2. Joanne's car insurance is reduced by 10% for each year that she has not had an
accident.
The normal cost of her insurance is £420 but she has a 3-years' no claims bonus.
How much is her insurance?​

Answer:

Scale factor = 3

Step-by-step explanation:

Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure

Scale factor = B'C'/BC

B'C' = 9 units

BC = 3 units

Scale factor = 9/3 = 3

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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In the graph we can identify two local minimums, with values y = 0, and at the x-values:

x = -3 and x = 3.

For a function f(x), we define a local minimum on an interval (a, b) if for a value c ∈ (a, b), then:

f(c) ≤ f(x)   ∀ x ∈ (a, b)

a) On the image we can see two local minimums (the two lowest points on the graph). The values of the minimums are both 0.

b) The values of x where we have the minimums are:

x = -3 and x = 3.

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Answer:

The probability of the next two customers both select key lime pie is 1/15

Step-by-step explanation:

No. of slices of cakes = 3

No. of key lime pies = 3

No. of ice cream sundaes = 4

Total deserts = 3+3+4=10

We are supposed to find The probability of the next two customers both select key lime pie

Probability of selecting key lime pie by first customer =\(\frac{3}{10}\)

So,Total deserts =10-1=9

No. of key lime pies = 3-1=2

So,Probability of selecting key lime pie by second customer = \(\frac{2}{9}\)

So,the probability of the next two customers both select key lime pie=\(\frac{3}{10} \times \frac{2}{9} =\frac{1}{15}\)

Hence the probability of the next two customers both select key lime pie is 1/15

Answer:

-3/4

Step-by-step explanation:

It should be -3/4 . The line doesn't have an upward slope going to the right so that means it's negative . that already eliminates C and D . So -3/4 would be right

Answer:

slope = -3/4

Step-by-step explanation:

slope is rise/run

Pick two points on the line

The y drops from 2 to -1 so the

rise = -3

The x runs from 0 to 4 so the

run is 4

slope = -3/4

Answer:

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We have the point (-6,8) and a slope of -5/3.

Step 1: Use the point-slope formula to find the equation of the line in point-slope form.

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point.

y - 8 = (-5/3)(x - (-6))

Simplify this equation:

y - 8 = (-5/3)(x + 6)

Step 2: Convert the equation to slope-intercept form.

Distribute (-5/3) to get:

y - 8 = (-5/3)x - 10

Add 8 to both sides:

y = (-5/3)x - 2

This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

The final values of $t0, $t1, $t2, and $t3 in the MIPS assembly code are 1, 2, 3, and 4, respectively.

This is because each of the 'addi' instructions adds a constant value to the specified register. The 'addi' instruction in MIPS stands for "add immediate", where the constant value is immediately added to the source register. In this case, each of the 'addi' instructions adds 1, 2, 3, or 4 to the corresponding register.

\($t0 = 0 + 1 = 1$$t1 = 0 + 2 = 2$$t2 = 0 + 3 = 3$$t3 = 0 + 4 = 4$\)\($\)

Assuming that the initial values of the registers are 0, the final values of $t0, $t1, $t2, and $t3 would be the sum of the constant value and the initial value of the corresponding register. Thus, the final values of $t0, $t1, $t2, and $t3 would be 1, 2, 3, and 4, respectively.

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The complete question is-

What are the final values of $t0, $t1, $t2, and $t3 in the following MIPS assembly code after its execution is completed, assuming that the initial values of the registers are 0?

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

Answer:

11. P7.50 x6 = P45.00

12 P580 - (P110.50 x 3) = P 580 - P 331.5 = P248.50

13. Item B costs less

14. P79.85 x12 months = P958.20

15. Given: 3.8 hours per week

52 weeks x 3.8 hours = 197.6 hours

Answer:

3.52

Step-by-step explanation:

Calculation to Find the mean for the random variable X

Using this formula

Mean(μ) =(n*p)

Where,

n=16

p=22% or 0.22

Let plug in the formula

Mean(μ)=16×0.22

Mean(μ)=3.52

Therefore the mean for the random variable X will be 3.52

Answer:

11 buses

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

1. Solve for y

2. Solve for x

3. Solve for x

4.....................

5......................

Answer:

91in^2

Step-by-step explanation:

SA of base =  7x7 = 49in^2

SA of each triangle = 1/2 x 7 x 3 = 10.5in^2

SA of all 4 triangles = 10.5 x 4 = 42in^2

SA Total = 49 + 42.= 91inch^2

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

--------------------------------------------------------------------------------------------------------------------------

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

In a parking lot, let x stand in for the length of the vehicles. This would be regarded as a discrete form of variable.

