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neonofarm [45]
3 years ago
10

If 40% of a number is 56, what was the original number?

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0
40/100= 56/x 40x=100(56) 40x=5600 Divide both sides by 40 to get x alone. X=140
kompoz [17]3 years ago
7 0
40/100 = 56/x
0.4 = 56/x
x = 56/0.4 = 140

Therefore the original number is 140.
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Whats the length in meters of CD?​
Gnesinka [82]

Answer:

The length of DC in meters is  \frac{60}{13} ⇒ A

Step-by-step explanation:

In the circle O

∵ AB passing through O

∴ AB is a diameter

∵ D is on the circle

∴ ∠ADB is an inscribed angle subtended by arc AB

∵ Arc AB is half the circle

→ That means its measure is 180°

∴ m∠ADB = \frac{1}{2} × 180° = 90°

In ΔADB

∵ m∠ADB = 90°

∵ AD = 5 m

∵ BD = 12 m

→ By using Pythagorase Theorem

∵ (AB)² = (AD)² + (DB)²

∴ (AB)² = (5)² + (12)²

∴ (AB)² = 25 + 144 = 169

→ Take square root for both sides

∴ AB = 13 m

∵ ∠ADB is a right angle

∵ DC ⊥ AB

∴ DC × AB = AD × DB

→ Substitute the lengths of AB, AD, and DB

∵ DC × 13 = 5 × 12

∴ 13 DC = 60

→ Divide both sides by 13

∴ DC = \frac{60}{13} m

∴ The length of DC in meters is  \frac{60}{13}

6 0
2 years ago
What is 8,419 divided by 3
vagabundo [1.1K]

Answer:

2806.33333333

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the probability of randomly selecting a month pf year and not getting a month that ends in y?
Umnica [9.8K]

Answer:

2/3

Step-by-step explanation:

The months whose names end in 'y' include Jan, Feb, May, Jul.  The probability of randomly selecting a month whose name ends in 'y' is 4/12 (remember that there are 12 months in a year), or 1/3.

Thus, the probability of selecting a month whose name does NOT end in 'y' is 8/12, or 2/3.  Note that this event is the 'complement' of the first event:  

P(name does not end in 'y') = 1 - P(name does not end in 'y') = 1 - 1/3 = 2/3

8 0
2 years ago
A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the
Anni [7]

Answer:

8.68,13.16

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92

Standard deviation of the sample is,

\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6

The confidence interval will be,

=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}

=10.92 \pm 2.24

=8.68,13.16

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

5 0
3 years ago
Help me plzz help me plzz​
Alik [6]

Answer:

44.1 mm^2

Step-by-step explanation:

The formula for a trapezoid is 1/2(b1 + b2)h

A= 1/2(12.5 + 8.5) 4.2

 = 1/2x21x4.2

 =44.1

4 0
2 years ago
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