Write the percent as a fraction or a mixed number in simplest form 3.4% = …?

Answer:

look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.

given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°

now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°

Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180

aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°

Answer:

4.8

Step-by-step explanation:

The function is determined using speed and is found to be d = 120t.

Speed is generally the change in distance per unit time. (rate of change of distance)

To calculate speed, we will use speed = distance/time.

speed = 360/3

           = 120km/hr

Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.

120 = d/t

Hence, d = 120t.

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The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

36/9=4

Step-by-step explanation:

i tried it on khan it worked

This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.

A: Relationship 1:

The relationship between x and y is y = 2x.

When graphed on a coordinate plane, the points (0,0), (1,2), (2,4), (3,6), and (4,8) form a straight line, indicating that the relationship is proportional.

Relationship 2:

The relationship between x and y is y = x2.

When graphed on a coordinate plane, the points (0,0), (1,1), (2,4), (3,9), and (4,16) form a parabolic curve, indicating that the relationship is not proportional.

This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.

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Answer:

R=i

Step-by-step explanation:

R=i×100÷p×t

r=30105×100÷6570×12

r=3010500÷78840

r=38.18

Given the expression:

9p + 8p

To simplify the expression by combining the like terms, we have:

9p = (p) (p) (p) (p) (p) (p) (p) (p) (p)

8p = (p) (p) (p) (p) (p) (p) (p) (p)

Now, let's combine both ps:

9p + 8p = (p) (p) (p) (p) (p) (p) (p) (p) (p) + (p) (p) (p) (p) (p) (p) (p) (p) = 17p

After counting the number of p, we have 17p.

Therefore, a simplified expression for the cost in dollars is $17p

ANSWER:

$17p

This question is incomplete, the complete question is;

Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

options

a) 15.541

b) 9.326

c) 6.750

d) 12.592

Answer:

the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Step-by-step explanation:

Given that;

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

Given that we have 240 races

Using x² test.

we have to calculate the expected frequency

so

E(1) = 240 × 1/6 = 40

E(2) = 240 × 1/6 = 40

E(3) = 240 × 1/6 = 40

E(4) = 240 × 1/6 = 40

E(5) = 240 × 1/6 = 40

E(6) = 240 × 1/6 = 40

Now we know that,

x²_cal = [∑( Oi - Fi)²] / Fi

so

x²_cal  = (44-40)²/40 + (33-40)²/40 + (50-40)²/40 + (32-40)²/40 + (45-40)²/40 + (35-40)²/40

= 0.4 + 1.225 + 2.5 + 1.6 + 0.625 + 0.4

=  6.75

Therefore the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Answer:

10

Step-by-step explanation:

2[32-(4-1)^3]

Use the Order of Operations (PEMDAS)

1.)  2[32-(3)^3]

2.)  2(32-27)

3.)  2(5)

4.)  10

Answer:

the answer is .45 I am assuming

The solution to the equation x - 25 = 2 is x = 27.

What is the equation?

An equation is a mathematical statement that asserts the equality of two expressions. In other words, it is a statement that states that two values are equal.

To solve the equation x - 25 = 2, we first add 25 to each side of the equation:

x - 25 + 25 = 2 + 25

Simplifying the right side of the equation, we get:

x = 27

Hence, The solution to the equation x - 25 = 2 is x = 27.

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Answer:

3x+10>10

Step-by-step explanation:

Answer:

3x+10

Step-by-step explanation:

The x is the sticker books because there could be any amount of stickers in there and the 10 is the new stickers.

Answer:

x = 2

Step-by-step explanation:

First, subtract 3 from both sides.

2x + 3 = 7

     - 3    -3

2x       = 4

Then, divide both sides by 2.

