A data set is Normally distributed with a mean of 750 and a standard deviation of 55. What is the value of a data element that has a z-value of 0.05? Give your answer to two decimal places.

752.75 IS THE CORRECT ANSWER

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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The solutions to these system of equations are given as follows:

1. x = 1, y = 7.

2. x = 0.5, y = 2.

3. x = 6, y = -2.

4. x = 3, y = 3.

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of a problem.

For item 1, it is already stated that the solution for x is x = 1, hence the solution for y is obtained as follows:

y = 2(1) + 5 = 7.

For item 2, we are given two equations for y, hence the solution for x is obtained as follows:

2x + 1 = 6x - 1

4x = 2

x = 2/4

x = 0.5.

Hence the solution for y is:

y = 2(0.5) + 1 = 1 + 1 = 2.

For item 3, from the second equation, we have that:

y = 4 - x.

Then the solution for x will be of:

2(x - 7) = 4 - x

2x - 14 = 4 - x

3x = 18

x = 18/3

x = 6.

The solution for y is:

y = 4 - 6 = -2.

For item 4, from the first equation, we have that:

y = 3x - 6.

Then, replacing on the second equation, the solution for x is obtained as follows:

x + 3(3x - 6) = 12

x + 9x - 18 = 12

10x = 30

x = 3.

Then the solution for y is:

y = 3x - 6 = 3(3) - 6 = 9 - 6 = 3.

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Answer:

I think non response bias because response bias includes answering incorrectly on a survey to get it over with so that is my answer

Step-by-step explanation:

The answer is y-7=4(x+4)

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Answer:1244

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the formula for calculating compound interest PN=P0(1+rk)Nk where N is the unknown, PN=2250, k=1, N=15, and r=0.028. Substitute the values into the formula and simplify.

2250=P(1+0.0281)1⋅15

2250=P(1.028)15

2250=P(1.5132...)

1486.91=P

Rounded to the nearest dollar, Lucy's initial deposit was $1487.

SOLUTION:

Case: Probability

Given:

Incidence rate = 0.8%

False negative = 6%. hence True negative is = (100% - 6%) which is 94%

False positive = 3%, hence true positive is = (100% - 3%) = 97%

FN = False negative

TN= True negative

FP= False positive

TP= True positive

Required: To find the probability that a person who tests positive actually has the disease.

Method:

The chances that someone who test positive actually has the diseases will be given as:

Final answer:

The probability that a person who tests positive actually has the disease is 0.970

Answer:

a) 0.9920 = 99.20% probability that 15 or more will live beyond their 90th birthday

b) 0.2946  = 29.46% probability that 30 or more will live beyond their 90th birthday

c) 0.6273 = 62.73% probability that between 25 and 35 will live beyond their 90th birthday

d) 0.0034 = 0.34% probability that more than 40 will live beyond their 90th birthday

Step-by-step explanation:

We solve this question using the normal approximation to the binomial distribution.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

In this problem, we have that:

Sample of 723, 3.7% will live past their 90th birthday.

This means that \(n = 723, p = 0.037\).

So for the approximation, we will have:

\(\mu = E(X) = np = 723*0.037 = 26.751\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{723*0.037*0.963} = 5.08\)

(a) 15 or more will live beyond their 90th birthday

This is, using continuity correction, \(P(X \geq 15 - 0.5) = P(X \geq 14.5)\), which is 1 subtracted by the pvalue of Z when X = 14.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{14.5 - 26.751}{5.08}\)

\(Z = -2.41\)

\(Z = -2.41\) has a pvalue of 0.0080

1 - 0.0080 = 0.9920

0.9920 = 99.20% probability that 15 or more will live beyond their 90th birthday

(b) 30 or more will live beyond their 90th birthday

This is, using continuity correction, \(P(X \geq 30 - 0.5) = P(X \geq 29.5)\), which is 1 subtracted by the pvalue of Z when X = 29.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{29.5 - 26.751}{5.08}\)

\(Z = 0.54\)

