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N76 [4]
3 years ago
5

Find the value of each variable, y = Z=

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
ANSWER:
y = 119
z = 66

EXPLANATION:
z = 180° - 114° = 66°
y = 360° - (95° + 81° + 66°) = 119°

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In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink f
xxMikexx [17]

Answer:

Probability that the person preferred milk as his or her primary drink  = 0.3

Step-by-step explanation:

Given -

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is =  18 + 29 + 13 = 60

If a person is selected at random ,

The probability of person preferred milk = \frac{18}{60}

The probability of person preferred coffee = \frac{29}{60}

The probability of person preferred juice = \frac{13}{60}

Probability that the person preferred milk as his or her primary drink =

P ( milk ) = \mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}

    =   \frac{18}{60}  =  0.3

3 0
3 years ago
Suppose that only 65% of all drivers in a certain state wear a seat belt. a random sample of 80 drivers is selected. what is the
jonny [76]

Answer:

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

Step-by-step explanation:

The scenario presented can be modeled by a binomial model;

The probability of success is, p = 0.65

There are n = 80 independent trials

Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;

Pr(X > 42)

In this case we can use the normal approximation to the binomial model;

mu = n*p = 80(0.65) = 52

sigma^2 = n*p*(1-p) = 18.2

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

7 0
3 years ago
Angela and you are painting a room. Angela has 2 1/2 gallons of blue paint and Ryou has half as much white paint. It will take 2
GREYUIT [131]
Conversion from gallons to quarts

1 gallon = 4 quarts

Now,

Angela has 2 \frac{1}{2} gallons = 2\frac{1}{2} *4 = 10 quarts of blue paint

Ryou has 1/2 of what Angela has = 1/2*10 = 5 quarts of white paint.

Each wall requires 2 \frac{3}{4} of paint.
After coloring;
Blue colored walls = (10)/(2 \frac{3}{4}) = 3 walls with 7/11 quarts of paint remaining.
White colored walls = (5)/(2 \frac{3}{4}) = 1 wall with 9/11 quarts of paint remaining
6 0
3 years ago
In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
Paul [167]
A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves
y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

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20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables. 

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices. 

(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding. 
8 0
3 years ago
Simplify (-5) + (-4) + (7).<br> 0-2<br> 06<br> O<br> 8<br> 16
stich3 [128]

Answer:

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Step-by-step explanation:

The question is - 5 + - 4 + 7

You do addition first.

-4 + 7 = 3

So now we have - 5 + 3

-5 + 3 = - 2

5 0
3 years ago
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