calculate the distance between two points a(-9,-10) and b(0,-10)

The probability that the phone calls would differ from the population proportion by more than 3% is 0

From the question, the given parameters about the distribution are

The mean is calculated as

Mean = np

So, we have

Mean = 8% * 494 = 39.52

The standard deviation is calculated as

Standard deviation = √np(1 - p)

So, we have

Standard deviation = √494 * 8% (1 - 8%) = 0.77

The z-score is calculated using the following formula

[tex]z = \frac{\bar p - p}{\sqrt{p(1 - p)}/n}[/tex]

Substitute the given parameters in the above equation

[tex]z = \frac{8\% - 3\%}{\sqrt{8\% * (1 - 8\%)}/494}[/tex]

Evaluate

z = 90.9

The probability is then calculated as:

P(x > 3%) = P(z > 90.9)

From the z table of probabilities, we have;

P(x > 3%) = 0

Hence, the probability is 0

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Answer:0.3125

Step-by-step explanation:

none sry

The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.

A decagon simony means a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.

Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.

Therefore,

1440 - 1220 = 220

Let the angles be a, b and c.

Therefore,

a + b + c  =220

a + b = 90

b + c = 180

Hence,

a = 220 - 180

a = 40°

b = 90 - 40

b = 50°

c = 180 - 50

c = 130°

The angles are 40°, 50° and 130°.

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[tex]C=3\times 10^8~\frac{m}{s}\hspace{5em}R=80000\implies R=8\times 10^4 \\\\[-0.35em] ~\dotfill\\\\ R=\cfrac{CT}{2}\implies 2R=CT\implies \cfrac{2R}{C}=T\implies \cfrac{2(8\times 10^4)}{3\times 10^8}=T \\\\\\ \cfrac{16\times 10^4}{3\times 10^8}=T \implies \cfrac{16}{3}\times\cfrac{10^4}{10^8}=T\implies \cfrac{16}{3}\times\cfrac{1}{10^8\cdot 10^{-4}}=T \\\\\\ \cfrac{16}{3}\times\cfrac{1}{10^{8-4}}=T \implies \cfrac{16}{3\times 10^4}=T\implies \cfrac{16}{30000}=T\implies \cfrac{1}{1875}=T[/tex]

The percentage increase in Hayley's fuel bills from 2021 to 2022 is equal to 17.105%.

What is a Percentage Increase?

The phrase "percentage increase" (or "percentage change" in general) refers to the difference between the final and starting values of a quantity, expressed as a percentage of that number's original value.

Steps to Calculate Percentage Increase?

Here, in the question, it is given that,

The original amount (X) or the fuel bill in 2021 is £76.

The new amount (Y) or the fuel bill in 2022 is £89.

So, the Increase (I) in the fuel bills from 2021 and 2022 is calculated as,

[tex]I=Y-X\\\implies I=89-76\\\implies I=13[/tex]

Now, we can calculate the percentage increase in fuel bills from 2021 to 2022 as,

[tex]\%I=\frac{I}{X} \times 100\\\implies \%I=\frac{13}{76} \times 100\\\implies \%I=17.105\%[/tex]

Therefore, the percentage increase in Hayley's fuel bills from 2021 to 2022 is 17.105%.

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Answer: y=2x+8

Step-by-step explanation:

you take the reverse of the slope being 2 including the negative.

The grams of fat that are contained in one serving of the low-fat yogurt are: 3.7968g.

To obtain the number of grams of fat that is contained in one serving of the low-fat yogurt, we need to first note the percentage content of the low-fat version of yogurt.

100 - 45.75% = 54.25% or 0.5425

Since one serving of the yogurt contains 7g of fat, then the low-fat serving will be equal to:

7g × 0.5425  = 3.7968

So, the total gram of fat for one serving of the low-fat yogurt is equal to:

3.7968g

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The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = 3

y-intercept = 10

The equation of a line is given as y = mx + c

m = slope

c = y-intercept

Now,

m = 3

c = 10

So,

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

Thus,

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

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You owe on the loan is $64512.90

Given,

In the question:

You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years.

