MATHEMATICS HIGH SCHOOL

Which fraction converts to a terminating decimal number?a.) 1/6
b.) 2/9
c.) 3/8
d.) 4/7

Answers

Answer 1

Answer:

Answer: The correct option is (C) $(3)/(8).$

Step-by-step explanation: We are given to select the fraction that converts to a terminating decimal number.

(a) The first fraction is $(1)/(6).$

We have

$(1)/(6)=0.16666...$

Since this decimal is non-terminating, so this option is NOT correct.

(b) The second fraction is $(2)/(9).$

We have

$(2)/(9)=0.2222...$

Since this fraction is non-terminating, so this option is NOT correct.

(c) The second fraction is $(3)/(8).$

We have

$(2)/(9)=0.375.$

Since this fraction is terminating, so this option is CORRECT.

(d) The second fraction is $(4)/(7).$

We have

$(4)/(7)=0.5714...$

Since this fraction is non-terminating, so this option is NOT correct.

Thus, option (C) is CORRECT.

Answer 2

Answer: terminating decimal...a decimal that ends
1/6 = 1.66 (with a line over the 66 because it does not end)
2/9 = 0.22 (with a line over the 22 because it does not end)
3/8 = 0.375
4/7 = 0.571428 (with a line over 571428 because it does not end)

so ur answer is : 3/8

:)

PLSSSSSSSSSSS HEEEEEELP????The mean of a set of normally distributed data is 600 with a standard deviation of 20. What percent of the data is between 580 and 620?

Answers

Answer:

The percentage of the data between 580 and 620 is 68.26 %

Step-by-step explanation:

Given,

Mean, $\mu$ = 600,

Standard deviation, $\sigma$ = 20,

Using the equation,

$z-score=(x-\mu)/(\sigma)$

Z-score for the data 580 = $(580-600)/(20)$

$=(-20)/(20)$

$=-1$

While, the z-score for the data 620 = $(620-600)/(20)$

$=(20)/(20)$

$=1$

Using normal distribution table,

P(580 < z) = 0.1587

Also, P(620 > z) = 0.8413

Hence, the percent of the data is between 580 and 620 = P(620 > z) - P(580 < z)

= 0.8413 - 0.1587

= 0.6826

= 68.26 %

z = (X-Mean)/SD
z1 = (580-600)/20 = - 1
z2 = (620-600)/20 = + 1
According to the Empirical Rule 68-95-99.7
Mean +/- 1*SD covers 68% of the values
Therefore, required percent is 68%
hopes this help :) :D :)

HURRY Am I correct is it reduction or enlightenment will mark brainlest!
I picked reduction

Answers

Answer:To determine if the dashed triangle is a dilation image of the solid triangle with the center at the origin, and whether it is an enlargement or a reduction, we need to compare the corresponding side lengths of the triangles.

Given that the dashed triangle has vertices A'(-8, -12), B'(8, 12), and D'(-4, 16), let's calculate the side lengths of the solid triangle and the dashed triangle.

1. Solid triangle side lengths:

- Side AB: Distance between A(4, 6) and B(-4, -6)

AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((-4 - 4)^2 + (-6 - 6)^2)

= sqrt((-8)^2 + (-12)^2)

= sqrt(64 + 144)

= sqrt(208)

2. Dashed triangle side lengths:

- Side A'B': Distance between A'(-8, -12) and B'(8, 12)

A'B' = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((8 - (-8))^2 + (12 - (-12))^2)

= sqrt((16)^2 + (24)^2)

= sqrt(256 + 576)

= sqrt(832)

Comparing the side lengths, we have sqrt(832) for the dashed triangle and sqrt(208) for the solid triangle.

Since sqrt(832) is greater than sqrt(208), this means the dashed triangle is larger than the solid triangle.

Therefore, the dashed triangle is an enlargement.

The correct answer is "enlargement."

Please let me know if there's anything else I can help you with.

Step-by-step explanation:

Is 2:3 abd 4:6 equivalent ratios

Answers

Yes they are. You can simplify 4:6 by dividing by 2 and get 2:3.

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of elevation of the ramp be?

Answers

The ladder that extends from the floor to the storeroom makes a right triangle. The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees.

Answer:

30 degrees

Step-by-step explanation:

because i said so

Choose the equation below that represents the line that passes through the point (7,-2) and has a slope of -3. A.) y - 2 = -3(x+7)
B.) y + 7 = -3 (x-2)
C.) y + 2 = -3 (x-7)
D.) y - 7 = -3 (x+2)