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4 years ago

Translate the following statement to an inequality. A number is at most seven. x > 7 x < 7 x ≥ 7 x ≤ 7

Mathematics

1 answer:

damaskus [11]4 years ago

3 0

The required inequality is: x≤7

Step-by-step explanation:

The words have to be considered and observed properly to write an inequality.

At most means, that the value cannot exceed 7.

So,

Let x be a number

Then

A number is at most 7 will be written as:

$x\leq 7$

as the value of x cannot exceed 7.

The required inequality is: x≤7

Keywords: Inequality, Variables

Learn more about inequalities at:

#LearnwithBrainly

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Can someone help me .

RUDIKE [14]

Answer:

b part is the correct answer

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3 years ago

Suppose the number of children in a household has a binomial distribution with parameters n-8 and p-50%. Find the probability of

Goshia [24]

Answer:

Step-by-step explanation:

Given that the number of children in a household has a binomial distribution with parameters n-8 and p-50%

As per binomial definition we have

$P(X=r) = nCr p^r q^{n-r}$

= $8Cr (0.5)^r (0.5)^{n-r} \\=8Cr(0.5)^8$

a) P(x=3 or 7) = P(3)+P(7) = 0.2188+0.0313=0.2501

b) P(X≤5)=0.8555

c) P(X≥3)=0.8555

d) P(x<7) =0.9648

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3 years ago

Type the correct answer in the box.

gogolik [260]

Answer:

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7 0

3 years ago

Choose the inequality that represents the following graph.

zmey [24]

Answer:

(b) x ≤ -4

Step-by-step explanation:

There are a few things to note when reading an inequality on a number line.

The number line would contain the following:

i. <em>circles</em>: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.

ii. <em>arrows</em>: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.

From the given number line,

The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.

Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.

Therefore, the inequality should read,

x ≤ -4

This shows that all values of x less than or equal to -4 are included in the range.

4 0

3 years ago

Need help!! I can't figure this out

Sidana [21]

9514 1404 393

Answer:

12. $1,035,057.23

13. $988,881.23

14. $7,762.93

15. $8,686.16

16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

13. The total of payments is ...

$74×12×52 = $46,176

So, the interest earned is ...

$1,035,057.23 -46,176 = $988,881.23

14. The amount available in perpetuity is the monthly interest on this account balance.

$1,035,057.23 × .09/12 = $7,762.93

15. The monthly amount available for 25 years is found from the amortization formula:

A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

16. The amortization formula is used for this, too.

8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

P = $8066/0.00833568 = $967,647.66

7 0

3 years ago