which of the following angles would from an obtuse isosceles triangle 100,40,40 30,75,75 90,30,60

In a recent survey, 78% of students at Lincoln Middle School said they plan to attend a camp this summer. Write this percent as

prohojiy [21]

Answer:

Step-by-step explanation:

From the question, we are to represent 78% as a decimal

78% = 78/100

78/100 = 78 * 1/100

78/100 = 78 * 0.01

78/100 = 0.78

<em>hence the percent written as a decimal is 0.78</em>

3 0

2 years ago

At Pike Place Fish Market in Seattle, customers can purchase a variety of different types of seafood. One type of seafood sold a

allsm [11]

Answer:

$z=1.28$

And if we solve for a we got

$a=3.6 +1.28*0.8=4.624$

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

C. 4.64

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(3.6,0.8)$

Where $\mu=3.6$ and $\sigma=0.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.1$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.28$

And if we solve for a we got

$a=3.6 +1.28*0.8=4.624$

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

C. 4.64

8 0

3 years ago

Housing Price.The file calledsaratoga.JMPcontains data on 1728 houses in Saratoga, NewYork in the year 2006. The dataset include

Juliette [100K]

Answer:

iii. priceof a house in Saratoga, N.Y.

Step-by-step explanation:

In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.

Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.

In this question:

Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.

6 0

3 years ago

Describe a real world situation that can be modeled by the equation y=1/20x

MariettaO [177]

Your neighbor will let you take water from the well on his claim,
charging you $.05 a quart.

If 'x' is the number of quarts you take from his well on Tuesday, then
'y' is the amount of money you owe him before the sun goes down.

3 0

3 years ago

Can you help me it’s. 2 part question I can only add one picture at a time

snow_lady [41]

Recall the definition of the composition between two functions:

$(f\circ g)(x)=f(g(x))$

Similarly, but not always the same:

$(g\circ f)(x)=g(f(x))$

Use the rules of correspondence of the functions f and g to find the compositions:

$\begin{gathered} f(x)=6x-10 \\ g(x)=8-4x \end{gathered}$

Then:

$\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =6\cdot g(x)-10 \\ =6(8-4x)-10 \\ =6\cdot8-6\cdot4x-10 \\ =48-24x-10 \\ =-24x+38 \\ \\ \therefore(f\circ g)(x)=-24x+38 \end{gathered}$

On the other hand:

$\begin{gathered} (g\circ f)(x)=g(f(x)) \\ =8-4\cdot f(x) \\ =8-4(6x-10) \\ =8-4\cdot6x-4\cdot-10 \\ =8-24x+40 \\ =-24x+48 \\ \\ \therefore(g\circ f)(x)=-24x+48 \end{gathered}$

Therefore, the answers are:

$\begin{gathered} (f\circ g)(x)=-24x+38 \\ (g\circ f)(x)=-24x+48 \end{gathered}$

8 0

1 year ago