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BaLLatris [955]
3 years ago
13

What would the missing value be?

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )

m = \frac{-5-6}{x-2} = \frac{-11}{x-2} , then

\frac{-11}{x-2} = - \frac{11}{7} ← numerators are equal, so equate the denominators

x - 2 = 7 ( add 2 to both sides )

x = 9

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Alla [95]

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6 0
3 years ago
Read 2 more answers
drug sniffing dogs must be 95% accurate in their responses because their handlers don't want them to miss durgs and also don't w
GenaCL600 [577]

Answer:

95% Confidence interval:  (0.8449,0.9951)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Number of times the dog is right, x = 46

\hat{p} = \dfrac{x}{n} = \dfrac{46}{50} = 0.92

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.92 \pm 1.96(\sqrt{\dfrac{0.92(1-0.92)}{50}})\\\\ = 0.92\pm 0.0751\\\\=(0.8449,0.9951)

(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.

7 0
3 years ago
What is the radian measure of the smallest angle formed by the hands of a clock at 7 o'clock?
netineya [11]
See the picture attached to better understand the problem
we know that
a full circle is a 360 degrees
divided in 12 equals parts-------> 360/12-------> 30 degrees each part

<span>the smallest angle formed by the hands of a clock at 7 o'clock has 5 parts
so
5*30</span>°------> 150°

convert to radian
pi radians---------> 180°
 x ---------------> 150°
x=150*pi/180--------> x=0.83*pi radians

the answer is
0.83*pi radians  or 2.62 radians

5 0
3 years ago
Write parametric equations of the line y=4x-5
Rasek [7]

Answer:

A set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

Step-by-step explanation:

To find a set of parametric equations for the line y = 4x - 5;

We can assign either variable x or y equal to the parameter t, in this case we can easily let x = t

We then substitute x = t in the original equation;

y = 4t - 5

Therefore, a set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

7 0
3 years ago
What is the independent and dependent variable? Whats the (x) and (y) axis?
Shtirlitz [24]

Answer:

x-axis(independent) = 1.5

y-axis(dependant) = 75ft

Step-by-step explanation:

An INDEPENDENT variable is the variable yourself can not change, in this case its time. The DEPENDANT variable is the variable that is changed to affect data you are solving for. Idk if this helps you at all to understand for future references but i hope it did!

6 0
3 years ago
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