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Decide whether the following statement makes sense or does not make sense. Explain your reasoning.
I drove at a speed of 35 miles for the entire trip.

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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Answer:

x>-2

Step-by-step explanation:

to get the -3x alone, we have to subract 1 from 6

7-1 = 6

-3x<6

6/-3 = -2

flip the symbol since we divided by a negative number

x> -2

Answer:

solving for x

x>-2

Step-by-step explanation:

Plz give brainliest.

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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Answer: a. A $100 stock loses 20% of its value.

To find the ending value of the stock after a 20% decrease in value, we can multiply the initial value by (1 - 0.20) or 0.80.

Ending value = $100 x 0.80 = $80

Therefore, the ending value of the stock after a 20% decrease is $80.

b. An $80 stock gains 20% of its value.

To find the ending value of the stock after a 20% increase in value, we can multiply the initial value by (1 + 0.20) or 1.20.

Ending value = $80 x 1.20 = $96

Therefore, the ending value of the stock after a 20% increase is $96.

Step-by-step explanation: :)

Answer:

4÷(6+3)

Step-by-step explanation:

6+3 is the sum of a number and 3, and you divide 4 by that.

The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of four and the sum of a number and three,

The above statement can be written as,

4÷(x + 3)

Here, x is the number

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Step-by-step explanation:

there are four dogs because each dog at a corner will see the other three dogs at the other corners

Answer:

Working the multiplication part ( that is; 6×8)

Step-by-step explanation:

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

7

Step-by-step explanation:

34-6=28

28/4=7

c=7

Answer:

The answer would be 'c=7'.

Step-by-step explanation:

I hope this was helpful, have a blessed day.

Answer: 48 more monthly payments

Step-by-step explanation:

Step-by-step explanation:

n = 52

x bar = 122.31

standard deviation sd = 38.75

1. the hypothesis:

null hypothesis

h0: μ ≤ 35

alternative hypothesis

h1: μ > 35

2.

we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.

3.

= \(\frac{122.31-35}{38.75/\sqrt{52} }\)

= 87.31/5.37

= 16.26

using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.

TDIST(16.26, 51, 1)

since p value is very small we reject the null and accept the alternate hypothesis.

4. from the result above the answer to this question is yes

Answer:

sum of the series = 7182  

Step-by-step explanation:

This is an arithmetic series. The first term is known as 586 and the last term is known as 212. We are ask to find the sum of the series. The common difference of this sequence is -22 . The difference between the next term  and the previous term is -22. Let us find the number of terms.

common difference = 564 - 586 = -22

number of terms = n

nth term = a + (n - 1)d

212 = 586 + (n - 1)-22

212 = 586 - 22n + 22

212 - 586 - 22 = -22n

-396 = -22n

divide both sides by -22

n = -396/-22

n = 18

Using the formula for sum

sum of nth term = n/2(a + l)

where

l = last term

a = first term

n = number of term

sum of nth term = n/2(a + l)

sum of nth term = 18/2(586 + 212)

sum of nth term = 9(798 )

sum of the series = 7182  

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

Step-by-step explanation:

B :10/(x+1)  +5

Answer:

Hi there!

Your answer is: 5$ flat rate!

Step-by-step explanation:

3x + 5 = 30

5x +5 = 40

Answer:

  (b)  ∠EGF ≅ ∠BDC

Step-by-step explanation:

Angles D and G are both marked with double arcs, indicating they are congruent:

  ∠EGF ≅ ∠BDC

__

Other choices:

BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.

__

CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.

Answer:

I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.

Answer:

q = M - 3p

Step-by-step explanation:

M = q+3p

to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.

M-3p = q

Answer:

q=m-3p

Step-by-step explanation:

m=q+3p

-3p. -3p

-3p+m=q

Answer:do you want to talk

Step-by-step explanation:

I will tell you in the answer

Answer:

Step-by-step explanation:

3+1/2x=0

1/2x=-3

2(1/2)x=(-3)2

x=|-6|

x=6  km

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is \(A(t) = 80(0.9675)^t\)

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

\(A(t) = A(0)(1-r)^t\)

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that \(A(21) = 0.5A(0)\). We use this to find r, the percentage rate of decay per year.

\(A(t) = A(0)(1-r)^t\)

\(0.5A(0) = A(0)(1-r)^{21}\)

\((1-r)^{21} = 0.5\)

\(\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}\)

\(1 - r = 0.5^{\frac{1}{21}}\)

\(1 - r = 0.9675\)

\(r = 1 - 0.9675 = 0.0325\)

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that \(A(0) = 80\)

The equation is:

\(A(t) = A(0)(1-r)^t\)

\(A(t) = 80(1-0.0325)^t\)

\(A(t) = 80(0.9675)^t\)

The function showing the mass of the sample remaining after t is \(A(t) = 80(0.9675)^t\)

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer : 8$

you have 1$ left

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Not all intersecting lines are perpendicular.

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

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Answer:200

Step-by-step explanation: