The product of p and 5 write your expression here

In rectangle DATE, the diagonals DT and AE intersect as S. If LaTeX: AE=40 A E = 40 and LaTeX: ST=x+5 S T = x + 5 , find the val

svetoff [14.1K]

For this case we have the following diagonals:
AE = 40
ST = x + 5
The intersection of the diagonals occurs when:
AE = ST
Therefore, matching we have:
40 = x + 5
Clearing x we have:
x = 40-5
x = 35
Answer:
The value of x is:
x = 35

4 0

3 years ago

Read 2 more answers

What is 1000×2000×3000×4000×5000

Sophie [7]

Answer:

120000000000000000

Step-by-step explanation:

1.2*10^17

6 0

2 years ago

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Interpret the independent and dependent variables of these two bivariate data collections.

maw [93]

Answer:

The dependent variable = Number of homeruns

Independent variable = years played

The Independent variable is Number of characters per minute

Dependent variable is Texting speed

Step-by-step explanation:

The independent variable are the variables which are used to infer or being about changes to the dependent variable by supplying different values of them, they are also called predictor variables. By varying the number of years, a baseball players' number of homeruns' can be predicted in such basis, hence, the

predicted or dependent variable is the number of homeruns'.

Similarly, the Number of characters (independent) an individual is able to type within a particular period of time can be used determine the Texting speed (dependent) of such person.

5 0

3 years ago

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Anybody knows how to not procrastinating? I'm struggle with that. thanks

Dafna1 [17]

Explanation:

Here are the few points that might help you to avoid procrastination.

1. Keep your workstation clean, that does not make you feel overburdened with work.

2. Break down your work into pieces.

3. Make short term tasks rather long terms.

4. Prioritize goals with a deadline.

5. More you delay more you will be working under pressure so better not to delay.

6. Some times talk to yourself, tell yourself the more you delay worse it will get for you only.

These points should help.

4 0

3 years ago

Use the Normal model N(1133,78) for the weights of steers.

Rudiy27

Answer:

Step-by-step explanation:

Let $X\sim N(1133, 78)$ .

Here, the mean is 1133 and standard deviation is 78.

Since we don't have the table for N(1133, 78), so we use the standard table for N(0,1),

a)

All we have to do is find, within the table the specific percentile.

now to find (42nd percentile) 0.42 in the normal table N(0,1) and extract the number on the row and column.

$P(X\leq x)=0.42$

Using: $Z=\frac{X-\mu}{\sigma}$ where $\mu$ is the mean and $\sigma$ is the standard deviation.

$P(\frac{X-1133}{78} \leq \frac{x-1133}{78})=0.42$

let $z=\frac{x-1133}{78}$

then, we have

$P(Z\leq z)=0.42$

Now, using Standard Normal table to find the value of z- score;

Usually, tables are set up as the probability that a number, z is less than or equal to Z.

i.e, $z= -0.20$

Now, putting this value in $z=\frac{x-1133}{78}$ , to find x;

$\frac{x-1133}{78}=-0.20$

On Simplify, we get;

$x=1,117.4$ pounds

b)

Similarly, find the weight for 91st percentile.

Follow the same steps that we have done in part (a),

$P(X\leq x)=0.91$ or

$P(\frac{X-1133}{78} \leq \frac{x-1133}{78})=0.91$

⇒ $P(Z \leq \frac{x-1133}{78})=0.91$

let $z=\frac{x-1133}{78}$

then, we have

$P(Z\leq z)=0.91$

Now, use normal table value to find the z-score;

Usually, tables are set up as the probability that a number, z is less than or equal to Z

we have, z= 1.34

putting the z value in $z=\frac{x-1133}{78}$ we get,

$\frac{x-1133}{78}=1.34$

On simplify, we get

x= 1,237.52 pounds

c)

the interquartile range (IQR)=3rd Quartile - 1st quartile

First find the 1st quartile:

$P(\frac{X-1133}{78} \leq \frac{x-1133}{78})=0.25$

⇒ $P(Z \leq \frac{x-1133}{78})=0.25$

let $z=\frac{x-1133}{78}$

then, we have

$P(Z\leq z)=0.25$

Now, we use normal table to find that z=-0.675

putting the z value in $z=\frac{x-1133}{78}$ we get,

$\frac{x-1133}{78}=-0.675$

On simplify, we get

x= 1,080.35 pounds

Similarly, for third quartile

By symmetry z=0.675

putting the z value in $z=\frac{x-1133}{78}$ we get,

$\frac{x-1133}{78}=0.675$

On simplify, we get

x= 1,185.65 pounds

then, IQR = 1185.65 -1080.35=105.3 pounds

7 0

4 years ago