The sum of two polynomials each of the degree 8 will be degree 8 true or false

Conversion. Write a reduced fraction notation for 0.56.

____ [38]

Answer:

Reduced fraction: 14/25

Step-by-step explanation:

To write 0.56 in terms of fractions we need to multiply and divide the number by 100:

(0.56 * 100)/100 = 56/100. Then we simplify the fraction by dividing the numerator and denominator by the common factor 2 as many times as possible:

56/100 = 28/50 = 14/25

The fraction 14/25 cannot be more simplified

7 0

3 years ago

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consider there are three machines. All of the machines can produce 1000 pins at a time. Therate of producing a faulty pin from M

blondinia [14]

Answer:

0.03333

Step-by-step explanation:

Given that there are three machines. All of the machines can produce 1000 pins at a time.

Chance for any machine is thus equaly likely = 1/3

The rate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%.

Machine I II III total

Faulty 0.10 0.20 0.05

Prob 0.3333 0.3333 0.3334 1

Faulty*prob 0.03333 0.06666 0.16665 0.26664

Thus probability that a produced pin will be faulty and it will be from the firstmachine

= 0.03333

6 0

2 years ago

A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accompl

nordsb [41]

Answer: Stratified sampling

Step-by-step explanation:

Stratified sampling is a random sampling method in which the population is divided into non-coinciding groups are called strata and a sample is picked out by some design within each stratum.

Given: A researcher wants to survey people from different age groups to analyze voting patterns.

Thus he will make different groups according to different ages to analyze voting patterns that are called stratum.

Thus, Stratified sampling best accomplish this goal.

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3 years ago

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10. Polygon WXYZ has vertices W(-1.5, 1.5),

vovikov84 [41]

Answer:

See explanation

Step-by-step explanation:

Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).

Find the slopes of all sides:

$WX:\ \dfrac{1.5-1.5}{6-(-1.5)}=\dfrac{0}{7.5}=0$ - horizontal line

$XY:\ \dfrac{-4.5-1.5}{6-6}=\dfrac{-6}{0}$ - slope undefined, so the line is vertical

$YZ:\ \dfrac{-4.5-(-4.5)}{-1.5-6}=\dfrac{0}{-7.5}=0$ - horizontal line

$ZW:\ \dfrac{1.5-(-4.5)}{-1.5-(-1.5)}=\dfrac{6}{0}$ - slope undefined, so the line is vertical

Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle

6 0

3 years ago

Please someone what is the total surface area of this pryamid

Dimas [21]

Answer:

$\large\boxed{C.\ (25+25\sqrt3)\ in^2}$

Step-by-step explanation:

We have the square and four equilateral triangles.

The formula of an area of a squre:

$A_S=a^2$

a - length of side

The formula of an area of an equilateral triangle:

$A_T=\dfrac{a^2\sqrt3}{4}$

a - length of side

Clculate the areas:

SQURE:

$A_S=x^2\ in^2$

TRIANGLE:

$A_T=\dfrac{x^2\sqrt3}{4}\ in^2$

The SURFACE AREA of a square pyramid:

$S.A.=A_S+4A_T\\\\S.A.=x^2+4\cdot\dfrac{x^2\sqrt3}{4}=x^2+x^2\sqrt3$

Put x = 5:

$S.A.=5^2+5^2\sqrt3=(25+25\sqrt3)\ in^2$

7 0

3 years ago