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

Which logarithm is equivalent to log3^10 – log3^2?

Use slope and y intercept to graph a line. y=2x-5

34 is a multiple of 4. true or false?

HELP ME WITH MATH PLZ !!!!

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

Use slope and y intercept to graph a line. y=2x-5

34 is a multiple of 4. true or false?

HELP ME WITH MATH PLZ !!!!

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

**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:**

**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. **

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

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

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:

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:

#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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

**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 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.

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:**