Pregnancy length (in days) is a normally distributed random variable with a mean of 266 days and a standard deviation of 16 days. Calculate the z-score for a pregnancy lasting 286 days. Do not round.

Answer:

-

Step-by-step explanation:

I took the test

The correct operator that enters a circle is a subtraction sign.

Given the expressions

\((4x^5-8x) ()(3x^2-8x+9)\)

We need to know which sign goes into the bracket that will give a trinomial when simplified.

A trinomial is a function containing 3-terms.

Using the subtraction sign.

\((4x^5-8x) - (3x^2-8x+9)\)

Expand

\(= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9\)

Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.

Learn more here: https://brainly.com/question/1320408

The detailed answer of this question is:

P(X > 100 | X > 50)=0.455

Given that X follows an exponential distribution, we know that the probability density function (PDF) of X is given by:

f(x) = λe^(-λx) for x ≥ 0

where λ is the rate parameter of the distribution.

We are given that P(X < 50) = 0.25. Using the cumulative distribution function (CDF) of X, we can write:

P(X < 50) = 1 - e^(-λ*50) = 0.25

Solving this equation for λ, we get:

λ = -ln(0.75)/50 ≈ 0.0278

Now, we are asked to find P(X > 100 | X > 50). Using the definition of conditional probability, we can write:

P(X > 100 | X > 50) = P(X > 100 and X > 50) / P(X > 50)

= P(X > 100) / P(X > 50)

= e^(-λ100) / e^(-λ50)

= e^(-λ*50)

Substituting the value of λ, we get:

P(X > 100 | X > 50) = e^(-0.0278*50) ≈ 0.455

Therefore, the probability that a high-risk driver will have an accident after 100 days given that they have not had an accident for the first 50 days is approximately 0.455.

To know more about Exponential Function visit:

https://brainly.com/question/28596571

#SPJ4

Answer: y=x−2 y = x − 2

Step-by-step explanation:

The length of the other two sides are 4m and 5m

Using the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle

This is represented as;

x² = y² + z²

From the information given, we have that;

z = 3m

x = x + 1

y = x

Substitute the values, we get

(x + 1)² = x² + 3²

Find the squares

(x + 1) ² = 9 + x²

expand the bracket

(x + 1) ( x + 1) - x² = 9

x² + x + x + 1 - x² = 9

collect like terms

2x = 8

x = 4

Then,

x + 1 = 5

x = 4

Hence, the values are 4m and 5m

Learn about triangles on:

https://brainly.com/question/14285697

#SPJ1

Answer:

Dilation

Step-by-step explanation:

Given: The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.

To choose: the correct option

Dilation refers to a transformation when a figure is reduced or enlarged.

Each side of the large triangle is halved to get the small triangle.

So, Dilation transformation maps the large triangle onto the small triangle

The transformation is because the Dilation.

The geometric transformation is a bijection of a set that has a geometric structure by itself or another set.

Given that the first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.

So, we need to identify the type of transformation.

We see that the measures of the sides are decreased by a scale factor of 2.

So we can say there is a dilation,

Dilation refers to a transformation when a figure is reduced or enlarged.

Each side of the large triangle is halved to get the small triangle.

So, Dilation transformation maps the large triangle onto the small triangle.

Hence the correct option is Dilation.

Learn more about transformation click;

https://brainly.com/question/11709244

#SPJ2

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

Learn more about quadratic expression on https://brainly.com/question/31368124

#SPJ1

Answer:

y= 1x-1

Step-by-step explanation:

i used stat edit

Answer:

a. How much will she have to pay back at the end of the 1 year?

Answer: $540

b. How much interest does she have to pay?

Answer: $40

Step-by-step explanation:

Simple interest for any amount p is given by

SI = p*r*t/100

where r is the annual rate rate of interest

t is the time

____________________________________________

Given

p= $500 (loan taken)

r = 8%

t = 1 year

SI = 500*8*1/100 = 40

Thus, $40 is the interest charged in a year.

Total money paid at the end of one year = loan taken  + interest charged

                                                                    = $500 + $40

                                                                    = $540

a. How much will she have to pay back at the end of the 1 year?

Answer: $540

b. How much interest does she have to pay?

Answer: $40

The weak, moderate, strong and very strong Positive linear correlation is discussed below.

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data

Given is that there is a positive linear correlation between the x–value (years since 2000) and y–value (student enrollment).

Positive linear correlation means that the correlation coefficient value is between 0 and 1.

Now we can further write -

{a}. Weak correlation : The value is between {0} and {0.3}.

{b}. Moderate correlation : The value is between {0.3} and {0.7}.

{a}. Strong correlation : The value is between {0.7} and {0.85}.

{a}. Very strong correlation : The value is between {0.85} and {1}.

Therefore, the weak, moderate, strong and very strong Positive linear correlation is discussed above.

To solve more questions on correlation, visit the link below-

https://brainly.com/question/30194223

#SPJ1

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

Learn more about slope here:

https://brainly.com/question/3493733

#SPJ1

The True statements are:

Each element of X is given exactly one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

For D (x) = 2 x:

- x is the independent variable,

- D ( 6 ) = 2 · 6 = 12.

10 = 2 · 5,     12 = 2 · 9,     - 4 = 2 · ( - 2 ).

True statements are:

A ) D ( x ) is a function.

D ) D ( x ) is a direct variation.

E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).

