A semi-elliptic archway has a height of 15 feet

at the center and a width of 50 feet, as shown

in the figure. The 50-foot width consists of a

two-lane road. Can a truck that is 12 feet high

and 14 feet wide drive under the archway

without going into the other lane?

Answer:

x=5.9

Step-by-step explanation:

tan(26)=x/12. x=12*tan(26)=5.9

Answer: This question is confusing because I can't come up with a whole answer because I don't see a way to get to it no matter how many different ways I try to solve it ;-; The closest I got was $267 with 10 tickets and the fee

Step-by-step explanation:

Therefore the solution to this question is Anthony ran 5.5 miles each day after school.

An equation is a mathematical statement that proves the equality of two mathematical expressions, according to the definition of an equation in algebra. To give one example, the two expressions 3x + 5 and 14 are contained in the equation 3x + 5 = 14.

Here,

Let x represent how far he ran after school.

He ran four days straight after school, covering the same distance four times. He completed a 1.5-mile run before heading to school each day for a total of 6 miles. He completed 28 miles of running.

So, the equation which will represent this will be,

4(x + 1.5) = 284(x+1.5)=28

4x + 6 = 284x+6=28

4x = 28 - 64x=28−6

4x = 224x=22

x = 5.5x=5.5

So, Every day after school, Anthony ran 5.5 miles.

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Answer:

Step-by-step explanation:

the answer is 5.5 cause i just had that question for ixl and got it right!!!

Answer:

(-9, -2.5)

Step-by-step explanation:

Find the average of each corresponding number. If you notice, (x, y) is the layout for points. Therefore, -7 and -11 are your x values. -7 + -11 = -18

-18/2 = -9

Your y values would be 8 and -13. So find their average. 8 + -13) = -5

-5/2 = -2.5

Using Excel, the probability that 2 or fewer students are left-handed in a random sample of 70 students from a school where 10% of the students are left-handed can be calculated as approximately 0.9999.

To calculate the probability using Excel, we can utilize the binomial distribution function. The binomial distribution is appropriate for situations with a fixed number of independent trials (sampling 70 students) and two possible outcomes (left-handed or not left-handed).

In Excel, the formula to calculate the probability of 2 or fewer left-handed students can be written as "=BINOM.DIST(2, 70, 0.1, TRUE)". Here, "2" represents the number of left-handed students (or fewer) we want to calculate the probability for, "70" is the total number of students in the sample, and "0.1" is the probability of a student being left-handed (10% or 0.10).

Evaluating this formula in Excel yields a probability of approximately 0.9999 when rounded to four decimal places. This implies that there is an extremely high probability (close to 100%) of having 2 or fewer left-handed students in a random sample of 70 students from the school, given that the overall proportion of left-handed students in the school is 10%.

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Answer:

49

Step-by-step explanation:

Answer:

x < 1

Step-by-step explanation:

2(x-7)<-12

Divide by 2

2(x-7)/2<-12/2

x-7 < -6

Add 7 to each side

x-7+7 < -6+7

x < 1

Train A is traveling at 60 mph and Train B is traveling at 70 mph.

Let's call the speed of Train A "x" (in miles per hour).

Then we know that the speed of Train B is "x + 10" (since Train B travels 10 mph faster than Train A).

The two trains are moving in opposite directions, so the distance between them is increasing at the combined rate of their speeds. Therefore, we can use the formula:

distance = rate × time

For Train A, the distance traveled in 4 hours is:

distance A = x × 4 = 4x

For Train B, the distance traveled in 4 hours is:

distance B = (x + 10) × 4 = 4x + 40

The total distance between the two trains is given as 520 miles:

distance A + distance B = 520

Substituting in the expressions for distance A and distance B:

4x + (4x + 40) = 520

Simplifying and solving for x:

8x + 40 = 520

8x = 480

x = 60

So the speed of Train A is 60 mph. The speed of Train B is x + 10, or:

60 + 10 = 70 mph

Therefore, Train A is traveling at 60 mph and Train B is traveling at 70 mph.

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limₐ→∞xₙₐ= limₙ→∞xₙ= L;

Let xₙ be a monotonically increasing sequence. Thus:

xₙ₊₁≥xₙ

Consider a subsequence of xₙ namely xₙₐ. Then:

xₙₐ≥xₙ, ∀nₐ≥n

We are also given that:

limₐ→∞xₙₐ=L

Given that fact we know that xₙₐ is bounded above. Therefore:

xₙ≤xₙₐ≤L

Now by monotone convergence theorem a monotone bounded sequence must be convergent. Also by uniqueness of a limit for a convergent sequence and the fact that all its subsequences are also convergent to the same limit:

limₐ→∞xₙₐ= limₙ→∞xₙ= L

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Answer:

2+2 = 4

Step-by-step explanation:

1+1= the answer

Answer:

A. 18 roses were red.

B. 30 roses were not red.

C. 5/8 were not red.

Step-by-step explanation:

In order to do this question, we first need a calculator. Then, we take three eighths and divide them on the calculator to get:

3 divided by 8 = 0.375.

