A toddler takes off running down the sidewalk at 270 ft/min. One minute later, a worried mother runs after the child at 580 ft/min. After how many minutes will the mother overtake the toddler?

Answers

Answer 1
Answer: we know that in one minute the toddler is 2(270)=540 feet and mother is 580 so less than 1 minute

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The incorrect work of a student to solve an equation 2(y + 8) = 4y is shown below:Step 1: 2(y + 8) = 4y Step 2: 2y + 10 = 4y Step 3: 2y = 10 Step 4: y = 5 Which of the following explains how to correct Step 2 and shows the correct value of y? The equation should be y + 8 = 4y after division by 2; y = 4 The equation should be y + 8 = 4y after division by 2; y = 6 2 should be distributed as 2y + 16; y = 4 2 should be distributed as 2y + 16; y = 8

A proposed null hypothesis states that there is no difference in the population mean heights of two neighboring districts. The difference of the sample means is 10 cm, and the standard deviation of the difference of sample means is 6 cm. Which conclusion can we draw at the 68% confidence level?

Answers

Answer:

Explained

Step-by-step explanation:

Null hypothesis is something that states that there is no difference between the population means, while the alternative hypothesis states that there is difference between the two.

So, If the difference of the sample means is 10cm, and the standard deviation of the difference of sample means is 6 cm. Then  the population means of the two districts will be different according to the manual solution.

Answer:

The population means of the two districts are different.

Step-by-step explanation:

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the weights in pounds of 1111 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league? 186 229 240 257 187 221 309 293 257 274 221

Answers

Answer:

(a) Mean =243.0909

(b) Median = 240

In other words it is the middle value of the data arranged in order.

(c) Mode =  221  and 257

(d) Mid Range =   247.5

e)

Variance = 1578.5037

Standard Deviation = 39.730

Range = 309-186= 123

(e)  No the results are not  likely to be representative of all players in that​ sport's league because they are not similar.

Step-by-step explanation:

First arranging the data in ascending order

186 187 221 221 229 240 257 257  274  293    309

(a) Mean = Sum of observations/ No of observations

       = 186 + 187 + 221 +221 + 229 + 240 + 257 + 257 + 274 + 293 + 309 /11

= 2674/11=

= 243.0909

(b) Median for un grouped data is

Here n = 11 and n/2 = 11/2 is not an integer

Median = Results obtained by ([n/2] +1) player

                   = (11/2 +1) = 6th player in ordered data

                = 240

In other words it is the middle value of the data arranged in order.

(c) Mode = Most frequent values.

There are two modes : 221  and 257 . These both values occur repeatedly.

(d) Mid Range = Maximum Value + minimum value/ 2= 186+ 309/2=  247.5

Now we will find the variance and standard deviation

The variance is given by

s² =  (186-243.0909)²+ (187-243.0909)²+ (221-243.0909)²+ (221 -243.0909)²+(229-243.0909)²+ (240-243.0909)²+( 257-243.0909)²+ (257 -243.0909)²+ (274-243.0909)²+ ( 293-243.0909)²+    (309 -243.0909)²/11-1

s²=  3259.370 + 3146.139+ 488.008+ 488.008+ 198.553+ 9.554+ 193.463 + 193.463 + 955.372 +  2509.098 + 4344.009/10

s²= 15,785.037/10= 1578.5037

And Standard Deviation = s= √1578.5037= 39.730

Variance = 1578.5037

Standard Deviation = 39.730

Range = 309-186= 123

(e)  No the results are not  likely to be representative of all players in that​ sport's league because they are not similar.

A bakery offers a small circular cake with a diameter of 8 inches.It also offers a large circular cake with a diameter of 24 inches.Does the top of the large cake have three times the area of that the small cake?if not,how much greater is its area?Explain.

Answers

The difference in area between the large and small cakes is 128π square inches.

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

A = \pi * r^2

sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

\pi * ((d)/(2))^2 sq. units

We are given that;

A bakery offers a small circular cake with a diameter =8 inches

A large circular cake with a diameter = 24 inches

Now,

For the small cake, the diameter is 8 inches, so the area is A = (π/4) × 8^2 = 16π square inches.

For the large cake, the diameter is 24 inches, so the area is A = (π/4) × 24^2 = 144π square inches.

To compare the areas, you can divide them by each other:

(144π)/(16π) = 9

This means that the large cake has 9 times the area of the small cake, not 3 times. The difference is because when you increase the diameter by a factor of 3, you increase the radius by a factor of 3 as well, and then you square it in the formula. So the area increases by a factor of 3^2 = 9.

144π - 16π = 128π square inches.

Therefore, by the area of a circle the answer will be 128π square inches.

Learn more about area of a circle here:

brainly.com/question/13004063

#SPJ2

A=(pi)(radius^2)
radius=4 for small circular cake
radius=12 for large circular cake

Area of small circular cake=16pi
Area of big circular cake=144pi
144pi/16pi=9 times bigger than small circular cake.

NO, 9 TIMES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Please help! 100 points!

Answers

Answer:

D

Step-by-step explanation:

Secant is hypotenuse / adjacent, while cosine is adjacent / hypotenuse. In fact, secant = 1/cosine.

Here, we know that cos(θ) = 2/19, so sec(θ) = 1/(2/19) = 19/2.

The answer is thus D.

Answer:

D

Step-by-step explanation:

sec(theta) = 1/cos(theta)

= 1 ÷ 2/19

= 1 × 19/2

= 19/2

You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to order to have enough for 7 days?* 11 12 13 14

Answers

You first multiply 7*150 and that is 2100 bars of soaps you need to last 7 days. If there is 150 bars in each case you divide 2100 by 150 and you get 14?. You are using 14 cases for 7 day.

Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount. Emily says, "thirty percent and twenty percent make fifty percent so ur will cost $30. Is emy correct?

Answers

Answer: she is incorrect

Step-by-step explanation:

If Emily had a coupon for 20 percent off her purchase, this means that whatever she bought, the total amount would be reduced by 20%. She will be paying 80%

She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount.

This means that ordinarily,the amount she is meant to pay on the total goods she is buying is 30% lesser than $60. She will be paying

60 - (30/100 ×60)

60 - 0.3×60 = 60-18 = $42

Since she has a 20% coupon on total cost of goods bought, she would be paying

42 - (20/100 ×42)

42 - 0.2×42

= 42 - 8.4 = $33.6

Therefore,

If Emily says, "thirty percent and twenty percent make fifty percent so that her cost will be $30. She is incorrect. Her cost is $33.6

Answer:

she is incorrect.

Step-by-step explanation: