Which statement best explains the relationship between the numbers divisible by 6 2 and 3.

Answer:

x=-3.14

or -3 with -.5 remainder

Step-by-step explanation:

PEMDAS

Parenthesis Exponent Multiply Divide Add Subtract

parenthesis  3.5*x=3.5x 3.5*2=7

3.5x+7=-4

subtract 7 from both sides

3.5x=-11

divide both sides by 3.5

x=-3.14

or -3 with -.5 remainder

Answer:

x=-22/7

Step-by-step explanation:

multiply 3.5 and x then multiply 3.5 and 2. this will get you 3.5x+7=-4. next you need to subtract the 7 from the -4, resulting in 3.5=-11. finally divide -11 and 3.5, after that you get the answer of x=-22/7 or -3 1/7. if you need decimal form that will be -3.142857

Answer:

The bananas weigh 3 3/4 pounds.

Answer: 3 3/4

Step-by-step explanation:

All we have to do is multiply the weight of the grapes by 2 1/4.

= 1 2/3 x 2 1/4

= 5/3 x 9/4

= 45/12

= 3 9/12

= 3 3/4

The probability that an applicant taking the screening test will score between 90 and 110 is approximately 0.6827 or 68.27%.

To calculate the probability, we need to convert the test scores into z-scores, which measure the number of standard deviations an individual score is from the mean. The formula to calculate the z-score is:

z = (x - μ) / σ,

where x is the individual score, μ is the mean, and σ is the standard deviation.

For the lower bound of 90, the z-score would be:

z = (90 - 100) / 10 = -1.

For the upper bound of 110, the z-score would be:

z = (110 - 100) / 10 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores. The probability of scoring between 90 and 110 is equivalent to the probability of the z-score falling between -1 and 1.

Looking up the values in the standard normal distribution table, we find that the probability of a z-score falling between -1 and 1 is approximately 0.6827. Therefore, the probability that an applicant will score between 90 and 110 on the screening test is approximately 0.6827 or 68.27%.

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Answer:

Y = M

N = Z

Reasoning: The lines are perpendicular

Step-by-step explanation:

Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Yes, your friend is not correct about the stem and leaf plot.

The stem and leaf plot made by your friend is:

Stem | Leaves

2 | 5, 6

4 | 2, 4, 7

5 | 0, 1, 5, 5

Key : 4 | 2 = 42

When the data points from these are taken, we have :

25 , 26 , 42 , 44 , 47 , 50, 51, 55, 55

This is the same as the data provided of :

51, 25, 47, 42, 55, 26, 50, 44, 55

So, your friend's stem and leaf plot is indeed correct.

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The expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is :

44.65%.

To calculate the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em, we need to consider the probability of getting a face card and the number of face cards in the deck.

Determine the number of face cards in a standard deck of 52 cards.
There are 4 suits (hearts, diamonds, clubs, spades) and 3 face cards in each suit (jack, queen, king). So, there are 4 x 3 = 12 face cards in total.

Calculate the probability of getting a face card in the first card.
The probability is the number of face cards divided by the total number of cards: 12 face cards / 52 total cards = 12/52 = 3/13 ≈ 0.23077.

Calculate the probability of getting a face card in the second card.
Since one card is already drawn, there are 51 cards left in the deck and 11 face cards left (assuming the first card was a face card). The probability is 11 face cards / 51 total cards ≈ 0.21569.

Calculate the expected value of getting a face card in a player's initial two-card hand.
Expected value (EV) = Probability of getting a face card in the first card + Probability of getting a face card in the second card
EV ≈ 0.23077 + 0.21569 ≈ 0.44646

So, the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is approximately 0.44646 or 44.65%.

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Answer:

Step-by-step explanation:

q minus 22 = 24: Add 22 to both sides. The answer is 46.

Answer:

4

Step-by-step explanation:

stem is the first number so it would just be all the numbers in the stem 3.

Answer:

B

Step-by-step explanation:

4^(-3-1)5^(4-2) = 4^(-4)5^2 = 5^2/4^4

Answer: B

The response variable in the study that Ann has done here can be said to be Time spent exercising.

This is the name that is used to refer to the dependent variable. This is the variable that is of interest in the study. The goal is to see the changes that occurs in the particular variable based on the actions that another variable would have such as the independent variable.

From this we can see that The response variable in the study that Ann has done here can be said to be Time spent exercising.

