What types of insurance is David likely to get through his employer?

Answer:

4/7

Step-by-step explanation:

even: 2, 4, 6

less than 2: 1

total number of cards of interest: 3 + 1 = 4

total number of cards: 7

P(even or less than 2) = 4/7

Answer:

4/7

Step-by-step explanation:

Let's find how many numbers are even: 2, 4, and 6. That's 3 even numbers.

How many numbers are less than 2? 1. There's only 1 number less than 2.

There is a total of 7 cards. 3 out of 7 of them are even, so our probability of choosing an even number is 3/7. 1 out of 7 of them is less than 2, so our probability of choosing a number less than 2 is 1/7.

Now, because the operation is "or", we add these two fractions:

3/7 + 1/7 = 4/7

The answer is thus 4/7.

~ an aesthetics lover

Answer:

B. (-12)(-12)=144 Hope that helps

Step-by-step explanation:

When a shape is reflected, it must be reflected over a line

The reflection rule is: \(R_{x = 2}(\triangle D EF) = \triangle D'E'F\)

The coordinates of the preimage are:

D(3,6), E(-4,-3), F(6,1)

The coordinates of the image are:

D'(1,6), E'(8,-3), F'(-2,1)

From the given coordinates, we have the following observations

This is shown as follows:

D(3,6) and D'(1,6)

The y-coordinate is:

\(y = 6\)

The average of the x-coordinates

\(x = \frac{3 + 1}{2}\)

\(x = 2\)

E(-4,-3) and E'(8,-3)

The y-coordinate is:

\(y = -3\)

The average of the x-coordinates

\(x = \frac{-4 + 8}{2}\)

\(x = 2\)

F(6,1) and F'(-2,1)

The y-coordinate is:

\(y =1\)

The average of the x-coordinates

\(x = \frac{6 -2}{2}\)

\(x = 2\)

Since the y-coordinates remains unchanged and the average of the x-coordinates is 2.

Then, we can conclude that the triangle was reflected over line \(x = 2\)

Hence, the reflection rule is:

\(R_{x = 2}(\triangle D EF) = \triangle D'E'F\)

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Answer: D

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

This should do it. I hope it is clear.

This is a right triangle.

To find length PQ we need to use the pythagorean theorem; we have to remember that it states that:

where a and b are the legs and c is the hypotenuse.

Applying it to the triangle given we have:

Therefore the side PQ=7

To determine the angle R we can use the cosine function that is defined as:

then for angle R we have:

Hence angle R=16.26°.

Now, for angle P we use the fact that the interior angles of any triangle have to add to 180°, then we have:

Therefore angle P=73.74°

Answer:

its a

Step-by-step explanation:

you can tell by the ways the set up the problem

Answer:

a on edge

Step-by-step explanation:

\( \frac{ - 13}{4} \: \: \: \frac{ - 5}{4} \: \: \: \frac{ - 1}{4} \: \: \: \frac{3}{4} \)

this is your answer

Answer: 25,67%

Step-by-step explanation:

We have 11 girls and 14 boys, this is a total of 11 + 14 = 25 students.

If all the students have the same probability of being infected, the probability that a girl will get infected first is equal to the number of girls dividedthe total number of students:

p1 = 11/25

Now we get a boy infected, the number of boys is 14, and the total number of students is now 24 (because we already have a girl infected)

this probability is p2 = 14/24

The probability for both events is equal to the product of the probabilities:

P = p1*p2 = (11/25)*(14/24) = 0.2567

or 25,67%

Answer:

She attempted 200  throws

Step-by-step explanation:

Percentage of free throws for the basketball player = 60%

the Let Total attempts made be x

Number of free attempts made = 120

Number of free attempts made =60% of total attempts made

120 = 60/100 *x

120 = 60x/100

x = 120*100/60 = 200

Thus, She attempted 200  throws

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

Mr. Li

Step-by-step explanation:

$447.75 is 4.5% of $9,950 - Mr. Li earns a 4.5% commission

$453.20 is 4.4% of $10300 - Ms. Brown earns a 4.4% commission

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

123847323247647525547824817703412

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

Y = 0

X= 1/2

Z = -1/2

Step-by-step explanation:

4x-y+ 2z=-1

-x+y-3z= 1

-x+2y + 5z = 2

Solving simultenously

Y= 4x + 2z -1

Y =1+ 3z+ x

Y =x/2 -( 5z/2) - 1

Equating y will give two equations

3x-z = 2

3x + 11z = -4

Subtracting the equations

-12z =6

Z= -1/2

Substituting z

3x +1/2 = 2

3x = 3/2

X= 1/2

Substituting x and z to find y in

-x+y-3z= 1

-1/2 + y +3/2 = 1

Y = 1-1

Y = 0

Answer: b) is answer

Step-by-step explanation:

An equation for the function graphed above is \(y = \frac{4(x - 1)}{(x + 1)(x - 4)}\).

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function shown above, we can logically deduce that its vertical asymptotes include the following;

x = -1 ⇒ x + 1 = 0.

x = 4 ⇒ x - 4 = 0.

