Victoria's family is going on vacation. The cabin is 1,054 miles away. How long wil it take them to get there if their average speed is 62 miles per hour? please help me for I don't understand how to do it. ​

Answer:

6

Step-by-step explanation:

To find the mean, we take the numbers on the cards and divide by the number of cards.  Let x be the number on the 5th card

( 3+5+7+9+x) / 5 = 6

(24+x)/5 = 6

Multiply both sides by 5

24+x = 30

Subtract 24 from each side

24+x-23 = 30-24

x=6

Answer:

6

Step-by-step explanation:

Since the mean of the 4 values in the first 4 cards is 6, only by having a value of 6 in the fifth card can he keep the same mean.

Answer: 6

The estimated population of African elephants in 2020 is around 0.91 million elephants.

The exponential function that models the elephant population decline can be written as:

f(x) = 12 * (0.97)^x

where x is the number of years since 1900, and 0.97 represents the 3% decline in population per year (since 1 - 0.03 = 0.97).

To estimate the elephant population in 2020, we need to find the value of f(2020-1900) = f(120), which represents the population after 120 years since 1900.

f(120) = 12 * (0.97)^120

≈ 0.91 million elephants

Therefore, based on this model, the estimated population of African elephants in 2020 is around 0.91 million elephants.

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Answer:

D

Step-by-step explanation:

D is right(not the left! the right)and right is always right

Answer:

24

Step-by-step explanation:

If 4/6 of the items are jackets and the rest are gloves, this means 1 - 4/6 = 2/6 = 1/3 of the items are gloves in Saginaw Elementary School's lost and found.

We do 72 total items × 1/3 items are gloves = 24 items in the lost and found are gloves

Answer: 7 minutes

Step-by-step explanation:

There is no n variable in the question, found the original question and the equations is: t = 2n – 3.

So, to answer this question we simply have to substitute n=5 in the equation given:

t = 2(5) – 3.

Solving for t(time)

t = 10-3 = 7 min.

It will take the customer 7 minutes to buy 5 coffees.

Feel free to ask for more if needed or if you did not understand something.  

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

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The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B

-9x^8 / y^10

Check all that applies:

x^8 / (9×y)^10

= x^8 / 9y^10

No

-(9×x)^8/y^10

= -9x^8 / y^10

Yes

1/(9×x)^8 × y^10

= 1 / (9x^8) × (y^10)

No

Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".

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The answer is -   the height of the rhombus is approximately 27.5cm and the surface area of the rhombus is 450cm^2.

To find the height and surface area of a rhombus with sides of length a = 17cm and diagonal d = 30cm, we can use the following formulas:

1. The height (h) of a rhombus can be found by using the Pythagorean theorem:

h = sqrt(d^2 - (a/2)^2)

Plugging in the values we get:

h = sqrt(30^2 - (17/2)^2)
h = sqrt(900 - 144.5)
h = sqrt(755.5)
h ≈ 27.5cm

Therefore, the height of the rhombus is approximately 27.5cm.

2. The surface area (A) of a rhombus can be found by multiplying the length of the diagonals (d1 and d2) and dividing by 2:

A = (d1 * d2) / 2

Since a rhombus has equal diagonals, we can use the value of d for both d1 and d2:

A = (30 * 30) / 2
A = 450cm^2

Therefore, the surface area of the rhombus is 450cm^2.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

You have separated 4 aces from a deck of cards. A coin is tossed and one of ... If the NCAA has applications from 6 universities for hosting its intercollegiate ... They must choose a host city for the 2016 and 2017 championships. a. How many ways may they select the hosts for these events if they are not both to be held at.

Step-by-step explanation:

There are 119 inches in 3.0226 meters, rounded to the nearest inch. To get this answer, the conversion factor of 2.54 cm per inch is used to convert meters to inches.

First, we need to convert 3.0226 meters to centimeters for converting we can multiplying it by 100

3.0226 meters = 302.26 centimeters

Next, we can convert centimeters to inches, for this we need to divide it by 2.54

302.26 centimeters / 2.54 centimeters per inch ≈ 119 inches

Rounding to the nearest inch, we get

119 inches ≈ 119 inches

Therefore, there are approximately 119 inches in 3.0226 meters.

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0.0029

the proabiblity that a random sample of n=40 oil changes results in a sample mean time of less than 10 minutes is

p((x-u)/(sigma/square root n))< ((10-11.4)/(3.2/square root 40))

p(z<-2.7669)

0.0029        (you can see in the file )

the complete question is

the shape of the distribution of time required to get an oil change at a 10 minutes oil change facility is unknown.however records indicate that the mean time for an oil change is 11.4 minutes and the standard deviation for oil change time is 3.2

then what is the probability that a random sample of n=40 oil change results in a sample mean time of less than 10 minutes?

therefore the probability that a random sample of n=40 oil change results in a sample mean time of less than 10 minutes is 0.0029

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Answer:1/16

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

5 students travelled by car , leaving 158 - 5 = 153 students to travel by bus.

