David Seal's annual base premium is $812. His driver-rating factor is 1.4. How much is his annual premium?

Answer:

y = 3/5x + 4/5 (1st Option)

Step-by-step explanation:

Step 1: Write known variables

m = 3/5

y = 3/5x + b

Step 2: Find b

-1 = 3/5(-3) + b

-1 = -9/5 + b

b = 4/5

Step 3: Rewrite equation

y = 3/5x + 4/5

Answer:

in short it's y = 3/5x + 4/5

good luck!

-Rainbow Dash

The Classification of each sample ( i.e., sampling technique ) are

1) Cluster sampling is a type of sampling in which the whole population is divided into separate groups (clusters). After which a simple random sample is selected from these clusters to conduct the analysis. To determine whether the students have less homework to do now as compared to the previous year, all teachers of two buildings in a large school districted are interviewed. In the provided scenario, the two buildings can be considered as two cluster. Since, all the teachers of these two strata are interviewed, the sampling method can be considered as cluster sampling.Hence, the sampling method can be considered as a cluster sampling.

2)Systematic sampling is a type of sampling in which every k member is included in the sample, after the selection of the first unit. According to the question, every seventh customer is asked about his/her favorite store. Since, every seventh customer is asked about his/her favorite store, the sampling method can be considered as a systematic sampling.

3) Simple random sampling is a type of sampling in which every unit of the population has an equal chance of being included in the sample.

In the provided scenario, nursing supervisors are selected using random numbers. That is, the nursing supervisors are selected randomly from the population. Hence, the sampling method can be considered as simple random sampling.

4) According to the question, every hundredth Hamburg manufactured is checked. Since, every hundredth Hamburg manufactured is selected for checking, the sampling method can be considered as a systematic sampling.

5) Stratified random sampling is one of type of sampling techniques, which is used for a heterogeneous population. In case of stratified sampling, the heterogeneous population is divided into strata before collecting the sample . According to the question, mail carriers are divided into four groups according to gender and the route use by them. Then 10 people are selected randomly from each group for interview. Therefore, the population is divided into four groups according to two different characteristics and then 10 people are selected randomly from each group. Hence, the sampling method can be considered as stratified sampling.

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Complete question :

Classify each sample as random, systematic, stratified, or cluster

1. In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.

2. Every seventh customer entering a shopping mall is asked to select his or her favorite store.

3. Nursing supervisors are selected using random numbers in order to determine annual salaries.

4. Every hundredth hamburger manufactured is checked to determine its fat content.

5. Mail carriers of a large city are divided into four groups according to gender (male or female) and according to whether they walk or ride on their routes. Then 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year.

Answer:

The null and alternative hypothesis for this study are:

\(H_0: \mu=18500\\\\H_a:\mu< 18500\)

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

\(H_0: \mu=18500\\\\H_a:\mu< 18500\)

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624\)

This test is a left-tailed test, so the P-value for this test is calculated as:

\(P-value=P(z<-2.624)=0.004\)

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Answer:

\(A = 25\pi\)  or  25 × 3.14 = 78.5m

Step-by-step explanation:

The radius is half of the diameter. So the radius = 5m  (10/2)

\(A = \pi r^{2}\)

\(A = \pi (5^{2} )\)

\(A = 25\pi\)

Answer:

No solution

Step-by-step explanation:

Because there are no values of x that make the equation true.

Hope this helps:)

Answer:

7x+8

Step-by-step explanation:

12x-5x    +       6 + 8

Answer:

It's C

Step-by-step explanation:

Can I have brainliest

Answer:

26.7

Step-by-step explanation:

Use a  c a l c u l a t o r :P

Answer:

130 degrees

Step-by-step explanation:

DE+DA=130

Answer:

This is an arithmetic fraction written under the line that indicates the equal part, the divisor.

Step-by-step explanation:

Answer:denominator is the lower part of a fraction.

Step-by-step explanation:

Feel pleasure to help u...

Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Answer:

$20.32 or $12.16 depending on the question below!

