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2 years ago

Art walked 4.1 km in preparation for the Community Walk–a–thon. Bill walked 3600 m. How many more metres did Art walk than Bill?

Mathematics

2 answers:

WINSTONCH [101]2 years ago

7 0

Answer:

.5 more kilometres.

Step-by-step explanation:

3600 m = 3.6 km. 4.1 is .5 greater than 3.6

Lilit [14]2 years ago

3 0

500 m

First you need to convert 4.1 km into meters.
1 kilometer (kilo=1000) equals 1000 meters, so to convert 4.1 kilometers into meters you need to multiply 4.1 x 1000

4.1 x 1000 = 4,100
4.1 km = 4,100 m

To find out how many more meters art walked than Bill, you need to subtract the amount of meters Bill walked (3600 m) from the amount of meters Art walked (4100 m).

4,100 - 3,600 = 500

Art walked 500 more meters than Bill

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Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4), C(15, 1)

kvv77 [185]

Answer:

Pippa

Step-by-step explanation:

A square has

parallel opposite sides
perpendicular adjacent sides
perpendicular diagonals

A rhombus has

parallel opposite sides
non-perpendicular adjacent sides
perpendicular diagonals

Thus, we can identify the shape by comparing the slopes of the adjacent sides.

1. Draw the shape

See the graph below

2. Calculate the slope of AB

m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-1))/(9 - 5) = (4 + 1)/4 = 5/4

3. Calculate the slope of BC

If BC⟂AP, its slope should be -4/5 .

m = (y₂ - y₁)/(x₂ - x₁) = (1 - 4)/(15 - 9) =-3/6 = -1/2

½ ≠ -⅘

The two lines are not perpendicular.

Pippa is right. The shape is a rhombus.

5 0

2 years ago

You paid $36.20 for a sweater that originally cost $90.50. What percentage of the original price was the sweater on sale for?You

marin [14]

Answer:

32.761 %

Step-by-step explanation:

Percentage is any fraction or ration expressed as a fraction of 100.

Percentage is calculated using formula

If A has to be expressed as percentage of then it can be expressed as

A/B * 100 in percentage form .

For given problem price paid for sweater = $36.20

original price of sweater = $90.50

Problem is to express percentage of price for which sweater was on sale for.

It can be mathematically expressed as

what is 36.20% of 90.5

percentage of price for which sweater was on sale for = (price paid for sweater/original price of sweater ) * 100

It can be mathematically expressed as

what is 36.20% of 90.5

=> ($36.20/$90.50 )* 100= 32.761.

32.761 % of the original price sweater was on sale for.

For better understanding ,It can also be said that that if the original price of sweater had been $100, then you would have got it at $32.761 .

4 0

2 years ago

Assume that a fair die is rolled. The sample space is , 1, 2, 3, 4, 56, and all the outcomes are equally likely. Find P8. Expres

liraira [26]

Answer:

$P\left(8\right)=0$

Step-by-step explanation:

Assuming that a fair die is rolled.

The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.

Let X be the set of all possible outcomes. Let A be an outcome.

So, the probability that A occurs is:

$P\left(A\right)=\frac{|A|}{|X|}$

As the set of all possible outcomes of the roll of a single die is:

$X=\left\{1,2,3,4,5,6\right\}$

Observe that

$|X|=6$

Here

$|A|=0$ because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.

So, the probability must be zero.

In other words,

$P\left(A\right)=\frac{|A|}{|X|}$

$P\left(8\right)=\frac{0}{6}=0$

Therefore,

$P\left(8\right)=0$

5 0

2 years ago

A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam

tatuchka [14]

Answer: $(15.263,\ 17.537)$

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

$\overline{x}=16.40$

$s=4.00$

Since population standard deviation is unknown, so we use t-test.

Critical value for 95 percent confidence interval :

$t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010$

Confidence interval : $\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}$

$16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)$

Required 95% confidence interval : $(15.263,\ 17.537)$

8 0

2 years ago

Leslie has 8pencils. She has 9 fewer pencils than Michelle. How many pencils does Michelle have?

sammy [17]

Answer:

<u>Michelle has 17 pencils</u>

Step-by-step explanation:

Number of pencils Leslie has = 8 (She has 9 fewer pencils than Michelle)

Number of pencils Michelle has = 9 more than Leslie

How many pencils does Michelle have?

If Leslie has 8 and she has 9 fewer than Michelle, then:

Michelle has 9 more than Leslie

<u>Michelle has 9 + 8 = 17 pencils</u>

7 0

2 years ago