-3x+2=-7
what does x =??

Answer:

Interval Notation : ( -3, ∞)

Step-by-step explanation:

graph:

Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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Answer:

==========================

Identities we will use:

===========================

Given expression:

Factorize it by completing the square and setting the difference of squares:

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

The percent of nonconforming items in the sample is 5.3%.

1. Calculate the total number of items in the sample (300).

2. Calculate the number of nonconforming items in the sample (16).

3. Calculate the total number of conforming items in the sample (284).

4. Divide the number of nonconforming items by the total number of items in the sample to get the percentage of nonconforming items (16/300 = 0.053).

5. Divide the number of conforming items by the total number of items in the sample to get the percentage of conforming items (284/300 = 0.947).

6. Multiply the result by 100 to get the percent of nonconforming items in the sample (0.053 x 100 = 5.3%).

7. Multiply the result by 100 to get the percent of conforming items in the sample (0.947 x 100 = 94.7%).

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Answer:

12 square yards

Step-by-step explanation:

The formula for area is A = l x w The length is 4 and the width is 3. Now that you know these values, you can substitute them into the equation and get the actual area as the answer. 3 x 4 = 12, so the answer is 12 square yards.

The measures of an exterior angle are 21,60°, and an interior angle is 360° in the given regular polygon with 14 sides.

An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.

Interior angles of a polygon = (sides - 2) × 180°

To determine the measures of an exterior angle and an interior angle given a regular polygon with 14 sides.

Interior angles of a polygon = (sides - 2) × 180°

In this case, the number of sides is 14

Interior angles of a polygon = (14 - 2) × 180

Interior angles of a polygon = (12) × 180

Interior angles of a polygon = 21,60°

And, Exterior angles are always 360°  in the regular polygon.

Therefore, the measures of an exterior angle are 21,60°, and an interior angle is 360° in the given regular polygon with 14 sides.

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Solution

For this case we have 5 different people

And we want to find the number of possible combinations with the combination that Libbey or Lee cannot be next to Luke so we can do this:

Total of combinations:

5*4*3*2*1= 120

there are 2* 4! = 2*4*3*2*1= 48 combinations where Libbey would be next to Luke

And there are other 2*41= 2*4*3*"2*1= 48 combinations where Lee would be next to Luke

Then the possible combinations are:

120 - 48 -48 = 24

Then the best answer is :

D. 24

Answer:

6/7

Step-by-step explanation:

Slope is y2-y1/x2-x1

-5+11/-1+8

6/7

Answer:

its is 6 over 7 so 6/7 that will be your answer welcome have a nice dayyy hope this helps

Answer:

the full numbers is 9, 27, 81, 243.

Answer:

243

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

An appropriate research design which may be employed is to perform a random assignment of the 150 students into two groups whereby a certain group is made to perform the jumping exercise and the other group sitting still for 5 minutes, after this concentration level is measured in both groups in other to evaluate if there are differences in concentration levels between the two groups.

Given the hypothesis :

H0: There is no difference in the mean improvement of long-term concentration for either treatment.

Ha: The mean improvement of long-term concentration is greater for the jumping jacks treatment.

A type 1 error occurs when a true null is rejected ; this means that we conclude that The mean improvement of long-term concentration is greater for the jumping jacks treatment when this is actually not true. Hence, students will be allowed to do jumping jack in class but there won't be any improvement.

A type 11 error occurs when we fail to reject a false null hypothesis ; Hence, we conclude that There is no difference in the mean improvement of long-term concentration for either treatment when the jumping Jacks treatment actually does improve concentration level. Hence, the school will fail to allow students do jumping jack in class.

In my opinion, type 11 error is more serious in this scenario because, the school would have failed to identify and ignored a treatment which makes it's students attain a better level of concentration.

Answer:

??

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

median is the middle value.

1. arrange in numerical order

65, 74, 77, 88, 92

2. cross out all outside numbers untill you find the middle value

65, 74, 77, 88, 92

3. it's 77

Answer:

n(A) = 5

Step-by-step explanation:

The cardinality of a set is the total number of elements in the set

Given the set

A = {a,e,i,o,u}

The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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Simplifying this fraction gives us 1/4. The answer is (D) 1/4.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

Let's start by finding the fraction of Michelle's patients who are under 12 or over 65. We know that one-third of her patients are under 12, so two-thirds must be 12 or older. Similarly, five-twelfths of her patients are over 65, so seven-twelfths must be 65 or younger.

Now, we want to find the fraction of Michelle's patients who are between 12 and 65. To do this, we need to subtract the fraction of patients who are under 12 or over 65 from 1 (since these are the only two age groups we're considering).

Fraction of patients under 12: 1/3

Fraction of patients over 65: 5/12

Fraction of patients 12 to 65: 1 - 1/3 - 5/12

We can simplify this expression by finding a common denominator:

Fraction of patients 12 to 65: 12/12 - 4/12 - 5/12

Fraction of patients 12 to 65: 3/12

Simplifying this fraction gives us 1/4. Therefore, the answer is (D) 1/4.

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Answer:

c (72)

Step-by-step explanation:

since there are four wheels to every bike, you just have to multiply the number of bikes to the amount of wheels per bike. given this, 18 * 4=72.

Answer :S/5 = 28

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

28+13=41. So, 91-41=50

Answer:

x = 4

Step-by-step explanation:

5 = 1/2x + 3

x = 2 * 2 = 4

Answer: No. The triangles are not congruent because their side lengths are different.

Step-by-step explanation:

NO. Clare is wrong because, after dilation, the corresponding side lengths of triangle ABC (pre-image) and triangle A'B'C' (image) are different. They are not congruent.

Recall:

Thus, after dilation, triangle ABC and triangle A'B'C' cannot be congruent to each other. They are rather similar to each other because the side lengths of the image and pre-image will definitely be different from each other.

In summary, NO. Clare is wrong because, after dilation, the corresponding side lengths of triangle ABC (pre-image) and triangle A'B'C' (image) are different.

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To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:

C. 4/12 = 5/15 = 1/3

Step-by-step explanation:

I calculated it logically

Answer:

The answer is A

Step-by-step explanation:

Answer:

-2/3x

hope this helps

have a good day :)

Step-by-step explanation:

The probability that a woman is actually pregnant given that the test is positive is 0.974 (or 97.4%).

a) To find the probability that a woman is actually pregnant given that the test is positive, we can use Bayes' theorem:

P(p|+) = P(+|p) P(p) / P (+)

where P(p) is the prior probability of a woman being pregnant (which is 0.82), P (+) is the probability of a positive test result, and P(+|p) is the conditional probability of a positive test result given that the woman is pregnant.

We are given that the test has a false positive rate of 0.02, which means that P(+|~p) = 0.02 (where ~p denotes "not pregnant"). We are also given that the test has a correct positive rate of 0.95, which means that P (+|p) = 0.95. Therefore, we can calculate:

P (+) = P(+|p) P(p) + P(+|~p) P(~p)

= 0.95 * 0.82 + 0.02 * (1 - 0.82)

= 0.802

Substituting into Bayes' theorem, we get:

P(p|+) = 0.95 * 0.82 / 0.802

= 0.974

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Answer: yes

Step-by-step explanation:

because if you were to ask someone this question they would respond with a number but a lot of people would reply with different answers which shows variability if it were to be compared with other different answers.  A statistical question is one that can be answered by collecting data and where there will be variability in that data.