Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.​

Answer:

D, C,.  

Step-by-step explanation:

The account which is not protected by the FDIC is Checking Account. Thus option 3rd is correct.

The three kinds of saving accounts are regular deposits, money markets, and Certificates of Deposits. There is a difference in all three types in terms of accessibility and amount of interest.

The Checking account is defined as the account which carries the day-to-day transactions of money. Which ensures easy access to money.

Most people generally use a debit card or checks to make purchases.  Thus option 3rd is correct.

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Answer:

A. Safety deposit boxes

Step-by-step explanation:

I did it right

The proportion of scores that are below 12.5 is 0.8944 or 89.44%.

Given that the population is normally distributed with a mean of 10 and a standard deviation of 2, we can calculate the proportion of scores below 12.5 using the z-score formula.

z = (x - μ) / σwhere x = 12.5, μ = 10, and σ = 2.

Substituting these values into the formula, we get:

z = (12.5 - 10) / 2z = 1.25

We must find the area under the standard normal distribution curve to the left of z = 1.25. This area represents the proportion of scores that are below 12.5.

We can use a standard normal distribution table or calculator to find this area. Using a standard normal distribution table, the area to the left of z = 1.25 is 0.8944.

Therefore, the proportion of scores below 12.5 is 0.8944 or 89.44%.

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Step-by-step explanation:

volume = length ×width ×height

volume = (8/3) inches × (1/2) Inches × (5/6) inches

volume =(8/6) cubic inches ×(1/2) inches

volume = 4/3 cubic inches

Answer:

10/9 in³

Step-by-step explanation:

2 2/3 = (2 X 3 + 2) / 3 = 8/3.

Volume of prism = area of cross-section X length

= (8/3) X (1/2) X (5/6)

= (8 X 1 X 5)/ (3 X 2 X 6)

= 40/36

= 10/9 in³

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Answer:

-0.75

Step-by-step explanation:

-0.75 or -5/4

-0.75 or -1.25

-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.

Answer:

50

Step-by-step explanation:

Sum of angles in a circle is 360,

145 + 165 + x = 360

310 + x = 360

x = 360 - 310

x = 50

Answer:

ab

Step-by-step explanation:

Answer:

The answer is 5 2/15.

Step-by-step explanation:

Well, you just do 4/5 - 2/3 then add 5 as the whole number.

The formula for the Volume(V) of the cylinder is given as,

Given:

Therefore,

Hence, the volume of the cylinder is

The probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

The standard deviation of the age of people who suffered heart attacks soon after using cocaine was 10 years. In a random sample of size 49, what is the probability the mean age at heart attack after using cocaine is greater than 42?We are given the following details:

The mean age of people in the study who suffered heart attacks soon after using cocaine was only 44.

Standard deviation = 10

Sample size = 49

Now we need to find the z-score using the formula:

z = (x - μ) / (σ / √n)

wherez is the z-score

x is the value to be standardized

μ is the mean

σ is the standard deviation

n is the sample size.

Substitute the values in the formula as given,

z = (42 - 44) / (10 / √49)z = -2 / (10/7)

z = -1.4

Probability of z > -1.4 can be found using the standard normal distribution table or calculator.

P(z > -1.4) = 0.9192

Therefore, the probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

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The smallest possible value for a term in the five-term arithmetic sequence is 1.The sum of a five-term arithmetic sequence is given as 100 and all terms are positive integers. Let's call the first term "a" and the common difference "d".

The five terms can be represented as a, a + d, a + 2d, a + 3d, and a + 4d. The sum of these five terms is 100, which can be represented as:

a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) = 100

Simplifying the expression, we get:

5a + 10d = 100

Dividing both sides by 5, we get:

a + 2d = 20

Since all terms are positive integers, it follows that "a" and "d" must also be positive integers. The smallest possible value for "a" is 1, and the smallest possible value for "d" is 1. Substituting these values into the expression for "a + 2d" yields:

1 + 2 * 1 = 3

Thus, the smallest possible value for a term in the five-term arithmetic sequence is 1.

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The Poisson distribution is a probability distribution that describes the number of independent occurrences of an event in a fixed interval of time or space.

