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2 years ago

A 15oz iced tea at a certain restaurant has 90 calories. How many calories are there in a 23oz iced tea?

Mathematics

1 answer:

Lyrx [107]2 years ago

7 0

Answer:

138 calories

Step-by-step explanation:

one Oz iced tea = 90/15 = 6

one Oz iced tea = 6 calories

23 Oz iced tea = 6 x 23 = 138 calories

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A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature

Westkost [7]

Answer:

(a) The value of k is $\frac{1}{15}$ .

(b) The probability that at most three forms are required is 0.40.

(d) $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ is not the pmf of y.

Step-by-step explanation:

The random variable Y is defined as the number of forms required of the next applicant.

The probability mass function is defined as:

$P(y) = \left \{ {{ky};\ for \ y=1,2,...5 \atop {0};\ otherwise} \right$

(a)

The sum of all probabilities of an event is 1.

Use this law to compute the value of k.

$\sum P(y) = 1\\k+2k+3k+4k+5k=1\\15k=1\\k=\frac{1}{15}$

Thus, the value of k is $\frac{1}{15}$ .

(b)

Compute the value of P (Y ≤ 3) as follows:

$P(Y\leq 3)=P(Y=1)+P(Y=2)+P(Y=3)\\=\frac{1}{15}+\frac{2}{15}+ \frac{3}{15}\\=\frac{1+2+3}{15}\\ =\frac{6}{15} \\=0.40$

Thus, the probability that at most three forms are required is 0.40.

(c)

Compute the value of P (2 ≤ Y ≤ 4) as follows:

$P(2\leq Y\leq 4)=P(Y=2)+P(Y=3)+P(Y=4)\\=\frac{2}{15}+\frac{3}{15}+\frac{4}{15}\\ =\frac{2+3+4}{15}\\ =\frac{9}{15} \\=0.60$

Thus, the probability that between two and four forms (inclusive) are required is 0.60.

(d)

Now, for $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ to be the pmf of Y it has to satisfy the conditions:

$P(y)=\frac{y^{2}}{50}>0;\ for\ all\ values\ of\ y \\$
$\sum P(y)=1$

Check condition 1:

$y=1:\ P(y)=\frac{y^{2}}{50}=\frac{1}{50}=0.02>0\\y=2:\ P(y)=\frac{y^{2}}{50}=\frac{4}{50}=0.08>0 \\y=3:\ P(y)=\frac{y^{2}}{50}=\frac{9}{50}=0.18>0\\y=4:\ P(y)=\frac{y^{2}}{50}=\frac{16}{50}=0.32>0 \\y=5:\ P(y)=\frac{y^{2}}{50}=\frac{25}{50}=0.50>0$

Condition 1 is fulfilled.

Check condition 2:

$\sum P(y)=0.02+0.08+0.18+0.32+0.50=1.1>1$

Condition 2 is not satisfied.

Thus, $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ is not the pmf of y.

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2 years ago

Given y - 2 = 4(x + 1), the equation in slope-intercept form is

tino4ka555 [31]

Answer:

Write in slope-intercept form,

y =mx+bxy=4x+6

Step-by-step explanation:

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3 years ago

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suppose 25 out of 175 people said they like to play disc golf and out 5 out of every twelve of the players have a personalized b

Serhud [2]

We have $\frac{5}{12}$ of 252 people who have a personalized black disc

Number of people who would have personalized flying disc = $\frac{5}{12}*252= \frac{2*252}{12}=105$ people

Then we work out the number of people who like to play disc golf:
$\frac{25}{175}*105= \frac{25*105}{175}=15$ people

So we have 15 people who like to play disc golf and have personalised black disc.

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3 years ago

Help me please and thank you!

lorasvet [3.4K]

Answer:

-4/3

Step-by-step explanation:

-2 - 1 is -3

6-2 is 4

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3 years ago

Round 1.0835 to the nearest hundredth

xz_007 [3.2K]

Answer:

1.1

Step-by-step explanation:

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2 years ago

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