Answer:
Step-by-step explanation:
Solution by substitution method
3x+5y=7
and 4x-y=5
Suppose,
3x+5y=7→(1)
and 4x-y=5→(2)
Taking equation (2), we have
4x-y=5
⇒y=4x-5→(3)
Putting y=4x-5 in equation (1), we get
3x+5y=7
⇒3x+5(4x-5)=7
⇒3x+20x-25=7
⇒23x-25=7
⇒23x=7+25
⇒23x=32
⇒x=32/23
→(4)
Now, Putting x=32/23
in equation (3), we get
y=4x-5
⇒y=4(32/23)-5
⇒y=(128-115)/23
⇒y=13/23
∴y=13/23 and x=32/23
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
<h3>How to determine the critical values corresponding to a 0.01 significance level?</h3>
The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
- Number of paired observations, n = 8
- Significance level = 0.01
Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
Read more about null hypothesis at
brainly.com/question/14016208
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Answer:
the answer is 2-bar pack that costs 1.98, it is 0.99 per bar.
Step-by-step explanation:
divide $1.98 and 2 which comes to $0.99 then divide $8.88 and 8 which comes to $1.11 so 0.99 is cheaper and the better deal
There are 10 coins in total, and 2 of which are quarters. so our fraction form is 2/10, which we can reduce down to 1/5
Answer:
99 yd
Step-by-step explanation:
When I add these, I line them up vertically
29 yd. 2ft. 11 in.
+ 55 yd. 1 ft. 10 in.
+ 13 yd. 1 ft. 3 in.
---------------------------
97 yd 4ft 24 in
We know that 12 in = 1 ft
so 24 in = 2ft
Subtract 24 in and add 2 ft
97 yd 4ft 24 in
+2ft -24 in
------------------------------
97 yd 6ft
We know 3 ft = 1yd
so 6ft = 2yd
Subtract 6ft and add 2 yd
97 yd 6ft
+2yd - 6ft
-------------------
99 yd
