Y= x + 3 y= -1/2x - 3 plot 2 lines on the graph

The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.

Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, $h=15\ ft$

The distance from the base of the pole to this point on the ground is, $b=8\ ft$

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

$(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2$

Plug in the given values and solve for 'l'. This gives,

$l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17$

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0

3 years ago

Stephen and Natasha have played 27 tennis matches.

maria [59]

B. natasha,because what is 27-11? 16 and which one is higher 11 (stephen) or 16(natasha) hope this helps! :)

4 0

3 years ago

Excel computes a two‑sample confidence interval for the difference in proportions just as well and as easily as Minitab and othe

True [87]

Answer:

See ecplanation below

Step-by-step explanation:

False.

On the Data analysis tool from excel we can conduct the following procedures:

Anova: Single Factor

Anova: Two factor with replication

Anova: Two factor without replication

Correlation

Covariance

Descriptive statistics

Exponential smoothing

F-test Two sample for Variances

Fourier analysis

Histogram

Moving Average

Random number generation

Rank and percentile

Regression

Sampling

t test: Paired two sample for means

t tes: Two sample assuming equal variances

t test: Two sample Assuming Unequal Variances

z test: Two sample for means

And as we can see we don't have an specific procedure just to obtain confidence interval for the difference of proportions. We need to remember that if we select a z test in excel, for example the output will contain the confidence associated to the parameter, but for this case is not too easy obtain a confidence interval for the difference of proportion like on a statistical software as (Minitab, R, SAS, etc) since all of these statistical softwares are elaborated in order to conduct all the possible statistical tests and confidence intervals for parameters of interest.

5 0

3 years ago

PLEASE HELP ME! I am suck on this math assignment

patriot [66]

Hey there! I'm happy to help!

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QUESTION 18

Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).

$\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right]$

Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.

$\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right]$

So, your answer is $\left[\begin{array}{ccc}16\\16\\\end{array}\right]$ .

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QUESTION 14

We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.

$\frac{x^2}{25} + \frac{y^2}{16}=1$

We subtract $\frac{x^2}{25}$ from both sides.

$\frac{y^2}{16}=1-\frac{x^2}{25}$

We multiply both sides by 16.

$y^2=1-\frac{x^2}{25}*16$

We square root both sides.

$y=$ $\sqrt{1-\frac{x^2}{25}*16$

We can take a four out of our root (because 16 is a perfect square so it can be simplified more).

y= $4\sqrt{1-\frac{x^2}{25}$

And we take out 1/5 (which is the square root of 1/25).

y=± $\frac{4}{5}\sqrt{1-x^2$

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QUESTION 17

We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.

From now on, they will be winning 2/3 of their games. Let's look at the answer options.

A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.

B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.

C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.

D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.

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QUESTION 16

Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.

This eliminates answer choices B and D as they do not have the equal part on the inequality.

Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.

So, our final answer is A.

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QUESTION 12

You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:

2×2 times 2×1 YES

2×1 times 2×2= NO

3×3 times 3×1= YES

3×1 times 3×3= NO

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Have a wonderful day and keep on learning! :D

6 0

3 years ago

How the flibberdoodle do you graph decimals on a coordinate graph?!!

Annette [7]

Plotting coordinates can be a little confusing, but it doesn't have to be as long as you remember a few important details. The first number in the coordinate set tells you how far right (for a positive number) or left (for a negative number) you need to travel on the x-axis. The second number in the coordinate set tells you how far up (for a positive number) or down (for a negative number) you need to travel on the y-axis. Any set of coordinates can be represented by the variables x and y. If you picture (x, y), it will help you remember the x-coordinate comes first, so you will travel either right or left before travelling up or down.

5 0

2 years ago

Read 2 more answers

Y= x + 3 y= -1/2x - 3plot 2 lines on the graph​

Y= x + 3 y= -1/2x - 3plot 2 lines on the graph