Step-by-step explanation:

$320.32

It's a bit ambiguous, the current Principal is $100 plus 2 $ additions of $100 or the current Principal is $0 plaus 2 years of $100 contributions. In this case it's $212.16

A) The probability that the Aerospace Company wins both contracts is 29.04%.

B) The probability that the Aerospace Company loses both contracts is 70.96%.

C) The probability that the Aerospace Company wins only one contract is 23.76%.

Probability describes the chance or likelihood of an expected event occurring out of many outcomes.

Probability is a ratio of an outcome versus many possible events.

Probability is represented as a percentage, fraction, or decimal, like a ratio.

The probability of winning the first contract = 44%

The probability of losing the first contract = 56% (1 - 44%)

The probability of winning the first and the second contract = 66%

The probability of losing the first and the second contract = 34% (1 - 66%)

The probability of losing the first contract and winning the second = 54%

A) The probability that they win both contracts = the probability of winning the first contract multiplied by the probability of winning the second contract.

= 29.04% (44% x 66%)

B) The probability that they lose both contracts = 1 minus the probability of winning both contracts.

= 70.96% (1 - 29.04%)

C) The probability that they win only one contract = the probability of winning the first contract multiplied by the probability of winning only the second contract.

= 23.76% (44% x 54%)

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Answer: The athletes would need to run a total of 3 laps around the track to run 3 miles.

Step-by-step explanation: 3x1=3 tada

z-score for value 550 =  0.5

z-score for value 660 = 1.6

z-score for value 500 = 0

z-score for value 440 = -0.6

z-score for value 270 = -2.3

What is the standard deviation?

A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

We are given a sample with a mean of 500 and a standard deviation of 100.

i.e.,  µ= 500 and  s= 100

The z score distribution is given by;

             Z =  (X-µ)/s ~ N(0,1)

where X represents the data values;

So, z score for value 550 is;

                z score =(550-500)/100  = 0.5

So, z score for value 660 is;

                z score = (660-500)/100  = 1.6

So, z score for value 500 is;

                z score = (550-500)/100  = 0

So, z score for value 440 is;

                z score =  (440-500)/100  = -0.6

So, z score for value 270 is;

                z score = (270-500)/100  = -2.3

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z-score for value 550 =  0.5

z-score for value 660 = 1.6

z-score for value 500 = 0

z-score for value 440 = -0.6

z-score for value 270 = -2.3

What is the standard deviation?

A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

We are given a sample with a mean of 500 and a standard deviation of 100.

i.e.,  µ= 500 and  s= 100

The z score distribution is given by;

            Z =  (X-µ)/s ~ N(0,1)

where X represents the data values;

So, z score for value 550 is;

               z score =(550-500)/100  = 0.5

So, z score for value 660 is;

               z score = (660-500)/100  = 1.6

So, z score for value 500 is;

               z score = (550-500)/100  = 0

So, z score for value 440 is;

               z score =  (440-500)/100  = -0.6

So, z score for value 270 is;

               z score = (270-500)/100  = -2.3

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Answer: The correct answer is A, \((-2)^{2}\).

Step-by-step explanation:

A negative multiplied with another negative is a positive. Squaring is multiplying an integer by itself. Thus, it would look like -2×-2, which is equal to 4. I hope this helps!! :)

The length of side KL is approximately 4.8 cm.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. In other words:

a/sin(A) = b/sin(B) = c/sin(C)

Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.

Using the Law of Sines, we can set up the following proportion:

l/sin(L) = m/sin(M)

Where l is the length of side KL, L is the measure of angle KLM (which is 72 degrees), m is the length of side LM, and M is the measure of angle KML (which we can find by subtracting L from 180 degrees).

M = 180 - L

= 180 - 72

= 108 degrees

Now we can substitute the given values into the proportion and solve for l:

l/sin(72) = 5.9/sin(108)

l = sin(72) * (5.9/sin(108))

≈ 4.8 cm (rounded to the nearest 10th of a centimeter)

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The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

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A chemist is using 383 milliliters of a solution of acid and water.

If 17.3% of the solution is acid, how many milliliters of acid are there?

We basically need to calculate 17.3% of 383 milliliters.

Therefore, the solution has 6.3 milliliters of acid.

Answer:

Step-by-step explanation:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Answer:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Step-by-step explanation:

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer:

b

Step-by-step explanation:

-3x is the rate of change, so minus 3X= -17/3

The probability of selecting an 8 is \(\frac{4}{52}\) since there are 4 total 8's available (8 of hearts/spades/diamonds/clubs) out of 52 cards. This simplifies to \(\frac{1}{13}\). The probability of selecting a face card is \(\frac{12}{52}\) since there are 4 Jacks, 4 Queens, and 4 Kings. This simplifies to \(\frac{3}{13}\).  1 - \(\frac{3}{13}\) = \(\frac{13}{13}\) - \(\frac{3}{13}\) =\(\frac{10}{13}\).

There are four suits (hearts, spades, diamonds, and clubs), each with 13 cards from Ace to King, in a conventional 52-card deck of playing cards. As a result, there are four of each potential card.

(A) The probability of selecting an 8 is  \(\frac{4}{52}\) since there are 4 total 8's available (8 of hearts/spades/diamonds/clubs) out of 52 cards. This simplifies to \(\frac{1}{13}\).

(B) The probability of selecting a face card is \(\frac{12}{52}\) since there are 4 Jacks, 4 Queens, and 4 Kings. This simplifies to \(\frac{3}{13}\).

(C) The probability of NOT selecting a face card is \(\frac{40}{52}\) since there are 4 of each card from Ace through 10 that are not face cards. This simplifies to 10/13. The solution to part B's question can be used as another way to approach this issue. If the probability of selecting a face card is 3/13, then the probability of NOT selecting a face card has to be 1 - \(\frac{3}{13}\) = \(\frac{13}{13}\) - \(\frac{3}{13}\) =\(\frac{10}{13}\). Recall that you must deduct from 1 since the probability of all conceivable outcomes must add up to 1, or 100%.

Therefore, the probability of selecting an 8 is \(\frac{4}{52}\) since there are 4 total 8's available (8 of hearts/spades/diamonds/clubs) out of 52 cards. This simplifies to \(\frac{1}{13}\). The probability of selecting a face card is \(\frac{12}{52}\) since there are 4 Jacks, 4 Queens, and 4 Kings. This simplifies to \(\frac{3}{13}\). the probability of NOT selecting a face card has to be 1 - \(\frac{3}{13}\) = \(\frac{13}{13}\) - \(\frac{3}{13}\) =\(\frac{10}{13}\).

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Answer:

It will cost 12p a one apple

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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the answer is

\(B. \: {v}^{2} {w}^{2} + {15v}^{2} {w}^{3} + 2\)

Hope this helps you!

The prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the number.

Using prime factorisation, we shall consider the first five prime numbers which are; 2, 3, 5, 7, and 11.

45 cannot be divided by 2 without a remainder so we use 3;

45/3 = 15

15 can also be divided by 3 so;

15/3 = 5

3 cannot divide 5 without a remainder so we use 5;

5/5 = 1

hence;

45 = 3 × 3 × 5

45 = 3² × 5¹

Therefore, the prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹

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Answer: Stand A

Step-by-step explanation:

A.

3/4 of a pound is $2

\(\frac{4}{3} x=2\\\\\x=\frac{2}{\frac{3}{4} } =\boxed{\frac{8}{3} \ or\ 2.66}\)

Therefore one pound is $2.7 rounded

B.

\(\frac{5}{4} x=3.45\\\\x=3.45*\frac{4}{5} \\\\x=\boxed{2.76}\)

Therefore one pound is $2.8 rounded

C.

\(\frac{11}{2} x=14.85\\\\x=14.85\times\frac{2}{11} \\\\x=\boxed{2.7}\)

Therefore one pound is $2.7

The stand that sold tomatoes for the least expensive price per pound is Stand A because they sold theirs for $2.66 while the other stands sold them for more.