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4 years ago

Last Friday Tristan had $12 over the weekend she with you some money for babysit she now has $21 how much money did you receive

Mathematics

2 answers:

Setler79 [48]4 years ago

6 0

She got 9 more dollars then last time because 12 plus 9 is 21

mezya [45]4 years ago

4 0

She received 9 more Dollars than before.

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your recipe calls for 2 over 3 cups of sugar. you are only making 2 over 4 of the recipe. how much sugar do you need? not simpli

dalvyx [7]

The quantity of sugar required for 2/4 of the recipe is 1/3 cups

<h3>How to solve fraction?</h3>

let

x = quantity of sugar needed

Ratio of sugar to recipe

2/3 : 1 = x : 2/4

2/3 ÷ 1 = x ÷ 2/4

2/3 × 1/1 = x × 4/2

2/3 = x × 2

2/3 = 2x

x = 2/3 ÷ 2

x = 2/3 × 1/2

= 2/6

x = 1/3 cups

Therefore, the quantity of sugar required for 2/4 of the recipe is 1/3 cups

Learn more about fraction:

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8 0

2 years ago

A light bulb has a lifetime X that is exponentially distributed with a mean 340 hours. Find the probability that the bulb lifeti

LUCKY_DIMON [66]

Answer:

0.7026

Step-by-step explanation:

Let X denote the lifetime of light bulb. Given $X \sim Exp(\lambda)$ where the mean is $E(X) = 340 =\frac{1}{\lambda} \implies \lambda = \frac{1}{340} = 0.00294$ .

Recall that,

$\displaystyle P(X>x) = 1 - \int_0^x e^{-\lambda x} = 1 - (1 - e^{-\lambda x} = e^{-\lambda x}$

$\displaystyle P(X>220 | X>100) = \frac{P(X>220,X>100)}{P(X>100)} = \frac{e^{-\lambda \times 220}}{e^{-\lambda \times 100}} = \frac{0.5236}{0.7452} = 0.7026$

7 0

3 years ago

How do I do numbers 12 to 14?

NARA [144]

Answer:

12. 1 second, 35 ft; 2 seconds, 32 ft

13. (t, y) = (1.4 seconds, 37.6 feet)

14. 37.6 ft; the vertex is the highest point

Step-by-step explanation:

12. You have properly answered question 12.

After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.

13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...

(t, y) = (1.4, 37.6)

14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.

The maximum height is 37.6 feet.