In this case, the random variable is the number of occurrences during an interval. Therefore, the statement "the random variable is the number of occurrences during an interval" applies to the Poisson distribution. Another statement that applies to the Poisson distribution is "the probability of the event is proportional to the interval size". This means that the probability of observing k events in a fixed interval is proportional to the length of the interval. However, the statement "the probability of an individual event occurring is quite large" does not describe the Poisson distribution. In fact, the Poisson distribution assumes that the probability of an individual event occurring is small, but the number of events is large. Finally, the statement "the intervals do not overlap and are independent" is not a defining characteristic of the Poisson distribution, although it is often assumed in practical applications. In summary, the Poisson distribution is a probability distribution that models the number of independent occurrences of an event in a fixed interval. The probability of the event is proportional to the interval size, and the random variable is the number of occurrences during an interval.

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Answer:

1362

Step-by-step explanation:

so

A=1600(1-0.02)^8

A = total population after 8 years

1600 = initial amount of people

0.02 = percent in decimal

8 = years after 2000

1- = decay

Hill's Criteria of Strength is the only criteria that must be met 100% for a causal relationship to be possible.

The Criteria of strength is Hill's first test for causation. He stated that the likelihood of an association being causative increases with the size of the connection between exposure and disease. Hill used Percival Pott's investigation into the prevalence of scrotal cancer in chimney sweeps to highlight this issue. Since the correlation between that occupation and sickness was so strong (almost 200 times more than in other jobs), it was concluded that chimney soot was probably a contributing factor. On the other hand, Hill argued that minor connections are less indicative of causation since they are more likely to be explained by other underlying factors (such as bias or confounding).

To evaluate possibly causative associations, it is essential to define what is meant by a "strong" correlation. Scientists may now distinguish between strong and weak associations using more mathematically sound criteria than Hill had in mind because of developments in statistical theory and computing capacity. Strength is no longer just understood as an association's magnitude. Furthermore, multi-factorial disorders and the existence of determinant risk variables that are tiny in magnitude but statistically significant have received more attention from researchers. The recognized standard for determining the strength of an observed correlation and, hence, its potential causation, is statistical significance today rather than the magnitude of the association.

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

Step-by-step explanation:

Let s and e represent the grams of 6% and 8% solution, respectively. The given relations can be described by ...

  s + e = 600 . . . . . you have 600 grams of mixture

  0.06s +0.08e = 0.074(600) . . . . grams of alcohol in the mixture

__

The first equation can give an expression for s that substitutes nicely into the second equation:

  s = 600 -e

  0.06(600 -e) +0.08e = 0.074(600) . . . . substitute for s

  0.02e = 0.014(600) . . . . . . subtract 0.06(600)

  e = 420 . . . . . . . divide by 0.02

  s = 600 -420 = 180

You mixed 180 grams of 6% solution with 420 grams of 8% solution.

Answer: 180 grams of 6% solution with 420 grams of 8% solution.

Step-by-step explanation:

Let x and y be the weight (in grams) of 6% and 8% alcohol solution. Since the total weight is 600 grams, therefore,

\($$\Rightarrow x+y=600 \ldots \text { (1) }\)

Using the statement given, we can write the following equation:

\(\Rightarrow 6 x+8 y=(7.4)(600)\\ \Rightarrow 6 x+8 y=4440 \text {... (2) }\)

Substitute the value of y from equation (1) into equation (2), we'll get:

\(\begin{gathered}\Rightarrow 6 x+8(600-x)=4440 \\\Rightarrow 6 x+4800-8 x=4440 \\\Rightarrow 2 x=360 \\\Rightarrow x=180\end{gathered}\)

Therefore,

\(\Rightarrow y=600-180=420\)

Therefore, you mixed 180 grams of 6% solution with 420 grams of 8% solution.

The outcome or result of adding two or more integers is known as the SUM.

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

the sum of two or more numbers, magnitudes, quantities, or specifics as determined by or as though decided by the addition process in mathematics.

The outcome of adding two or more numbers, objects, or things is referred to in mathematics as the sum.

The result or solution we obtain from adding two or more integers is known as the SUM. Addends are the figures that are combined.

\(Simplify $\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}: \frac{x+5}{x+3}$Steps$$\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}$$Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$$$=\frac{x+3+2}{x+3}$$Add the numbers: $3+2=5$$$=\frac{x+5}{x+3}$$\)

Therefore, the correct answer is option b) \($=\frac{x+5}{x+3}$\)

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Answer:

Mia can rent the game set for 7 minutes

Step-by-step explanation:

(50)+(15×7)

The approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275 is 0.8804 or 88.04%.

