Answer:
43°
Step-by-step explanation:
The first thing you should do is make the equation. We should know that the sum of all the angles is 180. So it should look like this...
![49+88+x=180](https://tex.z-dn.net/?f=49%2B88%2Bx%3D180)
Combine like terms:
![137+x=180](https://tex.z-dn.net/?f=137%2Bx%3D180)
Subtract the 137 on both sides:
![x= 43](https://tex.z-dn.net/?f=x%3D%2043)
That's it the value of v is 43°.
Answer:
A; The cost is $0.07 per ![inch^{2}](https://tex.z-dn.net/?f=inch%5E%7B2%7D)
Step-by-step explanation:
In this question, we are asked to calculate the cost of the Chicago pizza per square inch rounded to the nearest cent.
Firstly, we will need to calculate the area occupied by the 14 inch medium pepperoni pizza made by Chicago pizza
Since the pizza is circular in shape, we use the formula for the area of a circle to calculate its area in square inch
Mathematically, the area of a circle is equal to π
. Here, our r is half the size of the pizza as the 14 inch represents the full length of the pizza across the center of the pizza = 7 inch
The area is thus = 22/7 × 7 × 7 = 154 ![inch^{2}](https://tex.z-dn.net/?f=inch%5E%7B2%7D)
Now, since the full pizza costs $10.49, the cost of the pizza per
is 10.49/154 = 0.068 = $0.07 per ![inch^{2}](https://tex.z-dn.net/?f=inch%5E%7B2%7D)
Y = -2x -5
why?
-2x is found since in the table the x value is 0 and the y = -2
-5 because you are adding -5 every time
0= -2
-1 = -7
-2 = -12
-3 = -17
The slope means that they raise $2 pet every box sold. You can find this by how many it increases (2) and how many it moves to the right (1) so $2 per 1 box
Answer:
c. (12.12, 18.48)
Step-by-step explanation:
Hello!
The study variable is X: number of times a racehorse is raced during its career.
The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.
To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:
X[bar] ± ![t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }](https://tex.z-dn.net/?f=t_%7Bn-1%3B1-%5Calpha%20%2F2%7D%20%2A%20%5Cfrac%7BS%7D%7B%5Csqrt%7B20%7D%20%7D)
![t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093](https://tex.z-dn.net/?f=t_%7Bn-1%3B1-%5Calpha%20%2F2%7D%20%3D%20t_%7B19%3B0.975%7D%3D%202.093)
[15.3 ± 2.093 *
]
[12.12; 18.48]
Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].
I hope it helps!