What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

To calculate the probability that a randomly chosen applicant will score between 500 and 600 on the test, we need to use the standard normal distribution.

We'll convert the given scores into z-scores and then find the corresponding probabilities using a standard normal distribution table or a statistical calculator. First, let's calculate the z-score for the lower boundary of 500: z1 = (500 - 560) / 90 = -0.667

Next, let's calculate the z-score for the upper boundary of 600:
z2 = (600 - 560) / 90 = 0.444. Now, we can find the probability associated with each z-score. Using a standard normal distribution table or a calculator, we find that the probability corresponding to z1 is approximately 0.2525, and the probability corresponding to z2 is approximately 0.6700.

To find the probability between these two boundaries, we subtract the lower probability from the upper probability:
P(500 < X < 600) = P(z1 < Z < z2) = P(Z < z2) - P(Z < z1) = 0.6700 - 0.2525 = 0.4175 Therefore, the probability that a randomly chosen applicant will score between 500 and 600 on the test is approximately 0.4175, or 41.75%.

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Steps to solve:

-2x = 38

~Divide -2 to both sides

x = -19

Since this equation is solvable, it is a literal equation

Best of Luck!

Answer:

-6

Step-by-step explanation:

Answer) The endoplasmic reticulum takes the proteins that are made by the ribosomes and folds them into sacs that are called cisternae. It then transports these folded proteins to the Golgi apparatus. The Golgi apparatus is a series of membranes that look like flattened pancakes

I hope it is helpful

Answer:

um hola

Step-by-step explanation:

ANSWER

EXPLANATION

The given translation

This means the shape will be translated 3units to the right and 2 units up.

That is;

Answer:

3(x+4)=5x-9

or,3x+12=5x-9

or,12+9=5x-3x

or,21=2x

orx=21/2

x=10.5

The value of x from the given rectangle is 10.5 units.

The opposite sides of a rectangle are 3(x+4) and 5x-9.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

Now, the opposite sides of a rectangle are congruent

So, 3(x+4) = 5x-9

⇒ 3x+12=5x-9

⇒ 5x-3x=12+9

⇒ 2x=21

⇒ x=10.5 units

Therefore, the value of x from the given rectangle is 10.5 units.

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Answer:

1

Step-by-step explanation:

14 - 2 x 7

15 - 3 x 5

GCF of 14 and 15: 1

Answer:

6/10 of a mile in one hour

Step-by-step explanation:

3.25 ÷ 5.5 = 0.59 or approx 0.6 miles

The research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals is False.

Emotional intellect is the capacity to recognize and regulate a person's emotions and comprehend the emotions the others. A high EQ helps you to build connections, lower team stress, defuse battles and improve job fulfillment.

It can help a graduate evolve the best at what they do, be the best coworker possible, and achieve professional victory. Communication, partnership, and relationship-building skills are enhanced by higher levels of emotional intelligence. It also enables best focus on the work.

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The complete question is-

research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals.

a. True

b. False

To avoid the problem of not having access to Tables of F distribution when F values are needed for the lower tail, the numerator of the test statistic for a two-tailed test should be the one with the larger sample variance.

This is because the F-distribution is asymmetric and it is easier to find the F-value for the larger sample variance in the upper tail and then use the complement rule to find the F-value for the smaller sample variance in the lower tail. Sample size does not affect which numerator should be used in a two-tailed test.

To avoid the problem of not having access to Tables of F distribution when F values are needed for the lower tail, the numerator of the test statistic for a two-tailed test should be the one with the larger sample variance. This approach ensures that the F value is greater than 1, making it easier to find in the F distribution table.

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Systematic risk is the type of risk for which you can be rewarded with a higher expected return.

So, the correct answer is A

Systematic risk, also known as market risk or non-diversifiable risk, affects the entire market and cannot be eliminated through diversification.

Investors are compensated for taking on systematic risk through higher expected returns as they bear the fluctuations and uncertainties associated with the overall market.

In contrast, firm-specific, diversifiable, and idiosyncratic risks are specific to individual companies or industries and can be mitigated through diversification in an investment portfolio, so investors don't get rewarded with higher expected returns for these types of risks

Hence, the answer of the question is A.

