It is known that only 1% of U.S citizens living on East Coast will be exposed to Lyme disease. There is a blood test they can detect lyme disease, unfortunately, it's not a perfect taste. 95% of those exposed lenses will test positive using this blood test. 2% of those not expose a lot of these will also test positive.Given that randomly selected US citizen living on the East Coast tested positive for lyme disease, what is the probability that she has in fast been exposed to the diseaseAnswer Choices: 0.1620.3240.6480.95

The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

Given,

In the question:

Over the set of real numbers.

F(x) = -x-3, G(v) = √y

G(F(x)) = √√-3-x

To find the domain of the composite function.

Now, According to the question:

Based on the given conditions:

The domain of F(x) = -x -3 is all real numbers.

The domain of

G(v) = √y is y ≥ 0

{The relationship of the domain of a composite function and the original functions}

So, - x - 3 ≥ 0 , x ≤ -3

Hence,  The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

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The statement weights of cherry tomatoes are likely to be closer to the mean is true.

Oakdale farms grew two different varieties of tomatoes last summer. When the tomatoes were fully grown, they took a sample of each variety and compared their weights.

We need to find which of the given statement is true based on the given data.

The average distance between each observation and the mean is indicated by the mean absolute deviation, which is a measure of variability.

Mean absolute deviation of Grape tomatoes=0.6

Mean absolute deviation of Cherry tomatoes=0.5

Here, the mean absolute deviation of Cherry tomatoes<Mean absolute deviation of Grape tomatoes

That is, 0.5<0.6

Therefore, the statement weights of cherry tomatoes are likely to be closer to the mean is true.

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The cricket would most likely chirp 58 times per minute with an outside temperature of 78 ºF.

The input and the output of the function graphed in this problem are given as follows:

One point on the graph is given as follows:

(58,78).

This means that the cricket would most likely chirp 58 times per minute with an outside temperature of 78 ºF.

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The area of the composite figure is equal to 99 mm² square milimetresmetres.

The composite figure can be observed to be made up of two horizontal rectangle, and a vertical rectangle, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the bigger horizontal rectangle = 11 mm × 3 mm

area of the bigger horizontal rectangle = 33 mm²

area of the smaller horizontal rectangle = 5 mm × 2 mm

area of the smaller horizontal rectangle = 10 mm

area of the vertical rectangle = 14 mm × 4 mm

area of the vertical rectangle = 56 mm²

total area of the composite figure = 33 mm² + 10 mm² + 56 mm²

total area of the composite figure = 99 mm²

Therefore, the area of the composite figure is equal to 99 mm² square milimetres.

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Answer:15

Step-by-step explanation:

2(8+7) -3(5)

2(15)-15

30-15

=15

Answer:

Step-by-step explanation:

To factor 2h^2 - 7h + 5, we need to find two binomials of the form (ah + b)(ch + d) that multiply to give the original expression.

To do this, we can use a technique called "factoring by grouping":

Step 1: Multiply the first term by the constant term: 2h^2 * 5 = 10h^2.

Step 2: Find two factors of 10h^2 that add up to the coefficient of the middle term, -7h. We can see that -5h and -2h satisfy this condition, since -5h * 2h = -10h^2 and -5h + (-2h) = -7h.

Step 3: Rewrite the middle term -7h as the sum of -5h and -2h: -7h = -5h - 2h.

Step 4: Factor by grouping:

2h^2 - 5h - 2h + 5

h(2h - 5) - 1(2h - 5)

(h - 1)(2h - 5)

Therefore, the factorization of 2h^2 - 7h + 5 is (h - 1)(2h - 5).

Answer:

( 2×8) - [ ( 5 + 15 ) ÷ 5] = 32

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Given equation = 2x18-5+15/5=32

First we multiply first two letters,

then ( 2 × 18) = 36

Now, we add 5 and 15 then divide it by 5,

So, ( 5 + 15 ) ÷ 5 = 20 ÷ 5 = 4

Now we subtract 4 from 36,

Then 36 - 4 = 32

Hence the correct parentheses = ( 2×8) - [ ( 5 + 15 ) ÷ 5] = 32

Student is asking for the same question solved two minutes ago.

Answer:

The answer is D

Step-by-step explanation:

The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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Answer:

7! or 5040

Step-by-step explanation:

The first song can be one of 7. The second song can be one of 6, because there is already one song as number one. This continues for each spot, so there are 7 × 6 × 5 × 4 × 3 × 2 × 1 combinations. This can be expressed as 7 factorial, or 7!. 7! = 5040

Answer:

I believe she would have to spend 2 days on vacation.

Step-by-step explanation:

She already have 7 pictures and she takes 1 a day. Therefore, she would have to spend 2 days on vacation to get 9 pictures.

