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2 years ago

Ken is going to throw a biased dice once.

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

Answer:

0.7

Step-by-step explanation:

Given a biased dice :

Probability of landing on 6 = P(6) ;

P(6) = 0.3

Recall :

P(A') = 1 - P(A)

Therefore,

P(6) = 0.3

P(not landing on 6) ; P(not 6) ;

P(not 6) = 1 - P(6)

P(not 6) = 1 - 0.3 = 0.7

Hence, Probability of not landing on 6 = 0.7

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In a right triangle, one of the exterior angles measures 155°. What is the measure of the non-adjacent, non-right angle?

tangare [24]

180 - 155 = 25
90 - 25 = 65
<span>B: 65 </span>°

3 0

3 years ago

Can't really find the answer. Any help?

prisoha [69]

a) you need to convert one of the prices so both of them are in the same units and you can compare them.

im going to convert the Japanese Yen into Euros as the numbers will be smaller but you can also do it the other way.

£1 = 188 japanese yen

?? = 39856 japanese yen

divide 39856 by 188 to get £212

this means 39856 Japanese Yen is equal to £212

then convert this into euros.

£1 = €1.41

£212 = ???

calculate 212 × 1.41 which gives you €298.92

this means 39856 Japanese Yen is equal to €298.92

the phone in Spain costs €352.50

this shows that the phone in Spain is more expensive than the one in Japan.

therefore, the mobile phone in Japan is cheaper.

b) from Part A, we know that the phone in Japan is 39856 Japanese Yen, which is equal to £212.

so now we need to convert €352.50 into Pounds (£) to compare the prices.

£1 = €1.41

?? = €352.50

divide 352.50 by 1.41 to get £250.

this means the phone in Spain costs £250 as €352.50 is equal to £250.

now we know the phone in Japan is £212 (in pounds) whereas the phone in Spain is £250 (in pounds).

we need to calculate the difference by doing £250 - £212 which equals £38

therefore, the phone in Japan is cheaper than the phone in Spain by £38

7 0

3 years ago

A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0

3 years ago

Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAF?Adjacent anglesComplementary a

Natalka [10]

The best angle relationship that describes angles BAC and EAF is supplementary angles

The sum of angle on a straight line is supplementary i.e. they sum up to 180 degrees.

If Angles BAE and FAC are straight angles, it means they are linear pairs and their sum is 180 degrees. Mathematically;

m<BAE + m<FAC = 180degrees

Hence we can conclude that the best angle relationship that describes angles BAC and EAF is supplementary angles

Learn more here: brainly.com/question/22309882

8 0

2 years ago

PLEASE HELP ASAP, FIRST PERSON ANSWERS WILL GIVE BRAINLIST WILL GIVE 20 PTS

kakasveta [241]

C is the correct answer because in a title, you always want to capitalize the bigger and more describing words.
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3 years ago

Read 2 more answers