I and m are parallel to each other​

Answer:

yes

Step-by-step explanation:

Answer:

\( V_x = -\frac{50}{2*(-1)} =25\)

And for the coordinate on y we can use the function like this:

\( V_y = -(25)^2 +50*25 -456 =169\)

Then the vertex would be \( V= (25,169)\)

Step-by-step explanation:

For this problem we have the following function given:

\( f(x) = -x^2 +50x -456\)

That represent a quadratic function and the general form is given by:

\( f(x)= ax^2 +bx +c\)

For this problem a =-1 , b= 50 , c=-456 and we can find the corrdinate of the vertex in x with this formula:

\( V_x =-\frac{b}{2a}\)

And replacing we got:

\( V_x = -\frac{50}{2*(-1)} =25\)

And for the coordinate on y we can use the function like this:

\( V_y = -(25)^2 +50*25 -456 =169\)

Then the vertex would be \( V= (25,169)\)

Answer:

It would cost $116 for a group of 8 people.

Step-by-step explanation:

You would divide 145/10 to find the cost for 1 group (which would be $14.5). Then, you would multiply 14.5x8 to get your answer of $116.

Answer:

$116

Step-by-step explanation:

1. First, let's find how much it costs for 1 person to attend a concert by dividing 145 by 10.

2. Next, let's multiply 14.5 by 8.

Therefore, it costs a group of 8 people $116 to attend a concert.

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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The line segment which represents 2 7/16 inches should first be drawn with the use of a ruler.

This is referred to an instrument which is used to measure distances between points or draw straight lines and also usually graduated in inches.

On the inches graduation, the zero mark should be located and the 1/16 inch which is found before the half-inch mark between 2 and 3 inches. When this is done, a line should be drawn to meet both points which will therefore measure 2 7/16 inches long.

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

b)  26%

Step-by-step explanation:

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

\(\large\boxed{X \sim\text{N}(\mu,\sigma^2)}\)

Given:

\(\textsf{Mean}\;\mu=3550\)

\(\textsf{Standard deviation}\:\sigma=870\)

Therefore, if the weights of the cars passing over the bridge are normally distributed:

\(\boxed{X \sim\text{N}(3550,870^2)}\)

where X is the weight of the car.

To find the approximate probability that the weight of a randomly-selected car passing over the bridge is less than 3000 pounds, find\(\text{P}(X < 3000)\).

Calculator input for "normal cumulative distribution function (cdf)":

\(\implies \text{P}=0.2636333503\)

\(\implies \text{P}=26\%\)

Therefore, the approximate probability that the weight of a randomly-selected car passing over the bridge is less than 3000 pounds is 26%.

Answer:

x = 12

Step-by-step explanation:

For this problem it is important to note that the sum of the two unknown angles' measurements is equivalent to the given known angle measurement as implied by the drawing.  With this in mind let's write our givens:

m<CGF = 10x - 10

m<HGC = 3x + 10

m<HGF = 156

So now let's form our equation to represent the drawing:

m<CGF + m<HGC = m<HGF

And now let's solve the equation to find the value of the x.

m<CGF + m<HGC = m<HGF

( 10x - 10 ) + ( 3x + 10 ) = 156

10x - 10 + 3x + 10 = 156

13x = 156

x = 12

Hence, our value for x is 12.

Cheers.

The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

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The standard deviation by the given  probability distribution is 3.3412.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

x P(x)

−5 0.17

−3 0.21

−1 0.09

3 0.23

5 0.23

7 0.07

Now,

To find the standard deviation, we need to use the formula:

standard deviation = sqrt[∑(x - μ)²P(x)]

where μ is the expected payout.

We have already calculated μ to be 0.76. Using this value and the given probabilities, we can calculate the standard deviation as:

standard deviation = sqrt[( (-5 - 0.76)² * 0.17) + ((-3 - 0.76)² * 0.21) + ((-1 - 0.76)² * 0.09) + ((3 - 0.76)² * 0.23) + ((5 - 0.76)² * 0.23) + ((7 - 0.76)² * 0.07)]

=3.3412

Therefore, by the given data the standard deviation will be 3.3412.

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Answer:

the correct answer is 38th terms is triple its 18th term

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

It's 6415.35

Sam drove approximately 246 miles.

Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:

213.33 - 18.99 = 194.34

We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:

194.34 = 0.79x

where x is the number of miles driven.

To solve for x, we can divide both sides of the equation by 0.79:

x = 194.34 / 0.79 ≈ 246

Therefore, Sam drove approximately 246 miles.

