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3 years ago

There are 7 girls and 6 boys. Which ratio is equivalent?

Mathematics

1 answer:

PtichkaEL [24]3 years ago

7 0

Answer:

7 girls to 6 boys

Step-by-step explanation:

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In the figure below, BD bisects ∠ABC. What is the length of AB?

dimaraw [331]

Answer:

D. 12

Step-by-step explanation:

Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:

AB/AD = CB/CD

Substitute

AB/8 = 6/4

Cross multiply

AB*4 = 6*8

AB*4 = 48

AB = 48/4

AB = 12

3 0

3 years ago

Can someone please help me with math

DaniilM [7]

Answer:

Step-by-step explanation:

they want us to find the equation in slope intercept form

which is y= mx + b

where m = slope and b = y intercept

the slope is change in y over change in x

as y goes up 1 x goes up 1 so the slope is 1 or m=1

the y intercept is at point (0,1)

so the y intercept is 1

now we add it all together and get that the equation Is

y=x+1

8 0

3 years ago

Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough s

Xelga [282]

Answer:

Step-by-step explanation:

Complete Question:

Chapter 6, Section 1-D, Exercise 009 Is a Normal Distribution Appropriate? In each case below, is the sample size large enough so that the sample proportions follow a normal distribution?

a) n=600 p=0.2

b) n=20, p=0.4

if np=10 and npq=10 then the data follows normal distribution

a) np= 120,

q= 1-0.2= 0.8

npq= 600 ×0.2×0.4 = 48

Normal distribution is appropriate and sample size is large enough

b) np= 8

q= 1-0.4= 0.6

npq= 20 × 0.4×0.6= 4.8

sample size is not large enough so normal distribution is not appropriate.

4 0

3 years ago

A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di

kolbaska11 [484]

Answer: 586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

Inner diameter = 1.8 inches

⇒Inner radius :r = 0.9 in. (radius is half of diameter)

= 0.9 x (2.54) = 2.286 cm [∵ 1 in . = 2.54 cm]

Outer diameter = 2 inches

⇒Outer radius : R = 1 inch = 2.54 cm

Height : h = 5 feet = 5 x(30.48) = 152.4 cm [∵ 1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

$V=\pi(R^2-r^2)h$ , where R= outer radius , r= inner radius and h= height.

Now , the volume of metal in the conduit :

$V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)$

$V=(3.14)(6.4516-5.225796)(152.4)$

$V=(3.14)(1.225804)(152.4)$

$V=586.591342944\approx586.59\ cm^3$

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

5 0

3 years ago

List all the factors of the number 48.

Anni [7]

The answer would be 1,2,3,4,6,8,12,16,24,48

hope this helps!

4 0

3 years ago