Read more about functions here:

https://brainly.com/question/25638609
#SPJ1

Answer:

0.9

Step-by-step explanation:

Step-by-step explanation:

He earned his base ($ 2000) plus 4% of $ 4125 ( which is .04 * 4125)

total = $  2165.00

Answer:

2165.00

Step-by-step explanation:

Answer:

The median of the given data is 20. To find the median, arrange the data in numerical order, and then take the middle value. In this case, the data is arranged in numerical order as 0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60. The middle value is 20, which is the median.

Answer:

17.5

Step-by-step explanation:

To find the median of a set of numbers, we need to arrange the numbers in order from smallest to largest and then find the middle value.

In this case, the numbers in the set arranged in ascending order are:

0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60

There are 15 numbers in the set, which means that the middle value is the eighth number. Since there are two numbers in the middle (15 and 20), we take the average of these two numbers to find the median:

median = (15 + 20) / 2 = 17.5

Therefore, the median of the set of numbers is 17.5.

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

A = 41.4°

Step-by-step explanation:

Reference angle = A

Length of Adjacent side = 6

Length of Hypotenuse = 8

Apply the trigonometric function, CAH.

Cos A = Adj/Hyp

Substitute

\( Cos(A) = \frac{6}{8} \)

\( A = Cos^{-1}(\frac{6}{8}) \)

A = 41.4° (approximated to the nearest tenth)

Answer:

the inputs are: 0,1,2,8,12

the outputs are: 19,9,7,16,17

(Put them in order if needed)

**inputs are x values and outputs are the y values**

Answer:

I think its 12.3 years

Step-by-step explanation:

a fifth of 775 is 155 and 155 x 12.3 = 1850

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

10 Miles Because 25-15=10

Answer:

20.25

Step-by-step explanation:

Since 4/6 is the same as 0.25 and 20 doesn't need to be changed, 20 4/16 is equal to 20.25 in decimal form
Hope this helps :)

Answer:

20.25

Step-by-step explanation:

\(\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}\)

\(20\frac{4}{16}=\frac{20\cdot 16+4}{16}=\frac{324}{16}\)

\(\mathrm{Write\:the\:problem\:in\:long\:division\:format}\)

\(16\overline{|\smallspace324}\:\)

\(\mathrm{Divide\;32\;by\;16\;to \;get\;2}\)

\(\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 16\overline{|\smallspace324}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace3\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

\(\mathrm{Divide\;4\;by\;16\;to \;get\;0}\)

\(\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0.\:\:\:\:\:\:\:\:\:\:\:\\ 16\overline{|\smallspace324.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace3\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

\(\mathrm{Divide\;80\;by\;16\;to \;get\;5}\)

\(\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0.\emptyspace2\emptyspace5\:\:\:\\ 16\overline{|\smallspace324.0\cdot \:0}\:\:\:\:\:\:\:\\ \underline{\emptyspace3\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace0\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace3\emptyspace2}\:\:\:\:\:\/\\\emptyspace8\emptyspace0\:\\ \underline{\emptyspace8\emptyspace0}\:\\\ \emptyspace0\end{matrix}\)

\(\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{324}{16}\:\mathrm{is}\:20.25\)

~Lenvy~

Answer:

move over 5 to the right and 6 up

move 1 to the right and 4 down to get your answer

Answer:

when two lines are parallel to each other(their slopes(m) are always equal)

y = mx+c

y =1/5(x+4)

y=1/5x+4/5

comparing the values

m =1/5

since it passes through point(3,8)

y-y1 = m(x-x1)

y-8=1/5(x-3)

multiply both sides by 5

5(y-8) =x-3

5y -40 = x-3

5y =x-3 +40

5y =x +37

divide both sides by 5

y = 1/5x +37/5

Using normal distribution, We may determine the crucial value tc using a statistical calculator. For instance, we may use the qt function in R programmed as follows:

\(> qt(0.9, 11) \\[1] 1.795885\)

A continuous probability distribution is exemplified by the normal distribution, in which the majority of data points are clustered about the middle of the range and the remaining ones decline symmetrically towards one of the extremes. The distribution's mean is another name for the range's midpoint. Data that are close to the mean are more frequent than data that are far from the mean, according to the normal distribution, also known as the Gaussian distribution, which is symmetrical about the mean. I'm getting an individual student's SAT scores from a brand-new test preparation program using heuristics in normal distribution. The data have a mean (M) of 1150 and a standard deviation (SD) of 150, and they are regularly distributed.

We determine the critical value to be tc=1.796 using a t-distribution table with 11 degrees of freedom (n-1=12-1=11) and a two-tailed test (since we are looking for a critical value for a confidence interval).

As an alternative, we may determine the crucial value tc using a statistical calculator. For instance, we may use the qt function in R program as follows:

\(> qt(0.9, 11) \\[1] 1.795885\)

To know more about normal distribution visit:

brainly.com/question/29509087

#SPJ1

Answer: good

Step-by-step explanation:  good

Answer: She has walked 9/20 miles in total

Step-by-step explanation:

1/5*4=4/20

1/4*5=5/20

4/20+5/20=9/20 miles

9514 1404 393

Answer:

Step-by-step explanation:

The equation is an expression of the fact that the sum of the angles in a triangle is 180°.

  (2x -10)° +x° +(x +10)° = 180°

For the purposes of the answer box, I'd leave off the degree symbol:

  (2x -10) +x +(x +10) = 180

__

This simplifies to ...

  4x = 180

  x = 45

Then the angles (CW from top) are ...

  (2·45 -10) = 80°

  (45 +10)° = 55°

  (45)° = 45°