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Vlada [557]
3 years ago
13

Calculate the length of BE

Mathematics
1 answer:
lora16 [44]3 years ago
6 0

Answer:

BE = 72 cm

Step-by-step explanation:

\frac{AB}{BC} = \frac{BE}{CD}        (BPT Theorem)

\frac{20}{5} = \frac{BE}{18} \\

⇒ 4 = \frac{BE}{18}

⇒BE = 18 × 4

∴ BE = 72 cm

Hope this helps...

Please mark as Brainliest!!

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The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
3 years ago
Which term best describes the geometric figure?
nordsb [41]

Answer:

The geometric figure is a Segment

Step-by-step explanation:

A and B are points since they are shown by dots and a point usually marks a location.

In Geometry a line is straight  and  extends in both directions infinitely.

A line segment or simply segment is the part of a line that connects two points. A segment is the shortest distance between the two points and has a length.

5 0
3 years ago
Read 2 more answers
Three boxes of cereal weigh 379.4 grams,424.25 grams,and 379.37 grams. What is the difference between the lightest and the heavi
TiliK225 [7]

Answer:

44.88

Step-by-step explanation:

Heaviest box = 424.25

Lightest box = 379.37

424.25 - 379.37 = 44.88

Hope this helps!

8 0
3 years ago
Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segmen
Nataly_w [17]

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A(x_1,y_1) and B(x_2,y_2) in the ratio m:n is given by:

x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7

Therefore the coordinates of point X is at (-13, -7)

6 0
3 years ago
Suppose the population of a certain city is 3987 thousand. It is expected to decrease to 3157 thousand in 50 years. Find the per
Natalija [7]
Oh you just gotta like multipley and then subtracted it
7 0
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