What exactly are discrete variables?

The procedure used to ascertain a discrete variable's value is counting. One illustration is the number of students present. how many red marbles there are in the jar. How many heads are present after the flip of three coins? students' grade level.

                         The discrete distributions most frequently used by statisticians and analysts are the multinomial, Poisson, Bernoulli, and binomial distributions. There are further instances, including the negative binomial distribution and the geometric and hypergeometric distributions.

The number of vehicles in the parking lot is a discrete numerical variable rather than a continuous one because there are only a finite number of possible values rather than an infinite number and because it must be an integer and cannot be a value between integers. In this instance, discretion is the best course of action.

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The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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The equation of the transformed function is (c) g(x) = 4(1/3x)²

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = horizontally shrunk of f(x) by a factor 1/3 and vertical stretch by a factor of 4

The above equations implies that, we have the transformation to be:

Mathematically, this can be represented as

g(x) = 4f(1/3x)

Substitute the known values in the above equation, so, we have the following representation

g(x) = 4(1/3x)²

Hence, the transformed function is g(x) = 4(1/3x)²

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At a drug research testing facility:

To find the probability that the drug will wear off in less than 200 minutes:

The z-score is (200-240)/40 = -1.

Using a standard normal distribution table or calculator, P(z < -1) = 0.1587. Therefore, the requested probability is P(x < 200) = 0.1587.

To find the probability that the drug will wear off after 220 minutes:

The z-score is (220-240)/40 = -0.5.

Using a standard normal distribution table or calculator, P(z < -0.5) = 0.3085. Therefore, the requested probability is P(x > 220) = 0.3085.

To find the probability that the drug will wear off between 200 and 220 minutes:

Using the z-scores calculated above, find the area between them on the standard normal distribution. P(-1 < z < -0.5) = 0.1867.

Therefore, the requested probability is P(200 < x < 220) = 0.1867.

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Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

The length of the arc of the circle that has a radius of 16 inches and a central angle of 75 degrees is calculated as 6.66π inches (to two decimal places).

The length of an arc is calculated using the formula below:

arc length = θ/360 * 2 * π * r

Given the variables:

Central angle (θ) = 75 degrees

radius (r) = 16 inches

Plug in the values:

arc length = 75/360 * 2 * π * 16

length of arc ≈ 6.66π inches (to two decimal places).

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The values of the composite functions are g(f(0))= -3 and f(f(2)) = 5

From the question, we have the following parameters that can be used in our computation:

f(x)= 2x-1 g(x)=3x and h(x)=x^2+1

To calculate g(f(0)), we have

f(0)= 2(0)-1 = -1

This means that

g(f(0)) = g(-1)

So, we have

g(f(0)) = 3(-1) = 3

For f(f(2)), we have

f(2)= 2(2)-1 = 3

So, we have

f(f(2)) = 2(3) - 1 = 5

Hence, the composite functions are g(f(0))= -3 and f(f(2)) = 5

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Using trigonometric identities, we found that sec Φ = -7/(2√10), sin Φ = 3/7, tan β = √11/5, and sin β = √11/6 for the given values of csc Φ, cot Φ, and sec β.

1. We can start by using the Pythagorean identity to find the values of sin Φ:

\(sin^2\) Φ + \(cos^2\) Φ = 1

Since csc Φ = 1/sin Φ, we can substitute and solve for sin Φ:

1/(7/3) = sin Φ

sin Φ = 3/7

Next, we can use the fact that cot Φ = cos Φ/sin Φ:

cot Φ = cos Φ/(3/7) = - (2√10)/(3)

Simplifying this expression, we get:

cos Φ = - (2√10)/(3) * (3/7) = - 2√10/7

Finally, we can use the fact that sec Φ = 1/cos Φ:

sec Φ = 1/(- 2√10/7) = -7/(2√10)

2. We can use the fact that sec β = 1/cos β to find the value of cos β:

sec β = 6/5

cos β = 5/6

Next, we can use the Pythagorean identity to find the value of sin β:

\(sin^2\) β + \(cos^2\) β = 1

sin β = √(1 - \(cos^2\) β) = √(1 - 25/36) = √(11/36) = √11/6

Finally, we can use the fact that tan β = sin β/cos β:

tan β = (√11/6)/(5/6) = √11/5

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Answer:

9/f +6

Write 9/f as a fraction.

According to the image, the point F is at (4,-4). Remember that the first number is about x-coordinate, and the second number is about y-coordinate.