Ellie just got her first cell phone plan. She pays $79 per month plus $150 activation fee. Write the equation to represent the situation​

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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Answer:

Option (C)

Step-by-step explanation:

From the picture attached,

Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.

By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.

∠8 ≅ ∠11 [Alternate interior angles]

m(∠8) = m(∠11) = 118°

Therefore, Option (C) will be the answer.

The theorem or postulate that justifies your answer is Alternate Interior Angles Theorem. Option C is correct.

From the given diagram, we are given that m<11 = 118 degrees

To get the measure of angle m<8, we will use the following postulates;

The angle 11 and angle m<12 are supplementary, hence;

m<11 + m<12 = 180

118 + m<12 = 180

m<12 = 180 - 118

m<12 = 62 degrees

The measure of the angle m<11 is also equal to m<8 according to the alternate interior angle theorem. Hence;

m<8 = m<11 = 118 degrees (Alternate Interior Angles Theorem)

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Answer:

13.6

Step-by-step explanation:

\(a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6\)

The words savage and savory are neither similar nor contradictory.

Contradiction is a term used to indicate mutually opposite things. It is commonly used in statements where both the statements cannot be true.

Savage is a word the meaning of which is wild or non cultivated in a context as an adjective. In another context, savage can be used as a noun to define an uncivilized or a brutal human.

On the other hand, savory is a completely different term which is used to define the taste of the dishes, typically in a positive way.

Hence the terms savage and savory are neither similar nor contradictory words.

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To predict the number of times Xavier selects a green or yellow ball, we need to calculate the probability of selecting a green or yellow ball in one trial and then multiply that by the total number of trials (1,200).

The probability of selecting a green ball in one trial is 17/50 and the probability of selecting a yellow ball in one trial is 13/50.

Therefore, the probability of selecting a green or yellow ball in one trial is (17/50) + (13/50) = 30/50.

To find the expected number of times Xavier selects a green or yellow ball,

we multiply the probability of selecting a green or yellow ball in one trial (30/50) by the total number of trials (1,200):

(30/50) x 1,200 = 720

Therefore, we can predict that Xavier will select a green or yellow ball approximately 720 times out of 1,200 trials.

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Answer:

25%

Step-by-step explanation:

profit percentage = (profit/cost price) * 100

selling price = 600

profit = 600 * 20/100 = 120

cost price = 600-120 =480

profit percentage = (120/480) * 100 = 25

The perimeter of the triangle = 25.8 units.

Perimeter = the sum of the length of all three sides

Given:

N(-4,3)

O(-4,-3)

P(5,3)

Perimeter of triangle NOP = NO + OP + NP

Find NO:

NO = |3 - (-3)| = 6 units

Find NP:

NP = |-4 - 5| = 9 units

Using the distance formula, find OP:

OP = 10.8 units

Therefore, Perimeter of the triangle = 10.8 + 9 + 6 = 25.8 units.

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Answer:

The Slope Is 2/3

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

A

Step-by-step explanation:

Point slope is y-y1 = slope (x -x1)

Plug in the point you're given and you get

y + 7 = -3 (x - 5)

Hopefully this helps- let me know if you have any questions

Answer:

A. y + 7 = - 3 (x - 5)

Step-by-step explanation:

Given point is (5, - 7)

Slope of line (m) = - 3

Equation of line in point slope form is given as:

y - (-7) = - 3(x - 5)

y + 7 = - 3 (x - 5)

Answer:

28

Step-by-step explanation:

Yep

Answer:

28 is the correct answer

b = sec-1(1/2).

The exact solutions to square root 3 sec(b) - 2 = 0 can be found by solving the equation for b. First, subtract 2 from both sides of the equation:  square root 3 sec(b) = 2.

Then divide both sides by square root 3 sec(b):  1 = 2 / (square root 3 sec(b)). Finally, take the inverse secant of both sides to get b = sec-1(1/2).

Thus, the exact solutions to square root 3 sec(b) - 2 = 0 are b = sec-1(1/2).

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Step-by-step explanation:

65 * (3/5) = 39

Jeremy can expect to make 39 shots.

Answer:

everything but 4 and 31!

Step-by-step explanation:

24: 9+9+1+1+1+3

29: 9+5+5+1+1+3

56: 9×6

Mary's HLV is $2,215,773.95.

Mary's HLV if she works until 70 is $1,611,008.23.

Mary's COE if she works until 75 is $5,130,372.40.

Mary's COE if she works until 70 is $2,985,308.60.

To calculate the Human Life Value insurance (HLV) of Mary, we need to determine the present value of her future income stream.