Then, on the calculator again, we take the 48 roses and find the percentage of the roses that were red, by multiplying it by 0.375:

0.375 x 48 = 18.

A. 18 roses were red.

Now, for the next question, how many roses were not red. We take the 48 roses and subtract it from the roses that were red, which were 18 roses:

48 - 18 = 30.

B. 30 roses were not red.

Now, to find the fraction of the roses that weren't red. We take the 30 roses that weren't red and divide it by the total amount of 48 roses:

30 divided by 48 = 0.625.

In order to make 0.625 into a fraction, we take the higher, but lowest 100th place we can make for 0.625:

625/1,000.

Now, we simplify it:

625 divided by 5 = 125

1,000 divided by 5 = 200

Now, we have 125/200.

Simplify more:

125 divided by 5 = 25

200 divided by 5 = 40

Once more:

25 divided by 5 = 5

40 divided by 5 = 8

Our final fraction is 5/8.

C. The fraction of the roses that were not red are 5/8.

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If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.

To determine if the normality condition is satisfied, you can follow these steps:

1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.

2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.

3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.

4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.

5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.

For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.

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Answer:

Step-by-step explanation:

(9). Reflection across the x-axis keeps the same x-coordinate and y-coordinate is the opposite to original ( x , y ) ------> ( x , - y )

(10).  Reflection across the y-axis keeps the same y-coordinate and x-coordinate is the opposite to original ( x , y ) ------> ( - x , y )

(11). Translation along the vector < 0, 2 >  means that each point of triangle moves 2 units UP  ( x , y ) ------> ( x , y + 2 )

(12). Translation along the vector < 3, - 4 >  means, that each point of triangle moves 3 units to the RIGHT and 4 units DOWN  ( x , y ) ------> ( x + 3 , y - 4 )

(13). ( x , y ) ------> ( - x , - y )

(14). ( x , y ) ------> ( - y , x )  

Answer:

5 books

Step-by-step explanation:

you would buy 5 books

5x5=25

Answer:

P (- 5, 0 )

Step-by-step explanation:

To find where the line meets the x- axis, let y = 0 , that is

- 4x - 20 = 0 ( add 20 to both sides )

- 4x = 20 ( divide both sides by - 4 )

x = - 5

The coordinates of P are (- 5, 0 )

Answer:

Step-by-step explanation:

1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as  

L = 2W + 3

 where "twice the width" is 2W and "three more" is just adding 3.

 2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle

 P = 2W + 2L

  set the formula to 36 and that gives us our second equation: 36 = 2W + L

then use substitution do solve

Answer:

a) yes, they are similar

b) ΔDEF will have a greater area

1.2 times greater (which is the same proportion as 36/30)

Step-by-step explanation:

a) 40/48 = 0.8333

30/6 = 0.8333

Same ratio so they are similar

b) ΔDEF will have a greater area because EF is longer than BC.

area of ΔABC = 1/2(30)(40) = 600 cm²

area of ΔDEF = 1/2(36)(40) = 720 cm²

720/600 = 1.2 x greater

Answer:

Se necesitan 15 cajas para almacenar cada alimento por separado.

Step-by-step explanation:

En este ejercicio necesitamos hallar el Máximo Común Divisor entre la cantidad disponible de alfajores y empanadas, cada una de las cuales se almacenan sin mezclar. Para ello descomponemos factorialmente cada número:

Cantidad de alfajores

\(450 = 2\times 3^{2}\times 5^{2}\)

Cantidad de empanadas

\(105 = 3\times 5\times 7\)

El Máximo Común Divisor consiste en el factor común de cada uno de los productos de números primos:

\(M.C.D. = 3\times 5\)

Entonces, cada caja tiene una capacidad máxima de 7 empanadas o 30 alfajores y se necesitan 15 cajas para almacenar cada alimento por separado.

Answer:

Y=1/-1x+3

Step-by-step explanation:

First you find the slope, which would be 8/-8, simplified into 1/-1. Than you just use one of the points to create point slope form. First you use the equation y=mx+b. Plug in a (0,3) maybe. So, that would be 3=1(0)+b. Simplify that and you have 3=b. Your equation is y=x+3

Answer:

y=-x+3

Step-by-step explanation:

This graph has a slope of -1. I found this by putting the rise (change in y) over the run (change in x) over any interval. From point x=0 to x=1 the function goes down 1 on the y-axis, so it has a rise of -1. Between the same two points, the function goes 1 to the right on the x-axis, so it has a run of 1. Put the rise over the run, and you get -1/1 or -1. This graph also has a y-intercept of 3. In other words, the graph crosses the y-axis at y=3. If you plug the slope (m) and the y-intercept (b) into the formula y=mx+b, you'll get y=-x+3.

if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). \(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:

sin² t +  cos² t = 1

For an angle t in Quadrant IV, we know sin t is positive.

From the trig identity sin² t +  cos² t = 1

we can also write as:

sin t + cos t:

Now,

sin² t + cos² t = 1

sin² t   = 1 -  cos² t

sin t = ±√( 1 -  cos² t)

As noted above,

sin t is positive for t in the Quadrant IV, and so we have

sin t = √( 1 -  cos² t)

We know that

\(\cos t=\frac{1}{\sec t}\)

So, the equation will be

\(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

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The conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

Let E be the case where you choose the bogus coin and F be the case where you got heads twice. We wish to calculate P(E|F), which is the likelihood that you chose the fake coin given that you received heads twice.

By Bayes' theorem, we have:

P(E|F) = P(F|E)P(E) / P(F)

We can calculate each term on the right-hand side as follows:

P(F|E) = 1, Because the fake coin contains heads on both sides and always results in two heads when flipped.

P(E) = 1/n, since there is only one fake coin among n coins.

P(F) = P(F|E)P(E) + P(F|not E)P(not E), where not E is the event that you picked a normal coin. We can calculate:

P(F|not E) = (n-1) * (1/2)^2 = (n-1)/4, Because each normal coin has a 50% chance of revealing heads on each given flip and there are n-1 normal coins

P(not E) = (n-1)/n, since there are n-1 normal coins among n coins.

Therefore, we have:

P(F) = 1 * (1/n) + (n-1)/4 * (n-1)/n = (3n-1)/(4n)

Substituting these values into Bayes' theorem, we get:

P(E|F) = 1 * (1/n) / ((3n-1)/(4n)) = 4/(3n-1)

Thus, the conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).

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In the following code, you can add another array declaration that creates an array of 5 doubles called prices and another array of 5 Strings called names and corresponding System.out.println commands.

public class Test1 {

public static void main(String[] args) {

// Array example

int[] highScores = new int[10];

// Add an array of 5 doubles called prices.

double[] prices = new double[5];

// Add an array of 5 Strings called names.

String[] names = new String[5];

System.out.println("Array highScores declared with size " + highScores.length);

// Print out the length of the new arrays.

System.out.println("Array prices declared with size " + prices.length);

System.out.println("Array names declared with size " + names.length);

}

}

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Answer:

^{4}+36+8x^{2}

x^{4}+8x^{2}+36

Step-by-step explanation:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.  

i hope this helped

Answer:

138

Step-by-step explanation:

Answer:

th

e last oneStep-by-step explanation:

Answer:

I think its E because it's in between E and F and E and G

Step-by-step explanation:

The minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

In this target game, Malia needs to have the lowest mean distance of all throws to win. The mean distance is calculated by adding up all the distances and dividing by the number of throws.

First, we need to calculate the mean distance of Malia's first 7 throws.

Mean distance = (2 + 3 + 4 + 2 + 5 + 3 + 4) / 7 = 3.14

Now, we know that Malia's mean distance must be less than 3.14 to win the game. Let's call the distance of her last throw x.

The mean distance of all 8 throws will be: (2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8

To find the minimum distance that Malia needs on her last throw to win the game, we can set up an inequality:

(2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8 < 3.14

Multiplying both sides by 8 gives us:

2 + 3 + 4 + 2 + 5 + 3 + 4 + x < 25.12

Simplifying gives us:

x < 25.12 - 23

x < 2.12

Therefore, the minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.

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m = -33

Step-by-step explanation:

Answer:

Slope of 2

Step-by-step explanation:

First thing is to look at the change in x and y from the points. You can do this by subtracting the x valie from the other value and the same for the y values. So you would do 2-0=2.

So we know the change in x between the points, so now we find the change in y. 5-1=4.

Now that we know the change in x and y, we use the expression below to solve for the slope.

\( \frac{rise}{run} \: or \: \frac{y}{x} \)

We can insert what we found and then solve for the equation

\( \frac{4}{2} \)

So we solve for that, which is 2. Now we know the slope is 2.

Answer:

given us,

(x1y1)= (2,5)

(x2y2)= (0,1)

here,

(y-y1)= (y2-y1)/ (x2-x1)× (x-x1)

or, (y-5)=(1-5)/(0-2)× (x-2)

or, y-5= -4/-2 ×(x-2)

or,y-5= 2(x-2)

or, y-5/ x-2= 2

or,y-5= 2x-4

or, 2x-y= -4+5

:. 2x-y= 1

Step-by-step explanation:

2x-y= 1

The correct option is C as it consists exact domain and range that we need.

What is domain and range?

The domain of a function f(x) is that the set of all values that the function is outlined, and also the range of the operate is that the set of all values that f takes.

The set of all attainable values that qualify as inputs to a operate is thought because the domain of the operate, or it also can be outlined because the entire set of values attainable for freelance variables. .

Main body:

the given function :

{(2,3), (7,9), (4,-7), (6,2), (3,-5)}

domain = (2,7,4,6,3)

range = (3,9,-7,2,-5)

Hence the correct option is C.

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