Answer:

Step-by-step explanation:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

If the inflation rate is 180%, the average prices will double in less than one year.

This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate

In this case, the inflation rate is 180%.

Therefore:Years to double = 70/180%

Years to double = 0.389 years

This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).

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Answer:

cf chocolate fudge

pbf peanut butter fudge

A) 7.50 cf + 7.00 pbf = $1,065

B) cf + pbf = 146

Multiplying equation B) by -7.50

B) -7.50cf -7.50pbf = -1,095 then adding equation A)

A) 7.50 cf + 7.00 pbf = $1,065

-.50pbf = -30

pbf = 60 pounds of Peanut butter fudge

cf = 146 -pbf = 86 pounds of peanut butter fudge

Double Check

86 + 60 = 146

7.50 * 86 + 7.00 * 60 = 1,065.00

Correct!!!

Step-by-step explanation:

Answer:But, we can tell you that in general, the length of a football pitch must be a minimum of 100 yards (90m) and a maximum of 130 yards (120 metres). The pitch must also be a minimum of 50 yards (45m) and a maximum of 100 yards (90m) wide

Step-by-step explanation:

The negation is "antarctica is not in the northern hemisphere" &  the truth value of the original proposition is FALSE and its negation is TRUE.

The sentences that can be classified as true or false , but not both are called as propositions.

For Example , "Shirt is yellow" is a proposition whereas "a is less than 2" is not a proposition as the value of a is not fixed.

Negation of proposition means writing the opposite of the given proposition.

If the proposition is true then it's truth value is "True".

If the proposition is false then it's truth value is "False".

According to the given Question

The negation of the statement "antarctica is in the northern hemisphere" is "antarctica is not in the northern hemisphere"

The truth value of the original proposition is FALSE as Antarctica is in the Southern hemisphere.

The truth value of the negation is TRUE as Antarctica is not in the Northern hemisphere it is in southern Hemisphere.

Therefore , the negation is "antarctica is not in the northern hemisphere" &  the truth value of the original proposition is FALSE and its negation is TRUE.

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Answer:

2.4× 10^4

Step-by-step explanation:

you just sum 1.6 with 0.8

\(2.4 \times {10}^{4} \)

Answer: its 500

Step-by-step explanation:

Answer: mark one point after the half mark between 1 and 2, and then the half point between 2 and 3.

Step-by-step explanation: hope this helps!

TIP

pencil =$0.12

Eraser= $0.52

Pen=$0.44

STEP 1

Three students each bought 3 pencils and an eraser.

STEP 2

Two students each bought a pen and 2 pencils

STEP 3

Total cost

THE CORRECT OPTION IS OPTION B

Answer:The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Add 10 10 to both sides of the equation. Using the slope-intercept form, the y-intercept is 10 .

Step-by-step explanation:

The cοmpany caught a tοtal οf apprοximately 557,739 ( nearest whοle number) fish οver the first 12 years.

Whοle numbers are pοsitive numbers (this includes 0) that dο nοt have decimals οr fractiοns tο them.

Tο sοlve this prοblem, we can use geοmetric prοgressiοn tο calculate the tοtal number οf fish caught by the cοmpany οver the 12 years. The first term in the sequence is 78,000, and the cοmmοn ratiο is 0.95 (since the number οf fish caught decreases by 5% each year).

The fοrmula fοr the sum οf a geοmetric prοgressiοn with n terms is:

Sₙ = a(1 - rⁿ) / (1 - r)

where a is the first term, r is the cοmmοn ratiο, and n is the number οf terms.

Tο find the sum οf the first 12 terms, we substitute a = 78,000, r = 0.95, and n = 12 intο the fοrmula:

S₁₂ = 78,000(1 - 0.95¹²) / (1 - 0.95) ≈ 557,739

Therefοre, the cοmpany caught a tοtal οf apprοximately 557,739 fish οver the first 12 years.

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There are 77,910 ways to distribute the seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear.

We can use the principle of inclusion-exclusion to solve this problem. Let A be the set of all possible ways to distribute the apples and pears without any restrictions, and let B, C, and D be the sets of ways to distribute the apples and pears such that person 1, person 2, and person 3, respectively, does not receive a pear.

We can compute |A|, the total number of ways to distribute the apples and pears, as follows:

|A| = (7 + 6) choose 3 = 78 choose 3 = 82,251

To compute |B|, we can first choose 6 pears to give to persons 2 and 3 (since person 1 cannot receive a pear). This can be done in (6 choose 2) = 15 ways. Then, we can distribute the remaining 7 apples and 1 pear to the three people in any way, which can be done in (8 choose 1) * (6 choose 2) = 84 ways. Therefore, |B| = 15 * 84 = 1,260.

Similarly, |C| = |B| and |D| = |B|, since the problem is symmetric with respect to the three people.