2x / 2 = 4 / 2

x = 2

Answer:

the solution for x is x = 2

Step-by-step explanation:

To solve for x, we need to get x by itself on one side of the equation. First, we can subtract 3 from both sides to get:

2x + 3 - 3 = 7 - 3

Simplifying the left side gives us:

2x = 4

Then, we can divide both sides by 2 to get:

2x / 2 = 4 / 2

Simplifying the left side gives us:

x = 2

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

The base case is true, since

1² = 1

1 (6×1² - 3×1 - 1) / 2 = 1

Assume the equality holds for n = k, so that

1² + 4² + 7² + … + (3k - 2)² = k (6k ² - 3k - 1) / 2

Then for n = k + 1, we would have

1² + 4² + 7² + … + (3k - 2)² + (3 (k + 1) - 2)² = k (6k ² - 3k - 1) / 2 + (3 (k + 1) - 2)²

… = (6k ³ - 3k ² - k) / 2 + (3k + 3 - 2)²

… = (6k ³ - 3k ² - k) / 2 + (3k + 1)²

… = (6k ³ - 3k ² - k) / 2 + 9k ² + 6k + 1

… = (6k ³ - 3k ² - k + 18k ² + 12k + 2) / 2

… = (6k ³ + 15k ² + 11k + 2) / 2

We want to end up with

(k + 1) (6 (k + 1)² - 3 (k + 1) - 1) / 2

which means the numerator should have a factor of k + 1; it does, since

(6k ³ + 15k ² + 11k + 2) / (k + 1) = 6k ² + 9k + 2

This quotient should be equal to

6 (k + 1)² - 3 (k + 1) - 1

and it is; you can confirm this by expanding:

6 (k ² + 2k + 1) - 3 (k + 1) - 1 = 6k ² + 9k + 2

and we're done.

"Let x be any vector in \(C^n\), let q = \(x^T\)Ax, and let A be an n-by-n real matrix with the characteristic that \(A^T\) = A. By confirming that q = q, the equalities below demonstrate that q is a real number.

Let A be n x n real matrix with the property that. \(A^T = A\).

if Ax = λx.

(Ax) = λx

\(xA^T=\) λx

xA = λx( and therefore dλ are real, A =\(A^{T}\) = and dλ = λ).

x(A-λL) = 0

Therefore, A-λL is a real matrix.

Assume that A is a n by n matrix with a characteristic polynomial defined by det(λI−A). The number of times an eigenvalue of A appears as a root of that distinctive polynomial is known as its multiplicity.

and x (λI-A) = 0

Therefore, x(λL-A) is also real.

X1 is real.

Therefore, since is one of A's eigenvalues, there exists a nonzero vector X\(C^n\) such that AX=X

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After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Based on the calculations, the value of x is equal to 7.

Given the following data:

To write an equation and and solve for x:

Mathematically, the area of a rectangle is given by this formula:

\(A=LW\)

Where:

For the equation:

\(133 = 7(3x-2)\)

Simplifying further, we have:

\(133 = 21x-14\\\\21x=133+14\\\\21x=147\\\\x=\frac{147}{21}\)

x = 7.

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Answer:

It is 0.30 or in words, 30 hundredth.

Step-by-step explanation:

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer: As we know that the formula of outlier is

IQR = Q3 - Q1

= 52 - 32

= 20

52 + 1.5(20) = 82...

so anything above 82 is an outlier

now

32 - 1.5(20) = 2.

..anything below 2 is an outlier

so...the 83 is outlier

so correct option is D

hope it helps

Step-by-step explanation:

Answer:

770,400

Step-by-step explanation:

770,400 seconds

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

Answer:

Hi liddywiddy, sorry you had to wait so long

There are 20 teachers in all

Step-by-step explanation:

the ratio 3:2 is now 12:x

12 / 3 = 4

so the multiplier is 4

now:

4x2 = 8

Next we add them: 12+ 8 = 20

Answer:

20 teachers in all

Step-by-step explanation:

12 / 3 = 4,

4 * 2 = 8,

so 12 + 8 = 20