Annual after-tax earnings = $55,000 x (1 - 0.15) = $46,750

Total after-tax earnings over working life = $46,750 x (1 + 0.03)^(75-35) = $3,382,820.33

Total personal consumption = 27% x $3,382,820.33 = $914,073.89

Calculate Mary's HLV:

= $3,382,820.33 - (1 + 0.05)^(-1) x $914,073.89

= $2,215,773.95

Therefore, Mary's HLV is $2,215,773.95.

If Mary works until 70 total after-tax  = $46,750 x (1 + 0.03)^(70-35) = $2,124,182.09

Mary's HLV if she works until 70 is $1,611,008.23.

To calculate the Capitalization of Earnings (COE) method. Here's how we can calculate it:

Calculate Mary's expected earnings in her final year of work:

Expected earnings in final year = $55,000 x (1 + 0.03)^(75-35) = $256,518.62

Apply a capitalization rate to the expected earnings:

COE = expected earnings in final year / capitalization rate

= $256,518.62 / 0.05

= $5,130,372.40

Therefore, Mary's COE if she works until 75 is $5,130,372.40.

If Mary works until 70, her expected earnings in her final year of work would be:

Expected earnings in final year = $55,000 x (1 + 0.03)^(70-35) = $149,265.43

Mary's COE if she works until 70 is $2,985,308.60.

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Answer:

Step-by-step explanation:

The sum of a triangle’s angles is always 180 degrees.

x+x+2+38=180

2x+40=180

2x=140

x=70

C=x+2

C=70+2

C=72 degrees

Answer: No

Step-by-step explanation:

No, because it does not add the same value every time

Answer:

No

Step-by-step explanation:

The left side does add up the same each time (+1) but the right side does not as it adds +2 +2 +4 +8 +16

Part (a)

BC = opposite side (furthest leg from the reference angle)

AB = adjacent side (closest leg from the reference angle)

AC = hypotenuse (always opposite the 90 degree angle)

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

Part (b)

i. False. Angle B is 90 degrees as shown by the square angle marker.

ii. False. Side AB is opposite angle C. Note how "C" is part of "BC", so that means we cannot have BC be opposite C.

iii. True. Leg AB is the closer leg to angle A. We have "A" in "AB" to see this without having to draw the diagram. Refer to part (a) above.

iv. False. The longest side of any right triangle is always the hypotenuse. The longest side of any triangle is always opposite the largest angle.

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

Part (c)

cos(theta) = adjacent/hypotenuse = AB/AC

tan(theta) = opposite/adjacent = BC/AB

Refer back to part (a) to determine the opposite,adjacent and hypotenuse side lengths.

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

Part (d)

The reference angle has changed, so the opposite and adjacent sides swap. The hypotenuse remains the same regardless of what reference angle you pick.

sin(C) = opposite/hypotenuse = AB/AC

cos(C) = adjacent/hypotenuse = BC/AC

tan(C) = opposite/adjacent = AB/BC

Note the tangent ratio is the reciprocal of what we found back in part (c).

Answer & Step-by-step explanation:

(a)

The hypotenuse is on line CA (the hypotenuse is always opposite the 90° angle (marked by a little square))

The adjacent is on the line BA (adjacent is next to the given angle, but NOT the hypotenuse)

The opposite is on the line CB (this is opposite the given angle)

(b)

i.   false (b is a right angle)

ii.  false (the side opposite C is BA)

iii. true

iv. false (the side opposite B is the hypotenuse, and the hypotenuse is always the longest side in a triangle)

(c)

cosine ratio: \(cos=\frac{adjacent}{hypotenuse}\)

tangent ratio: \(tan=\frac{opposite}{adjacent}\)

The cosine and tangent ratios of the given angle:

\(cos0=\frac{AB}{CA} \\\\tan0=\frac{CB}{AB}\)

(d)

Remember SOH-CAH-TOA:

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

Using the angle C, plug in the appropriate sides:

\(sinC=\frac{BA}{CA}\\\\ cosC=\frac{CB}{CA}\\\\ tanC=\frac{BA}{CB}\)

:Done

Answer:

4125 miles, 275 mi/hr

Step-by-step explanation:

Divide 550/2 to get the jet's rate in miles per hour.

550mi/2hr = 275 mi/hr

We can multiply the rate by 15 hours to find out how far the jet could fly in that time.

