Answer: The scale factor is 1.3 .
Step-by-step explanation:
Given: The first hexagon is dilated to form the second hexagon.
The side length of first hexagon=5 units.
The side-length of second hexagon= 6.25 units
When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-
Substitute, y=6.5 and x=5 to find the value of k we get
Hence, the scale factor is 1.3
Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function
. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
9514 1404 393
Answer:
$890.52
Step-by-step explanation:
The pay for each hour of overtime is ...
1.5 × $19.68 = $29.52
The tech worked 40 hours at $19.68 per hour, plus an additional 3.5 hours at $29.52 per hour. His gross pay is ...
40 × $19.68 +3.5 × 29.52
= $787.20 +103.32 = $890.52
His gross pay for the week is $890.52.
Answer:
1. -3
2. 7
3. -2
4. 3
Step-by-step explanation:
1. idk
2. 3.2 move 3b over to get 3.2-3b-4.7=-3.3 move 4.7 over to get
3.2b-3b=4.7-3.3 now 3.2b-3b=.2b and 4.7-3.3=1.4 .2b/.2=b 1.4/.2=7 so b=7
3. 4.6y-y+4=y-1.2 now switch the 4 and the y to read 4.6y-2y=-4-1.2
2.6y=-5.2 divide both sides by 2.6 to get y=-2
4. 7.5c-2.5c+8=-7 move 8 to other side to get 7.5c-2.5c=-8-7
5c=-15 divide both sides by 5 getting c=3
Best Answer:<span> </span><span>A. Mode
B. Median
C. Mean
the other two are not measures of central tendency.
Data:
4+9/12, 5+3/12, 5+4/12,5+7/12,5+3/12, 5+9/12,6+0/12, 5+4/12,6+0/12, 6+1/12,5+7/12, 5+5/12, 4+5/12
4.4167, 4.75, 5.25{2}, 5.3333{2}, 5.4167, 5.5833{2}, 5.75, 6{2}, 6.0833
n= 13; Σx= 70.75; Σx²= 387.8403; Σx³= 2140.408; Σx^4= 11886.2257
σ= 0.4638; σn-1= 0.4828; Variance=σ²= 0.2152; (σn-1)²= 0.2331
Mean(μ)= 5.4423; range= 1.6667; mid-range= 5.25; median= 5.4167; No Mode Probably right skewed.
Five number summary: Q0= 4.4167, Q1= 5.25, Q2= 5.4167, Q3= 5.875, Q4= 6.0833, IQR= 4.875</span>
