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Nataly_w [17]
3 years ago
15

Find the next number to complete the sequence 3, -6, 12, 4, 20, ?

Mathematics
2 answers:
Yanka [14]3 years ago
7 0

Answer:

The next number to complete the sequence is 13

Step-by-step explanation:

The sequence of given data is the reducing number by the specific value and the add double of same number in the outcome.

The difference between numbers

-6-3 = -9

12 -(-6) = 18

4 - 12 = -8

20 - 4 = 16

The pattern if behaves as

x-n

x-2x

According to given pattern new number should be

x - 20 = -7

x = -7 +20

x = 13

The next umber will be 13

tensa zangetsu [6.8K]3 years ago
4 0

Answer:

13

Step-by-step explanation:

From the sequence above the number has a negative sign,increasing and decreasing at rates not quite understandable unless a proper attention is paid.

The sequence of the above data is the reducing number by the specific value and the add double of same number in the outcome.

Take a look a this

-6-3 = -9(the first number is subtracted from the second)

12-(-6)=18

4 - 12 = -8

20 - 4 = 16

From the above one can realize that the outcome of every single linear algebra having the -ve sign will increase by 1(that means +1 is added to the previous number with a negative sign.

So to following the sequence, the next number will b -7

According to given pattern new number should be

x - 20 = -7

x = -7 +20

x = 13

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A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping
KatRina [158]

Answer:

40 mph

Step-by-step explanation:

One hour includes 60 minutes

8/60=0.13(3 repeating)

You only need 15 minutes of time

0.13(3 repeating)*15=2

8+2=10 miles

15 minutes is 1/4 of an hour

10*4=40 mph

6 0
3 years ago
The exponential model A = 661.7 e^0.011t describes the population, A, of a country in millions, t years after 2003. Use the mode
faust18 [17]

Answer:

661.7 million

Step-by-step explanation:

Given the exponential model :

A = 661.7 e^0.011t

The general form of an Exponential model is expresses as :

A = A0 * e^rt

Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed

From the question t = time after 2003

Therefore, A0 = initial population, which is the population in 2003

Therefore, A0 = 661.7

Or we could put t = 0 in the equation and solve for A

A = 661.7 e^0.011(0)

A = 661.7 * 1

A = 661.7

Hence, population in 2003 is 661.7 million

7 0
3 years ago
use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium
Vikentia [17]

Answer:

The amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.

Step-by-step explanation:

What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the tanks at the Georgia Aquarium hold approximately 8.4 × 10⁶ gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water.The number of the time will be calculated as below:-= 8.4 × 10⁶ / 400,000= 20.1

Therefore, the amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.To know more about an expression followbrainly.com/question/15772941#SPJ2

5 0
11 months ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

Z_{\alpha /2} = Z_{0.025}= -1.96

Z_{1-\alpha /2} = Z_{0.975}= 1.96

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u>    17-15     </u> = 1.99

     σ/√n              5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0
3 years ago
Find the area of a circle with a circumference of 31.5 units
Westkost [7]

Answer:

79 units²

Step-by-step explanation:

The area of a circle is found by using the formula A = π x r². Since we are not given the radius we can use the formula r = C / (2π). Substituting in the given values, we get r = 31.5/(2π). 2 times pi is 6.283185307. 31.5 divided by this will get you 5.013380707. Now, put that value in for r in the area equation. A = π x 5.013380707². Pi times 5.013380707² equals 78.96074613. This can be rounded to 79. (Or 80 if you need to the nearest whole number.)

6 0
3 years ago
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