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kobusy [5.1K]
3 years ago
7

The graph shows the functions f(x), p(x), and g(x):

Mathematics
1 answer:
Kruka [31]3 years ago
8 0
Two functions have equal values where their graphs cross.

A) The solution to the pair of equations
.. y = p(x)
.. y = f(x)
will be where the graphs intersect, at (x, y) = (-3, -3).


B) We already know that (-3, -3) is one solution to y=f(x). The graph also appears to go through the point (0, 0).


C) p(x) = g(x) where their graphs cross, at x = -6. Both functions have the value 1 for that value of x.
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(Right angle Trigonometry) help me solve for X please!
Vinvika [58]

Answer:

x = 52.0

Step-by-step explanation:

Reference angle = 68°

Length of side Opposite to reference angle = x

Adjacent length = 21

Apply the trigonometric function, TOA, which is given as:

Tan 68° = Opp/Adj

Substitute

Tan 68° = x/21

21 × Tan 68° = x

51.9768238 = x

x = 51.9768238 ≈ 52.0 (approximated to nearest tenth)

4 0
3 years ago
What is 621 divided by 7
ELEN [110]
Solution 

621 ÷ 7 = n

621 ÷ 7 = <span>88.7142857143
</span>
n = 88.7142857143 

Answer = 88.7142857143
Rounded = 88.7

3 0
3 years ago
Read 2 more answers
96 is 44 percent of what? Step by step
Elena-2011 [213]

Answer:

218.18

Step-by-step explanation:

To find what number 96 is 44% of is we can use the formula:

\frac{part}{whole} =\frac{percent}{100}

Just substitute 94 and 44 into the equation:

\frac{96}{x} =\frac{44}{100}

9600=44x\\218.1818...

Or rounded,

218.18

4 0
2 years ago
The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta
soldi70 [24.7K]

Answer:

a. P(x=0)=0.2967

b. P(x=1)=0.4444

c. P(x=2)=0.2219

d. P(x=3)=0.0369

Step-by-step explanation:

The variable X: "number of meals that exceed $50" can be modeled as a binomial random variable, with n=3 (the total number of meals) and p=0.333 (the probability that the chosen restaurant charges mor thena $50).

The probabilty p can be calculated dividing the amount of restaurants that are expected to charge more than $50 (5 restaurants)  by the total amount of restaurants from where we can pick (15 restaurants):

p=\dfrac{5}{15}=0.333

Then, we can model the probability that k meals cost more than $50 as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{3}{k} 0.333^{k} 0.667^{3-k}\\\\\\

a. We have to calculate P(x=0)

P(x=0) = \dbinom{3}{0} p^{0}(1-p)^{3}=1*1*0.2967=0.2967\\\\\\

b. We have to calculate P(x=1)

P(x=1) = \dbinom{3}{1} p^{1}(1-p)^{2}=3*0.333*0.4449=0.4444\\\\\\

c. We have to calcualte P(x=2)

P(x=2) = \dbinom{3}{2} p^{2}(1-p)^{1}=3*0.1109*0.667=0.2219\\\\\\

d. We have to calculate P(x=3)

P(x=3) = \dbinom{3}{3} p^{3}(1-p)^{0}=1*0.0369*1=0.0369\\\\\\

6 0
3 years ago
Matrix P has a dimensions of 3 X 4 and Matrix Q has the dimensions 4 X 5. Determine the dimensions of the matrix PQ if it is pos
blagie [28]

Answer: Definitely not B. Just took the test

Step-by-step explanation:

Attachment.

3 0
3 years ago
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