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Ann [662]
3 years ago
8

What would be the next number in the pattern? 64, 16, 4, 1... A) 1/3 B) 1/5 C) 1/4 D) 1

Mathematics
2 answers:
kykrilka [37]3 years ago
7 0
Ur multiplying by 1/4 to get to the next number...so ur next number is 1/4
olga2289 [7]3 years ago
4 0

Answer:  The next term in the given pattern is \dfrac{1}{4}.

Step-by-step explanation:  We are given to find the next number in the following pattern :

64,   16,   4,    1,   .    .    .

We see that,

if a(n) denotes the nth number i the given pattern, then

a(1) = 64,  a(2) = 16,  a(3) = 4,  a(4) = 1,   .  .   .

That is,

\dfrac{a(2)}{a(1)}=\dfrac{a(3)}{a(2)}=\dfrac{a(4)}{a(3)}=~~.~~.~~.~~=\dfrac{1}{4}.

Therefore, we get

\dfrac{a(5)}{a(4)}=\dfrac{1}{4}\\\\\\\Rightarrow \dfrac{a(5)}{1}=\dfrac{1}{4}\\\\\\\Rightarrow a(5)=\dfrac{1}{4}.

Thus, the next term in the given pattern is \dfrac{1}{4}.

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kow [346]
Multiply 0.57 by 51
=29.07

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8 0
3 years ago
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What is the volume of a cone with diameter 21 m and height 4 m?
natima [27]

For this case we have by definition, that the volume of a cone is given by:

V = \frac {1} {3} * \pi * r ^ 2 * h

Where:

A: It is the cone radius

h: It's the height

They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:

V = \frac {1} {3} * \pi * (10.5) ^ 2 * 4\\V = \frac {1} {3} * \pi * 110.25 * 4\\V = 147 \pi.

Finally, the volume of the cube is147 \pi \ m ^ 3

ANswer:

Option B

3 0
3 years ago
I have to find the area of the figure
Digiron [165]

Answer:

. 5×17×10.3

Step-by-step explanation:

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7 0
3 years ago
Suppose the waiting times in an emergency room are normally distributed with a mean (mean) of 40 and a standard deviation (sigma
kipiarov [429]

Answer:

0.68269

Step-by-step explanation:

When we are to find the z score for population where a random sample is picked, the z.score formula we use is

z = (x-μ)/Standard error, where

x is the raw score,

μ is the population mean

Standard error = σ/√n

σ is the population standard deviation

n = random number of samples

For : x = 38 minutes, μ = 40, σ = 10, n = 5

z = 38 - 40/10 /√25

= -2/10/5

= -2/2

= -1

Determining the probability value using z table

P(x = 38) = P(z = -1)

= 0.15866

For : x = 42 minutes, μ = 40, σ = 10, n = 25

z = 42 - 40/10 /√25

= 2/10/5

= 2/2

= 1

Determining the probability value using z table

P(x = 42) = P(z = 1)

= 0.84134

The probability that their average waiting time will be between 38 and 42 minutes is calculated as

P(-Z<x<Z)

= P(-1 < x < 1)

= P(z = 1) - P(z = -1)

= 0.84134 - 0.15866

= 0.68269

Therefore, the probability that their average waiting time will be between 38 and 42 minutes is 0.68269

3 0
4 years ago
What is (√2) + 2? <br> (No decimals.)
kicyunya [14]

( square root 2) + 2

= 2+ square root 2


I hope that's help ! If you have questions please just let me know

7 0
3 years ago
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