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3 years ago

The number of gift baskets Penelope can make varies directly with the amount of time she spends making the baskets.

Mathematics

2 answers:

Bingel [31]3 years ago

4 0

The answer is 10 baskets in 5 hours because 5 divided by 1/2 is 10

insens350 [35]3 years ago

3 0

She can make 40 baskets in 5 hours because in 1 hour she can make 8 so 8 times 5 is 40

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-2/3 times (-2 1/4)times 3/4 <br> Show work pls

mihalych1998 [28]

(-2/3)*(-2 1/4)*(3/4) Convert the mixed fraction to improper fraction.
(-2/3)*(-9/4)*(3/4) Then you multiply the numerators with numerators and denominators with denominators

(-2*-9*3) negative times negative is positive, so the negative sign is gone
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54/48 This is the product of this multiplication, now you need to simplify
by reducing the numbers of the fraction

9/8 And that would be the answer

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3 years ago

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ziro4ka [17]

Answer:

10×3=30 so the area is 30 square feet

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3 years ago

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A recipe calls for 1 /4 start fraction, 1, divided by, 4, end fraction cup of chocolate chips for each batch of cookies. A

Neko [114]

Answer:

Step-by-step explanation:

1/2 cup = 2/4 cups = 2 × 1/4 cup

Alonzo can make 2 batches that each require 1/4 cup.

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3 years ago

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Artist 52 [7]

Answer:

Step-by-step explanation:

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3 years ago

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A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon

melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.

X~ Uniform(0,100)

Then the probability mass function is given as follows.

$f(x) = P(X=x) = 1/100 \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0 \,\,\,\, \text{otherwise}$

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows

$D(x) =\left\{ \begin{array}{ll} x & \mbox{if } 0\leq x \leq 20 \\ x-20 & \mbox{if } 20\leq x < 45\\ 70-x & \mbox{if } 45 \leq x \leq 70\\ x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.$

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable $Y = D(X)$ , $Y$ is a random variable as well, remember that there is a theorem that says that

$E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx$

Where $f(x)$ is the probability mass function of X. Using the information of our problem

$E[Y] = \int\limits_{-\infty}^{\infty} D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx \bigg]\\= \frac{51}{4} = 12.75$

3 0

3 years ago