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3 years ago

Write the expression in standard form 4(2a) + 7(-4b)+ (3×c×5).

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

In standard from this will look like.... 8a - 28b + 15c

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If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the p

Stells [14]

Answer:

93% probability of a student taking a calculus class or a statistics class

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student takes a calculus class.

B is the probability that a student takes a statistics class.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student takes calculus but not statistics and $A \cap B$ is the probability that a student takes both these classes.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability of taking a calculus class and a statistics class is 0.07

This means that $A \cap B = 0.07$

The probability of taking a statistics class is 0.90

This means that $B = 0.9$ . So

$B = b + (A \cap B)$

$0.9 = b + 0.07$

$b = 0.83$

The probability of a student taking a calculus class is 0.10

This means that $A = 0.1$

$A = a + (A \cap B)$

$0.1 = a + 0.07$

$a = 0.03$

What is the probability of a student taking a calculus class or a statistics class

$A \cup B = a + b + A \cap B = 0.03 + 0.83 + 0.07 = 0.93$

93% probability of a student taking a calculus class or a statistics class

5 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.

NikAS [45]

Use the Pythagorean theorem

Side = sqrt(8^2 - 6^2)

Side = sqrt(64-36)

Side = sqrt(28)

Side = 5.29

Rounded to nearest tenth = 5.3

7 0

3 years ago

Read 2 more answers

In a department store, a $40 dress marked, "save 25%." what is the discount? what is the sales price of the dress?

Bogdan [553]

Answer:

Discount = $10

Sales Price = $30

Step-by-step explanation:

Discount

= 25% of marked price

= 25% x $40

= (25/100) x 40

= $10

Sales price = Marked price - Discount = $40 - $10 = $30

8 0

3 years ago

1/16 in. Converted to mm

Shalnov [3]

1/16 converted into mm is 1.5875 mm

7 0

3 years ago

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Gilda drove 650miles at an average speed of 50 miles per hour.how many miles per hour faster would she have had to drive in orde

zzz [600]

T=650mi(hr/50mi)=13 hr

t-1=12 hr

12=650/(50+v) multiply both sides by 50+v

600+12v=650 subtract 600 from both sides

12v=50 divide both sides by 12

v=25/6 mph

v≈4.17mph

6 0

3 years ago