We need to know the mean and standard deviation of the distribution to calculate the approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275.

Let's assume that the mean number of tickets given out per day is 50 and the standard deviation is 10 (these are just hypothetical values).

The total number of tickets given out during a 5-day week follows a normal distribution with mean 250 (= 5 days x 50 tickets per day) and standard deviation of the square root of 500 (= 5 days x 10²).

To find the probability that the total number of tickets given out during a 5-day week is between 195 and 275, we need to standardize the values using the z-score formula: z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation.

For x = 195: z = (195 - 250) / sqrt(500) = -2.46

For x = 275: z = (275 - 250) / sqrt(500) = 1.56

Using a calculator, the probability that z is between -2.46 and 1.56 is approximately 0.8804.

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Answer:

the one on the bottom row is that graph that represents a function.

Step-by-step explanation:

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

Answer:

(3 +/- i*sqrt(151) / 20 (no real solutions)

Step-by-step explanation:

10x^2 - 6x + 4 = -3x

Add 3x to both sides

10x^2 - 6x + 4 + 3x = -3x + 3x

10x^2 - 6x + 4 + 3x = 0

Add like terms

10x^2 - 3x + 4 = 0

We have to use quadratic formula to find the answers

For this equation, a = 10, b = -3 and c = 4

Note: +/- is plus or minus

Quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)

x = (3 +/- sqrt(9 - 160)) / 20

x = (3 +/- sqrt(-151) / 20

x = (3 +/- i*sqrt(151) / 20

if there's a "-" sign inside a square root, it will give you an imaginary number.

Example:

-sqrt(9) = -3

sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")

So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:

sqrt(151). We can't forget about the "-". Turn the minus into a sign.

It will be i*sqrt(151)

Imaginary numbers can't be simplified, so this is the answer.

(3 +/- i*sqrt(151) / 20

Step-by-step explanation:

let the numbers are:

a, b, and c

the equation would be:

a+b+c = 131

c = 4a

b = a+5

=>

a + a+5 +4a = 131

6a +5 = 131

6a = 131-5

6a = 126

a= 126/6

a = 21

b = a+5 = 21+5

b = 26

c = 4a = 4(21)

c = 84

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

The value of "x" for which the line "l" is parallel to the line "m" is 31°.

The line "l" is parallel to the line "m". The top angle is 31°. The middle angle is 62°. We need to find the measure of angle "x".

We will extend the upper line to intersect the line "m". This will form a triangle. The lower left angle of the triangle is 31° using the property that the alternate interior angles are equal. The top angle of the triangle is found using the linear pair property. The top angle of the triangle is 180°–62° = 118°.

Now we will apply the angle sum property to the triangle. The sum of all the angles of a triangle is 180°.

31° + 118° + x° = 180°

149° + x° = 180°

x = 31°

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The equation of the tangent plane to the surface represented by the vector-valued function at the point (1,1,1) is x - 2y - 2z + 1 = 0.

To find the equation of the tangent plane, we need to find the partial derivatives of the vector-valued function with respect to u and v, and evaluate them at the given point (1,1,1):

r(u,v) = ui + vj + √(uv)k

∂r/∂u = i + (1/2√(uv))k

∂r/∂v = j + (1/2√(uv))k

Now we evaluate these partial derivatives at the point (1,1,1):

∂r/∂u(1,1) = i + (1/2)k

∂r/∂v(1,1) = j + (1/2)k

The normal vector to the tangent plane is the cross product of these partial derivatives:

n = ∂r/∂u × ∂r/∂v = i × j + (1/2)i × k + (1/2)j × k = -k + (1/2)i + (1/2)j

So the equation of the tangent plane at the point (1,1,1) is:

-k + (1/2)i + (1/2)j = -(x-1) + (1/2)(y-1) + (1/2)(z-1)

Simplifying, we get:

x - 2y - 2z + 1 = 0

Therefore, the equation of the tangent plane to the surface represented by the vector-valued function at the point (1,1,1) is x - 2y - 2z + 1 = 0.

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Answer:

0.25

Step-by-step explanation:

Answer:

KM=LN is given, LN=LM+MN Segment addition postulate, KL=MN because the transitive property of equality

Step-by-step explanation:

the first blank is always given for the future