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Juliette [100K]
1 year ago
14

In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hat

s is 7:4:12. If there are a total of 92 hats in this group, how many of these hats are not blue
Mathematics
1 answer:
elena-s [515]1 year ago
8 0

Answer:64 hats

Step-by-step explanation:

Ratio of Blue hats= 7

Ratio of Green hats= 4

Ratio of purple hats= 12

Total ratio = 7+4+12 = 23

Total hats= 92 hats

To get number of hats.that are not blue, we add the ratio of green and purple together= 4+12= 16

Number of hats that are not blue will be:

16/23 × 92

= 16 × 4

= 64

64 hats are not blue.

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Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the
user100 [1]

Answer:

A.The modes differ by 40 and the ranges differ by 40.

Step-by-step explanation:

The mode of a data set is the value that occurs most often.

For the data from last summer, the value 190 is in the list twice, while all other values are only in once.  This means 190 is the mode.

For the data from this summer, the value 150 is in the list twice, while all other values are only in once.  This means 150 is the mode.  This also means the difference in modes is 190-150 = 40.

The range is the difference between the maximum and minimum values in a data set.  For last summer's data, the maximum is 220 and the minimum is 140; this gives us 220-140 = 80 for the range.

For this summer's data, the maximum is 190 and the minimum is 150; this gives us 190-150 = 40 for the range.  This means the difference in ranges is 80-40 = 40.

7 0
1 year ago
Read 2 more answers
A comic book store is having a sale you can buy 20 comic books for $35. what is the cost of 8 comic books during the sale
Elodia [21]

Answer:

$14

Step-by-step explanation:

35/20 = 1.75

8*1.75 = 14

4 0
1 year ago
Read 2 more answers
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t
podryga [215]

Answer:

|0.254 ≤ p ≤ 0.286|

Step-by-step explanation:

Given that:

In a made up poll :

Proportion of people who like dark chocolate than milk chocolate (p) = 27%

Margin of Error = 1.6%

Hence,

p ± margin of error

27% ± 1.6%

(27 - 1.6)% ; (27 + 1.6)%

25.4% ; 28.6%

0.254 ; 0.286

Therefore ;

Lower bound = 0.254

Upper bound = 0.286

Expressing p as an absolute value Inequality ;

|0.254 ≤ p ≤ 0.286|

7 0
1 year ago
A tank contains 8000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped into the tank at a rate of 2
OleMash [197]

Answer:

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

Step-by-step explanation:

Data provide in the question:

Water contained in the tank = 8000 L

Salt per litre contained in Brine = 35 g/L

Rate of pumping water into the tank = 25 L/min

Concentration of salt \lim _{t \rightarrow \infty} C(t)=\lim _{t \rightarrow \infty} \frac{35 t}{320+t}

Now,

Dividing both numerator and denominator by t, we have

\lim _{t \rightarrow \infty} \frac{\frac{1}{t} 35 t}{\frac{1}{t}(320+t)}=\lim _{t \rightarrow \infty} \frac{35}{\frac{320}{t}+1}=35

Here,

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

3 0
2 years ago
En una cancha se va a pintar la circunferencia central que tiene un diámetro de 5 m .¿cual es la longitud de la circunferencia?
Alona [7]

Answer:

The length of the circumference is 5\pi\ m  or 15.70\ m

Step-by-step explanation:

<u><em>The question in English is</em></u>

On a court, the central circumference will be painted, which has a diameter of 5 m. What is the length of the circumference?

we know that

The circumference of a circle is given by the formula

C=\pi D

we have

D=5\ m

substitute

C=\pi (5)\\C=5\pi\ m

This is the exact value

assume

\pi=3.24

C=5(3.14)=15.70\ m

4 0
1 year ago
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