To find the how much do you owe on the loan when it comes out of forbearance?

Now, According to the question:

Based on the given conditions,

Formulate;

You owe $46,212.35 on a student

Interest is 6.9%

46212.35 x (6.9% +1)^5

Evaluate the equation/expression:

64512.90

Hence, You owe on the loan is $64512.90

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The value of x in the equation -4x = 76 is 19.

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

-4x = 76,

-x = 76 / 4,

x = -19

Therefore, the value of x in the equation -4x = 76 is 19.

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Answer: 10 squares

Step-by-step explanation:

The answer for the area is 10 squares but I’m not sure that’s what they’re asking for.

Answer:

The limit does not exist

Step-by-step explanation:

This is because the left hand limit is 3,we know this because as the graph approaches from the left side of the Cartesian plan the open dot is on 3

and the right hand limit is 1 because as the graph approaches the X=1 from the right hand side the open dot lands on 1

Since the left hand limit doesn't equal to right hand limit,the overall limit of x=1 doesn't exist.

a) The null and alternative hypothesis are given as follows:

b) The errors are given as follows:

c) The conclusion of a rejected null hypothesis is: There is enough evidence that most adults would erase their data if they could.

d) The conclusion of a not rejected null hypothesis is: There is not enough evidence that most adults would erase their data if they could.

At the null hypothesis, it is tested if there is not enough evidence that most adults would erase all of their personal data online if they could, that is, if the proportion is not greater than 50%, hence:

[tex]H_0: p \leq 0.5[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that they would erase the information, that is, if the proportion is greater than 50%, hence:

[tex]H_1: p > 0.5[/tex]

A rejected null hypothesis means that the alternative hypothesis is accepted, that is, there is enough evidence that most adults would erase their data if they could.

A not rejected null hypothesis, conversely, means that there is not enough evidence that most adults would erase their data if they could.

Type I errors are when a true null hypothesis is rejected. Hence, the context of this problem, it would mean a sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.

Type II errors are when a false null hypothesis is not rejected. Hence, the context of this problem, it would mean a sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.

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Answer:

1st Graph : Function

2nd Graph : Not a Function

Step-by-step explanation:

For the 1st Graph , any Vertical Line will not pass the Graph in more than one Point , So it represents a Function

For the 2nd Graph , many Vertical Line will pass the Graph in two Points , So it is not a Function

The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

Given,

In the question:

To see the figure:

To select the values that makes the inequality  s ≤ 4 true.

Number table are given in figure.

To see the figure and analysis.

Now, According to the question;

To make the inequality s ≤ 4 true.

The selected value must be less than 4 {Properties of Inequality}

The values are sorted from small to large:

So, The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

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The number of quarts in 12 L is 12.684 qt.

Given that, 12 L to qt.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here,

There are 1.057 quarts in a liter, and there are 0.946 liters in a quart.

Now, 12 L=12×1.057

= 12.684 qt

Therefore, the number of quarts in 12 L is 12.684 qt.

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By using the concept of linear inequation, the required solution is

[tex]x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here the given linear inequation is

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7[/tex]

Now

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5} x > 7 + 3\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5}x > 10\\\\x > \frac{5}{3} \ or \ x < \frac{10 \times 5}{-3}\\\\x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

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The total cost for the appliances plus interest is 4330.

What is an interest rate?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.

Here, we

Cost of the appliance = $3725

Neema paid $700 so amount financed = $3725 - $700 = $3025

Interest rate on the loan = 3025*0.05*4 = $605

Total cost of the appliance = $3725 + 605 = $4330

Hence, the total cost for the appliances plus interest is 4330.

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The quarterly interest rate is equal to 2.25%. This implies that Gavin is correct.

Mathematically, the compound interest on an investment can be calculated by using this formula:A(t) = P(1 + r/n)^{nt}

Where:A represents the future value.

r represents the interest rate.

n represents the number of times compounded.