275 mi/hr * 15 hr = 4125 mi

The questions created to answer the problem is Lanre borrowed a sum of ₹120 from bank at the rate of 12% per annum

And the exponential function is f(x) = 120 * (1.12)ˣ

We start by creating the required question that will be used in answering this problem

The question is stated as follows

Lanre borrowed a sum of ₹120 from bank at the rate of 12% per annum

From the question above, we have the following:

Inital amount, a = 1200

Rate of increase, r = 12%

Using the above as a guide, we have the following:

The exponential function of the situation is

f(x) = a * (1 + r)ˣ

So, we have the following representation

f(x) = 120 * (1 + 12%)ˣ

This gives

(a) f(x) = 120 * (1.12)ˣ

(b) The graph is attached

(c) The initial value is 120

(d) The rate of change is 12%

Hence, the function is f(x) = 120 * (1.12)ˣ

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Answer:

No

Step-by-step explanation:

Put x = 2 into both equations:

For x- 10 = 2-10 = 8 (Not  > 8)

For -0.5x-4 = -0.5*2-4 = -5 (Not < -8)

Hence, the answer is no.

Answer:

can i see the question then ill solve it?

Step-by-step explanation:

"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.

To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.

The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.

Carla paid $19.00 for the pizza.Setting up the equation, we have:

10.25 + 1.25t = 19.00

Subtracting 10.25 from both sides:

1.25t = 8.75

Dividing both sides by 1.25:

t = 7.

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Answer:

9 u ^2

Step-by-step explanation:

Answer:

9u

Step-by-step explanation:

Greatest common factor for 63\(u^{5}\), 45\(u^{4}\), and 27u.

We can all divide them by 9, and that is the furthest we can get.

For the variables, the furthest we can get is u.

In conclusion, the greatest common factor for 63\(u^{5}\), 45\(u^{4}\), and 27u is 9u.

The concentration of the resulting sodium chloride solution is 12.431 g/L (or 12.4 g/L when rounded to one decimal place).

To calculate the concentration, we first need to determine the mass of sodium chloride in the solution. The mass of the weighing boat was found to be 0.5132 g. After adding sodium chloride, the combined mass of the weighing boat and sodium chloride was measured to be 1.7563 g. Therefore, the mass of sodium chloride in the solution is the difference between these two measurements:

Mass of sodium chloride = 1.7563 g - 0.5132 g = 1.2431 g

Next, we need to convert this mass to grams per liter (g/L). The solution was prepared in a 100 mL volumetric flask, which means the concentration needs to be expressed in terms of grams per 100 mL. To convert to grams per liter, we can use the following conversion factor:

1 g/L = 10 g/100 mL

Applying this conversion, we find:

Concentration of sodium chloride = (1.2431 g / 100 mL) * (10 g / 1 L) = 12.431 g/L

Rounding to one decimal place, the concentration of the resulting sodium chloride solution is 12.4 g/L.

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Answer:

wcw

Step-by-step explanation:

cw

Answer:

x=-2

Step-by-step explanation:

11=-4x+3

8=-4x

8/-4=-4x/-4

-2=x

7.85

explanation

you multiply the two numbers together

Answer:

$7.85

Step-by-step explanation:

To solve this problem, we can use the cancelling of units.

cost = $3.14/1 lb * 2.5 lb

The pounds cancel out leaving dollars so you get cost = $3.14 * 2.5

so cost = $7.85.

Given:

The area model.

To find:

The area as a sum and area as a product.

Solution:

The four terms of the area model are \(2x^2,10x, 3x, 15\).

The area as a sum is the sum of all the terms of given area model.

Area as a sum = \(2x^2+10x+3x+15\)

                        = \(2x^2+13x+15\)

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product = \(2x^2+10x+3x+15\)

                        = \(2x(x+5)+3(x+5)\)

                        = \((x+5)(2x+3)\)

Therefore, the area as a sum is \(2x^2+13x+15\) and the area as a product is \((x+5)(2x+3)\).

Answer:

3x = 3 + 2y -------------> 3x - 2y = 3 {subtracted 2y from each side of top equation}

(-4/3)x + y = -2/3 ------> -4x + 3y = -2 {multiplied bottom equation by 3}

3x - 2y = 3 ------> 12x - 8y = 12 {multiplied top equation by 4}

-4x + 3y = -2-----> -12x + 9y = -6 {multiplied bottom equation by 3}

12x - 8y = 12

-12x + 9y = -6

--------------

y = 6 {added the two equations}

3x = 3 + 2y {original top equation}

3x = 3 + 2(6) {substituted 6, in for y, into top equation}

3x = 3 + 12 {multiplied}

3x = 15 {added}

x = 5 {divided each side by 3}

x = 5 and y = 6

Step-by-step explanation:

Answer:

x= 0

y= -1

Step-by-step explanation:

Hope this helps.