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4 years ago

Analyze the data sets below

Mathematics

1 answer:

alukav5142 [94]4 years ago

7 0

both set..............

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What is 411 x 212 ??????????????

Sonja [21]

87,132 is the answer.

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4 years ago

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Find the missing side of the triangle. Round to the nearest tenth where necessary find qr

abruzzese [7]

Answer:

QR = 4.9 ft

Step-by-step explanation:

Since the triangle is a right triangle, use the Pythagorean Theorem (a² + b² = c²).

$a^2+b^2=c^2\\\\a^2+1^2=5^2\\\\a^2+1=25\\\\a^2=24\\\\\sqrt{a^2}=\sqrt{24}\\\\a=4.9$

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3 years ago

A motorist is driving eastbound at the posted maximum speed along a stretch of University Parkway in Baltimore. The probability

ICE Princess25 [194]

Answer:

0.7

Step-by-step explanation:

Let A and B be the events

A = the motorist encountered a red light at the 1st intersection

B = the motorist encountered a red light at the 2nd intersection

Then we have

$P(A) = 0.4$

$P(B|A) = 0.7 \; (P(B) \; given \; A \; occurred)$

$P(B|A^c) = 0.2 \; ( where\; A^c \; is \; the \; complement \; of \; A)$

We want to find P(A|B), the probability that A occurred given that B occurred.

Using Bayes' Theorem we have

$P(A|B)=\frac{P(B|A)P(B)}{P(B|A)P(B)+P(B|A^c)P(A^c)}$

So,

$P(A|B)=\frac{0.7P(B)}{0.7P(B)+0.2(1-P(A))}=\frac{0.7P(B)}{0.7P(B)+0.12}$

and we just need to find P(B)

But

$0.7=P(B|A)=\frac{P(B\cap A)}{P(A)}=\frac{P(B\cap A)}{0.4}\Rightarrow P(B\cap A)=0.28$

and

$0.2=P(B|A^c)=\frac{P(B\cap A^c)}{P(A^c)}=\frac{P(B\cap A^c)}{0.6}\Rightarrow P(B\cap A^c)=0.12$

Since

$(A\cap B)\cap (A\cap B^c)=\emptyset \;and\;(A\cap B)\cup (A\cap B^c)=B$

We have

$P(B)=P(A\cap B)+P(A\cap B^c)=0.12+0.28=0.4$

and finally,

$P(A|B)=\frac{0.7P(B)}{0.7P(B)+0.12}=\frac{0.7*0.4}{0.7*0.4+0.12}=\frac{0.28}{0.4}$

$\boxed{P(A|B)=0.7}$

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4 years ago

In the _____ model, the basic logical structure is represented as an upside-down tree.

Natali5045456 [20]

Answer:

In the hierarchical model, the basic logical structure is represented as an upside-down tree.

This is so because the structure starts at the top with groups or levels of higher hierarchy and these are further subdivided into groups of lower hierarchy, which is why the structure becomes wider as you move from top to bottom.

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3 years ago

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Which expression is equivalent to m2−13m−30?

Morgarella [4.7K]

Answer:

Step-by-step explanation:

$m^2-13m-30=$

$(m-15)(m+2)$ , or answer choice A.

You can confirm this by solving the other way and expanding the above expression:

$(m-15)(m+2)=$

$m^2-15m+2m-30=$

$m^2-13m-30$

Hope this helps!

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3 years ago