P represents the principal.

T represents the time measured in years.

In this scenario, Gavin's savings account is compounded annually at an interest rate of 9%. This ultimately implies that, the equivalent quarterly interest rate would be calculated by dividing the annual interest rate of 9% by 4 as follows:

Quarterly interest rate = 9/4

Quarterly interest rate = 2.25%

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The measure of the angle 'x' will be 41°. Then the correct option is c.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The measure of the angles will be 76° and 63°.

By the property Supplementary angle, the equation is given as,

76° + x + 63° = 180°

Simplify the equation, then we have

x + 139° = 180°

x = 180° - 139°

x = 41°

The measure of the angle 'x' will be 41°. Then the correct option is c.

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The given triangle is rotated about 180 degrees and as such, we can say that the triangle CBF is congruent to the triangle EDF.

From the attached image, we see that CB is parallel to ED. We also see that the transversal lines are  BD and CE.

The point E will become the image of point C by a rotation of 180° around the point F.

Now, the point D will be the image of point B by a rotation of 180° around the point F.

Rotation is a type of transformation and as such  ΔEDF will be the image of  ΔCBF.

Therefore we can conclude that ΔCBF ≅ ΔEDF

The second way to prove this congruency is as follows;

∠B = ∠D  (Due to the fact that alternate angles are congruent)

∠C = ∠E  (Due to the fact that alternate angles are congruent)

Now, since CB ≅ ED , then it means that ΔCBF ≅ ΔEDF by SAS congruency postulate

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Answer:

bla blablablablabla

Step-by-step explanation:

blablablablablabla

Answer:

Step-by-step explanation:

I

The expression r - 5√r+r² is a polynomial.

Mathematical expressions called polynomials have one variable and many exponents.

The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.

No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.

Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.

Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.

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The expression r-5√r+r² is a polynomial. A polynomial is made up of variables, constants, and exponents.

Polynomials are mathematical expressions with one variable and several exponents.

The algebraic expression is a polynomial if and only if all of its exponents are non-negative integers. In general, if an algebraic expression contains a radical, it isn't a polynomial.

An algebraic expression should not contain any square roots of variables. fractional powers that are changeable. variable powers with negative powers. variables in the denominator of any fraction.

A polynomial is made up of variables, constants, and exponents. A polynomial's name is determined by the number of terms it contains.

There are numerous types of polynomials. respectively a monomial, a binomial, and a trinomial.

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Using the simplification, Manuel buy 15 stamps of 25 cents and 5 stamps of 30 cent.

In the given question,

Manuel wishes to purchase 25 cent and 30 cent stamps.

He decides to buy 10 fewer 30 cent stamps.

We have to find how many of each can he buy for no more than $19.00.

Let he buy x stamps of 25 cent.

He want to buy 10 fewer 30 cent stamps.

So he buy x−10 stamps of 30 cent.

But he have to buy total stamps of $19.

So the equation is

x+x−10 = 19

Simplifying

2x−10=19

Add 10 on both side

2x−10+10=19+10

2x=29

Divide by 2 on both side

2/2 x =29/2

x=14.5

x≈15

Hence, he buy 15 stamps of 25 cent.

Now finding the number of 30 cent.

he buy x−10 stamps of 30 cent.

So 15−10=5.

So he buy 5 stamps of 30 cent.

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The only equation given that represents the Exponent Property of Logs is; Option A: log(A^r) = r*log(A)

The  exponent property of logarithm says that the log of a power is the exponent times the logarithm of the base of the power. For example;

logₐ(MN) = logₐM + logₐN

logₐ(M/N) = logₐM - logₐN

logₐ(3²) = 2logₐ3

The first example above shows the product rule of logarithms

The second example shows the quotient rule of logarithms

The third rule shows the power rule

Now, looking at the options, the only one that shows the correct pattern of exponent property of logarithm is;

Option A: log(A^r) = r*log(A)

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The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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