Which statement best describes 112

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

We have,

To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.

So,

Subtract the flat rate from Chenelle's budget:

Budget after subtracting the flat rate.

= $300 - $19.95

= $280.05

Divide the remaining budget by the cost per mile to find the maximum number of miles:

Maximum miles = Budget after subtracting the flat rate / Cost per mile

= $280.05 / $1.75

Using division.

Maximum miles = 160.028571

Therefore,

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

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Answer:

a x=-6 y=1

Step-by-step explanation:

7x+42y=0

2x-y=－13

Answer:

2/5

Step-by-step explanation:

Use two corresponding sides.

In triangle A, look at the side between 1 mark and 2 marks on the angles. Its length is 10.

In triangle B, look at the side between 1 mark and 2 marks on the angles. Its length is 4.

To find the scale factor from A to B, divide a length in B by its corresponding length is A.

4/10 = 2/5

Answer: The scale factor from A to B is 2/5.

Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.

Recall:

Given the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:

Scale factor of Figure A to Figure B = 10/4 = 5/2

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According to the graph, the value of the constant in the equation below is 2. The correct option is B.

A constant function in mathematics is one whose (output) value is constant regardless of the input value.

We are given the equation for the height.

On the graphic, height, and width are related. By choosing a point, we can find the value of the constant.

To find a constant in a graph, the width is multiplied by height.

(Height)(Width) = Constant.

Multiply any of the coordinate values shown, and you will see the constant is 2.

 3 × 1.5 = 2 × 1 = 8 × 4 = 7 × 3.5 =

we will take only one variable which is 2 x 1 = 2, so the constant is 2

Therefore, the correct option is B, 2.

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Answer:

x = 120°

Step-by-step explanation:

Since it is a triangle we know that there are three angles that add up to 180° for a triangle.

Two angle which are the same is consider an isosocles triangle.

The third angle should add up to 180 with the two same angle.

Thus,

x + 30° + 30°  = 180°

x + 60° = 180°

x = 180° - 60°

x = 120°

Answer:

\(\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}\)

And simplifying we got:

\( a^3 b^2 a b^3\)

\( a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5\)

Step-by-step explanation:

We want to simplify the following expression:

\( \frac{a^3 b^2}{a^{-1} b^{-3}}\)

And we can rewrite this expression using this property for any number a:

\( a^{-1}= \frac{1}{a}\)

And using this property we have:

\(\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}\)

And simplifying we got:

\( a^3 b^2 a b^3\)

\( a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5\)

The length of the hypotenuse is 7m.

Let the side opposite to 30° be the shortest leg.

The side opposite to 60° is the longest leg.

So, the side opposite to 90° is hypotenuse.

Length of the shortest side is x.

Length of longest side is \(\sqrt{3}x\)

Length of the hypotenuse is 2x.

We know x = 7

So, \(\sqrt{3}(x)=\sqrt{3}(7)\)

Thus, the length of the longer leg is \(\sqrt{3}(7)\) m

Length of hypotenuse = 2x = 2(7) = 14m

\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)

Taking square root on both sides:

\(2x = \sqrt{196}\)

2x = 14

x = 7

Therefore, the length of the hypotenuse is 7m.

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Answer: Expected Value = -0.31

We expect to lose about 31 cents each time we play the game.

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

Explanation:

A = event of selecting a king

B = event of not selecting a king

P(A) = 4/52 since there are 4 kings out of 52 total. This fraction reduces to 1/13.

P(B) = 48/52 = 12/13

Note: P(A) + P(B) = 1.

V(A) = net value of selecting a king

V(A) = 100-8 = 92, so you net $92 if event A occurs.

V(B) = -8, meaning you lose 8 dollars if you select anything but a king

We multiply the probability values with their corresponding net values

P(A)*V(A) = (1/13)*(92) = 7.07692 approximately

P(B)*V(B) = (12/13)*(-8) = -7.38462 approximately

Add up the results:

7.07692 + (-7.38462) = -0.3077

The expected value is approximately -0.3077 which rounds to -0.31

We expect to lose on average 31 cents each time we play the game. The nonzero expected value means this is not a mathematically fair game.

Answer:

Step-by-step explanation:

you need the radius and the height. I dont know which is which so i did both

if radius is 2cm and height is 2.5cm the volume is 31.4

If radius is 2.5cm and height is 2cm the volume is 39.3

The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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The answer to the question is (B) 2 30 cm.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

This can be determined by looking at the figure and first noting that AC = DE. This means that the triangles ABC and DEF are congruent. Since the two triangles are congruent, the corresponding sides are equal in length. This means that EB = AD. Since AD = 2 30 cm, EB also must equal 2 30 cm, making the answer (B).

