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rodikova
4 days ago
7

The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com

pany wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 7 Coffeeton residents. Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.A) 0.00819B) 287C) 0.0789D) 0.254
Mathematics
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Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)
AnnZ [12381]

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45 kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The price is $9.70 per kilogram.

6 0
2 months ago
2. José is using 12 brown tiles and
AnnZ [12381]
The answer is: 12:20.
3 0
1 month ago
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to
AnnZ [12381]

Response:

9.55 minutes

Step-by-step breakdown:

x hours to reach the river

0.25-x hours for the return trip, as 15 minutes equals 0.25 hr.

to the river 40 mph * x hours =40x miles

from the river 70 mph (0.25-x) hours=17.5-70x

these two equations are equivalent

40x=17.5-70x

110x=17.5

x=17.5/110=0.159 hours

9.55 minutes

3 0
1 month ago
An athlete jumped 5.5 feet which was 1.1 times higher than the previous jumper how high did the previous athlete jump
Svet_ta [12734]

Answer:

5 ft

Step-by-step explanation:

Denote the height of the previous jump as j. Therefore, it follows that 1.1j equals 5.5 ft.

By dividing both sides by 1.1, we derive j = 5 ft. This indicates the height from the prior jump.

3 0
2 months ago
Read 2 more answers
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