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Arlecino [84]
3 years ago
15

Find x and y of the triangles

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

Answer:

X = 100

Y= 140

Step-by-step explanation:

The angle of y is same with 140, x u just need to 180= 2(180-140)+x

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The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under
Ann [662]

Answer:

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

Step-by-step explanation:

Data given and notation  

\bar X=1.20 represent the sample mean given

\sigma = 0.14 represent the population standard deviation

n=49 sample size  

\mu_o =1.25 represent the value that we want to test

t would represent the statistic (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1.25  

Alternative hypothesis:\mu < 1.25  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

5 0
3 years ago
Solve the system of equation below x+y+z=2 x-y+5z=6
mamaluj [8]
X + y + z = 2
x - y + 5z = 6

cancelando +y com -y:

x + z = 2*(-5)
x + 5z = 6

-5x -5z = -10
...x +5z = 6
---------------------
-4x = -4 *(-1)
4x = 4
x = 4/4
x = 1

x + z = 2
1 + z = 2
z = 2 - 1
z = 1

x + y + z = 2
1 + y + 1 = 2
2 + y = 2
y = 2 - 2
y = 0 

S: {x, y, z} = {1, 0, 1}


8 0
3 years ago
10 pink cards, 10 blue cards, and 10 yellow cards, each color-set labeled 1-10, are placed in a bucket. What is the probability
icang [17]

Answer:

0.00176

Step-by-step explanation:

Probability = 10/30 × 9/29 × 8/28 × 7/27 × 6/26

= 56/31668

8 0
3 years ago
What is the slope of the line shown in the graph?<br> A 3/2<br> B) 2/3<br> C) -3/4<br> D) -2/3
garik1379 [7]

Answer:

D.

Step-by-step explanation:

y-intercept is (0, 3)

x-intercept is (4.5, 0)

formula to find the slope from two points is

slope = m =  \frac{y2 - y1}{x2 - x1}  =  \frac{y1 - y2}{x1 - x2}  \\

then the slope of the line that crosses (0, 3) & (4.5, 0) is

m =  \frac{3 - 0}{0 - 4.5}  =  \frac{3}{ - 4.5}  =  -  \frac{3}{ \frac{9}{2} }  =  -  \frac{2}{3}

6 0
3 years ago
Read 2 more answers
If one bag of red grapes costs $2, how many bags can we buy with $18?
const2013 [10]
You would be able to get 9 bags of grapes.
2 * 9 = 18

Hope this helps!
8 0
3 years ago
Read 2 more answers
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