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3 years ago

Find the mean 2.6, 0.0, 0.8 2.1 1.5

Mathematics

1 answer:

Alinara [238K]3 years ago

7 0

Answer:

2.6+0+0.8+2.1+2.5=8 8/5values= 1.6

Step-by-step explanation:

im assuming you meant to have a comma inbetween 2.1 and 2.5?

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Please include work!

geniusboy [140]

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14 ------------------------(II)

Substitute the y value in equation (II)

0.5x² - 10 = -x² + 14 {Add x² to both sides}

0.5x² + x² -10 = 14 {combine like terms}

1.5x² - 10 = 14 {Add 10 to both sides}

1.5x² = 14 + 10

1.5x² = 24 {Divide both sides by 1.5}

1.5x²/1.5 = 24/1.5

x² = 16

x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

= 0.5*16 - 10

= 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

= 0.5*16 - 10

= 8- 10

y = -2

5 0

3 years ago

A bus driver covers a certain distance in 3 hours at an average speed of 80 km/h. How long will the journey take at an average s

BaLLatris [955]

Answer:

d= s x t

=50km/h x 3h

= 150km/h

8 0

2 years ago

Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of

grin007 [14]

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

Let the total time taken by her in doing routine activities be x

Time taken in getting dressed is given by

$\frac{1}{3}x$

So, According to question,

$\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}$

Now, we need to find the time taken in driving to work which is given by

$\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes$

Hence, Nancy needs 26 minutes to driving to work.

6 0

3 years ago

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt

Musya8 [376]

Answer:

ΔMNO= 90°, m = 7.316 cm, n = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

Calculating the length of m

We know that the Tangent of an angle is gotten by dividing the opposite side by the adjacent side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = m ÷ 15

0.4877 = m / 15

make m the subject and multiply both sides by 15

0.4877 × 15 = m / 15 × 15

7.3155 = m

∴ m = 7.316 cm

Calculating the length of n

For this we can use the Pythagoras theorem that states, a² + b² = c² where m = a, b = 15 cm and c = n. Hence:

7.316² + 15² = c ²

53.52 + 225 = c ²

278·52 = c ²

c = √278·52

c = 16.69

∴ n = 16.69 cm

We could also use the Cosine of ΔOMN to get length n i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ n

0.8987 = 15 / n

Make 15 the subject and multiply both sides by n

0.8987 × n = 15 / n × n

0.8987 n = 15

Divide both sides by 0.8987

0.8987 n ÷ 0.8987 = 15 ÷ 0.8987

∴ n = 16.69 cm

Hope this helps!

8 0

2 years ago

Taking a moment every day to think about what you are thankful for shows which character trait?

andreev551 [17]

gratitude the answer

5 0

3 years ago