which inequality is true if p=3.4

Okay

since the question said systems, this means we have to create more than just 1 equation for this we need to keep in mind that

1 nickel equals to 5 cents,

1n=5cents

which is the same as $0.05

also

1quarter equals 25 cents

1q=25cents

which is the same as $0.25

So, the system of equation would be the following:

where,

n is the number of nickels in his pocket, and

q the number of quarters

The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,

µ = 3. 5 and σ = 0. 5

and the random sample of 100 male students has a mean GPA 3.42 is considered.

The z-score value is,

Z=( 3.42-3.5)/ (0.5/√100)

Z= -0.08/0.05

Z=-1.6

The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:

The required probability is,

P(X>3.42)=P(z>-1.6)

= 1- P(Z≤-1.6)

From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.

P(X>3.42)= 1- P(Z≤-1.6)

=1-0.0548

=0.9452

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.

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Answer:

11h+2

Step-by-step explanation:

−17−11ℎ+19=

−17+−11h+19

Combine Like Terms:

=−17+-11ℎ+19=

(+11ℎ)+(−17+19)=−

11ℎ+2

Answer:

the correcto answer it's

25

Step-by-step explanation:

the answer it's 25

The inequality that best represents the purchase made by Gabriela, given the number of hand soaps and lotions purchased, is x + y > 12

Gabriela bought more than 12 bottles of hand soaps and lotions which simply means that the total number of these items that Gabriela bought as more than  12 bottles when added together.

The inequality would therefore be:

Number of hand soaps + Number of lotions > 12

Assuming the number of hand soaps is x and the number of lotions is y, the inequality would be:

x + y > 12

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

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

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer: See image

Step-by-step explanation:

The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.

Answer:

1.53333... mph

Step-by-step explanation:

Well, if you want to figure out the speed (miles per hour), all you need to do is divide the distance by the time. In this case, the distance is 23 miles, and the time is 15 minutes. 23/15= 1.53333...

Hope this helps!! Have an amazing day c:

The speed of the car with given distance and time is 92 miles per hour.

Given that, a car traveled 23 miles in 15 minutes.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

We know that, speed = Distance/Time

Here 15 minutes = 15/60

= 1/4 hours

Now, speed = 23 ÷ 1/4

= 23 ×4

= 92 miles per hour

Therefore, the speed of the car with given distance and time is 92 miles per hour.

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Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

\( = \frac{4}{3} \times π \times {r}^{3} \)

The volume of the sphere

\( = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} \)

\( = \frac{4}{3} \times 3.14 \times {8}^{3} \)

\( = \frac{6430.72}{3} \)

\( = 2143.573333...\)

= 2143.57 m³ (rounded to the nearest hundredth)

Answer:

The common difference is: -0.75

Step-by-step explanation:

Given

See attachment

Required

The common difference

From the graph, we have:

\(T_n: -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9.\)

The x coordinates represent the position of each term

The common difference (d) is:

\(d = T_n - T_{n-1}\)

Let \(n = 2\)

\(d = T_2 - T_{2-1}\)

\(d = T_2 - T_1\)

So, we have:

\(d = -4.5 - (-3.75)\)

\(d = -4.5 +3.75\)

\(d = -0.75\)

The given value, 1,503 passengers which represents the number of individuals that died according to the task content is; Choice B; The value is a parameter because it describes some characteristic of a population.

A parameter, in its simplest definition is a measure which describes a characteristic or feature of a population, for instance, the mean of the population.

A statistic on the other hand is a measure of the characteristic or feature of a sample such as a sample standard deviation.

On this note, the number 1503 as given in the task content is a parameter as it describes some characteristic of a population.

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Answer:

2pi

Step-by-step explanation:

r=d/2

4/2=2

A=pi*r^2

pi*2^2=4pi

semicircle is 1/2 of a circle

4pi/2=2pi

Answer:

43/9

Step-by-step explanation:

4 • 9 = 36

36 + 7 = 43

Keep the original denominator

Answer:

1e+12 is the answer lol dont worry bout it

Answer:

1,000,000,000,000 or \(10^{12}\)

Step-by-step explanation:

1,000,000*1,000,000 = 1,000,000,000,000 or \(10^{12}\)

Hope this helps!

Answer:

65

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mmmmmmmm.

Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = \(\frac{-1-1}{4-0}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\)

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of line

Answer:

Inflation allows the economy to sustain better so that the government can use some of the money to do things like improving the country.

