we have that the margin of error is [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76[/tex]  

And rounded up we have that n=115

A= -2+(-3)×(-8+4)

-2+(-3)×(-4)

-2+12=10

B=-9+8×7+(-12)

-9+56-12=35

C=8-2= -4

D=8÷2=4

E= -4-35= -39

F=153

Answer:

y= -5x +7

Step-by-step explanation:

We can see points on the graph:

The function in general form is:

Let's find the slope and y-intercept as per identified points on the graph:

b= y- mx

Based on the found values of m and b, the given line is:

Answer:

The answer is C: y + 8 = -5(x - 3)

Step-by-step explanation:

I took the assignment on Edge

Answer: B, 1 mile / 5280 ft.

Step-by-step explanation: If you need to convert feet to miles the unit multiplier (ratio) that you use should have miles on top and feet on the bottom so that the feet cancel when you multiply, leaving miles as the unit. B is the only answer that has miles on top and feet on the bottom as well as the correct amounts (1 mile and 5280 ft).

Answer:

$37.50

Step-by-step explanation:

50*.25=12.50

Take $50 - 12.50  = 37.50

Answer:

Step-by-step explanation:

Volume of rectangular prism = length * width * height

                                                = 11 * 8 * 4

                                                = 352 in³

Answer:

[tex]y = (e^{4x}{4} + kx+d) \cdot c_1e^{-3x} =  \frac{e^{x}}{4} + Ae^{-3x}+Bxe^{-3x}[/tex] where A,B are constants.

Step-by-step explanation:

Consider the differential equation [tex]y''+6y'+9y = 4e^{x}[/tex]. To find the homogeneus solution, we assume that [tex]y = Ae^{rt}[/tex] and replace it in the equation [tex]y''+6y'+9y = 0[/tex]. If we do so, after using some properties of derivatives and the properties of the exponential function we end up with the equation

[tex]r^2+6r+9 = 0 = (r+3)^2[/tex]

which leads to r = -3. So, one solution of the homogeneus equation is [tex]y_h = c_1e^{-3x}[/tex], where c_1 is a constant.

To use the order reduction method, assume

[tex] y = v(x)y_h(x)[/tex]

where v(x) is an appropiate function. Using this, we get

[tex]y'= v'y+y'v[/tex]

[tex]y''=v''y+y'v'+y''v+v'y'=v''y+2v'y'+y''v[/tex]

Plugging this in the original equation we get

[tex]v''y+2v'y'+y''v + 6(v'y+y'v) +9vy=4e^{x}[/tex]

re arranging the left side we get

[tex]v''y+2v'y'+6v'y+v(y''+6y'+9y)=4e^{x}[/tex]

Since y is a solution of the homogeneus equation, we get that [tex]y''+6y'+9y=0[/tex]. Then we get the equation

[tex]yv''+(2y'+6y)v' = 4e^{x}[/tex]

We can change the variable as w = v' and w' = v'', and replacing y with y_h, we get that the final equation to be solved is

[tex] e^{-3x}w'+(6e^{-3x}-6e^{-3x})w =4e^{x}[/tex]

Or equivalently

[tex]w' = 4e^{4x}[/tex]

By integration on both sides, we get that w = e^{4x}+ k[/tex] where k is a constant.

So by integration we get that v = [tex]e^{4x}{4} + kx+d[/tex] where d is another constant.

Then, the final solution is

[tex]y = (e^{4x}{4} + kx+d) \cdot c_1e^{-3x} =  \frac{e^{x}}{4} + Ae^{-3x}+Bxe^{-3x}[/tex] where A,B are constants

Answer:

As the P-value is very low, we can conclude that there is enough evidence to support the claim that the survival rate is significantly higher when the seatbelt is used.

Step-by-step explanation:

We have a hypothesis test that compares the survival rate using the seatbelt versus the survival rate not using it.

The claim is that the survival rate (proportion) is significantly higher when the seatbelt is used.