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Answer:  D) $36,528.75

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

Explanation:

Positive inflation eats away at the purchasing power of money.

If inflation is 4.5%, then the purchasing power goes down by 4.5% meaning his purchasing power is 100% - 4.5% = 95.5% of what it used to be.

95.5% of $38,250 = 0.955*38250 = 36,528.75

So his purchasing power is $36,528.75

The purchasing power of Bart by the income of last year is option D. $36,528.75.

Inflation can simply be defined as the increase in the rate of the prices over a period of time. In other words, inflation describes how much more expensive has a commodity or service becomes in a period of time.

It is clear that, inflation decreases the purchasing power of money.

Given that, the inflation rate is 4.5%.

Also, Bart had an income of $38,250 last year.

Purchasing power will get decreased by 4.5%.

Purchasing power = $38,250 - ($38,250 × 4.5%)

                              = $38,250 - (1721.25)

                              = $36,528.75

Hence the purchasing power of Bart is $36,528.75.

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The aspect ratio of the desk is 3:2

Aspect ratio can be described as the ration of the width to the height of an object

The desk is 36 inches long

The width is 24 inches

The aspect ratio can be calculated as follows

= 36/24

= 6/4

= 3/2

Hence the aspect ratio is 3:2

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Answer:

the minimum is 771 erasers while the maximum is 789 erasers

Step-by-step explanation:

Answer:

40.4%

Step-by-step explanation:

Given data

Initial depth= 5feet

Final depth= 5-3.2+6.6= 8.4feet

Hence the percent change

% change= FInal-initial/final*100

% change= 8.4-5/8.4*100

% change= 3.4/8.4*100

% change= 0.404*100

% change=40.4%

Hence the percent change is 40.4%

Percentage change between two measurement is the proportion of

change between the measurement expressed as a percentage.

The percentage change in the river depth in in 1848 is 106.25%

Reasons:

The given parameters are;

The depth of the river in the year 1846 = 5 feet

In the year 1847, the depth = 3.2 feet

In 1848 the depth = 6.6 feet

\(\displaystyle Percentage \ change = \mathbf{ \frac{Current \ depth - Previous \ depth}{Previous \ depth}}\)

Which gives;

\(\displaystyle Percentage \ change = \frac{6.6 -3.2}{3.2} \times 100 = \mathbf{106.25 \%}\)

The percentage change in the river depth in the current period = 106.25%

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Two vectors in ℝ⁴ are orthogonal if their dot product is zero.

Two vectors in ℝ⁴ are said to be orthogonal if their dot product is zero. The dot product of two vectors measures the similarity or alignment between them. When the dot product is zero, it signifies that the vectors are perpendicular to each other and do not share any common direction.

Geometrically, orthogonality between two vectors in ℝ⁴ means that they are linearly independent and span different directions in four-dimensional space. It implies that there is no projection of one vector onto the other, and they are completely perpendicular to each other.

The concept of orthogonality is fundamental in many areas of mathematics, physics, and engineering. In linear algebra, orthogonal vectors play a crucial role in defining orthogonal bases and orthogonal projections. They also have applications in vector calculus, where they are used to define gradients and normal vectors. In physics, orthogonal vectors are relevant in studying forces, velocities, and geometric transformations. Overall, understanding orthogonality is essential for analyzing vector relationships and geometric properties in multi-dimensional spaces.

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Answer:

Hello! Your answer is BELOW

Step-by-step explanation:

The best answer to the question that is being stated above would be letter B. The graph of a function never has two different points with the same x-coordinate because the input value of each of the points is mapped to a single output value in the graph.  

Hope I helped! Hope you make an 100%

-Amelia♥

Answer:

Step-by-step explanation:

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

    Expression that is most useful,

    Factored form: -2(p - 3)(p - 9) = 0

    p = 3, 9

b). The profit when the price is zero .

    Standard form:

    Profit = -2p² + 24p - 54 = 0

    -p² + 12p - 27 = 0

    -p² + 3p + 9p - 27 = 0

    -p(p - 3) + 9(p -3) = 0

     (-p + 9)(p - 3) = 0

     p = 3, 9

c). The price that gives the maximum profit.

   Vertex form: -2(p - 6)² + 18

   Vertex of the given expression → (6, 18)

   Maximum profit will be at p = 6.

