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statuscvo [17]
3 years ago
6

Find a set of four consecutive positive integers such that the greatest integer in the set is twice the least integer in the set

?
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

four consecutive integers are

3,4,5,6

Step-by-step explanation:

Let x, x+1, x+2 and x+3 are the four consecutive positive integers

greatest integer is x+3

least integer is x

the greatest integer in the set is twice the least integer

x+3=2x

subtract x from both sides

3=x

the value of x is 3

x+1 is 4

x+2 is 5

x+3 is 6

so four consecutive integers are

3,4,5,6

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The distribution of the weights of a sample of 140 cargo containers is symmetric and bell-shaped, with a mean of 500 pounds and
I am Lyosha [343]

Answer:

a. 95%

Step-by-step explanation:

We solve this question, using z score formula.

Z score formula = (x - μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is number of samples

For z1, where x1 = 460, μ = 500, σ = 20, n = 140

z score formula = (460 - 500)/ 20

= -40/20

= -2

We find the probability of the z score using the z score table.

P(x = 460) = P(z = -2)

= 0.02275

For z2, where x2 = 540, μ = 500, σ = 20

z score formula = (540 - 500)/20

= 40/20

= 2

We find the probability of the z score using the z score table.

P(x = 540) = P(z = 2)

= 0.97725

The probability that the cargo containers will weigh between 460 pounds and 540 pounds is calculated as:

= 460 < x < 540

= P(z = 2) - P(z = -2)

= 0.97725 - 0.02275

= 0.9545

Converting to percentage

0.9545 × 100

= 95.45%

Therefore,the percentage of the cargo containers will weigh between 460 pounds and 540 pounds is 95%

6 0
3 years ago
What is the third term of the sequence ? An=3•2^ (n-1)
ra1l [238]

Answer:

12

Step-by-step explanation:

A₃ = 3 * 2⁽³⁻¹⁾ = 3 * 2² = 3 * 4 = 12

6 0
3 years ago
An engineer is building a suspended platform to raise bags of cement. The platform has a mass of 200 kg, and each bag of cement
larisa [96]
24 kg would be your answer thank you
3 0
3 years ago
5 subtracted from w is less than or equal to 16.Write inequality
Vinil7 [7]

Given:

The statement is given as 5 subtracted from w is less than or equal to 16.

The objective is to write inequality for the given statement.

Explanation:

Consider the first statement that is 5 is subtracted from <em>w</em>.

Then, the equation can be written as,

w-5

Explanation:

The result should be less than or equal to 16.

Thus, the final equation can be written as,

w-5\le16

Hence, the obtained inequality is w - 5 ≤ 16.

8 0
1 year ago
The dimensions of a portable kennel can be expressed as width x, length x + 0.4, and height x − 0.2? What are the dimensions of
horsena [70]

Answer:

L=2.3\ ft\\W=1.9\ ft\\H=1.7\ ft

Step-by-step explanation:

we know that

The volume of a portable kennel (rectangular prism) is equal to

V=LWH

where

L=(x+0.4)\ ft\\W=x\ ft\\H=(x-0.2)\ ft

V=7.4\ ft^3

substitute the given values in the formula of volume

7.4=(x+0.4)(x)(x-0.2)

Apply distributive property right side

7.4=x(x^2-0.2x+0.4x-0.08)

7.4=x(x^2+0.2x-0.08)

7.4=x^3+0.2x^2-0.08x

x^3+0.2x^2-0.08x-7.4=0

Solve the cubic equation by graphing

using a graphing tool

The solution is x=1.9

see the attached figure

Find the dimensions

substitute the value of x

L=(1.9+0.4)=2.3\ ft\\W=1.9\ ft\\H=(1.9-0.2)=1.7\ ft

5 0
3 years ago
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