Pick the answer that represents two inequalities using the following pair of numbers.



-21 and -22


−21 > −22; −22 > −21−21 > −22; −22 > −21 (A)

−21 < −22; −22 < −21−21 < −22; −22 < −21 (B)

−21 > −22; −22 < −21−21 > −22; −22 < −21 (C)

−21 < −22; −22 > −21 (D)

The result of 1/11 in the base 10 system is given as is 0.09.

To visualize the long division of 1 ÷ 11 in a base ten system:

Set up the long division: 11 outside and 1.00 inside the division bracket.

Place the decimal point in the quotient above the dividend's decimal point.

Bring down the first digit (0) and divide 11 into 10; it goes 0 times.

Subtract the product (0) from 10, leaving 10.

Bring down the next digit (0) and divide 11 into 100; it goes 9 times.

Subtract 99 from 100, leaving a remainder of 1.

The result is 0.09.

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To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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The probability that exactly 20 out of 30 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.1031, or 10.31%.

To find the probability that exactly 20 out of 30 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = (n C k) * p^k * (1 - p)^(n - k),

where:

P(X = k) is the probability of exactly k successes,

n is the total number of trials (number of smartphone users selected),

k is the number of successes (number of smartphone users using their smartphones in meetings or classes),

p is the probability of success in a single trial (percentage of adults using smartphones in meetings or classes), and

(n C k) represents the binomial coefficient, which can be calculated as n! / (k! * (n - k)!)

Given that the percentage of adults using smartphones in meetings or classes is 42% or 0.42, we have p = 0.42. Also, n = 30 and k =

Substituting these values into the binomial probability formula:

P(X = 20) = (30 C 20) * 0.42^20 * (1 - 0.42)^(30 - 20).

To calculate the binomial coefficient (30 C 20), we can use the formula:

(30 C 20) = 30! / (20! * (30 - 20)!).

Calculating (30 C 20):

(30 C 20) = 30! / (20! * 10!) = (30 * 29 * 28 * 27 * 26 * 25 * 24 * 23 * 22 * 21) / (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 30,045,015.

Substituting the values into the formula:

P(X = 20) = 30,045,015 * 0.42^20 * (1 - 0.42)^(30 - 20).

Calculating the expression:

P(X = 20) ≈ 0.1031.

Therefore, the probability that exactly 20 out of 30 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.1031, or 10.31%.

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The probability for this case is P = 0.147

To solve this problem, we can use the binomial probability formula. In this case, we have a binomial distribution with the following parameters:

The formula for the probability of exactly x successes in n trials is:

\(P(X = x) = (N_x) * p^x * (1 - p)^(n - x)\)

Where:

\((N_x) = n! / (x! * (n - x)!)\)

Calculating the binomial coefficient:

\((30_{20}) = 30! / (20! * (30 - 20)!) = 30! / (20! * 10!)\)

Using the given values, we can calculate the probability as follows:

\(P(X = 20) = (30_{20}) * (0.42^{20}) * (1 - 0.42)^{(30 - 20)} = 0.147\)

that is the probability.

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Answer: 0

Step-by-step explanation:

When x = 6, y = 0 [since the graph passes through (6,0)].;

The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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Answer:

y + 6 = 3/5(x - 4)  

Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁)

y1 = -6, x1 = 4

y - (-6) -> y +6

y +6 = 3/5(x - 4)

4 dollars flat $4.00

Step-by-step explanation:

1.25x4= 5$ 5$+5$=10$

Answer:

4 candy bars

Step-by-step explanation:

you have to subtract $5 from $10, which is $5, then take the .25 from the candy bar. Add $4 candy bars to $5, $9, and then add in the .25. .25 times 4 is $1, and $9+$1 is $10

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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Answer:

Step-by-step explanation:

Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.

If they take in 8 animals, the number of cats is ½ of 8 = 4.

If they take in 6 cats, then the total number of animals is 2×6 = 12.

If they take in 16 animals, the number of cats is ½ of 16 = 8.

F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

Answer:

n=1

Step-by-step explanation:

-n+4=8n-5

9=9n

n=1

hope that helps

Answer:

The answer is 18.

