One part of Claire’s job at an environmental awareness organization is to answer the pho to collect donations. T he scatter plot shows the number of hours she worked each week x and the amount of donations in dollars y that the organization collected each week for 10 weeks. The data is the scatter plot suggests a linear association. A lone to model the data is given by y=12x+41

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Answer:

Option B

Step-by-step explanation:

If the larger triangle (Preimage) is dilated by a scale factor 'k' to form the image triangle (small triangle),

Scale factor = \(\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the preimage}}\)

                 k = \(\frac{3}{2.4}\)

Therefore, Option B will be the correct option.

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:-1.38

19/50=.38 in decimal form +(-1) = -1.38

Answer:

uytrfvvhhhhhhhjkklñññññlluuyjnkuyjuyjju

The first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Now,

Find the first five ordered pairs for the sequence as;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Substitute n = 1;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(1) = 2 + 4 (1 - 1)

⇒ a(1) = 2

Substitute n = 2;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(2) = 2 + 4 (2 - 1)

⇒ a(2) = 2 + 4

⇒ a(2) = 6

Substitute n = 3;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(3) = 2 + 4 (3 - 1)

⇒ a(3) = 2 + 4 × 2

⇒ a(3) = 2 + 6

⇒ a (3) = 8

Substitute n = 4;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(4) = 2 + 4 (4 - 1)

⇒ a(4) = 2 + 4 × 3

⇒ a(4) = 2 + 12

⇒ a(4) = 14

Substitute n = 5;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(5) = 2 + 4 (5 - 1)

⇒ a(5) = 2 + 4 × 4

⇒ a(5) = 2 + 16

⇒ a(5) = 18

Thus, All the first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

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Answer:

A) I think.

Step-by-step explanation:

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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By taking the integral of the difference between the two given lines, we will see that R = 0.75.

Notice that the area will be given by the integral of the difference between the line L and our function on the interval [0, 1]

Then we just need to compute:

\(R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx\)

Solving that we will get:

\(R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx = \int\limits^1_0 ({-3x + 10 - 8 + x^3} )dx\\\\\R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\\\\)

\(R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\R = \frac{-3}{2}*(1)^2 + 2*1 + \frac{1^4}{4} = 0.75\)

So the area of region R is 0.75 square units.

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The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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Answer:

x=4, y=16

Step-by-step explanation:

Since y is alone on one side of both equations, that means that the equations are equal.

\(2x+8=3x+4\\\)

Put like terms on the same side of the equations. I put the numbers on the left and the Xs on the right. To do this subtract 4 from both sides. You will get:

\(2x+4=3x\)

Next, I subtracted the 2x from both sides;

\(4=x\)

For y, just substitute the x in the equation with 4. Will work for either equation.

\(y= 3(4)+4\\y= 12+4\\y=16\)

Or

\(y=2x+8\\y=2(4)+8\\y=8+8\\y=16\)

Therefore, y=16

Answer:

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

\(3(5w + 4) < 12w + 15\)

\(15w + 12 < 12w + 15\)

\(3w < 3\)

\(w < 1\)

A is the correct answer.

The expression 3x+11y cannot be factorized.

What is factorization?

To factorise an algebraic statement, we first identify the terms' highest common factors before organising the words in the appropriate way. An algebraic expression's factorization is, to put it simply, the process of expansion in reverse. The same way, as the product of their factors, are the algebraic expressions written in algebra. The only difference is that in an algebraic expression, variables and integers are combined to perform mathematical operations like addition or subtraction.

Here the given expression 3x+11y didn't have any common factors.

The given expression has two variables 3x and 11y and they didn"t have any common terms.

Hence the expression 3x+11y cannot be factored.

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The common difference is 0.1

The common ratio of the given sequence is determined by dividing a term by it's preceding term.

That is:

7/70 or 0.7/7 or 0.07/0.7, ... = 0.1

Answer:

At birth, the baby elephant weighed 175 lbs.

Step-by-step explanation:

Answer:175 pounds

Step-by-step explanation:

Divide 700 by 4

The area that will be painted grey is approximately 38 ft².

The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.

Circumference of a circle = 2πr

30.77 = 2 x 3.14 x r

r = 30.77 / (2 x  3.14) = 4.9 feet

Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.

Area of a circle = π x r²

Area of half the circle = 0.5 x  π x r²

Area of half the circle = 0.5 x 3.14 x 4.9²

Area of half the circle = 37.73 ft²

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Answer:

the answer is 2.4 miles per day

To evaluate the function graphically, we need to plot the two lines on graph and see where they intersect.Then find the value of f(x) at that point.Therefore, f(4) = -4, which matches with the graphical evaluation.

A function is a mathematical rule that maps every input from a set (the domain) to a unique output from another set (the range), where each input has only one corresponding output.

The two lines intersect at the point (2,-4). Therefore, the value of f(x) at x=4 is -4.

To find f(4), we can use the equation of line 1, which is:

y - (-8) = (2 - (-8))/(1 - (-5)) × (x - (-5))

Simplifying, we get:

y + 8 = (10/6) × (x + 5)

y + 8 = (5/3) × (x + 5)

y = (5/3) × x - 19/3

Substituting x=4, we get:

y = (5/3) × 4 - 19/3

y = -4

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Answer:

  -225°, 135°, 495°

Step-by-step explanation:

Adding or subtracting multiples of 360° will give angle values that are coterminal with a given angle.

  -225° -360° = -595° (not on the list)

  -225° +0·360° = -225°

  -225° +360° = 135°

  -225° +2·360° = 495°

Angles -225°, 135°, 495° are coterminal with -225°.

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

179 in^2

Step-by-step explanation:

Given:

A rectangular pyramid

h (side height) = 7,2 in

l (base length) = 8 in

Find: A (surface area) - ?

The surface area is equal to the sum of all sides' areas

First, let's find the area of the base (I assume, this is a square, since nothing else is given):

\(a(base) = {8}^{2} = 64 \: {in}^{2} \)

Now, let's find the lateral surface (4 triangles):

\(a(lateral) = 4 \times \frac{1}{2} \times 8 \times 7.2 = 115.2 \: {in}^{2} \)

Finally, let's add these together and we'll get the total surface area:

\(a(surface) = 64 + 115.2 = 179.2 \: {in}^{2} \)≈179 in^2

Answer:

it's the graph c

Step-by-step explanation:

(0, -2)

(1, 0)

(2, 2)

Answer:

walmart:1645.66 target:2096.07

Step-by-step explanation:

walmart:1538/100 × 107= 1645.66

target:1923/100 × 109= 2096.07

i think this is the ans but im not very sure

Answer:

Step-by-step explanation:

148 people