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3 years ago

PLEASE HELP

Mathematics

1 answer:

dsp733 years ago

4 0

Answer:

All events are independent

Step-by-step explanation:

You are given the table

$\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}$

Two events A and B are independent when

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

$Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21$

Since $0.35\cdot 0.60=0.21$ events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

$Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14$

Since $0.40\cdot 0.35=0.14$ events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

$Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26$

Since $0.65\cdot 0.40=0.26$ events are independent

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irina [24]

Answer:

Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Distance from Laura's home to her job = 4 1/2 miles

Time when Laura starts to walk to her job : 9:00 a.m.

Time when Laura is scheduled to start working : 11:00 a.m.

2. Will she arrive at her job on time?

Time Laura has to complete the distance from her home to her job = 2 hours (11 -9)

Speed that Laura need to walk to arrive to her job on time = Distance from Laura's home to her job/Time Laura has to complete the distance from her home to her job

Speed that Laura need to walk to arrive to her job on time = 4 1/2 miles/2 hours = (4 1/2)/2 = (9/2)/2 = 9/2 * 1/2 = 9/4 = 2 1/4

Speed that Laura need to walk to arrive to her job on time = 2 1/4 miles per hour.

Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.

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3 years ago

Amber is starting a garden. She plants 2 flowers the first month. The next month, she plans three times more flowers (6 flowers)

Artist 52 [7]

This is a geometric progression problem. We can the general formula that can tell us how many flowers would be planted each month.
Let's write the terms that we know and see if we can find the pattern:
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\begin{tabular}{lll}
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The patern here is obvious. Let's write it down:
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3 years ago

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

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3 years ago

Math: -x + 6 is greater than or equal to 10

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Answer:

It is actually less than 10.

Step-by-step explanation:

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street

Goshia [24]

Answer:

Height of the streetlight ≈ 8 ft(nearest foot)

Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

ab = 5.6 ft

The ratio of the base sides = 24/34

The ratio of the heights = 5.6/x

The two ratio are equal Therefore,

24/34 = 5.6/x

24x = 5.6 × 34

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divide both side by 24

x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

Download docx

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