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ankoles [38]
2 years ago
5

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probabilit

y that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?
Mathematics
1 answer:
Agata [3.3K]2 years ago
8 0
There are total 10 juice boxes
P(grape) first pick:
2/10=1/5
P(grape) second pick:
1/9
As a result, the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape is 1/45. Hope it help!
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Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a differen
Anna007 [38]

Answer:

5 miles.

Step-by-step explanation:

Consider the question: Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a different route taking 2 1/2 hours. How many miles did Jinghua hike on the return trip ?

First of all, we will find Jinghua's speed using given information as:

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

Convert mixed fractions into improper fractions:

4\frac{1}{2}\Rightarrow \frac{9}{2}

2\frac{1}{4}\Rightarrow \frac{9}{4}

\text{Jinghua's speed}=\frac{\frac{9}{2}\text{ Miles}}{\frac{9}{4}\text{ Hours}}

Using property \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}:

\text{Jinghua's speed}=\frac{9*4\text{ Miles}}{9*2\text{ Hours}}

\text{Jinghua's speed}=\frac{2\text{ Miles}}{\text{ Hour}}

We know that distance is equal to the product of speed and time.

\text{Distance}=\text{Speed}\times\text{Time}

Since we have been given that Jingua hiked the return trip at the same average rate, so distance covered by her on return trip would be speed (2 miles her hour) times given time (2 1/2 hours).

\text{Distance covered by Jingua on return trip}=\frac{2\text{ Miles}}{\text{ Hour}}\times 2\frac{1}{2}\text{ Hours}

\text{Distance covered by Jingua on return trip}=2\text{ Miles}\times \frac{5}{2}

\text{Distance covered by Jingua on return trip}=5\text{ Miles}

Therefore, Jingua hiked 5 miles on her return trip.

8 0
2 years ago
The scatterplot shows the sales, in dollars, of snow cones in relation to the outside temperature, in degrees Celsius. According
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B) it is 450 dollars

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Why are you allowed to move the decimal points before dividing with decimals? Explain your reasoning. I will give the brainliest
oksano4ka [1.4K]

Answer:

so you can make both your dividend and your divisor equal so you can divide

Step-by-step explanation:

4 0
1 year ago
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A botanist is using two types of plants for an experiment. She writes inequalities to model the constraints on the number of eac
Valentin [98]
The vertex (5,39)

5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.

(5,39) vertex means that  <span>Buying five of each type of plant costs $39, which is the lowest possible cost.</span>
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2 years ago
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A geyser is a hot spring that periodically erupts a mixture of hot water and steam. Old Faithful in Yellowstone National Park is
vfiekz [6]

Answer:

Check the explanation

Step-by-step explanation:

Open file in excel.

Click on Data->Data Analysis and select Regression.

Enter wait time data range in y-variable.

Enter Duration data range in x-variable.

Click ok.

From above output:

#1 The equation of the linear regression line is:

A 95% confidence interval for the slope of the regression line is:

{(10.110,11.349)}

In excel, ise formula =FORECAST(6,wait time data range, duration data range) and press enter. The wait time between eruptions following a 6 minute eruption is \hat{Y}_{x=6}= 97.9} .

Since (for F test) p-value=0.000 , we can conclude that there is a statistically significant linear relationship between the duration of the eruptions and the wait time between eruptions.

The correct null and alternative hypotheses for this analysis:

{ H_0:\beta_1=0 \ H_a:\beta_1\ne 0}

Kindly check the output below

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