If m R = 29, what is m O? The figure is not drawn to scale


A. 29

B. 61

C. 151

D. 58

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Answer: 7 miles

Step-by-step explanation:

The points for Tom's house (4, 2) and the store (-3, 2) are on the same level; they are on the same horizontal line 2 units above the x-axis.

The distance between the points is therefor the difference between the x coordinates.

4 - (-3) = 7

You can also just count the spaces between the points!

Answer:22

Step-by-step explanation:

Step-by-step explanation:

x/3-2<4

plus 2 on both sides

x/3<6

times 3 on both sides

x<18

(Not entirely sure to be honest. but it could be right) :))

Answer:

B) 544in

Step-by-step explanation:

The area for the front triangle is 48in. So the back triangle is also 48in.

The area for the side rectangles are each 140in.

And the area for the bottom rectangle is 168in.

Add all the values together: 48+48+140+140+168=544

Hope this makes sense...?

Answer:

b. you sold 17

c. your friend sold 25

Step-by-step explanation:

you=y your friend=x

y=x-8

42=x +y

42=x+(x-8)

42=x+x-8

42=2x-8

50=2x

25=x

Use x to solve for y...

y=25-8

y=17

Answer:

So i got 208 but to the nearest tenth will be 210 hope it helps

Step-by-step explanation:

Answer:

345 calories

Step-by-step explanation:

The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.

57.5 x 6 = 345 calories

Answer:

It depends on the spinner and how many of each color spaces are on it.

Step-by-step explanation:

A favorable outcome means an outcome that matches your criteria.

Example: You spin a spinner with 10 spaces. 3 blue, 2 red, 3 green, 2 yellow.

If you spin the spinner once, there are 3 favorable outcomes (remember a favorable outcome means landing on blue in this case).

Spinning the spinner twice would lead to at least 100 outcomes, 9 of which are favorable.

Answer:

B. y = 3x - 14

Answer:

X = 33.3 percent

Step-by-step explanation:

Sin B = b / c

Thus the correct answer is the last option.

( b over c )

Answer:

8. 8/9 is not the multiplicative inverse of –1⅛

9. 0.3 is the multiplicative inverse of 3⅓

Step-by-step explanation:

To answer the above questions, we must understand the meaning of multiplicative inverse. This is illustrated below:

Let y be the number.

The multiplicative inverse of y denoted by y¯¹ (or 1/y) when multiplied with y will give an identity of 1 i.e

y × y¯¹ = 1

Or

y × 1/y = 1

Now, let us answer the questions given above by calculating the multiplicative inverse.

8. The number (y) = –1⅛ = –9/8

Multiplicative inverse (y¯¹) =?

y × y¯¹ = 1

–9/8 × y¯¹ = 1

Divide both side by –9/8

y¯¹ = 1 ÷ –9/8

y¯¹ = 1 × –8/9

y¯¹ = –8/9

Thus, 8/9 is not the multiplicative inverse of –1⅛

9. The number (y) = 3⅓ = 10/3

Multiplicative inverse (y¯¹) =?

y × y¯¹ = 1

10/3 × y¯¹ = 1

Divide both side by 10/3

y¯¹ = 1 ÷ 10/3

y¯¹ = 1 × 3/10

y¯¹ = 3/10

y¯¹ = 0.3

Thus, 0.3 is the multiplicative inverse of 3⅓.

Answer:

C-C-B-D

Step-by-step explanation:

Hope this helps and look out for people trying to take your points!

Answer:

number 3 will be right

Step-by-step explanation:

The correct statement is : y=2x+9

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The linear equation is y=2x-4

Now the equation y=2x+9

equating both linear equations are

2x-4=2x+9

-4=9 which is not possible

Thus the incorrect equation that gives no solution is y=2x+9

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ6

Answer:

[tex](x + 2)^2 + (y + 5)^2 = 1[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center: (−2, −5); radius= 1

This means that [tex]x_0 = -2, y_0 = -5, r = 1[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-2))^2 + (y - (-5))^2 = 1^2[/tex]

[tex](x + 2)^2 + (y + 5)^2 = 1[/tex]

This is the equation of the circle.

Answer:

The first one is D and the second one is B

Step-by-step explanation:

The first is D because the volume of a cylinder is v = π (pi) times the radius squared times the height of the cylinder.

so (π)(16^2)(7) =5629.73 ft^3

Then 1 ft^3 is = 7.5 gallons of water, so you multiple 5629.73 by 7.5 and round. Which gets you 42223

Answer:

Step-by-step explanation:

part A= 34

part b=15 inches

part c= 3 1/3 feet

9514 1404 393

Answer:

  cot(θ) = 4/5

Step-by-step explanation:

In the polar/rectangular coordinate representation (x, y) ⇔ (r; θ), we know that ...

  (x, y) = (r·cos(θ), r·sin(θ))

From the various trig definitions and identities, we also know that ...

  cot(θ) = cos(θ)/sin(θ) = (x/r)/(y/r) = x/y

For the given (x, y) = (-4, -5), the cotangent is ...

  cot(θ) = -4/-5 = 4/5

Answer:

Octopus Location: 0

Step-by-step explanation:

If the octopus was swimming 3 ft below the surface, it's considered -3.

The octopus then swam up 3 feet, so we add 3 to the -3 from the previous statement.

-3 + 3 = 0

Answer: I believe its all of them...

Step-by-step explanation:

Answer:

that is a trapezoid.if it were a rectangle it would have four sides but not equal if it was a square it would have four sides but equal.a parallelogram it would be seen somehow slopy and a rhombus too.so that is a trapezoid.

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

Answer:

5ft

Step-by-step explanation:

r = √v/πh

plug in known values

r= √628/ (3.14) 8

simplify

r= √628/ 25.12

r= √25

r = 5ft

Answer:

$7,600

Step-by-step explanation:

Answer:

Step-by-step explanation:

So we'll take the ratio of  3:8  to mean  3 to 8   ,  which is 11 total parts.

since we know that part, and we can see that the x coordinate goes from -15 to 7, which is a total  of 22  and that y goes from 18 to 7, which is a total of 11 then we know that  we can just break up each into their 3:8 ratios

3:8=11 for the y component

6:16=22 for the x component

so subtract 3 from the B point for the y or add 3 to the A point , either works here,   Let's go from B so y = 10 (7+3)  and x = 1  (7-6)

So a point at (1,10) will be on the line and at a ratio of 3:8  :)

Answer:

The answer is

1375ft3

Step-by-step explanation:

O s

Step-by-step explanation:

The first fraction has the smallest value

Answer:

its 10

Step-by-step explanation:

add the numbers, 4 and 6 where you'll get 10

Answer:

25

Step-by-step explanation:

25

Well the amount of kids on the bus is 25 left but I don't know how old the buss drivers is