Then, the null hypothesis is that the seatbelts have no effect (both survival rates are not significantly different).

The P-value is the probabilty of the sample we have, given that the null hypothesis is true. In this case, this value is 0.0001.

This is very low, what gives enough evidence to claim that the survival rate is significantly higher when the seatbelt is used.

If we spin the spinner 11 times, 4 is the best prediction possible for the number of times it will land on pink.

To calculate the expected value of a random variable, simply multiply it with the respective probability and sum the respective products.

Given, total number of outcomes=11.

Total number of pink colored spin= 4

Probability of a spin resulting pink color=4/11

Expected number of spins of pink color= [tex]\sum xp(x)[/tex]

=(1×4/11)+(2×4/11)+(3×4/11)+(4×4/11)

=4/11(1+2+3+4)

=40/11

=3.63 ≈ 4

Thus, the best prediction possible for the number of times it will land on pink is 4.

Learn more about expected value, here:

https://brainly.com/question/28197299

#SPJ12

Incomplete:

Image of spinner is missing in the question, Therefore attaching it below:

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

Answer:

  A) 10, -3.73, -6.035, -6.259 . . . cm/s

  B) -6.2832 cm/s

Step-by-step explanation:

A) For problems like this, where repeated evaluation of a function is required, I find a graphing calculator or spreadsheet to be an appropriate tool. The attached shows that we defined the position function ...

  p(t) = 2sin(πt) +5cos(πt)

and a function for computing the average velocity from t=1. For some time interval ending at t2, the average velocity is ...

  Va(t2) = Δp/Δt = (p(t2) -p(1))/(t2 -1)

Then, for example, for t2 = 2, the average velocity on the interval [1, 2] is ...

  Va(2) = (p(2) -p(1))/(2 -1) = ((2sin(2π) +5cos(2π)) -(2sin(π) +5cos(π)))/(1)

  = (2·0+5·1 -(2·0 +5·(-1)) = 10 . . . . matches the table value for x1 = 2.

Then the average velocity values for the intervals of interest are ...

  1) [1, 2]   Va = 10

  2) [1, 1.1]   Va = -3.73

  3) [1, 1.01]   Va = -6.035

  4) [1, 1.001]   Va = -6.259

__

B) Sometimes a better estimate is obtained when the interval is centered on the point of interest. Here, we can compute the average velocity on the interval [0.999, 1.001] as a better approximation of the instantaneous velocity at t=1. That value is ...

  [0.999, 1.001]   Va = -6.283175*

Our estimate of V(1) is -6.2832 cm/s.

The exact value is -2π ≈ -6.2831853... cm/s

__

* This is the average of the Va(0.999) and Va(1.001) values in the table.

Answer:

Pillows:

Blankets:

Pet Beds:

Step-by-step explanation:

18 + 45 + 27 = 90 (there are 90 students)

18 out of 90 = 20%

45 out of 90 = 50%

27 out of 90 = 30%

Hope this helps!

Answer:

d

Step-by-step explanation:

hope this helps

Answer:

0| 2

1| 2

2| 0 0 3 9

3| 2 4 4 4 8 8

4| 2 2 4 5 5 6 7

Step-by-step explanation:

Same as the other similar questions

hope this helps!

Answer:

T(3) = 13

Step-by-step explanation:

If we are trying to find the 3rd term of this specific sequence, then we simply plug in 3 as n.

T(3) = (3)² + 4

T(3) = 9 + 4

T(3) = 13

However, this isn't proper notation for an arithmetic or geometric sequence.

Answer:

13

Step-by-step explanation:

T(n) = n² + 4

Put n as 3 to find the third term.

T(3) = (3)² + 4

Solve for the powers.

T(3) = 9 + 4

Add the terms.

