What is the percent change in the price of a gallon of gas, to the nearest whole percent?

Was $3.499 Now $3.079

Answer:

t = 1.399<1.710 ( from tabulated value)

we will accepted the null hypothesis

the marketing manager decides to carry out a test of hypothesis

H 0 : μ = 13.50

Step-by-step explanation:

Step1 :-

Given sample size 'n' = 25 customers

The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch.

therefore the population mean 'μ' = $13.50

A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be ¯ x = $ 14.50

sample mean ¯ x = $ 14.50

the restaurant informs the marketing manager that the standard deviation is σ = $ 3.50

Population standard deviation σ = $ 3.50

Step 2:-

we will use' t' test because of given small sample size is n=25

Null hypothesis: H₀ : μ= $ 13.50

Alternative hypothesis :H₁:μ ≠ $ 13.50

Degrees of freedom γ = n-1 = 25-1 =24

The test statistic 't' is

substitute all values , we get

t = 1.399

This is calculated value  t = 1.399

The tabulated value of t are 5% level with 24 degrees of freedom

t = 1.710

Step 3:-

t = 1.399<1.710

Since calculated value < The tabulated value of t are 5% level with 24 degrees of freedom.

we will accepted the null hypothesis

the marketing manager decides to carry out a test of hypothesis

Under b. reflected in the origin  B(-4, -6) would be B'(4, 6).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Point B(-4, - 6) is given lies on the third quadrant.

Now, If we reflect along y = x it would be (- 6, - 4).

But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).

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Answer:

[tex]\frac{8}{6}=1\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{2}-2\frac{1}{6}[/tex]  Fractions cannot be added or subtracted unless they have the same denominator (bottom number)

[tex]\frac{7}{2}-\frac{13}{6}[/tex]     Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])

[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex]   In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction  top and bottom by 3.

[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex]   This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.

[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex]   [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]

Answer: 9.625 cups..

Answer:

The answer is "[tex]\frac{1}{47}[/tex]".

Step-by-step explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.  

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

[tex]= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= \frac{1}{47}[/tex]

Thus, [tex]\frac{1}{47}[/tex] here is the necessary chance.

Answer:

1/47

Step-by-step explanation:

52 cards

5 red

probability= last card ace of spades

First do, 52-5, which gives you 47, and last card ace of spades, is 1, so 1/47 is the answer

1/47!

Answer:

A

Step-by-step explanation:

Answer:d

D. 9 and 46/180

Step-by-step explanation:

Answer:

Ok thank you for your efforts

Step-by-step explanation:

The answer is D 9 46/180

Answer:

Slope=2.

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where

X1,y1,=(-5, -11) X2,y2=(6,11).

Slope=-11-11/-5-6

=-22/-11

=22/11

=2

Slope is 2

Answer:

2

Step-by-step explanation:

Here,

x₁ = (- 5) and x₂ = 6

y₁ = (- 11) and y₂ = 11

Now,

Slope

= y₁ - y₂ ÷ x₁ - x₂

= (- 11) - ( 11) ÷ (- 5) - ( 6 )

= - 11 - 11 ÷ - 5 - 6

= - 22 ÷ - 11

= 2 ÷ 1 = 2

Thus, Slope is 2

-TheUnknownScientist

Answer:

The sum of the squared deviations explained by the regression model is:

c. 48 mmol/L

Step-by-step explanation:

Average baseline triglyceride levels among 920 people = 0.926 mmol/L

Total sum of squared deviations, approximately = 160 mmol/L

Linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared = 0.30

Therefore, the sum of the squared deviations explained by the regression model = 160 * 0.30 = 48 mmol/L

Answer:

Hello! I'll help, but where is the question?

Step-by-step explanation:

Answer:

what do you need help with?????

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

Therefore, log1/4 is -0.60

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Answer:

(6)(3)-5

Step-by-step explanation:

Answer:

A :   35 + 5n ≥ 90, so n ≥ 11

Step-by-step explanation:

Just took the assesment!

Answer:

42 sea otters per mi2

Step-by-step explanation:

Answer:

#5 = $676.40

#6 = $522.50

Step-by-step explanation:

Lets start with number 5.

Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week

Now for number 6

He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:

Solve for his pay on a normal week:

11 * 40 = 440 a week on a normal week

Find out how much overtime

45-40 = 5 hours

Calculate the pay for the overtime

(11*1.5) x 5 =

16.50 x 5 = 82.5

Add the two pays together

440 + 82.50 = $522.50

also #4 is not provided to me to solve so if you want it solved update this question to include it

Hope this helps :)

Answer:

One number is 43 and the other is -29

Step-by-step explanation:

If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers

Answer:

2 and 2/5

Step-by-step explanation:

Trust me on this, also can I have brainlest please? Hope you do well!

2 and two fifths i took the test 6 years ago

Answer:

the student read for 36 minutes

Step-by-step explanation:

so for each night minutes read is going to represent the minutes read and y is going to represent the pages read. This means that 18 should be substituted in for y.

