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Alja [10]
4 years ago
9

Solve the inequality −4y + 6 < −14.

Mathematics
1 answer:
timama [110]4 years ago
5 0

Answer:

y >5

Step-by-step explanation:

−4y + 6 < −14

Subtract 6 from each side

−4y + 6-6 < −14-6

-4y < -20

Divide by -4.  Remember to flip the inequality since we are dividing by a negative

-4y/-4 >-20/-4

y >5

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A factory increased its production by 22.5% and produced 4900 tonnes .How many tonnes was it producing before?​
Liono4ka [1.6K]

Answer:

It produced 3797.5 tons before.

22.5% of 4900 is 1102.5

That subtracted from 4900 is 3797.5 tons

7 0
4 years ago
Read 2 more answers
Which expression is equivalent to 2(5 − 3x)? A) 10 − 5x B) 10 − 6x C) 7 − 5x D) 7 − 6x
krok68 [10]
The answer is b 10-6x
6 0
3 years ago
If x is normally distributed with U = 283 and o = 21 find p(x) is greater than 315
WINSTONCH [101]

The probability that the value of p(x) is greater than 315 is 0.063754

<h3>How to determine the probability that the value of p(x) is greater than 315?</h3>

From the question, the given parameters about the distribution are

  • Mean value of the set of data = 283
  • Standard deviation value of the set of data = 21
  • The actual data value = 315

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (315 - 283)/21

Evaluate the difference of 315 and 283

z = 32/21

Evaluate the quotient of 32 and 21

z = 1.524

The probability that the value of p(x) is greater than 315 is then calculated as:

P(x > 315) = P(z > 1.524)

From the z table of probabilities, we have;

P(x > 315) = 0.063754

Hence, the probability that the value of p(x) is greater than 315 is 0.063754

Read more about probability at:

brainly.com/question/25870256

#SPJ1

7 0
2 years ago
Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und
zhenek [66]

Answer:

Total distance from Mr. West to dolphin =27\frac{4}{5}\ meters

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean =25 \frac{1}{5} \ meters

Mr. West spot the dolphin under the water at a depth of =  2\frac{3}{5} \ meters

∴ Total distance from Mr. West to dolphin=(25 \frac{1}{5}+2\frac{3}{5})\ meters

Adding mixed numbers

(25 \frac{1}{5}+2\frac{3}{5})

Adding whole numbers first.

=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}

Adding fractions by taking LCD.

=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters

5 0
3 years ago
6. Identify each measurement that is approximatelyequivalent to 24 inches.60 cm30 cm5 cm2 ft
borishaifa [10]
2ft because one foot is 12 inches and 2 feet is 24 inches 
5 0
4 years ago
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