T(3) = 13

Answer:

solution,

[tex]5x + 8 - 3x = - 10 \\ or \: 5x - 3x + 8 = -10 \\ or \: 2x + 8 = -10 \\ or \: 2x = -10 - 8 \\ or \: 2x = -18\\ or \: x = \frac{-18}{2 } \\ x = -9[/tex]

hope this helps..

Good luck on your assignment

Answer:

x = -9

Step-by-step explanation:

5x + 8 - 3x = -10

Rearrange.

5x - 3x + 8 = -10

Subtract like terms.

2x + 8 = -10

Subtract 8 on both sides.

2x = -10 - 8

2x = -18

Divide 2 into both sides.

x = -18/2

x = -9

Answer:

a) Mean number of beans = 33.4 per coco pad

b) Standard deviation of the  beans = 5.2   per coco pad

Step-by-step explanation:

Step(i):-

a)

Given data  30, 28, 30, 35, 40, 25, 32, 36, 38 and 40.

mean of beans

  x⁻ = ∑x/n

[tex]x^{-} = \frac{30+ 28+30+35+40+25+32+36+38 + 40.}{10} = 33.4[/tex]

Mean number of beans per coco pad  = 33.4

step(ii):-

b)

standard deviation

∑(xi - x⁻)²  =  (30-33.4)²+ (28-33.4)²+(30-33.4)²+(35-33.4)²+(40-33.4)²+(25-33.4)²+(32-33.4)²+(36-33.4)²+ (38-33.4)²+(40-33.4)²

On calculation , we get

      ∑(xi - x⁻)²  = 242.4

standard deviation

 =        [tex]\sqrt{\frac{sum((x-x^{-} )^{2} }{n-1} } = \sqrt{\frac{242.4}{10-1} } = 5.189[/tex]

Standard deviation of the  beans  (σ) = 5.2   per coco pad

Answer:

We want a line that passes through the point (4, 7/2)

and we have no other information of this line, so we can not fully find it, but we can find a general line.

We know that a line can be written as:

y = a*x + b.

Now we want that, when x = 4, we must have y = 7/2.

7/2 = a*4 + b

b = -a*4 + 7/2

Then we can write this line as:

y = a*x - a*4 + 7/2.

Where a can take any value, and it is the slope of our line.

Answer:

A

Step-by-step explanation:

Answer:

220

Step-by-step explanation:

There are 6 comedies and 12 non-comedies.  He wants all 6 of the comedies, and 3 of the non-comedies.

The number of ways he can choose 6 comedies from 6 is ₆C₆ = 1.

The number of ways he can choose 3 non-comedies from 12 is ₁₂C₃ = 220.

So the total number of combinations is 1 × 220 = 220.

Answer:

The probability that, in any hour, exactly 5 cars will enter the car wash is P(x=5)=0.0920.

Step-by-step explanation:

This can be modeled as a Poisson random variable.

The mean rate is the parameter of the Poisson distribution:

[tex]\lambda=4\;\text{cars/half an hour}=8\;\text{cars/hour}[/tex]

The probability that exactly k cars will enter the car wash can be calculated as:

[tex]P(x=k)=8^{k} \cdot e^{-8}/k![/tex]

Then, the probability that exactly 5 cars will enter the car wash is:

[tex]P(5)=8^{5} \cdot e^{-8}/5!=32768*0.0003/120=0.0920\\\\[/tex]

The probability that, in an hour, exactly 5 cars will enter the car wash will be 0.0920.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The mean rate is found as;

[tex]\rm \lambda =4 \ cars / half \ an \ hour = 8 car / hour[/tex]

The probability that exactly k cars will enter the car wash

[tex]P(x=K) = \frac{8^k e^{-8}}{k\!}\\\\P(x=5) = \frac{8^5 e^{-8}}{5\!}\\\\ P(x=5)=0.0920[/tex]

Hence the probability that, in an hour, exactly 5 cars will enter the car wash will be 0.0920.

To learn more about the probability link is given below.

https://brainly.com/question/795909

#SPJ4