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3 years ago

Rewrite each algebraic expression with fewer terms

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

6 0

1) solving $9.5(a + 4)-a$ we get $8.5a+38$

2) Solving $8 + h- 2\times 5$ we get $-2+h$

Step-by-step explanation:

Rewrite each algebraic expression with fewer terms

$1) 9.5(a + 4)-a$

Solving:

Multiplying 9.5 with terms inside the bracket

$9.5(a + 4)-a\\=9.5a+38-a\\=8.5a+38$

So, solving $9.5(a + 4)-a$ we get $8.5a+38$

$8 + h- 2\times 5$

Solving:

$8 + h- 2\times 5\\=8+h-10\\Combining\,\,like\,\,terms:\\=8-10+h\\=-2+h$

So, Solving $8 + h- 2\times 5$ we get $-2+h$

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Between 1965 and 1980, the world population grew at an annual rate of 2%. Using the rule of 72, population is expected to double

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Answer:

The population is expected to double in 36 years

Step-by-step explanation:

According to the the rule of 72,

A value is doubled if the product of the annual rate and number of years is 72,

Given,

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Let x be the time in years after 1965,

By the above statement,

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Hence, the after 36 years since 1965 the population will be doubled,

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A polar bear swims 390 meters at a in 150 seconds, what is the speed of the polar bear?

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The answer is 2.6 m/s

The speed (v) is distance (d) through time (t).
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3 years ago

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A survey of

Zina [86]

Answer:

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Step-by-step explanation:

-Given the sample size is 400 and the desired proportion is 16.

-The confidence interval can be determined as follows:

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#We the use this proportion to find the CI at 95%:

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You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What i

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Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

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Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

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= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

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Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

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= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

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