\(Z = 0.54\) has a pvalue of 0.7054

1 - 0.7054 = 0.2946

0.2946  = 29.46% probability that 30 or more will live beyond their 90th birthday

(c) between 25 and 35 will live beyond their 90th birthday

This is, using continuity correction, \(P(25 - 0.5 \leq X \leq 35 + 0.5) = P(X 24.5 \leq X \leq 35.5)\), which is the pvalue of Z when X = 35.5 subtracted by the pvalue of Z when X = 24.5. So

X = 35.5

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{35.5 - 26.751}{5.08}\)

\(Z = 1.72\)

\(Z = 1.72\) has a pvalue of 0.9573

X = 24.5

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{24.5 - 26.751}{5.08}\)

\(Z = -0.44\)

\(Z = -0.44\) has a pvalue of 0.3300

0.9573 - 0.3300 = 0.6273

0.6273 = 62.73% probability that between 25 and 35 will live beyond their 90th birthday.

(d) more than 40 will live beyond their 90th birthday

This is, using continuity correction, P(X > 40+0.5) = P(X > 40.5), which is 1 subtracted by the pvalue of Z when X = 40.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{40.5 - 26.751}{5.08}\)

\(Z = 2.71\)

\(Z = 2.71\) has a pvalue of 0.9966

1 - 0.9966 = 0.0034

0.0034 = 0.34% probability that more than 40 will live beyond their 90th birthday

Answer:

7(-9x+10)=70-63x

-63x+70=70-63x

-63x+63x=70-70

0=0

Answer:

The lengths of the sides are 20 cm and 20 cm

Step-by-step explanation:

Given

Perimeter, P = 80cm

Represent the length and width with L and W, respectively;

\(P= 2*(L + B)\)

Substitute 80 for P

\(80 = 2 * (L + B)\)

Divide through by 2

\(40 = L + B\)

\(L + B = 40\)

Make L the subject of formula

\(L = 40 - B\)

Area of a rectangle is calculated as thus;

\(Area = L * B\)

Substitute 40 - B for L

\(Area = (40 - B) * B\)

Express this as a function

\(A(B) = (40 - B)* B\)

\((40 - B)* B = A(B)\)

Set A(B) = 0 to determine the roots

Hence;

\((40 - B)* B = 0\)

\(40 - B = 0\) or \(B = 0\)

\(40 = B\) or \(B = 0\)

\(B = 40\) or \(B = 0\)

The maximum area of a rectangle occurs at half the sum of the roots;

So;

\(B= \frac{B_1 + B_2}{2}\)

\(B= \frac{40+0}{2}\)

\(B= \frac{40}{2}\)

\(B = 20\)

Recall that \(L = 40 - B\)

\(L = 40 - 20\)

\(L = 20\)

Hence the lengths of the sides are 20 cm and 20 cm

Answer:

The original cost of the digital camera is Rs. 18,500.

Step-by-step explanation:

Let c be the original cost of the digital camera

Since VAT of 13% was added then we can say that the amount that was paid was 13% more than the original price. So the payment made was 113% of the original amount or 1.13 in decimal

Payment = original cost + 13% VAT

20, 905 = c + 0.13c

20, 905 = 1.13c

Divide both sides of the equation by 1.13

20905/1.13 = 1.13c/1.13

18,500 = c

c = Rs. 18,500

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

Answer:

77

try to multiply the 0.85 so u can find a suitable number for the dividend.

Answer:

(0, 0.5)

Step-by-step explanation:

Let M is the midpoint of the line

x-coordinate of the midpoint:

xM = ( xA + xB ) / 2 = (-6 + 6) / 2 = 0

y-coordinate of the midpoint:

yM = (yA + yB) / 2 = (8 - 7) / 2 = 1/2 = 0.5

Answer: M (0, 0.5)

Answer:

(0, 0.5)

Step-by-step explanation:

Answer: The answer is 7

Step-by-step explanation:

Absolute value is the final amount of spaces it is from 0 so -7 and positive 7 are both 7 spaces from 0 so I claim that 7 is the absolute value making Amanda wrong!

