The weights for a population of North American raccoons have a bell-shaped frequency curve with a mean of about 12 pounds and a standard deviation of about 2.5 pounds. About 95% of the weights for individual raccoons in this population fall between what two values?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given that the weights for a population of North American raccoons have a bell-shaped frequency curve with a mean of about 12 pounds and a standard deviation of about 2.5 pounds

Since bell shaped is given we can assume that this follows a normal distribution symmetrical about the mean.

To find 95% two values we can use Z critical value for 95%

i.e. ±1.96

95% will lie between 12±1.96(2.5)

= 12±4.9

=(7.1, 16.9)

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72 raisin cookies sold of Ratio 9:1 to oatmeal cookies sold. How many cookies combined sold

Answers

•Find the amount of oatmeal cookies sold
Since the Ratio is 9:1
9=72 raisin cookies sold
1=? oatmeal cookies sold
Using cross multiplication
?=(72x1)/9=8
Hence, 8 oatmeal cookies were sold.
•Find the amount of combined cookies sold
72+8=80
So, a total of 80 cookies were sold.

Gallon of cleaner are on sale for 50% off the regular price of $3.18. a customer buys one gallon and the cashier $5.00 The customer change is

Answers

50% off $3.18 = 3.18 X .50 = 1.59

3.18 minus discount of 1.59 = 1.59

Now 5.00 - total cost of 1.59 = 3.41 in change

Patricia roller skates 0.50 kilometers, straight north to the library. Then she walks 0.25 kilometers to her friend's house, which is straight north of the library. What is Patricia's displacement?

Answers

The answer is 0.75 kilometers.

Displacement is the shortest distance between the initial and the final point. But, Patricia roller skates in the straight line, so her displacement is the distance between the initial and the final point:

0.50 km + 0.25 km = 0.75 km.

Therefore, Patricia's displacement is 0.75 kilometers.

The answer is: 0.75 km, north

A recipe that makes 7 servings calls for 1 1/6 cups of jucie.how many cups of jucie per serving?
a.) 1/6

b.) 1/7

c.) 7/6

d.) 6/7

Answers

$1 (1)/(6) = (6)/(6) + (1)/(6) = (7)/(6) \n Basically:1 (1)/(6) = (7)/(6) \n (7)/(6) / 7 \n (7)/(6) / (7)/(1) \n (7)/(6) * (1)/(7) \n (7*1)/(6*7) \n (7)/(42) \n (1)/(6)$
The answer is a.) 1/6 cup
Step One: Make 1 1/6 an improper fraction
Step Two: Write equation
Step Three: Make the whole number (7) a fraction by putting it over one
Step Four: Divide 7/6 by 7/1
Step Five: Slip 7/1 for the reciprocal, 1/7
Step Six: Multiply the two fractions
Step Seven: Simplify
Hope this helps!

The quadratic equation y=-0.5x+4x+10 models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. When will the ball hit the ground?

Answers

We have been given that the quadratic equation $y=-0.5x^2+4x+10$ models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. We are asked to find the time when ball will hit the ground.

The ball will hit the ground, when height of ball above ground will be 0. So we will equate our given quadratic equation with 0 and solve for x.

$-0.5x^2+4x+10=0$

We will use quadratic formula to solve our given problem.

$x=(-b\pm√(b^2-4ac))/(2a)$ , where

b = Coefficient of x term,

a = Coefficient of $x^2$ term,

c = Constant.

$x=(-4\pm√((-4)^2-4(-0.5)(10)))/(2(-0.5))$

$x=(-4\pm√((16+20))/(-1)$

$x=(-4\pm√(36))/(-1)$

$x=(-4\pm6)/(-1)$

$x=(-4+6)/(-1), x=(-4-6)/(-1)$

$x=(2)/(-1), x=(-10)/(-1)$

$x=-2,x=10$

Since time cannot be negative, therefore, the ball will hit the ground after 10 seconds.

Write an equation in slope-intercept form of the line through point P(6, –1) with slope 4.A. y = 4x – 25
B. y = 4x – 1
C. y + 1 = 4(x – 6)
D. y + 6 = 4(x – 1)