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SashulF [63]
3 years ago
8

Why is the answer D? Plz explain.

Mathematics
2 answers:
Greeley [361]3 years ago
7 0
ΔABC is a right triangle
By the Pythagorean theorem:
AC = √(BC² - AB²) =√(5²-3²) = √(25-9) = √16 = 4

ΔBED is a right triangle
DE = 4 
BE = AB + AE = 3 + 4 = 7
By the Pythagorean theorem:
BD = √(BE² + DE²) =√(7²+4²) = √(49+16) = √65

Answer: BD = √65
mr_godi [17]3 years ago
3 0
BD is the hypotenuse of right triangle BED.
In right triangle BED, the legs are BE and ED.
BE = BA + AE

AB = 3; BC = 5

Use the Pythagorean theorem to find AC.

3^2 + (AC)^2 = 5^2

(AC)^2 = 25 - 9

AC = 4

ACDE is a square, so AE = AC = ED = 4

BE = BA + AE 3 + 4 = 7

Use the Pythagorean theorem to find the length of the hypotenuse, BD.

a^2 + b^2 = c^2

(BE)^2 + (ED)^2 = (BD)^2

7^2 + 4^2 = (BD)^2

49 + 16 = (BD)^2

(BD)^2 = 65

BD = \sqrt{65}
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A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum
ki77a [65]

Answer:

The confidence interval is from 69.82 o 82.18

Step-by-step explanation:

Using this formula X ± Z (s/√n)

Where

X = 76 --------------------------Mean

S = Standard Deviation

If Variance = 144

S = √144

S = 12

n = 25 ----------------------------------Number of observation

Z = 2.576 ------------------------------The chosen Z-value from the confidence table below

Confidence Interval || Z

80%. || 1.282

85% || 1.440

90%. || 1.645

95%. || 1.960

99%. || 2.576

99.5%. || 2.807

99.9%. || 3.291

Substituting these values in the formula

Confidence Interval (CI) = 76 ± 2.576 (12/√25)

CI = 76 ± 2.576(12/5)

CI = 76 ± 2.576(2.4)

CI = 76 ± 6.1824

CI = 76 + 6.1824 ~ 76 - 6.1824

CI = 82.1824 ~ 69.8176

CI = 82.18 ~ 69.82

In other words the confidence interval is from 69.8176 to 82.1824

4 0
3 years ago
The most frequently occurring value of a data set is called the a. range. b. mode. c. median. d. mean.
tankabanditka [31]

Answer:

B. Mode

Step-by-step explanation:

The mode of any distribution is the value with the most recurrence in a given set of data or distribution. It is also possible that such given set of data have more than one mode. They can be bimodal, that is having two modes and they can be multimodal, that is having multiple modes.

For example, in a given set of data like 2,3,3,5,6,7,7,7,7,7,9, the most occurring value or entry is 7 and the mode of the set of data is said to be 7.

3 0
3 years ago
A supplier sold a scanner machine for Rs 41,400 with 15% VAT after allowing 10% discount on it's marked price and gained 20%. By
victus00 [196]

3%

Answer:

Selling price with VAT {15%} = Rs 41400

S.P +15% of S.P =Rs 41400

S.P(1+15%)=Rs 41400

S.P=Rs 41400/1.15

Selling price without VAT =Rs 36000

Again

Discount = 10%

M.P =S.P+ Discount % of M.P

M.P-Discount% of M.P= S.P

M.P(1-Discount%)=Rs 36000

M.P(1-10%)=Rs 36000

M.P=Rs 36000/0.9

Marked Price = Rs 40,000

again

Discount =Discount % of M.P

=10% of 40000

=Rs 4,000

Again

Profit=20%

For 20% profit

Cost price = (S.P*100)/(100+profit%)

=(36000*100)/(100+20)

= Rs 30000

For 24% profit

selling price = (100+profit%)*C.P/100

=(100+24)*30000/100

=Rs 37200

Again

Discount = 40000–37200 = Rs2800

Discount % = discount/M.P*100%

=2,800/40,000* 100 = 7%

Finally

Discount percent to be reduced =10%–7%= 3%

3 0
2 years ago
While visiting Crimson Lake, Sally decided to go Kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to
tiny-mole [99]

Answer:

Step-by-step explanation:

8 0
3 years ago
Simplify 10 + 1/2 + 6 + 5/6 ​
Olenka [21]

Answer:

17 1/3

Step-by-step explanation:

10 + 6 + 1/2 + 5/6

Turn 1/2 into 3/3 =3/6

10 + 6 + 3/6 +5/6

10 +6 = 16

3/6 +5/6 = 8/6

Put 8/6 into mixed number than add it to 16

8/6= 1 2/6

Finally, add 1 2/6 and 16 it would equal 17 2/6 aka 17 1/3

7 0
4 years ago
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