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3 years ago

(05.02 MC)

Mathematics

2 answers:

ella [17]3 years ago

6 0

The 2 angles combined form a right angle which equals 90 degrees.

Add the 2 angles to solve for x.

5x+15 +20 = 90

5x + 35 = 90

5x = 55

x = 55 / 5

x = 11

juin [17]3 years ago

5 0

Hello!

These two angles are complementary. Therefore, they add up to 90°. This gives us the equation below.

5x+15+20=90

5x+35=90

Let's subtract 35 from both sides.

5x=55

We divide both sides by 5.

x=11

Therefore, our answer is C) 11.

I hope this helps!

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Find the solution of y = -x - 3 for x = -2.

Neko [114]

Answer:

(-2,-1)

Step-by-step explanation:

y = -x - 3

you replace the x with the -2

y = -(-2) - 3

y=2-3

y=-1

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3 years ago

Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo

jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((e^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((e^(-λ)) λˣ)/ₓ! = (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0

4 years ago

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b

iragen [17]

The student made the mistake in Step 2.

It should be m∠o + m∠p = 180 (Supplementary angles)

If this is corrected, then, since m∠m + m∠n + m∠o = 180 from Step 1,

we have,

m∠m + m∠n + m∠o = m∠o + m∠p which is Step 3.

Cancelling m∠o both sides, we get,

m∠m + m∠n = m∠p which is Step 4.

7 0

4 years ago

At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5

larisa [96]

Answer:

a) $2.75

b) $2.2

c) Second tomato option is better value option.

Step-by-step explanation:

First option to buy tomatoes = $2.75 per pound

Second option to buy tomatoes:

To buy a box which is a 5 pound box and the price is $11.

To find:

a) Unit price for the first tomato option.

b) Unit price for the second tomato option.

c) Better value option on the basis of price.

Solution:

Let the consider the unit here to be a pound.

So, we will find the price of tomato per pound to find the unit price of tomato.

a) Unit price of the first tomato option is : $2.75 per pound

b) Unit price of the second tomato option:

Price for 5 pounds = $11

Dividing both sides with 5 to find the price of 1 pound or unit price.

Price for $\frac{5}{5}$ = 1 pound = $\frac{\$11}5 = \$2.2$

c) To find the better value option, we can compare the unit prices of the two tomato options.

Here, we have the two tomato options with unit prices as:

$2.75 and $2.2

Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.

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3 years ago

Find the area of the shape shown below.

PolarNik [594]

Answer: 256 units squared

Step-by-step explanation:

So basically you times 4*4*2*8.

8 0

3 years ago

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