The members of a basketball team are selling T-shirts during spirit week. The cost is $20 for the design and $1.50 to print each T-shirt. The cost, y, to print x T-shirts is y=1.5x+20. Interpret the slope and the y-intercept.

Answer:

a) 0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.

b) 0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.

c) 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The collagen amount was found to be normally distributed with a mean of 65 and standard deviation of 7.7 grams per mililiter.

This means that [tex]\mu = 65, \sigma = 7.7[/tex]

a. What is the probability that the amount of collagen is greater than 60 grams per.

This is 1 subtracted by the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 65}{7.7}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a pvalue of 0.2578

0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.

b. What is the probability that the amount of collagen is less than 90 grams per.

This is the pvalue of Z when X = 90.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{90 - 65}{7.7}[/tex]

[tex]Z = 3.25[/tex]

[tex]Z = 3.25[/tex] has a pvalue of 0.9994

0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.

c. What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean?

Between Z = 1 and Z = -1, so the proportion is the pvalue of Z = 1 subtracted by the pvalue of Z = -1

Z = 1 has a pvalue of 0.8413

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean

Answer:

t = 0.85 s

Step-by-step explanation:

Given that,

The speed of a car, v = 40 mph = 17.8816 m/s

Distance, d = 50 feet = 15.24 m

Let the time be t. The formula for speed is given by distance divided by time. So,

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{15.24 }{17.8816 }\\\\t=0.85\ s[/tex]

So, the required time is 0.85 s.

Answer:

the answer is 134 hope this helps.

Answer: 47°

Step-by-step explanation:

(x + 2)° + (x - 6)° = 90°

x + 2 + x - 6 = 90

2x - 4 = 90

2x - 4 + 4 = 90 + 4

2x = 94

[tex]\frac{2x}{2} = \frac{94}{2}[/tex]

x = 47°

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

Answer:

Step-by-step explanation:

Answer:

Year 1 = $196,000

Year 2= $156,800

Year 3= $125,440

Step-by-step explanation:

$980,000 x 20 % = $196,000

Net book value

$980,000 - $196,000 = $784,000 (to be used as base for year 2)

Year 2

$784,000 x 20% = $156,800

Net book value

$784,000 - 156,800 = $627,200

Year 3

$627,200 x 20% = $125,440

Net book value

$627,200 - $125,440 = $501,760

*Salvage value is ignored in computing the yearly depreciation expense under double-declining-balance method. The reason of it is that, it will take longer to depreciate an asset compare to it’s useful life if we deduct salvage value from original cost in depreciating an asset.

Answer:

[tex]\huge\boxed{13}[/tex]

Step-by-step explanation:

= 2k - x

Given that k = 9, x = 5

= 2(9) - 5

= 18 - 5

= 13

[tex]\rule[225]{225}{2}[/tex]

Hope his helped!

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

Slope is -2

Step-by-step explanation:

Answer:

1090 in²

Step-by-step explanation:

The surface area of the two cube = 7x7x6 + 13x13x6 = 1308 in²

But noted that there are overlapping of the two cubes, thus we need to minus 7x7 in² from the answer. Also, we need to minus 13x13 from the answer as the bottom face of the larger prism do not require staining.

∴The required surface area is 1090 in²

The volume of the small cube and large cube will be 2540 in³.

Suppose that: The side length of the considered cube is L units. Then, we get:

Volume of that cube = L³ cubic units.

The edge length of the small cube is 7 in.

The edge length of the large cube is 13 in.

Then the volume of the small cube will be

Volume = 7³

Volume = 343 in.³

Then the volume of the large cube will be

Volume = 13³

Volume = 2197 in.³

Then the volume of the small cube and large cube will be

Volume = 2197 + 343

Volume = 2540 in.³

More about the volume of the cube link is given below.

https://brainly.com/question/26136041

#SPJ2

Answer:

18.33

Step-by-step explanation:

Answer:

Step-by-step explanation:

Quartile means fourth

break up the numbers in to 4 groups, start by finding the middle numbers and split the numbers in half.  Then split both of those two groups in half to find the quartiles.

Lower quartile is the group with the smallest numbers.

Median is the middle number (of the whole group).

Upper quartile is the group with the largest numbers.

Answer

I think they are things that you have to follow in order to work with the exponents

Answer:

4) 180

6)194.4

7) 691.2

8) 8.1

Step-by-step explanation:

I think....srry if im wrong

Answer:

D. x = 10, m<TRS = 60°

Step-by-step explanation:

m<QRS = 122° (given)

m<QRT = (7x - 8)° (given)

m<TRS = (6x)° (given)

m<QRT + m<TRS = m<QRS (angle addition postulate)

(7x - 8)° + (6x)° = 122° (substitution)

Solve for x

7x - 8 + 6x = 122

Add like terms

13x - 8 = 122

13x = 122 + 8

13x = 130

x = 130/13

x = 10

✔️m<TRS = (6x)°

Plug in the value of x

m<TRS = (6*10)° = 60°

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

Answer:

ucgr4ychch379c

Step-by-step explanation:

Answer: 13/30

Step-by-step explanation:

8/15 -1/10 = (2×8)/(2×15) - (3×1)/(3×10) = 16/30 - 3/30 = (16-3)/30 = 13/30

Answer:

13/30

Step-by-step explanation:

8/15 - 1/10 (first find a common denominator which can be 30 for example)

Multiply numerator and demomiator

16/30 (x2) - 3/30 (x3) =13/30.

Answer:

i think c

i'm not sure tho

Step-by-step explanation:

Answer:

It will take him about 13 houses to sell the 5 candy bars.

Pat has an 18% chance of selling his last candy in the 11th house.

Step-by-step explanation:

Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:

5 / 0.40 = X

12.5 = X

So, it will take him about 13 houses to sell the 5 candy bars.

5/11 = X

0.45 = X

0.45 x 0.4 = 0.18

Thus, Pat has an 18% chance of selling his last candy in the 11th house.

Answer:

It is a right angle triangle.

Step-by-step explanation:

Use the pythagoras theorem. c^2 = a^2 + b^2.

5^2 = 4^2 + 3^2

25 = 16 + 9

25 = 25

Answer:

x<1

Step-by-step explanation:

Treat it like a normal equation

Distribute: -3x-1>-7+3x

Isolate x: -6x>-7+1

Because we are dividing by a negative number, we need to flip the sign

x<1

Answer:

0, -1

Step-by-step explanation:

1. Plug in for 5:

-(15 + 1) > -7 + 15

-16 > 8 (FALSE)

2. Plug in for 1

-(3 + 1) > -7 + 3

-4 > -4 (FALSE, they are equal)

3. Plug in for 0

-(0 + 1) > -7 + 3(0)

-1 > -7 (TRUE)

4. Plug in for -1

-(-3 + 1) > -7 - 3

-(-2) > -10

2 > -10 (TRUE)

5. Plug in for 20

-(60 + 1) > -7 + 60

-66 > 53 (FALSE)

6. Plug in for -32

-(96 + 1) > -7 + 96

-97 > 89 (FALSE)

You can find the answer by just plugging in for x. It's very easy and the rest is just addition and multiplication, so please put some effort. Hope this helps! :)

Answer:

20=0+5x

x=20/5

x=4

x=4

x=4

Answer:

exact form:

x=0, 1/2

decimal form:

x=0, 0.5

Answer:

they are perpendicular. If you want to check, go on desmos and put both equations there.

Answer:

45 degrees

Step-by-step explanation:

DBC: 180 - 135

DBC: 45 degrees

Hope that helps!