153 students travelled in 3 full buses, therefore

153 ÷ 3 = 51 students in each bus

Step-by-step explanation:

51 Students Traveled in one bus

Answer:

4/7 has least common denominator

= 0.5( approx.)

Answer:

21 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

yea he is wrong

Step-by-step explanation:

He is wrong because you cant not just switch the variable. If you move the variable the value will change.

Answer:

36÷7.2=5

So this is the answer

The second wedge has a greater volume and it is greater by 4.125 in³.

Since the each cheese wedge has a triangular base, its volume V = 1/2bhw where

Given that for the first wedge, b = 2.5 in, h = 4.5 in and w = 3 in, its volume V' = 1/2bhw

= 1/2 × 2.5 in × 4.5 in × 3 in

= 33.75 in³/2

= 16.875 in³

Given that for the second wedge, b = 3 in, h = 4 in and w = 3.5 in, its volume V" = 1/2bhw

= 1/2 × 3 in × 4 in × 3.5 in

= 42 in³/2

= 21 in³

Since V" = 21 in³ > V' = 16.875 in³, the second wedge has a greater volume.

The amount its is greater than the first volume is the difference in their volumes. V" - V' = 21 in³ - 16.875 in³

= 4.125 in³

The second wedge has a greater volume and it is greater by 4.125 in³.

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Answer:

Here!!

Step-by-step explanation:

Hope this helped!!! have a good day :D

Answer:

21.9

Step-by-step explanation:

When rounding to the nearest tenth, we are rounding to 1 decimal place.

If the number in the hundredth place is 5 or more, we round up.

If the number in the hundredth place is less than 5, we round down.

17.26 rounded to the nearest tenth is 17.3

as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.

4.556 rounded to the nearest tenth is 4.6

as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.

Therefore, 17.3 + 4.6 = 21.9

The seconds will take to print the sport rep is 10 seconds.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

Given

Periodical Express is a newspaper printing company. They printed 450 copies of The Informer in just 15 seconds.

They next need to print 300 copies of the Sport Report.

If they print at the same rate

Let the number of seconds be x .

so ,

for 450 copies it takes 15 seconds .

than for 300 copies it takes x seconds

than x = 300 * 15 / 450

x = 10

Hence the seconds will take to print the sport rep is 10 seconds.

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The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

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Answer:

8+4=2(x-1)

8+4=2x-2

12=2x-2

14=2x

x=7

From the equations , the company A is selling the phone for less money

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The equations for Company A :

The smart phone price per month = $ 35.50

The smart phone price for 1 year = $ 35.50 x 12

                                                      = $ 426

The price for 1/12 th of a phone = $ 35.50

The price for the entire phone = ( Price for 1/12 th of a phone ) x 12

                                                   = $ 35.50 x 12

                                                   = $ 426

Now , The equations for Company B :

The smart phone price per month = $ 18.00

The smart phone price for 2 year = $ 18.00 x 24

                                                        = $ 432

The price for 1/24 th of a phone = $ 18.00

The price for the entire phone = ( Price for 1/24 th of a phone ) x 24

                                                   = $ 432

Therefore , we can clearly see that price of the smart phone offered by Company A is lesser than price of the phone offered by Company B

And , $ 426 < $ 432

Hence , from the equations , the company A is selling the phone for less money

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Answer: 0.045%

Step-by-step explanation:

The correct option is Option D  (12.00, 16.00). According to which The 95% confidence interval for the population mean is (12.00, 16.00).

Confidence interval provides an estimated range of values that likely contains the true population parameter. In this case, we are interested in estimating the population mean based on a sample of 7 observations: 17, 11, 12, 13, 14, 15, and 16.

By using formula for 95% confidence interval:

Confidence Interval = sample mean ± (critical value × standard error)

The critical value is determined based on the desired confidence level and the sample size. For a 95% confidence level and a sample size of 7, the critical value is 2.4469 (obtained from statistical tables or software).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size. In this case, the sample standard deviation is 2.1602.

Plugging these values into the formula, we find the confidence interval to be (12.00, 16.00). This means that we can be 95% confident that the true population mean falls within this range.

Thatswhy, option D is correct option.

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Answer:

5y + 15x = 25, 9x - y = -4

Step-by-step explanation:

The standard form is Ax + By = C. We can make this simple by first creating the slope intercept equations of both questions:

1.  y = (-3/5)x + 5

2. y = 9x + 4

For the first one, we must first get rid of the denominator by multiplying everything by 5, so we get 5y = -15x + 25, and then you can add 3x to both sides to arrive at your first standard eqn, 5y + 15x = 25.

For the second, all you need to do is swap the y and the 4, subtracting both y and 4 from each side, arriving at 9x - y = -4

Answer:

1A.     C   B   E   D  A   F

B.       H  G   J   K    I    L

Step-by-step explanation: