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NARA [144]
3 years ago
12

A company did a survey to compare the popularity of two web browsers. It was found that 75 students used browser A and 40 of tho

se students used browser B also. There were 18 students who did not use browser A but used browser B. There were 7 students who did not use either browser A or browser B.
Using a two-way table, predict the number of students who would use browser B when 300 students participate in the survey.

115
133
162
174

Mathematics
2 answers:
pshichka [43]3 years ago
7 0

Answer:

The correct option is D.

Step-by-step explanation:

It is given that,

The number of students who use browser A = 75.

The number of students who use both browsers A and B = 40.

The number of students who use browsers B but not A = 18.

The number of students  who did not use either browser A or browser B = 7.

From the given information, we can make a two way table as shown below.

Total number of students is 100 and 58 of them use browser B.

If 300 students participate in the survey, then the number of students who use browser B is

58\times 3=174

Therefore the correct option is D.

butalik [34]3 years ago
6 0
Answer is 174.

using the given data, find the total number of students in the survey(100)
If no. of students using browser B is 58 when total is 100, what will be the number when  the total is 300? (58*300/100 = 174)
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Explain why parallelograms are always
Mars2501 [29]

Answer: Parallelogram is a kind of quadrilateral where as there are some quadrilaterals (like trapezoid , kite, .. ) that do not satisfy the properties of parallelograms.

Step-by-step explanation:

A quadrilateral is a closed polygon having fours sides.

A parallelogram is a kind of quadrilateral having following properties:

Its opposite sides and opposite angles are equal.

The sum of adjacent angles is 180°.

The diagonal of parallelogram bisect each other.

A Trapezoid is also a quadrilateral . It has only one pair of parallel sides. (The other one are not parallel).

So , all quadrilaterals not parallelograms.

Therefore, parallelograms are always quadrilaterals but quadrilaterals are sometimes parallelograms because parallelogram is a kind of quadrilateral where as there are some quadrilaterals (trapezoid , kite, .. ) ) that do not satisfy  the properties of parallelograms.

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6 0
3 years ago
Verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial
Mariulka [41]

Answer:

i) Since P(2), P(-1) and P(½) gives 0, then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

ii) - the sum of the zeros and the corresponding coefficients are the same

-the Sum of the products of roots where 2 are taken at the same time is same as the corresponding coefficient.

-the product of the zeros of the polynomial is same as the corresponding coefficient

Step-by-step explanation:

We are given the cubic polynomial;

p(x) = 2x³ - 3x² - 3x + 2

For us to verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial, we will plug them into the equation and they must give a value of zero.

Thus;

P(2) = 2(2)³ - 3(2)² - 3(2) + 2 = 16 - 12 - 6 + 2 = 0

P(-1) = 2(-1)³ - 3(-1)² - 3(-1) + 2 = -2 - 3 + 3 + 2 = 0

P(½) = 2(½)³ - 3(½)² - 3(½) + 2 = ¼ - ¾ - 3/2 + 2 = -½ + ½ = 0

Since, P(2), P(-1) and P(½) gives 0,then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

Now, let's verify the relationship between the zeros and the coefficients.

Let the zeros be as follows;

α = 2

β = -1

γ = ½

The coefficients are;

a = 2

b = -3

c = -3

d = 2

So, the relationships are;

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Thus,

First relationship α + β + γ = -b/a gives;

2 - 1 + ½ = -(-3/2)

1½ = 3/2

3/2 = 3/2

LHS = RHS; So, the sum of the zeros and the coefficients are the same

For the second relationship, αβ + βγ + γα = c/a it gives;

2(-1) + (-1)(½) + (½)(2) = -3/2

-2 - 1½ + 1 = -3/2

-1½ - 1½ = -3/2

-3/2 = - 3/2

LHS = RHS, so the Sum of the products of roots where 2 are taken at the same time is same as the coefficient

For the third relationship, αβγ = -d/a gives;

2 * -1 * ½ = -2/2

-1 = - 1

LHS = RHS, so the product of the zeros(roots) is same as the corresponding coefficient

7 0
3 years ago
3/6x + 9 = 8 what does x equal
Anastaziya [24]
3/6x+9=8
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3 0
3 years ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

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Then find the reciprocal and change the sign of the exponent.

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The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
2 years ago
The sum of two numbers is 66. the larger number is 2 more than 3 times the smaller. what are the two numbers?
Montano1993 [528]
The two numbers are 48 and 18.

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l = 2 + 3s

66 = 2 + 3s + s

66 = 2 + 4s

66 - 2 = 64

64 = 4s

64 / 4 = 16

66 = l + 16

66 - 16 = 50

50 - 2 = 48

16 + 2 = 18

66 = 48 + 18
7 0
4 years ago
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