Step-by-step explanation:

Putting it straight into the calculator as you see it gives you 18.

Answer:

18

Step-by-step explanation:

Hope this helps : )

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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The feasible region is the area below the line x+3y=9, below the line 3x+y=9, and to the right of the y-axis and the bottom of the x-axis.

What are the steps to make the graph for the feasible region?

To graph the feasible region, we first graph the boundary lines of the inequalities.

To graph the line x + 3y = 9, we can first find its intercepts by setting x = 0 and y = 0:

When x = 0,

3y = 9, so y = 3

When y = 0, x = 9

So the line passes through the points (0, 3) and (9, 0).

To graph the line 3x + y = 9, we can again find its intercepts:

When x = 0, y = 9

When y = 0,

3x = 9, so x = 3

So the line passes through the points (0, 9) and (3, 0).

Now we can shade the region that satisfies all the inequalities, which is the region below the line x + 3y = 9, below the line 3x + y = 9, and to the right of the y-axis and the bottom of the x-axis (since x and y must both be greater than or equal to 0).

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Answer:

d the its simpel

Step-by-step explanation:

Answer:

SOH CAH TOA

The ratios of sine, cosine and tangent.

Step-by-step explanation:

Sine: Opposite / Hypotenuse

Cosine: Adjacent / Hypotenus

Tangent: Opposite / Adjacent

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer: $79.12

Step-by-step explanation:

We have to find total amount that was paid for dinner

5 people each order was worth $12.80

Therefore, total bill = 12.80*5

= $64

Tax: 7.5%

Therefore, the bill after tax was:

\(=64(\frac{100+7.5}{100})\\= 64(1.075)\\\)

Bill with tax = $68.8

Gratuity = 15.0% of bill with tax

Therefore, gratuity = 0.15 * 68.8

= $10.32

Ended up paying in total = Gratuity + Bill with tax

= $68.8 + $10.32

= $79.12

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

-4 + -2 = -6

Step-by-step explanation:

Answer:

-4 + -2 = -6.

Step-by-step explanation:

Answer:

Exponential decay is represented by the equation:

y = a * e^(-bx)

where:

y is the final value

a is the initial value

b is the decay rate

x is the time variable

The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:

ln(y/a) = -bx

b = -ln(y/a)/x

So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.

The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.

if this helps, can you please mark my answer brainliest?

Answer: the only y-intercept is 8

Step-by-step explanation:

One way I remembered equations when I was doing algebra with only an x or a y was HOY VUX.

H - horizontal
O = slope
Y = the variable in the line equation

V  =vertical
U = undefined slope
X = the variable in the line equation

As we can see this is a horizontal line so there will be no x-intercepts.

6y = 48

y = 8

the only y-intercept is 8

Answer:

Step-by-step explanation:

This is a linear function (a line), meaning it can be modeled in the form y=mx+b.

Taking two points that lie on the line, say (-1, 2) and (3, -1),

m=(-1-2)/(3-(-1))=-3/4.

So we have y=(-3/4)x+b.

Substituting in the point (-1, 2), we get that 2=(-3/4)(-1)+b

2 = 3/4 + b
b = 5/4

Therefore, y=(-3/4)x + 5/4.

Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.

A graph can be described  as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.

In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.

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Answer:

A. 11.2

Step-by-step explanation:

But this has nothing to do with 5.6 × 2. Erase that! Lol.

You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.

The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.

The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.

The hypotenuse is 14.

Let's do some Pythagorean Theorem.

Leg^2+ leg^2=hypotenuse^2

you know,

a^2 + b^2 = c^2

fill in what we know.

8.4^2 + b^2 = 14^2

simplify.

70.56 + b^2 = 196

subtract 70.56

b^2 = 125.44

squareroot both sides

b = 11.2

Answer:

Step-by-step explanation:

It's not exactly true.

Suppose s = 4

It is a factor of 16. The greatest common factor between 4 and 16 is not 16. It would only be 4.

So the answer to the question is false.

Answer:

True

Step-by-step explanation:

The biggest common factor of a dactor of 16 and 16 would be 16

Answer:

you can simply the answer a = 48

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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