18=1/2x

so to solve you are going to divide both sides by 1/2

36=x

Answer:

The concession stand sold 46 hot dogs and 32 hamburgers.

Step-by-step explanation:

The first thing to do in algebraic problems is assign variables to things we don't know, so let's start there:

We don't know how many hot dogs the concession stand sold, so we will call that number d.

We don't know how many hamburgers the concession stand sold, so we will call that number h.

Now we translate the statements into algebraic equations:

The number of hot dogs and hamburgers that were sold is 78, so d+h=78.

If each hot dog is sold for 1.25, then the total revenue from hot dogs is given by 1.25d. In the same way, the total revenue from hamburgers is 1.50h. The total revenue from both hot dogs and hamburgers should be the sum of these, and since we are told the total revenue is 105.50, we can say 1.25d+1.5h=105.5.

We now have a system of two linear equations:

d+h=78

1.25d+1.5h=105.5

We can solve it using several methods, though I'm going to go with substitution. Use the first equation to solve for d:

d+h=78

→d=78−h

Now plug this in for d in the second equation:

1.25d+1.5h=105.5

→1.25(78−h)+1.5h=105.5

Solving for h, we have:

97.5−1.25h+1.5h=105.5

0.25h=8

h=8.25→h=32

Since h+d=78,

32+d=78→d=46

The concession stand therefore sold 46 hot dogs and 32 hamburgers.

From the given situation the cost of each hot dogs is $2 and the cost of each hamburgers is $3.

For the given situation we need to find a system of equations.

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

Let the cost of hot dogs be x and the cost of hamburgers be y.

At a football game, 84 hot dogs and 36 hamburgers were sold for $276 =

84x+36y=276

⇒ 21x+9y=69 ..........(1)

At another football game, 60 hotdogs and 18 hamburgers were sold for $174 = 60x+18y=174

⇒ 10x+3y=29 ..........(2)

Multiply equation (2) by 3, that is 30x+9y=87 ..........(3)

Subtract equation (3) and (1)

That is, 30x+9y-(21x+9y)=87-69

9x=18

⇒ x=2

Put x=2 in equation (1), we get 21(2)+9y=69

⇒ 42+9y=69

⇒ 9y=27

⇒ y=3

Therefore, from the given situation the cost of each hot dogs is $2 and the cost of each hamburgers is $3.

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Answer:

any equation that include y = -2x

Step-by-step explanation:

if the equation has something like y = -2x + 4 or y = -5 - 2x is parallel

parallel lines have the same slope, the y intercept is not really important

Answer:

r = 11.623cm (aprox)

n = 6.153cm (aprox)

Step-by-step explanation:

Proportions:

9.8 ⇔ 4.3

n ⇔ 2.7

r ⇔ 5.1

n = 9.8*2.7/4.3 = 6.153 (aprox)

r = 9.8*5.1/4.3

r = 11.623 (aprox)

Answer: One group made up  of 12 can each have 50.=600

the second group of 30 can each have 20=600

third group made of 15 can each have 40=600

Step-by-step explanation:

Answer:

not sure if this is correct, but...

you could do 12 groups of 50

or 14 groups of 60

orrr 20 groups of 30

Answer:

The year is  [tex]b = 1995[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       [tex]d = a - k[/tex]

=>    [tex]d = 31 - 28[/tex]

=>   [tex]d = 3\%[/tex]

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       [tex]n = \frac{3\%}{0.6\%}[/tex]

=>     [tex]n = 5\ years[/tex]

Generally the year which the considered percentage will be attained is  

    [tex]b = 1990 + n[/tex]

=> [tex]b = 1990 + 5[/tex]

=> [tex]b = 1995[/tex]

Answer:

no

Step-by-step explanation:

Answer: 4 1/2

Step-by-step explanation:

The absolute value of a given number is [tex]4\frac{1}{2}[/tex].

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

The given number is [tex]-4\frac{1}{2}[/tex].

So, absolute value of a number is

|[tex]-4\frac{1}{2}[/tex]|= [tex]4\frac{1}{2}[/tex]

Hence, the absolute value of a given number is [tex]4\frac{1}{2}[/tex].

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Answer:

This would be the same as an isosceles right triangle. It would be 61ft x (square root of 2) = ~86.3ft

This is rounded of course...

The distance from from home to second base is 86.26 ft.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a slow pitch softball diamond is actually a square 61 ft on a side.

A slow-pitch softball diamond is actually a square shape.

The side length of the square is 61 ft

Here ABCD is square. The length of the side is AB=BC=CD=DA=60 feet.

Consider the distance between home base to second base is the hypotenuse if we draw a right triangle using the diagonal across the square and two sides of the square.

Let us assume the diagonal distance from home to second base BD=x.

Let us find the distance from home base to second base by using Pythagorean Theorem:

Now, x²=61²+61²

x²=3721+3721

x²=7442

x=√7442

x=86.26 ft

Therefore, the distance from from home to second base is 86.26 ft.

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