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levacccp [35]
3 years ago
13

A jug contains some orange juice. After pouring 240 milliliters of the orange juice into a cup, there are 875 milliliters of ora

nge juice left in the jug. Write and solve an equation to find out how much orange juice was in the jug at first.
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

1,115 mL

Step-by-step explanation:

The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!

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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0
2 years ago
Which statement describes the function shown on the graph
Anna007 [38]
Let’s use process of elimination
Since the y intercept is at (0, y)
It is around -9 and -10
It cannot be A or C
Now for slope, it is moving up at a steep pace. The slope should be positive.
For D, the slope is too little.
Therefore, it has to be B

Solution: B
7 0
2 years ago
What is the definition of direct control in statistics?
anyanavicka [17]

Answer:

DIRECT CONTROL. Definition. HOLDING EXTRANEOUS FACTORS CONSTANT SO THAT THEIR EFFECTS ARE NOT CONFOUNDED WITH THOSE OF THE EXPERIMENTAL CONDITIONS. Term.

6 0
2 years ago
From a standard deck of 52 cards what is the probability of picking either an eight or a queen
Shtirlitz [24]
In a standard deck of 52 cards, there are four 8's and four queens. The probability of picking an eight is 4/52 or 1/13. Furthermore, the probability of picking a queen from the deck is also 1/13. Since the problem asked for the probability of picking either eight or queen, add the probability of picking queen and eight. The addition gives 2/13. 

Thus, the answer is 2/13. 
7 0
2 years ago
A ski-lodge casts a 3-foot long shadow. at the same time, a 3.5 foot ski pole sticking vertically out of the snow casts a 0.5 fo
Alisiya [41]

Answer:

The lodge is 21 feet tall.

Step-by-step explanation:

Ski Lodge:

object/shadow

x/3

Ski Pole:

object/shadow

3.5/0.5

Solve for x:

x/3 = 3.5/0.5

0.5x = 10.5

x = 21

3 0
2 years ago
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