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3 years ago

James has saved $200 to purchase

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

5 0

Yes, 50% of $200 i’d $100 so the shoes and the knee pads combined are $90. Which is below the 50% mark.

frozen [14]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

First, we need to know what 50% of 200 is. Well, 50% basically is just another way to say half of.

So, what is half of 200?

Well, if we split 200 into 2 equal parts, we get 100, so 100 is half of 200.

So, we know that James wants to spend less than $100 on skateboarding shoes and knee pads.

To find out if he can spend less than 100 dollars, we have to add up the prices of the shoes and knee pads, and see if it is less than 100.

Knee pads cost $30

Shoes cost $60

So, we add the price of $60 to the price of $30

30 + 60 = 90

That means it costs $90 to buy shoes and knee pads

90 is less than 100, so he is able to spend less than 50% of his savings on skateboarding shoes and knee pads.

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What is the probability of not rolling a sum of 5 on a pair of dice ??

natali 33 [55]

10/12 that should be a correct answer :)

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4 years ago

Graph the equation. (x + 3)2 + (y + 2)2 = 16

Sati [7]

okay well first you should put it in slope-intercept form aka y = mx + b

but you have simplify everything first

2(x + 3) + 2(y + 2) = 16

2x + 3 + 2y + 4 = 16

2x + 2y + 7 = 16

-7 -7

2x + 2y = 9

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2y = -2x + 9

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y = -x + 4.5

so now in a graph it should look like this:

3 0

3 years ago

About 1.2 million people live in a region with a 6-mile radius what is the population destiny in people per square mile

Paladinen [302]

Answer:

10616 people per square mile

Step-by-step explanation:

No. of people living in the region = 1.2 million

Radius of the area = 6 mile

Since radius of region is given, area of can be calculated by using formula to get area of circle which is $\pi r^2$ where r is radius of circle.

the value of pie is 3.14 which will be used in the calculation

Area of region

$\pi r^2 \\=> 3.14 * 6^2\\=> 113.04$

population density of any place is calculated by dividing the total population of region with area of the region

mathematically it can be written as

population density of any place = the total population of region / area of the region

substituting the value of total population of region with 1.2 million and area of the region as calculated 113.04 square mile we have

population density of any place = 1.2 million/113.04 square mile

= 0.0106157113 million / square mile

Since one million is equal to 1,000,000

0.0106157113 million will be equal to 0.0106157113 * 1,000,000

= 10615.7113

rounding 10615.7113 nearest to unit value, it will be 10616.

Therefore, population density is 10616 people per square mile.

3 0

4 years ago

Solve: 3/(m-4)+1/(3(m-4))=6/m <br><br> help please thank you and show work

Veseljchak [2.6K]

$\frac{3}{m-4} + \frac{1}{3(m-4)} = \frac{6}{m}$
$3m+ \frac{1m}{3}=6(m-4)$
$\frac{10}{3} m=6m-24$
$\frac{-8}{3} m = -24$
$m=9$

5 0

4 years ago

a normal distribution has a mean of 56 and a standard deviation of 8. Find the percentage of data values that are in the given i

vekshin1

Answer:

12) Between 40 and 64 = 0.815

13) Between 32 and 40 = 0.0235

14) Between 56 and 64 = 0.34

15) At most 56 = 0.515

16) At least 72 = 0.025

17) At most 64 = 0.855

Explanation:

To answer this, we will convert each of the values into their standardized form to make this easier.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ

x = Each value

μ = Mean = 56

σ = Standard deviation = 8

12) Between 40 and 64

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

For 64

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

So,

Between 40 and 64 = Between -2 and 1

From the curve, noting that the central point is the mean, with standard score of 0, the lines before it move in step of 1 standard deviation towards the negative side, that is, -1, -2, etc. And the lines before the central point move towards the positive side, that is, 1, 2, 3, etc.

So,

Between -2 and 1 = 0.135 + 0.34 + 0.34 = 0.815

13) Between 32 and 40

For 32,

z = (x - μ)/σ = (32 - 56)/8 = (-24/8) = -3

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

So,

Between 32 and 40 = Between -3 and -2 = 0.0235

14) Between 56 and 64

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

Between 56 and 64 = Between 0 and 1 = 0.34

15) At most 56

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

At most 56 = At most 0 = 0.0015 + 0.0235 + 0.15 + 0.34 = 0.515

All the regions before z = 0)

16) At least 72

For 72,

z = (x - μ)/σ = (72 - 56)/8 = (16/8) = 2

At least 72 = At least 2 = 0.0235 + 0.0015 = 0.025

(All the regions from z = 2 to the end)

17) At most 64

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

At most 64 = At most 1 = 0.0015 + 0.0235 + 0.15 + 0.34 + 0.34 = 0.855

(All the regions before z = 1)

Hope this Helps!!!

4 0

3 years ago