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Answer: x < -18

Step-by-step explanation:

Simply multiply both sides by three to get x < -18

Step-by-step explanation:

x/3 < - 6

x < - 18

This should be the answer

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

The "method is least square" is a least-squares fitting of a simple regression model minimizes the sum of the squares of the perpendicular distances from the data points to the regression line.

The term linear regression refers the predictive method to predict or estimate the values of a dependent quantitative variable denoted by y with the help of other independent variables denoted by x1,x2,x3 by using one of many methods like that of ordinary least squares.

Here we need to find what is the method for a least-squares fitting of a simple regression model minimizes the sum of the squares of the perpendicular distances from the data points to the regression line.

As per the definition of the linear regression, we have know that a least-squares fitting of a simple regression model  which minimizes the sum of the squares of the perpendicular distances from the data points to the regression line.

Here we have to take the square for the number to fit into the given interval.

So, this is known as method for least square and it does not use the sum of perpendicular distances between the points and the ‘estimated regression equation’ does not used to minimize.

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Answer:

The large prism is 5 inches taller than the small prism

Step-by-step explanation:

We know that the formula for volume of a rectangular prism is

V = lwh, where

Step 1:  We're given the volume, length, and width for both rectangular prisms, but not the height.  We can find the height of each rectangular prism by rewriting the volume formula in terms of h (i.e., isolate h), which gives us:

V / (lw) = h

Step 2:  To find the height of the small prism, we plug in 100 for V, 5 for l, and 4 for w in the volume formula (in terms of h) and simplify:

100 / (5 * 4) = h

100 / 20 = h

5 inches = height

Optional Confirmation of Step 2:

We can check that our height is correct by plugging in 5 for h in the regular volume formula, with 100 for V, 5 for l, and 4 for w;

100 = 5 * 4 * 5

100 = 20 * 5

100 = 100

Step 3:  To find the height of the large prism, we plug in 200 for V, 5 for l, and 4 for w in the volume formula (in terms of h) and simplify:

200 / (5 * 4) = h

200 / 20 = h

10 inches = height

Optional Confirmation of Step 3:

We can check that our height is correct by plugging in 5 for h in the regular volume formula, with 200 for V, 5 for l, and 4 for w;

200 = 5 * 4 * 10

200 = 20 * 10

200 = 200

Step 5:  

10 - 5 = 5 inches taller

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

3(-2x+4) =-6x-12  Equation/Question

Step 2

3(-2x+4) =-6x-12  Remove parenthesis

-6x+12=-6x-12

Step 3

-6x+12=-6x-12  Add 6x to sides

12=-12

Step 4

12=-12  Subtract 12 from sides

-24=0

Answer

No solutions

Hope this helps

Answer:

Step-by-step explanation:

Welp, we gotta solve for the solutions

Step 1

3(-2x + 4) = -6x – 12  Simplify

Step 2

3(-2x + 4) = -6x – 12  subtract 12 from the sides

-6x+12-12=-6x-12-12

-6x=-6x-24

Step 3

-6x=-6x-24  add 6x to the sides

-6x+6x=-6x-24+6x

0=-24 ??

Answer

No solution

Answer:

It was a 33% decrease

Step-by-step explanation:

90 minutes - 60 minutes = 30 minutes

30/90= .333333333333

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

Answer: A).  A Blue, then a Red.

     = 4/8 * 1/7

     = 1/14

B). A Red, then a White.

     = 1/7 * 3/8

     = 3/56

C). A Blue, then a Blue, then another Blue.

   = 4/8 * 3/7 * 2/6

   = 1/14

Step-by-step explanation:

had to complete the question first.

Find the following probabilities of Derek drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.

(a) A Blue, then a Red =  

(b) A Red, then a White =  

(c) A Blue, then a Blue, then a Blue =  

given data:

blue marble = 4

white marble = 3

red marble = 1

total marble = 8

solution:

probability of drawing

A).  A Blue, then a Red.

     = 4/8 * 1/7

     = 1/14

B). A Red, then a White.

     = 1/7 * 3/8

     = 3/56

C). A Blue, then a Blue, then another Blue.

   = 4/8 * 3/7 * 2/6

   = 1/14

polygon

quadrilateral

triangle

rectangle

hexagon

hexagon

octagon

square or parallelogram

trapezoid

square

heptagon

decagon

gon, gon, the gons mason, what do the gons mean.

Answer:

Step-by-step explanation:

Plug in 6 for x for g(x) and f(x)

f(6) = 2(6)⁵ = 15,552

g(6) = 10 x 4⁶ = 40,960

15,552 < 40,960

f(6) < g(6)

The confidence interval of the proportion of people who order a burger at the Burger, using a 95% confidence level is; (0.817, 0.879)

A confidence interval is the likelihood of the parameters of a population to be found between a value set within a specified proportion of time.

