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1 year ago

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This box plot shows information about the marks scored in a test. 40 50 60 70 Points scored Nobody gained exactly 30, 48 or 70 m

arks. 120 students gained less than 70 marks. How many students gained more than 48 marks? 80 90 100 10 20 30

1 answer:

Sonbull [250]1 year ago

7 0

Answer:

80

Step-by-step explanation:

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Explain e=mc(squared)

stepladder [879]

"Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing. Under the right conditions, energy can become mass, and vice versa.

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2 years ago

Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?

svlad2 [7]

Answer:

C. $f(x)=(x-(7-i))(x-(5+i))(x-(7+i))(x-(5-i))$

Step-by-step explanation:

We want to find the equation of a polynomial the following properties;

i. Leading coefficient is 1

ii. roots (7 + i) and (5 – i) with multiplicity 1

Recall the complex conjugate properties of the roots of a polynomial.

According to this property, if

$a+bi$ is a root of a polynomial, then the complex conjugate, $a-bi$ is also a root.

This means that:

(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial.

The complete set of roots are:

$x=(7+i),x=(7-i),x=(5-i),x=(5+i)$

Therefore the polynomial is:

$f(x)=(x-(7-i))(x-(5+i))(x-(7+i))(x-(5-i))$

The correct choice is C.

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2 years ago

Read 2 more answers

Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are

Charra [1.4K]

A)<span> How much would it cost to ship a package weighing 3.2 pounds? Explain how you arrived at your answer.
Answer:
Shipping cost of 3.2 package is $4.13.
</span>We can't use the cost assigned to 3 lbs because the package is over 3 lbs but it is not over 4 lbs so we use the cost of 4lbs. (check the attachment for price)

b)<span>What type of graph is needed to represent the Media Mail shipping prices as a function of the weight of the books shipped? Explain your thinking.
Answer:
Line graph </span>is needed to represent the Media Mail shipping prices as a function of the weight of the books shipped.
In line graph, x values represent the weight in pounds and the y values represent the cost.

c)<span>Graph the Media Mail shipping prices as a function of the weight of the books shipped.
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When we g</span>raph the Media Mail shipping prices as a function of the weight of the books shipped, it will be;

f(x) = 2.69 + 0.48(x-1)

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1 year ago

James wants to invest $12,000. He can invest the money at 7.2% simple interest for 30 yr or he can invest at 6.8% with interest

Sever21 [200]

Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.

In 30 years, the simple interest will be

... I = P·r·t = 12,000·0.07·30 = 25,200

In 30 years, the compound interest will be

... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31

_____

6.8% compounded continuously results in more total interest

4 0

1 year ago

An 60 ounce bottle of grape juice contains 33 ounces of water a 50 ounce bottle of cranberry juice has 30 ounces of water which

sp2606 [1]

Answer:

Bottle containing cranberry juice has a greater percent of water.

Step-by-step explanation:

A 60 ounce bottle of grape juice contains 33 ounces of water.

So the percentage of water in the bottle = $\frac{\text{Amount of water}}{\text{(Amount of water + juice)}}\times 100$

= $\frac{33}{60}\times 100$

= 55%

Similarly 50 ounces bottle of cranberry juice contains 30 ounces of water.

So the percentage of water in the bottle = $\frac{\text{Amount of water}}{\text{(Amount of water + juice)}}\times 100$

= $\frac{30}{50}\times 100$

= 60%

Therefore, bottle containing cranberry juice has a greater percent of water.

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1 year ago

Read 2 more answers