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48 kilometers

29 + 19 = 48

hope this is helpful!

Polygons are closed two-dimensional shapes with straight sides. They have various characteristics, including the number of sides, angles, and the presence of parallel sides. These properties help classify and identify different polygon shapes

The number of sides in a polygon determines its shape. For example, a triangle has three sides, a quadrilateral has four sides, and a pentagon has five sides. The number of sides can vary, and polygons with more sides are called n-gons, where "n" represents the number of sides.

The number of angles in a polygon is equal to the number of sides. Each vertex, or corner, of a polygon corresponds to an angle. For instance, a triangle has three angles, a quadrilateral has four angles, and so on. The sum of the interior angles of any polygon can be calculated using the formula (n-2) × 180 degrees, where "n" is the number of sides.

Parallel sides are a characteristic of specific types of polygons called parallelograms. Parallelograms have opposite sides that are parallel and congruent. This means they never intersect and are of equal length.

Understanding these properties of polygons allows for the identification and classification of different shapes based on their number of sides, angles, and the presence of parallel sides. These properties play a fundamental role in geometry and shape analysis.

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The final cost if paid within 15 days is $51.91 ($53.52 - $1.61).

The electrician purchased 30 double-pole, double-branch cutouts listed at $6.40 per box of 5, with a 25% discount, and 8 surface panels listed at $4.75 each, with a 35% discount. If the bill is paid within 15 days, an additional 3% discount is applied.

First, we need to calculate the cost of cutouts and surface panels separately. For the cutouts, 30 cutouts are equivalent to 6 boxes (30/5). With the 25% discount, the price per box becomes $4.80 ($6.40 * 0.75). So, the total cost for cutouts is $28.80 (6 * $4.80).

For the surface panels, with the 35% discount, the price per panel becomes $3.09 ($4.75 * 0.65). The total cost for 8 panels is $24.72 (8 * $3.09).

Now, we add the costs together: $28.80 (cutouts) + $24.72 (panels) = $53.52. Lastly, we apply the 3% discount for paying the bill within 15 days, which is $1.61 ($53.52 * 0.03).

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Answer:

here you go! 36

Step-by-step explanation:

Answer:

I believe its the third one, its makes a symmetrical line so that's my guess

Step-by-step explanation:

The rest don't make a line

Answer:

5% of 600 is 30, then you multiply the 30 by the 4 years which gives you 120. then you add the original 600 with the 5 person from the four years which is 120 that comes to 720. so 720 is how much is in salma's account after 4 years.

Answer:

See below.

Step-by-step explanation:

The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.

I'll do problem a as an example:

Answer:

6.003*10^5

Step-by-step explanation:

The value of n is 30.33. The thirty-fourth term can be found by solving for the common difference (d) and the number of terms (n) in the arithmetic sequence and then using the formula for the nth term of an arithmetic sequence.

Let's assume that the common ratio of the geometric sequence is r. Then, the terms of the geometric sequence are given by:

\(a_2 = a_1 * ra_{10} = a_1 * r^8a_{34} = a_1 * r^{32}\)

Since these terms also appear in the arithmetic sequence, we can write:

\(a_2 = a_1 + da_{10} = a_1 + 9da_{34} = a_1 + 33d\)

Substituting the expressions for a_2 and a_{10} from the geometric sequence into the arithmetic sequence, we have:

\(a_1 * r = a_1 + da_1 * r^8 = a_1 + 9d\)

Solving for d, we get:

\(d = a_1 * (r - 1)d = a_1 * (r^8 - 1) / 9\)

Next, we use the expression for a_{34} from the arithmetic sequence and substitute the expression for d to obtain:

\(a_{34} = a_1 + 33d = a_1 + 33a_1 * (r^8 - 1) / 9\)

Since the first term of the arithmetic sequence is 1, we have:

\(a_{34} = 1 + 33 * 1 * (r^8 - 1) / 9\)

The value of n can be found by using the formula for the nth term of an arithmetic sequence:

\(a_n = a_1 + (n-1)d\)

Setting n = 34 and substituting the expression for d, we have:

\(a_{34} = 1 + (33) * (a_1 * (r^8 - 1) / 9)\)

So the thirty-fourth term of the arithmetic sequence is:

\(a_{34} = 1 + 33 * (1 * (r^8 - 1) / 9) = 34 - 33/9.\)

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Complete Question:

An arithmetic sequence with first term 1 and common difference not equal to 0 has second, tenth, and thirty-fourth terms that form a geometric sequence.

