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svet-max [94.6K]
2 years ago
5

What is the measure of <QPU​

Mathematics
1 answer:
Ghella [55]2 years ago
7 0

Answer:

The correct answer is D. 110 degrees.

Step-by-step explanation:

Angles QPR and QPU are supplementary, which means that their sum adds up to a total of 180 degrees.  This fact lets us write the following equation:

<QPU + <QPR = 180

It is given by the diagram that the measure of <QPR is 70, so we can substitute this into the equation.

70 + <QPR = 180

Now, we can simply solve this equation to find the measure of <QPR by subtracting 70 from both sides.  This gives us,

<QPR = 110

Therefore, the correct answer is 110 degrees.

Hope this helps!

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The initial quantity at T= 0 is 1000z the quantity grows by a factor 3%. What is the quantity at T=5?
fgiga [73]

Answer:

1,159

Step-by-step explanation:

1000*(1.03) = 1159.274 at t = 5

8 0
3 years ago
In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p
hichkok12 [17]

Answer:

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

4 0
3 years ago
Which of the following is a solution of the equation -5x + 2 = -13: answers: x=-9, x=75 x=3 x=-3
slamgirl [31]

Answer:

x= 3

Step-by-step explanation:

1. -5(3) + 2 = -13      

2. -15 + 2 = -13         <em>A positive times a negative will always equal a negative</em>

3. -13 = -13         <em>Whenever you add anything to a negative number, the                    </em>

<em>                            number becomes smaller   </em>

                     Ex:  -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, ...........

                           <em>Although the number itself becomes smaller, its value    </em>

<em>                             becomes bigger       </em>

Hope this helps.

7 0
3 years ago
Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
3 years ago
Just answer the questions please
Evgesh-ka [11]

Answer:

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 2100*0.12=252 pound food they need to eat in each day

252*7=1764 pound in each month

7 0
3 years ago
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