To compute |B intersection C|, we can choose 6 pears to give to person 3 (since persons 1 and 2 cannot receive a pear). This can be done in (6 choose 1) = 6 ways. Then, we can distribute the remaining 7 apples and 2 pears to persons 1 and 2 in any way, which can be done in (9 choose 2) = 36 ways. Therefore, |B intersection C| = 6 * 36 = 216.

Similarly, |B intersection D| = |C intersection D| = |B intersection C|, since the problem is symmetric with respect to the three people.

To compute |B intersection C intersection D|, we can simply distribute the 7 apples and 3 pears among the three people in any way, which can be done in (13 choose 3) = 286 ways.

Therefore, by the principle of inclusion-exclusion, the number of ways to distribute the apples and pears such that each person has at least one pear is:

|A intersection complement(B union C union D)| = |A| - |B union C union D| = |A| - (|B| + |C| + |D| - |B intersection C| - |B intersection D| - |C intersection D| + |B intersection C intersection D|) = 82,251 - (3 * 1,260 - 3 * 216 + 286) = 77,910.

Therefore, there are 77,910 ways to distribute the seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear.

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Answer: I'm not the best at this so you might wanna wait for another answer but I think you just half 152??? so 76 :))) but I feel like you shouldn't trust me haha

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pedometer

to get the equation of any straight line, we simply need two points off of it, let's use the provided values

\(\begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{years}&\stackrel{y}{value}\\ \cline{1-2} 3&15000\\ 5&11000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{3}~,~\stackrel{y_1}{15000})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11000})\)

\(\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{11000}-\stackrel{y1}{15000}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ -4000 }{ 2 } \implies - 2000 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{15000}=\stackrel{m}{- 2000}(x-\stackrel{x_1}{3})\)

\(y-15000=-2000x+6000\implies {\Large \begin{array}{llll} y=-2000x+21000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{after 8 years, x = 8}}{y = -2000(8)+21000}\implies \boxed{y=5000}\)

The above answer is better

The probability that a person chosen at random has run a red light in the last year can be calculated by taking the number of people who said “yes” to running a red light and dividing it by the total number of people in the group.

For example, if 10 people said “yes” and 20 said “no”, the probability of a person chosen at random running a red light in the last year is 10/30, or 1/3.

The probability of an event happening is calculated using the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcome is running a red light in the last year, and the total number of outcomes is the total number of people asked.

To calculate the probability, we take the number of people who said “yes” to running a red light in the last year and divide it by the total number of people in the group. In our example, 10/30 = 1/3, so the probability that a person chosen at random has run a red light in the last year is 1/3.

In conclusion, the probability of a person chosen at random having run a red light in the last year is calculated by taking the number of people who responded “yes” and dividing it by the total number of people in the group.

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Answer:

Step-by-step explanation:

6 > x² - 5x.

The answer for the inequality is -1 the greater than sign x greater than 6

The interval notation is ( -1,6)

Answer:

\(-1 < x < 6\)

Step-by-step explanation:

Moving all terms to one side, we get \(x^2-5x-6 < 0\). Notice that we can factor the left side. Doing so, we get \((x-6)(x+1) < 0\). The zeroes in this equation are \(x-6=0 \Rightarrow x=6\) and \(x+1=0\Rightarrow x=-1\). Now, we must create test points in the intervals: \(x < -1, -1 < x < 6, x > 6\). For example, we can choose \(x=-2,x=0,x=7\). For \(x=-2\), we get that \((-2-6)(-2+1) = 8 < 0\) is false, since the expression is positive. Doing the same thing for \(x=0\) and \(x=7\), we get that only \(x=0\) creates a negative value. This means that the values in the interval \(\boxed{-1 < x < 6}\) all work.

We need to express the inverse of the expression (a^4 c^−2 b^4) without using negative powers, given that a, b, and c are elements in a group with orders 6, 7, and unknown, respectively.

Let's start by expressing the given expression without negative powers. We have:

(a^4 c^−2 b^4)^−1 = (a^4 c^−2 b^4)^1 = (a^4 c^−2 b^4)

Next, we can rearrange the expression by applying the properties of inverses. Since the group operation is generally denoted as multiplication, we can rewrite the expression as:

(a^4 c^−2 b^4) = (a^4)^1 (c^−2)^1 (b^4)^1 = a^4 c^−2 b^4

Now, to fully express the inverse without negative powers, we need to find the inverse of each individual element. Since the orders of a and b are given as 6 and 7, respectively, we can express their inverses as:

a^−1 = a^5 and b^−1 = b^6

However, the order of element c is not provided, so we cannot determine its inverse. Therefore, the expression (a^4 c^−2 b^4) cannot be simplified further without additional information about the order of c.

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