What is the thirty-fourth term of the arithmetic sequence?

The fourth term in the geometric sequence above appears as the nth term in the arithmetic sequence. Find the value of n.

The light travels 3534000 miles in 19 seconds

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

We have

d (t) =186,000 t

When the light travels in 19 s, the value of t is 19

So, we have

t = 19

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

d(19) =186,000 * 19

Evaluate

d(19) = 3534000

Hence, the light travels 3534000 miles in 19 seconds

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Answer:

£20.44

Step-by-step explanation:

Step 1: find the area of the total area of the garden.

Total area = l*w

Where,

l = 10 m

w = 6 m

Total area of garden = 10*6 = 60m²

Step 2: find the area of the vegetable patch.

Area of vegetable patch = l*w = 2*1.5 = 3m²

Step 3: find the area covered by pond.

Area covered by pond = πr²

Take π as 3.14

r = 2m

Area of pond = 3.14*2² = 12.56 m²

Step 4: find the area of the remainder of the garden to be reseeded.

Area of the remainder of the garden = total area of the garden - (area of the vegetable patch + area of pond)

= 60 - (3 + 12.56)

= 60 - 15.56

Area of the remainder of the garden = 44.44 m²

Step 5: calculate the total cost to reseed the garden.

Given that a bag of seed to cover 10m² is £4.60, total cost to reseed the remainder of the garden measuring 44.44 m² can be calculated bas follows:

10 m² = £4.60

44.44 m² = \( \frac{44.44*4.60}{10} = 20.44 \)

The answer is £20.44

The value of the python expression ((10 >= 5*2) and (10 <= 5*2)) is True

An expression in Python is a combination of operators and operands. An example of expression can be : x = x + 1 0 x = x + 10 x=x+10. In this expression, the first 1 0 10 10 is added to the variable x. After the addition is performed, the result is assigned to the variable x.

The code will definitely return a Boolean value(True or False).

For the expression to be True , the two statements must be True. The AND gate returns True if the whole statement is True.

(10 >= 5*2) is True because 10 is equals to 5 × 2 = 10.

(10 <= 5*2) is True because 10 is equals to 5 × 2 = 10.

The two statements are True . Therefore,

True and True = True.

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The given question is incomplete, taking a similar question:

What's the value of this Python expression? ((10 >= 5*2) and (10 <= 5*2))

Answer:

Step-by-step explanation:

Plot your first point at coordinates (-3,-1). Then, plot your second point at (0,-2). You will notice this graph is a negative slope, given -1/3x from the equation, and that it shifts down 2 on the y-axis, given the -2 from the equation. Hope this helps!

Leave a tip of $3.00 on a $20.00 bill is an appropriate gesture for a 15% tip based on appropriate percentage.

Leaving a tip for good service at a restaurant is a common practice, and it shows appreciation and respect for the hard work of the staff. Mary and John's bill at a restaurant is $20.00, and they plan to leave a 15% tip for the server based on percentage.

To calculate the tip amount, we need to convert the percentage into a decimal form by dividing it by 100. Therefore, 15% becomes 0.15 in decimal form. Multiplying this decimal value by the total bill amount of $20.00 gives us the tip amount, which is $3.00.

It is important to note that while tipping is a customary practice, it is not mandatory. The amount of the tip is also subjective and may depend on various factors such as the quality of service, the atmosphere of the restaurant, and the level of satisfaction of the customer. However, a general rule of thumb for good service is to leave a tip of 15% to 20% of the total bill amount.

In conclusion, a $3 tip on a $20 note is a suitable gesture for a 15% tip. It is a modest gesture to thank the server for their hard work and recognize their efforts in making the dining experience enjoyable.

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Complete Question: Mrs. Johnson wishes to leave a 15% tip on a $100 bill at the restaurant. How much money should she leave behind, roughly?

About $5.00 Brought to you by A

B. roughly $15.00 C. roughly $20.00