D, would the only one that is yes since the point of it is on 5 of the x axis
P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5
Rearrange
0.5p=-0.75f+6.5
Simplify
P=-1.25f+13
Substitute
0.75(-1.25f+13)+0.25f=4.5
simplify
-0.9375f+9.75+0.25f=4.5
<span>-0.6875f+9.75=4.5
</span>-0.6875f=-5.25
f=7.636364
Round
F=$<span>7.64 per pound
</span>
Plug in
0.75p+0.25(7.64)=4.5
Simplify
0.75p+<span>1.91=4.5
0.75p=</span><span>2.59
</span>p=3.453333
Round
P=$3.45 per pound of peanuts
Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit
Since the sample size is less than 30, therefore we use
the t statistic.
Let us define the given variables:
N = sample size = 25
X = average score = 76
s = standard deviation = 12
99% Confidence interval
Degrees of freedom = n – 1 = 24
The formula for confidence interval is given as:
CI = X ± t * s / sqrt N
using the standard distribution table, the t value for DF
= 24 and 99% CI is:
t = 2.492
Therefore calculating the CI using the known values:
CI = 76 ± 2.492 * 12 / sqrt 25
CI = 76 ± 5.98
CI = 70.02, 81.98
Answer: The average score ranges from 70 to 82.
Answer:
48 cm²
Step-by-step explanation:
The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.
The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).
1. Convert the height to centimetres
2. Calculate the perimeter
p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm
3. Calculate the lateral area
L = ph = 16 cm × 3 cm = 48 cm²
The lateral area of the prism is 48 cm².
Answer:
9/20, 8/20, 7/20, 6/20
the next would be 5/20 or 1/4
Step-by-step explanation:
