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3 years ago

Which diagram shows possible angle measures of a triangle?

Mathematics

2 answers:

gavmur [86]3 years ago

7 0

Hello!

the angles in a triangle add to 180°
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Triangle 1
115 + 35 + 25 = 175

Since it does not equal 180 it is not triangle 1
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Triangle 2
115 + 32 + 33 = 180

Since it does equal 180 it is triangle 2
------------------------------------------------------------------------------------------------------
The answer is triangle 2

Hope this helps!

Deffense [45]3 years ago

4 0

The second triangle is the answer

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zysi [14]

<span>C = 45 + 18 + 27 - 21 - 93 C = -24 Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C C "Cody made deposits of $45, $18, and $27 into his checking account." C = 45 + 18 + 27 "He then wrote checks for $21 and $93." C = 45 + 18 + 27 - 21 - 93 So the expression to represent the change to Cody's checking account is C = 45 + 18 + 27 - 21 - 93 Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it. C = 45 + 18 + 27 - 21 - 93 I'll add together all the deposits. C = (45 + 18 + 27) - 21 - 93 C = 90 - 21 - 93 And I'll combine the checks. C = 90 - 114 So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So C = -24 And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.</span>

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2 years ago

The scores for a certain test of intelligence are normally distributed with mean 85 and standard deviation 11. Find the 90th per

jonny [76]

Answer:

99.1 is the 90th percentile of these scores.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 11

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.90

$P( X < x) = P( z < \displaystyle\frac{x - 85}{11})=0.90$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.282) = 0.90$

Putting values, we get,

$\displaystyle\frac{x - 85}{11} = 1.282\\\\x = 99.1$

Thus, 99.1 is the 90th percentile of these scores.

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2 years ago

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vagabundo [1.1K]

Answer:

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Step-by-step explanation:

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2 years ago

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erastovalidia [21]

Answer:

$z=0.524$

And if we solve for a we got

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Step-by-step explanation:

Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:

$X \sim N(5,2)$

Where $\mu=5$ and $\sigma=2$

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

$P(X>a)=0.3$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524

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$P(X$

$P(z$

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

$z=0.524$

And if we solve for a we got

$a=5 +0.524*2=6.048 \approx 6.05 min$

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irinina [24]

6 is the answerI equations

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