Which inequality is a true statement?

Select each correct answer.


−4 = −5

−4 ≤ −5

−4 < −5

−4 > −5

−4 ≥ −5

First,

Length of Rectangle = (x + 9) units

Breadth of Rectangle = (x + 3) units

so,

Area = (x + 9) * (x + 3)

= x² + 9x + 3x + 27

= (x² + 12x + 27) units

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

The probability of red is:

[tex]p = \frac{n}{n + 8}[/tex]

Supposing [tex]p = \frac{7}{10}[/tex], we solve for n:

[tex]\frac{n}{n + 8} = \frac{7}{10}[/tex]

[tex]10n = 7n + 56[/tex]

[tex]3n = 56[/tex]

[tex]n = \frac{56}{3}[/tex]

[tex]n = 18.67[/tex]

Since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]

A similar problem is given at https://brainly.com/question/15536019

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

[tex]H_0: \mu = 2.5[/tex]

At the alternative hypothesis, it is tested if it has increased, that is:

[tex]H_1: \mu > 2.5[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}[/tex]

[tex]z = 1.7[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of [tex]z^{\ast} = 1.645[/tex]

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at https://brainly.com/question/24166849

Answer:

$161.88

Step-by-step explanation:

1, 425 * 0.05 = 71.25 = yearly

71.25 / 12 = 5.94 = monthly

5.94 * 2 = 11.88 = for two months

11.88 + 150 = 161.88 = the amount he is expected to pay

Tell me if I'm wrong :)

(x - 10)² is the graph x² by translation of 10 units moved to the right.

sum is the process of adding two numbers.

Answer:

eeeeee

Step-by-step explanation:

eeeeee

It will take 16.66years long for the money to double

The formula for calculating the compound amount is expressed as:

A = P(1+r)^t

Substitute into the formula to have:

1800 = 900(1+0.0425)^t

2 =(1+0.0425)^t

2 = 1.0425^t

ln2 = tln1.0425

t =  ln2/ln1.0425

t = 0.6931/0.0416

t = 16.66years

This shows that it will take 16.66years long for the money to double

Learn more on compound interest here: https://brainly.com/question/18483293

Answer:

I think it is 1 4/159

Step-by-step explanation:

Among the fractions given in this question 11/18 and 5/14,  the largest fraction is: 3/5.

To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.

[tex]\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111[/tex]

[tex]\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714[/tex]

We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.

Answer:

n = 2 i beleve

Step-by-step explanation:

i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff

<3 have a good day <3

Answer:

-6/13

Step-by-step explanation:

Answer:

 19.9202745546

Step-by-step explanation:

54 will be your answer...

Answer:

Obtuse or right angle

Step-by-step explanation:

Also you should stop making your question worth so many points

Answer:

w>-20

Step-by-step explanation:

Answer:

7 5/12

Step-by-step explanation:

first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6

5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6

* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6

5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12

adding them gives you:

6 17/12 which is the same as 6 + 1 5/12, or 7 5/12

Answer:

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Answer:

An algebraic expression of three terms

Step-by-step explanation:

A trinomial consists of 3 terms connected to one another by + or - sign(s).

Examples:  x^2 - 2x - 5 is a trinomial:  Its 3 terms are arranged in descending order by powers of x.

Answer:

first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation:

Answer:

February: +10

March: -5

April: +50

May: -25

June: -20

Step-by-step explanation:

Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.

Answer:

4064

Step-by-step explanation:

254*64=16256*1/4=4064

Answer:

The area is 25.875 square feet. Or it can be written as [tex]25\frac{7}{8}[/tex]

Step-by-step explanation:

You would simply multiply them by each other. 5 3/4 is aso 5.75. And 4 1/2 is also 4.5. So simply multiply 5.75 by 4.5

5.75*4.5 to get 25.875

Answer: should be 86°, not sure.

Step-by-step explanation:

Answer:

A = 9 9/10 sq inches

Step-by-step explanation:

A = lw

A = 12/5 x 33/8

A = 396/40

A = 9 9/10 sq inches

Answer:

m = -2/3 and b = -1/3

Step-by-step explanation:

Write the equation of this line in slope-intercept form.  Then m = slope and b = y-intercept and the basic equation is y = mx + b.

Solving 3y+2x=-1 for y, we get 3y = -2x - 1, or y = (-2/3)x - 1/3

Here we can easily see that m = -2/3 and b = -1/3.

Answer: There's an increasing interval between -1 and 1

While x goes from -1 to 1, the value of y increases (from -2 to 2).

Answer:

[tex]x=\pm\sqrt{y+64}[/tex]

Step-by-step explanation:

All you need to do is isolate the x.

First, add 64 to both sides:

[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]

Then, take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]

Actually, that is:

[tex]x=\pm\sqrt{y+64}[/tex]

Here's the reason for that. An example would be:

[tex]x^2=4[/tex]

Here, you'd take the square root of both sides to solve for x.

[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]

Right? But X could also be a -2, because a negative times a negative is a positive.

[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]

Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]

[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]

Answer:

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12 ...

Step-by-step explanation:

Hope it helps

Answer:

Not factorable with rationable numbers

Step-by-step explanation:

You cannot factor this expression with rationable numbers.

Answer:

Seems correct to me. I color coded the various terms.

Step-by-step explanation:

[13x³ came by adding 9x³ and 4x³]