The confidence interval at the 95% confidence level of a population proportion can be found by using the following formula;

\(\hat p = \pm z^* \cdot \sqrt{\dfrac{\hat {p} \cdot (1 - \hat{p})}{n} }\)

Where:

z = The standard normal distribution value that reflects the 95% confidence level

\(\hat p\) = The proportion of the sample that ordered burger

n = The size of the sample in the survey

The z-score at the 95% confidence level is about 1.96

\(\hat {p} = \dfrac{424}{500} =0.848\)

Plugging in the values of z, \(\hat{p}\), and n, the  confidence interval is therefore;

\(0.848 \pm 1.96 \times \sqrt{\dfrac{0.848\times (1 - 0.848)}{600} }\)

Resolving the ± into plus and minus, we get;

\(0.848 + 1.96 \times \sqrt{\dfrac{0.848\times (1 - 0.848)}{600} } \approx 0.879\)

\(0.848 - 1.96 \times \sqrt{\dfrac{0.848\times (1 - 0.848)}{600} } \approx 0.817\)

The confidence interval at 95% confidence level from the above values is therefore;

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The output value of f( -3 ) in the function f(x) = x³ + 3x + 17 is -19.

Given the function in the question:

f(x) = x³ + 3x + 17

To evaluate f(-3) for the function f(x) = x³ + 3x + 17, we simply substitute -3 for x in the expression and calculate the result.

f(x) = x³ + 3x + 17

Plug in x = -3

f(-3) = (-3)³ + 3(-3) + 17

First, let's calculate (-3)³, which means raising -3 to the power of 3:

(-3)³ = -3 × -3 × -3 = -27

Next, let's calculate 3(-3):

3(-3) = -9

Now, we can substitute these values into the expression:

f(-3) = -27 + (-9) + 17

Simplifying further:

f(-3) = -27 - 9 + 17

f(-3) = -36 + 17

f(-3) = -19

Therefore, the output value of f(-3) is -19.

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a) The standard deviation is \(\sigma =\sqrt(2.482)\) = 1.575.

b) The probability that the first digit is higher than the mean is 0.301.

c) The probability that the first digit is higher than the mean is 0.301.

d) The probability that the first digit is within one standard deviation of the mean is 0.368.

Bedford's law, also known as the law of anomalous numbers or the first-digit law, is an empirical law that describes the frequency distribution of the first digits of many types of numerical data sets. It states that the first digit of a number in a large data set is likely to be small, with the probability of it being a certain digit decreasing as the digit increases. Specifically, Bedford's law gives the probability distribution of the first digit X of a randomly chosen number in a dataset, where X can be any digit from 1 to 9 but cannot be 0.

a) To calculate the mean, we need to find the expected value of the first digit using Bedford's law:

μ = Σi=1 to 9 \(P_i \times i\)= \(0.301 \times 1 + 0.176 \times 2 + 0.125 \times 3 + 0.097 \times 4 + 0.079 \times 5 + 0.067 \times 6 + 0.058 \times 7 + 0.051 \times 8 + 0.046 \times 9 = 4.584.\)

Therefore, the mean first digit is 4.584.

b) To calculate the standard deviation, we first need to find the variance:

\(\sigma^2\)= Σi=1 to 9 \(P_i \times (i - \mu)^2\) = \(0.301 \times (1 - 4.584)^2 + 0.176 \times (2 - 4.584)^2 + 0.125 \times (3 - 4.584)^2 + 0.097 \times (4 - 4.584)^2 + 0.079 \times (5 - 4.584)^2 + 0.067 \times (6 - 4.584)^2 + 0.058 \times (7 - 4.584)^2 + 0.051 \times (8 - 4.584)^2 + 0.046 \times (9 - 4.584)^2 = 2.482.\)

Therefore, the standard deviation is \(\sigma = \sqrt(2.482) = 1.575.\)

c) To calculate the probability that the first digit for a randomly chosen record is higher than the mean, we need to sum the probabilities of the digits 5 to 9:

P(X > 4.584) = Σi=5 to 9 Pi = 0.079 + 0.067 + 0.058 + 0.051 + 0.046 = 0.301.

Therefore, the probability that the first digit is higher than the mean is 0.301.

d) To calculate the probability that the first digit is within one standard deviation of the mean, we need to find the probabilities of the digits that are one standard deviation away from the mean:

P(3.009 ≤ X ≤ 6.159) = Σi=3 to 6 Pi = 0.125 + 0.097 + 0.079 + 0.067 = 0.368.

Therefore, the probability that the first digit is within one standard deviation of the mean is 0.368.

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Answer:

Step-by-step explanation:

26.43

(26)

Answer: Your sample size must be 57 .

Step-by-step explanation:

The degrees of freedom(df) require to calculate the correlation coefficient is N-2, where N is the sample size.

If Degrees of freedom(df)  is given as 55, then

N-2 =55

Add 2 on both sides , we get

N= 55+2=57

Therefore , the required sample size = 57

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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