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My name is Ann [436]
3 years ago
15

What is the length of the unlabeled side? A- 5 in B- 7 in C- 16 in D- 25 in

Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0
Pythagorean theorem
A^2 + 144 = 169
A^2 = 25
A = 5in.
lina2011 [118]3 years ago
7 0
We know that this is a right triangle. If a^2 + b^2 = c^2 and we know b and c then we just plug it in solve

a^2 + 144 = 169

169 - 144 = 25

The square root of 25 is 5

The answer is A) 5

*Brainliest Please ♡´・ᴗ・`♡
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ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval
SIZIF [17.4K]

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   0.748  <  p <  0.842      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is k =  159

Generally the sample proportion is mathematically represented as

               \^ p =  \frac{159}{200}

=>               \^ p =  0.795

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>     E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} }

=>     E = 0.04696

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.795  -0.04696  <  p <  0.795 + 0.04696

=>    0.748  <  p <  0.842      

3 0
3 years ago
John predicts the basketball team will score 68 points. If the basketball team
pav-90 [236]
The answer is i don’t know but am answering this for points ):
7 0
3 years ago
Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry
almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0
3 years ago
Which explains whether or not the function represents a direct variation?
s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

A(0,0) ------> the line passes through the origin

B(2,10)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=10/2=5

C(4,20)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=20/4=5

D(6,30)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=30/6=5

E(8,40)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=40/8=5

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

f(x)=5x

4 0
3 years ago
Read 2 more answers
Which similarity statement is true?
stepan [7]

9514 1404 393

Answer:

  (a)  ΔWZY ~ ΔWXZ ~ ΔZXY

Step-by-step explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

  ΔWXZ lists sides in order short leg (WX), long leg (XZ).

  ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

__

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

6 0
3 years ago
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