Answer:

a) variable = X

N = 15

Mean = 50.0933

SE Mean = 1.58

StDev = 6.11

Variance = 37.3321

Sum = 751.40

b) 95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Step-by-step explanation:

variable = X

N = ?

Mean = ?

SE Mean = 1.58

StDev = 6.11

Variance = ?

Sum = 751.40

To fill in the missing quantities, we need to use some of their formulas.

For N, the number of variables

SE = Standard Error of the mean = σₓ = (σ/√N)

σₓ = Standard Error of the mean = 1.58

σ = standard deviation of the sample = 6.11

N = sample size = ?

1.58 = (6.11/√N)

√N = (6.11/1.58) = 3.8671

N = 3.8671² = 14.954374299 = 15 to the nearest whole number.

For the Mean

Mean = (Sum of variables)/(Number of variables)

Mean = ?

Sum of variables = 751.40

Number of variables = N = 15

Mean = (751.40/15) = 50.0933333333 = 50.093

For Variance

Variance = (Standard deviation)² = (6.11)² = 37.3321

b) To compute the confidence interval.

idence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 50.0933

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the z-distribution. This is because although, there is no information provided for the population standard deviation, the sample size is large enough for the sample properties to approximate the population properties.

To find the critical value from the z-tables,

z at 95% confidence level = 1.960 (from the z-distribution tables)

Standard error of the mean = σₓ = (σ/√N)

Already calculated to be 1.58

95% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 50.0933 ± (1.960 × 1.58)

CI = 50.0933 ± 3.0968

95% CI = (46.9965, 53.1901)

95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Hope this Helps!!!

subtract 5x from both sides of the equation:

Divide both sides by -6:

The question asked that we replace y with f(x):

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Answer:

the amount that nearest to the paper cost with the discount but before tax is $12.83

Step-by-step explanation:

The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:

= Cost of a photo paper - discount

= $13.50  - 5% of $13.50

= $13.50 - $0.675

= $12.83

Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83

The equation of the line passing through A and B is y = (4/5)x - (2/5).

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. The y-axis intercept is denoted by the number c. A straight line with gradient m and intercept c on the y-axis has the equation y = mx + c.

The point-slope form of a linear equation can be used to find the equation of the line passing through points A and B:

y - y1 = m(x - x1) (x - x1)

where m denotes the slope of the line, (x1, y1) denotes the coordinates of point A or B, and (x, y) denotes the coordinates of any other point on the line.

To calculate the slope, we can use points A (3, 2) and B (8, 6).

m = (y2 - y1) / (x2 - x1) = (6 - 2) / (8 - 3)\s= 4 / 5

So the equation for the line connecting A and B is:

y - 2 = (4/5)(x - 3) (x - 3)

This equation can be simplified by multiplying both sides by 5:

5y - 10 = 4x - 12

Then we can rearrange it to form the slope-intercept equation, y = mx + b:

5y = 4x - 2

y = (4/5)x - (2/5)

As a result, the equation for the line connecting A and B is y = (4/5)x - (2/5).

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My dog is licking my toes ಥ_ಥ

h0 corresponds to the initial height, 20ft.

v0 corresponds to the initial velocity, 156ft/sec.

Then we get the following equation:

To find the maximum height of the stone we could derivate h(t) and makes the derivative equals to 0.

The stone will reach its maximum height at t=4.875 seconds. The height is:

its maximum height is 400.25 ft

Answer:

D. \(tan(30^\circ+45^\circ)\) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\(\angle DCB =45^\circ\\\angle ACB =75^\circ\\\)

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \(\triangle ABC\), we are given the base BC and the \(\angle ACB\), and the perpendicular is to be find out.

We can use trigonometric identity:

\(tan\theta =\dfrac{Perpendicular}{Base}\)

\(tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft\)

Hence, D. \(tan(30^\circ+45^\circ)\) is the correct answer.

Answer:

D

Step-by-step explanation:

1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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Kim's test scores indicate that he scored as well as or better than 72% of the test takers, and 28% of the test takers scored better than him. His grade equivalent of 12.1 indicates that he would perform adequately in a twelfth grade science class.

His percentile of 88 indicates that he scored as well as or better than 88% of the test takers. His raw score of 72 does not directly indicate the percentage of questions answered correctly, but it can be assumed that he answered a majority of the questions correctly to achieve his score.

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a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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