   Therefore, profit = -2(6 - 6)² + 18 = 18

The higher the RPN value, the more critical the risk. In this case, the RPN is 70 which is considered to be moderate and needs to be acted upon to prevent a possible outcome.

Risk Priority Number (RPN) is a quantitative way of prioritizing risk. To calculate RPN from the following: severity = 7, occurrence = 2, and detectability = 5, the following steps are used:

Step 1: Multiply severity, occurrence, and detectability to get the risk priority number (RPN). That is, 7 x 2 x 5 = 70.

Step 2: To calculate the RPN, make a list of all the potential risks and the severity, occurrence, and detectability ratings for each risk. The RPN is calculated by multiplying the severity, occurrence, and detectability ratings together. RPN values range from 1 to 1,000 or higher.

Step 3: Once you have identified the risks and calculated their RPN values, prioritize them.

The higher the RPN value, the more critical the risk. In this case, the RPN is 70 which is considered to be moderate and needs to be acted upon to prevent a possible outcome.

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The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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Answer:

A.

Step-by-step explanation:

The slope (derivative) can be calculated by differentiating both sides of the linear equation with respect to x.

y = 1/6 of x + 60

y' = +1/6

The y-intercept indicates the y-value of the curve (temperature) (=60 deg F) at x=0 (0 chirps/min)

Answer:

4

Step-by-step explanation:

first you put them all in smalet to bigest so it would be 2, 4, 6, 8, 9 but if them 6 was 3 it would be 2, 3, 4, 8, 9

median is the middle numder

Hope This Helped

Answer:

Option C ladies and gentlemen

Step-by-step explanation:

the person above is correct :)

Answer: Option C

Step-by-step explanation: The graph is compressed horizontally by a factor of 2, moved left 4 units, and moved down 4 units.

Hope this helps <33

Answer:  3(7+12) - 2

Step-by-step explanation:

8 hours is twice as many as 4:

Multiply the number of windows in 4 hours by 2:

32 x 2 = 64 windows in 8 hours

Answer:

64

Step-by-step explanation:

32÷4=8 8 car windows per hour. 8×8=64

a) The given function is f(x) = x⁴ − 2x² + 3. We can find the local maxima and minima of the function using its first derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xIf f'(x) = 0, then x = 0 or x = ±1.

The critical values of f(x) are −1, 0, and 1.Therefore, the function has local maxima at x = ±1 and a local minimum at x = 0.b) We need to find the intervals of concavity and the inflection point of the given function.

To find the concavity, we will use the second derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xf''(x) = 12x² − 4If f''(x) = 0, then x = ±sqrt(3/2).The critical values of f''(x) are −sqrt(3/2) and sqrt(3/2).

Therefore, the function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) To find the intervals on which the function is increasing or decreasing, we need to analyze the sign of the first derivative:

f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xThe function is decreasing on the interval (−∞, 0) and increasing on the intervals (0, 1) and (−1, ∞).

Thus, the function is increasing on (0, ∞) and decreasing on (−∞, 0).So, the intervals of increase are (0, ∞) and intervals of decrease are (−∞, 0).

Therefore, the simple answer is:

a) The function has a local maximum at x = ±1 and a local minimum at x = 0.

b) The function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) The function is increasing on (0, ∞) and decreasing on (−∞, 0).

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Step-by-step explanation:

2 + 3 × (8 + 53 ÷ 1)

we first work out the equation in the brackets

so...

(8 + 53 ÷ 1)

division comes first so we divide 53÷1 which is 1 so the equation looks like this:

(8+53)

we work this out and get

61

then we work the rest out

2 + 3 × 61

multiplication comes first so...

3×61= 183

and

2+ 183= 185

Therefore 2 + 3 × (8 + 53 ÷ 1)= 185

Hope this helped- have a good day bro cya)

\(\huge\text{Hey there!}\)

\(\large\boxed{\rm{2 + 3 \times (8 + 53 \div 1})}}\\\large\boxed{\rightarrow 2 + 3 \times (8 + 53)}\\\large\boxed{\rm{\rightarrow 2 + 3\times 61}}}\\\large\boxed{\rightarrow \rm{2 + 183}}\\\large\boxed{\rightarrow \rm{185}}\\\\\large\boxed{\text{Therefore, your answer is: 185}}\huge\checkmark\\\\\large\textsf{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}\)

Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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