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juin [17]
3 years ago
8

In the diagram below, PA= 4, AB=2, and PC=3. Findthe length of PD.​

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

PD = 8

Step-by-step explanation:

PC x PD = PA x PB

3 x PD = 4 x (4 + 2)

3PD = 24

PD = 8

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Please help me answer #8 ❤️
Nat2105 [25]

Answer:

125

Step-by-step explanation:

Area of trapezoid = \frac{a+b}{2} * h

Bases = 11 and 14

(11+14)=25

25/2=12.5

12.5 x 10 = 125

3 0
3 years ago
How many 3-letter combinations can be made from this set if no letter can be repeated?
Wittaler [7]

Answer:

B 120 different combinations

Step-by-step explanation:

There are 6 letters to choose from

Picking a letter for the first spot  6

Then there are 5 letters left

Picking a letter for the second spot  5

Then there are 4 letters left

Picking a letter for the second spot  4

6*5*4

= 120

7 0
4 years ago
A city has a population of 250,000. The population is expected to decrease 1.5% annually for the next decade. Write a function t
notka56 [123]

Answer:

Population after t\ years=250000\times (0.985)^t

Step-by-step explanation:

If P is the initial amount, r is the annual rate of decrease then after t years the remaining amount(A) will be given by

A=P(1-\frac{r}{100})^t

Here P=250000, r=1.5\%\\\\A=250000(1-\frac{1.5}{100})^t\\\\A=250000(1-0.015)^t\\\\A=250000\times (0.985)^t

5 0
3 years ago
We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confide
Helen [10]

Answer:

<h2>11.2≤\mu12.8 </h2>

Step-by-step explanation:

Confidence interval for the population mean is expressed by the formula;

CI = xbar ± Z(S/√n) where;

xbar is the sample mean = 12.5

Z is the z score at 99% confidence = 2.576

S is the standard deviation = √variance

S = √2.4 = 1.5492

n is the sample size = 25

Substituting the given values into the formula given above,

CI = 12.5 ± 2.576(1.5492/√25)

CI = 12.5 ± 2.576(0.30984)

CI = 12.5 ± 0.7981

CI = (12.5-0.7981, 12.5+0.7981)

CI = (11.2019, 12.7981)

Hence the 99% confidence interval for the population mean is 11.2≤\mu12.8 (to 1 decimal place)

7 0
4 years ago
A flim starts at 20 past 11 in the morning and lasts for 1 hour and 55 mins what time does it finish
NISA [10]
The film would last until 12:15. I simply added on the one hour and fifty five minutes to find the answer.
8 0
3 years ago
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