Answer:

\( \frac{6}{8} \div \frac{2}{3} \)

Simplify,

\( \frac{6}{8} = \frac{3}{4} \)

So now,

\( \frac{3}{4} \div \frac{2}{3} \\ = \frac{3}{4} \times \frac{3}{2} \\ = \frac{3 \times 3}{4 \times 2} \\ = \frac{9}{8} \\ = 1.125\)

Answer:

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1

Step-by-step explanation:

The slope-intercept form of the equation is y = m x + b, where

In the given pattern

∵ x represents the figure number

∵ y represents the number of tiles

∵ At x = 1, y = 3

∵ At x = 2, y = 5

∵ At x = 3, y = 7

∵ 5 - 3 = 2 and 7 - 5 = 2

→ That means the constant rate of change is 2

∴ m = 2

→ Substitute it in the form of the equation above

∴ y = 2x + b

→ To find b substitute x and y by the first figure

∵ x = 1 and y = 3

∴ 3 = 2(1) + b

∴ 3 = 2 + b

→ Subtract 2 from both sides to find b

∴ 3 - 2 = 2 - 2 + b

∴ 1 = b

→ Substitute it in the equation

∴ y = 2x + 1

The equation that represents the relation between the figure number, x, and the number of the tiles, y is y = 2x + 1

Answer:

C. 4 hours

Step-by-step explanation:

I know this because it needs to be increased 20 mph more and since it increases 5 mph each hour then it would need to be increased the 5 mph 4 times to reach 75 mph.

The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

answer: -4 1/2

explanation:

Answer:

27x^2−9y^2=81

Answer:

367.75

Step-by-step explanation:

21+23.3+323.45

Add the three terms.

= 367.75

The sum of theses numbers is 367.75.

Answer:

\(= 367.75 \\ \)

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: 21 \\ + \: \: \: \: 23.3 \\ = \: \: 44.3 \\ + 323.45 \\ = 367.75\)

Answer:

29 /5

Step-by-step explanation:

29 /5

Check:

29 ÷ 5 = 5.8

Answer: all of them

Step-by-step explanation:

The standard form of a number is a way of writing the number in a form that follows certain rules.

A number can be written in a way that adheres to certain rules by using its standard form. Any number that can be expressed as a decimal between 1.0 and 10.0, multiplied by a power of 10, is referred to as being in standard form.

Ax+By=C is the typical form for two-variable linear equations. An example of a standard form linear equation is 2x+3y=5. Finding both intercepts of an equation in this form is fairly simple (x and y). When resolving systems of two linear equations, this form is helpful.

In mathematics, a standard form of a number is essentially mentioned for the representation of large numbers or small numbers. To represent these numbers in standard form, we use exponents.

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Answer:

A.

The first 5 terms:

B.

The first 5 terms:

The Transformed Graph domain of y = -e - 2 is (-∞, +∞), and the range is (-∞, -2].

To transform the graph of y = e to y = -e - 2, we need to make two changes:

Reflect the graph vertically: This can be achieved by multiplying the function by -1, which will reflect the graph across the x-axis.

Shift the graph downward by 2 units: We can achieve this by subtracting 2 from the function.

Applying these transformations to y = e, we get:

y = -e - 2

Now, let's discuss the domain and range of the transformed function.

Domain: The domain of y = -e - 2 remains the same as the original function, which is all real numbers (-∞, +∞).

Range: To find the range of the transformed function, we need to consider the possible values of y. Since the graph is a downward shift of the exponential function, the range will be (-∞, -2]. The upper bound is -2, and it is included because the function approaches -∞ as x approaches +∞.

Therefore, the Transformed Graph domain of y = -e - 2 is (-∞, +∞), and the range is (-∞, -2].

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Answer:

good free points

Step-by-step explanation:

For number 1 is A why it is 0.007

1.207- 1.200= 0.007

Answer:

1. A, 0.007

5. 7 and seventy-five hundredths