In this context, an equation that represent its denominator is given by the following quadratic function:

Q(x) = (x + 1)(x - 4)

Assuming the leading coefficient of the function P(x) is represented by a;

P(x) = a(x - 1)

By evaluating and solving for the leading coefficient "a" in this function, we have;

f(x) = P(x)/Q(x)

f(x) = a(x - 1)/[(x + 1)(x - 4)]

f(0) = a(0 - 1)/[(0 + 1)(0 - 4)]

f(0) = -a/[(1)(-4)]

f(0) = a/4

Since the y-intercept of this graph is located at (0, 1), the value of the leading coefficient (a) can be calculated as follows;

1 = a/4

1 = a/4

a = 4 × 1

a = 4

By substituting the value of the leading coefficient (a) into the function, we have the following;

f(x) = P(x)/Q(x)

f(x) = y = 4(x - 1)/[(x + 1)(x - 4)]

\(f(x) = y = \frac{4(x - 1)}{(x + 1)(x - 4)}\)

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The median income from the given income distribution would be Rs. 34, 000.

The lowest income of the highest 10 % would be Rs. 40, 000.

Find the total number of earners sampled :

= 5 + 25 + 60 + 100 + 125 + 140 + 150 + 156

= 761 people

This means that the median income would be at :

= ( 761 + 1 ) / 2

= 381 position

The income at the 381 st position is Rs. 34, 000 so this must be the median.

The lowest of the highest 10 % would be the 90th percentile which would have the position of:

= 90 % x 761

= 685 position

The income at the 685 th position is Rs. 40, 000.

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For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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Answer:

5 hours

Step-by-step explanation:

Here we can create an equation to solve for the number of hours (x) this man can skate for.

Since he has to pay a $9 flat fee, that will be a constant value or our y-intercept in this case.

Our equation will be y = 2x + 9

Since we know his budget is $19, we can set our equation equal to 19, or replace y in this case.

So now we have 19 = 2x +9

Now we need to subtract 9 from both sides to get 10 = 2x

Then we need to divide both sides by 2 to get 5 = x

So this man can skate for 5 hours considering his budget

Answer:

Step-by-step explanation:

2(3x + 12y - 5 - 17x - 16y +4)

the 2 outside the bracket means we need to multiply everything by 2

=

6x+24y-10-34x-32y+8

now put all the like-terms together

6x-34x+24y-32y+8-10

now add them together

=-28x-8y-2

now find the HCF

2

put 2 outside the bracket and then divide every number by 2

2(-14x-4y-1)

this is as simplified it can get

For a given value of n, the approximate values of the integral using these methods are 2.674716 (Trapezoidal Rule), 2.655838 (Midpoint Rule), and 2.638014 (Simpson's Rule).

a) Trapezoidal Rule: 2.674716

b) Midpoint Rule: 2.655838

c) Simpson's Rule: 2.638014

To approximate the given integral with the specified value of n, we can use the trapezoidal rule, the midpoint rule, and Simpson's rule. The trapezoidal rule approximates the integral by dividing the interval into n equal subintervals and calculating the sum of the areas of the trapezoids formed by connecting the midpoints of the intervals. The midpoint rule approximates the integral by calculating the area of each subinterval by using the midpoint of the interval as the height. Simpson's rule approximates the integral by calculating the area of each subinterval by using a parabola to fit the points of the interval. For a given value of n, the approximate values of the integral using these methods are 2.674716 (Trapezoidal Rule), 2.655838 (Midpoint Rule), and 2.638014 (Simpson's Rule).

Trapezoidal Rule:

n = 10

h = (b-a)/n = (3-1)/10 = 0.2

Approximate value = 0.2 [f(1) + 2f(1.2) + 2f(1.4) + 2f(1.6) + 2f(1.8) + 2f(2) + 2f(2.2) + 2f(2.4) + 2f(2.6) + 2f(2.8) + f(3)]

= 0.2 [1 + 2.2492 + 2.4976 + 2.742 + 2.9724 + 3.1848 + 3.3776 + 3.5504 + 3.7024 + 3.8332 + 4]

= 2.674716

Midpoint Rule:

n = 10

Approximate value = 0.2 [f(1.1) + f(1.3) + f(1.5) + f(1.7) + f(1.9) + f(2.1) + f(2.3) + f(2.5) + f(2.7) + f(2.9)]

= 0.2 [2.2192 + 2.4776 + 2.722 + 2.9524 + 3.1648 + 3.3576 + 3.5304 + 3.6824 + 3.8132 + 4.00]

= 2.65583

Simpson's Rule:

n = 10

Approximate value = (h/3) [f(1) + 4f(1.2) + 2f(1.4) + 4f(1.6) + 2f(1.8) + 4f(2) + 2f(2.2) + 4f(2.4) + 2f(2.6) + 4f(2.8) + f(3)]

= (0.2/3) [1 + 4.2492 + 2.4976 + 4.742 + 2.9724 + 3.1848 + 3.3776 + 3.5504 + 3.7024 + 3.8332 + 4]

= 2.6

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Answer:

You should add both sides by 1 to isolate the variable first.

To continue solving, divide both sides by -7 and you end up with p = -2.

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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