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notka56 [123]
1 year ago
8

Adalyn uses 1/5 cup of blue paint for every 2/5 cup of red paint to make purple paint. Enter the number of cups of blue paint Ad

alyn uses for 1 cup of red paint.
Mathematics
1 answer:
ipn [44]1 year ago
7 0

Given that;

Adalyn uses 1/5 cup of blue paint for every 2/5 cup of red paint to make purple paint.

\frac{1}{5}\text{ cups of blue paint }\rightarrow\frac{2}{5}\text{ cups of red paint}

For 1 cup of red paint, the amount of blue paints Adalyn will use is;

\frac{1}{5}\text{ cups of blue paint }\rightarrow\frac{2}{5}\text{ cups of red paint}

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3.An increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1). If this funct
lakkis [162]

Answer:

3.

C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])

4.

B. 6

5.

A. (-[infinity], 3)

Step-by-step explanation:

The Linear function has one independent and one dependent variable. The value of dependent variable can be found by taking the equation equals to 0. The domain function is set to analyse the range. The range can be set as -1 to 1. Any number between this is acceptable but outside this is not considered in the domain.

7 0
3 years ago
Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.) State the random varia
coldgirl [10]

Answer:

The answer to each point is below

Step-by-step explanation:

We will solve point by point:

a)  We have to:

Random variable X = number of heads

Let, H => heads, T => tails

b) We have that the combinations are

TTT, TTH, THT, THH, HTT, HTH, HHT, HHH

Number of Heads (X)  0     1      2     3

Probability (P)             1/8   3/8  3/8   1/8

c) attached the histogram.

d)  We have the following:

Mean = E (X) = 0 * 1/8 + 1 * 3/8 + 2 * 3/8 + 3 * 1/8

m = 1.5

The mean is 1.5

e) E (X ^ 2) = 0 * 1/8 + 12 * 3/8 + 22 * 3/8 + 32 * 1/8 = 3

Variance = E (X ^ 2) - (E (X)) ^ 2

Var = 3 - (1.5) ^ 2

Var = 0.75

The variance is 0.75

f) standard deviation = (Var) ^ (1/2) = (0.75) ^ (1/2) = 0.866

sd = 0.866

the standard deviation is 0.866

g) P (2 or more heads) = 3/8 + 1/8 = 0.5

The probability is 50%

h)  P (two heads) = 3/8 = 0.375

It is likely that out of 8 times of 3 flips, 3 times we can observe two heads out of 3, therefore it is not unusual.

6 0
3 years ago
Th<br> Write an<br> explicit formula for<br> ans<br> then<br> term of the sequence 40,50,60, ....
kenny6666 [7]
<h3>Answer:   a_n = 10n+30</h3>

n starts at 1, and n is a positive whole number (1,2,3,...)

======================================================

Explanation:

The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.

--------

a1 = 40 = first term

d = 10 = common difference

a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\

is the general nth term of this arithmetic sequence

Plug in n = 1 and you should get a_1 = 40

Plug in n = 2 and you should get a_2 = 50

and so on

6 0
4 years ago
Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len
nataly862011 [7]

Answer:

The length of the field on the drawing is 55 cm.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field.

Using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on drawing.

Let the length of the field on drawing be x.

As given 0.5 cm is equivalent to 1 m.

Thus, x is equivalent to 110 m.

Now, to get the length of the field on drawing by using cross multiplication method:

\frac{0.5}{1} =\frac{x}{110}

<em>By cross multiplying we get:</em>

⇒ 55=x

⇒ x=55

Therefore, the length of the field on the drawing is 55 cm.

8 0
3 years ago
The sum of fifteen and six times a number t is eighty one what is the number
yKpoI14uk [10]

Answer: t=11 :))


Step-by-step explanation:

15+6t=81

6t=81-15

6t=66

6t/6=66/6

t=11

7 0
3 years ago
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