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3 years ago

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17. In a speech class, students must give a final speech for their exam. The speech can be 15 minutes, or within that time by 4

minutes. Write an absolute value equation that represents the minimum and maximum lengths of the final speech

1 answer:

tekilochka [14]3 years ago

7 0

Answer:

| t − 15 | = 4

Step-by-step explanation:

absolute value is weird and i see no use for it

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You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

oksian1 [2.3K]

Answer: The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)= $\dfrac{1}{4}=0.25$

You win $6; if the faces are both heads

then P(Y=6)=P(HH)= $\dfrac{1}{4}=0.25$

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)= $\dfrac{2}{4}=0.50$

The expected value to win : E(Y)= $\sum_{i=1}^{i=3} y_ip(y_1)$

$=1\times0.25+6\times0.25+(-3)\times0.50=0.25$

Hence, the mean of Y : E(Y)= $0.25

$E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25$

Variance = $E[Y^2]-E(Y)^2$

$=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19$

Hence, variance of Y = $ 6.19

6 0

3 years ago

A company is testing a product which is intended to make hair grow faster. One of the test subjects started with a hair length o

padilas [110]

Answer:

3. An additional month of product use is associated with an additional 0.85 inch of growth.

Step-by-step explanation:

Given that a company is testing a product which is intended to make hair grow faster. One of the test subjects started with a hair length of 8.2 inches

After a year of using the product, the test subject's hair measured 18.4 inches. If the growth rate was constant during the trial period, then we find that for 12 months hair growth is 10.2 inches

Assuming constant growth for 1 month growth is 10.2/12 = 0.85 inches

i.e. for every month additional use the growth would be 0.85 inches.

The equation relating hair growth and months would be

Hair size = No of months used *0.85 + 8.2

So correct option is

3. An additional month of product use is associated with an additional 0.85 inch of growth.

5 0

2 years ago

On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how m

djyliett [7]

Answer:

$3,442.40

$3,057.60

Step-by-step explanation:

The computation of the each investment is as follows:

let us assume the one investment be x

And, the other investment be y

So

According to the question

x + y = $6,500

And,

-7x + 8y = $364

Now multiply by 7 in equation 1

7x + 7y = $45,500

-7x + 8y = $364

15y = $45,864

y = $3,057.60

x = $6,500 - $3,0657.60

= $3,442.40

8 0

3 years ago

A box of cereal measures 19.5 cm by 30 cm by 6.5 cm. It is filled to 80% capacity. A cereal bowl is hemispherical and measures 1

Naddika [18.5K]

Volume of cereal box=19.5*30*6.5=3802.5cc. The volume of cereal is 80% of this=0.8*3802.5=3042cc.

Volume of the cereal bowl is 2/3(pi)r^3 (half the volume of a sphere 4/3(pi)r^3) where r=radius=12/2=6cm. The volume is therefore 2/3(pi)*216=144(pi)cc.

The number of full cereal bowls is 3042/144(pi)=21.125/(pi)=6.72. So 6 cereal bowls can be filled from the cereal in one cereal box.

8 0

2 years ago

Read 2 more answers

How do I find the probability to this

lbvjy [14]

By assumption is the answer of your question.

6 0

3 years ago