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Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

-1.53

0.47

-2.07

2.65

The last two observations are unusual

Step-by-step explanation:

mathematically;

z-score =( x-mean)/SD

Kindly note that an observation is termed unusual if the z-score is greater than +2 or less than -2

for x= 13

z-score = (13-21.4)/5.5 = -1.53

for x= 24

z-score= (24-21.4)/5.5 = 0.47

for x = 10

z-score = (10-21.4)/5.5 = -2.07

unusual

for x = 36

z-score = (36-21.4)/5.5 = 2.65

unusual

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

The table that represents exponential growth is the second table.

Exponential growth simply means a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Exponential growth is the pattern of data which shows sharper increases over time. In finance, compounding creates exponential returns and the savings accounts with a compounding interest rate can show exponential growth.

In this case, the second table described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. Here, every time the Xs increase by 1, the Ys increase by a multiple of 4.

One of the best examples of exponential growth is observed in bacteria. Here, it takes bacteria roughly an hour to reproduce through prokaryotic fission. This illustrates exponential growth.

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Answer: B

Step-by-step explanation:

Answer:

9/5 (K-273.15) + 32=F

Step-by-step explanation:

K=5 /9(F−32)+273.15

Subtract 273.15 from each side

K-273.15=5/9(F−32)+273.15-273.15

K-273.15=5/9(F−32)

Multiply by 9/5 on each side

9/5 (K-273.15)= 9/5 *5/9(F−32)

9/5 (K-273.15)=(F−32)

Add 32 to each side

9/5 (K-273.15) + 32=F−32 +32

9/5 (K-273.15) + 32=F

Answer:

f=1/59k+27.370339

Step-by-step explanation:

k=59(f−32)+273.15

Step 1: Flip the equation.

59f−1614.85=k

Step 2: Add 1614.85 to both sides.

59f−1614.85+1614.85=k+1614.85

59f=k+1614.85

Step 3: Divide both sides by 59.

59f/59=k+1614.85/59

f=1/59k+27.370339

Answer: H - 46

Step-by-step explanation:

Primeter = 2(l + w)

50 = 2{(3m+2) + (m-5)}

25 = 3m+2 +m -5

25 = 4m -3

m = 28/4 = 7

l = 3m+2 = 23 cm

w = m-5 = 2 cm

Area = l x b

= 23 x 2 = 46 sq. cm.

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Answer:

-2

this eq. can be simplified to -

y = 5 - 2x

we know that the coefficient of x is the slope

therefore , -2 is the slope

Answer:

A. -2

Step-by-step explanation:

Arrange to y-intercept form:

-4x + 7 = 2y - 3

7 = 4x + 2y - 3

7 + 3 = 4x + 2y

10 = 4x + 2y

10 - 2y = 4x

-2y = 4x - 10

y = -2x + 5

As you can see, -2 is the slope of the equation.

Answer:

The first table is correct

Step-by-step explanation:

x=Yellow   Prob

0               .5625

1                .375

2               .0625

The attached document shows a tree diagram with all 16 outcomes.  Each outcome has probability 1/16.

The numbers at the right show the numbe of yellows for each outcome.  There are 9 outcomes with 0 yellow (prob = 9/16).

There are 6 outcomes with 1 yellow (prob = 6/16)

There is 1 outcome with 2 yellow (prob = 1/16)

Sorry about the watermarks--distracting!

Based on the given set of values, we can note that the first table is correct

This refers to the calculations of the way an event is most likely to occur.

Hence, the table for  x=Yellow   Prob

0               .5625

1                .375

2               .0625

For each outcome, there is probability 1/16.

The numbers at the right show the number of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).

There are 6 outcomes with 1 yellow (prob = 6/16)

There is 1 outcome with 2 yellow (prob = 1/16)

Hence, because the calculated values are consistent with the values in the first table, then we can conclude that the first table is correct.

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Answer:

\(n \geq 42\)

Step-by-step explanation:

Data provided

P = 0.6

The calculation of sample size is shown below:-

Here the sampling distribution of proportion will be approximately normal, then follow the rule which is here below:-

\(np\geq 10\ and\ np (1 - p)\geq 10\)

Now we will consider condition 2

\(np(1 - p)\geq \ 10\)

\(n(0.6) (1 - 0.6) \geq \ 10\)

\(n(0.6) (0.4) \geq\ 10\)

\(n\geq \frac{10}{0.24}\)

\(n \geq 41.66667\)

or

\(n \geq 42\)

Therefore for computing the required sample size we simply solve the above equation.

To find the prime factorization of 72 let's do our factor tree:

As we can see, we have two times the number 3, and three times the number 2, which means that 72 can be written as

Final answer: