The cost of scarf is $11 and the cost of hat is $6.
<u>Step-by-step explanation:</u>
<u>Let us assume :</u>
- The cost of hat be 'h'.
- The cost of scarf be 's'.
<u>Given that,
</u>
The cost of 6 hats and 1 scarf is $47
⇒ 6h + s = 47 ------(1)
The cost of 3 hats and 2 scarves is $40
⇒ 3h + 2s = 40 -------(2)
<u>Solving the equations to find x and y values :
</u>
Multiply eq(2) by 2 and subtract eq(2) from eq(1),
6h + s = 47
-<u>(6h + 4s = 80)
</u>
<u>
</u> <u> -3s = - 33</u>
-3s = - 33
s =33/3
s = 11
The cost of scarf is $11.
Substitute s=11 in eq(1),
6h + 11 = 47
6h = 47 - 11
6h = 36
h = 36/6
h = 6
The cost of hat is $6.
Answer:
254 and 180
Step-by-step explanation:
First of all we will define mode
"A mode is the most frequent value in the data"
In order to find mode the data is observed and the data value with most number of occurrence is called mode.
A data set can have more than one modes.
So in the given data,
The repeated data values are:
254 = two times
180 = two times
So the modes are 254 and 180 ..
The scale will continuously go up per section, 2:60, 3:90.
Answer:
17
Step-by-step explanation:
10 pounds in 3/5 bags means 50/5 bags
50/3 is 16.67, rounded he needs 17 bags
Answer: The size of sample of 193 is needed.
Step-by-step explanation:
Since we have given that
Margin of error = 6%
At 90% confidence level, z = 1.645
Let p = 0.5
and q = 0.5
( because it is the most conservative estimation).
So, using formula, we get :

Hence, the size of sample of 193 is needed.