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3 years ago

PLEASE HELP ME WITH THIS GEOMETRY HW!! Let me know if I got my answers right and please help me with the blank ones

Mathematics

1 answer:

artcher [175]3 years ago

8 0

Step-by-step explanation:

Your answers for 1 and 2 are correct. MN and LN are both radii of the circle, and therefore equal. And NK can be found using Pythagorean theorem.

To find LP (and PM), we can use similar triangles:

LN / NK = LP / LK

10 / 26 = LP / 24

LP ≈ 9.23

PM ≈ 9.23

LM ≈ 2 × 9.23 = 18.46

To find NP, we can again use similar triangles.

NP / NL = NL / NK

NP / 10 = 10 / 26

NP ≈ 3.85

NQ is a radius of the circle, so it is equal to 10. PQ is therefore:

PQ ≈ 10 − 3.85 = 6.15

As you found, QK = 26 − 10 = 16.

Before we find LR, let's find RK using similar triangles.

RK / QK = NK / LK

RK / 16 = 26 / 24

RK ≈ 17.33

LR ≈ 24 − 17.33 = 6.67

As you found, MK = 24.

And finally, MS = LR ≈ 6.67.

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A television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Angelina_Jolie [31]

Answer: a)2206 b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

b) If prior population proportion (p) is unknown.

$n=0.25(\dfrac{z_{c}}{E})^2$

where, ${z_{c}$ is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who "follow professional football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2205.4656\approx2206$ [Rounded to the next whole number.]

∴ The sample size is 2206.

b) Proportion of citizens who "follow professional football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=0.25(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2209$

∴ The sample size is 2209.

8 0

3 years ago

One month, ruby worked 6 more hours than Issac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 126 hour

garik1379 [7]

Ruby's hours will represent x+6
Svetlana's hours will represent 4(x+6)
Issac will represent x.

The equation would read:
x+(x+6)+(4(x+6))=126
x+x+6+4x+24=126
6x+30=126
Subtract 30 from both sides.
6x=96
Divide 6 on both sides to get x by itself.
x=16

So:
Issac worked 16 hours
Ruby worked 22 hours
Svetlana worked 88 hours.

To check your answer, plug in the values:
16+22+88=126
126=126

Hope this helps.

8 0

3 years ago

Which is a greater number the mass of a cat in grams or the mass of a cat in kilograms

dem82 [27]

The mass of a cat in grams is greater because in 1 gram=0.001 kilograms

6 0

3 years ago

Simplify the expression. A. B. C. D.

ira [324]

Answer:

Step-by-step explanation:

8 0

3 years ago

Please help me !! Giving brainliest!!

Neporo4naja [7]

Answer:

O 4th option : (-4, -2)

Step-by-step explanation:

⇒ 9x - 9y = -18

⇒ -6x + 9y = 6

3x = -12
x = -4

9(-4) - 9y = -18
-36 - 9y = -18
-9y = 18
y = -2

⇒ (x , y)

⇒ (-4, -2)

3 0

2 years ago

Read 2 more answers

PLEASE HELP ME WITH THIS GEOMETRY HW!! Let me know if I got my answers right and please help me with the blank ones​

PLEASE HELP ME WITH THIS GEOMETRY HW!! Let me know if I got my answers right and please help me with the blank ones