What is a possible number greater than or equal to 7?

ddd [48]

Option B. Has them listed in the correct order

7 0

3 years ago

five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and s

love history [14]

The number according to the given statement is x<-0.55.

Given the statement is five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths.

A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Five and three-tenths of a number means 5.3x.

And two and seven-tenths means 2.7.

So, five and three-tenths times a number plus two and seven-tenths means 5.3x+2.7. ......(1)

It is also given that three and three-tenths times a number means is 3.3x.

And one and six-tenths means 1.6.

So, three and three-tenths times a number plus one and six-tenths means 3.3x+1.6 .......(2)

Now, we will substitute equation (1) less than equation (2) according to the given statement is

5.3x+2.7<3.3x+1.6

Further, we will subtract 2.7 from both sides, we get

5.3x+2.7-2.7<3.3x+1.6-2.7

5.3x<3.3x-1.1

Now, we will subtract 3.3x from both sides, we get

5.3x-3.3x<3.3x-1.1-3.3x

2x<-1.1

Now, we will divide both sides by 2, we get

2x/2<-1.1/2

x<-0.55

Hence, the number for the given statement "five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths" is -0.55.

Learn more about the algebraic statement from here brainly.com/question/2689808

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5 0

2 years ago

If AC is parallel to DE, find X

UNO [17]

Answer: x = 50

Concept:

Here, we need to know the idea of alternative interior angles and the angle sum theorem.

Alternative interior angles are angles that are formed inside the two parallel lines, and the values are equal.

The angle sum theorem implies that the sum of interior angles of a triangle is 180°

If you are still confused, please refer to the attachment below or let me know.

Step-by-step explanation:

Given information:

AC ║ DE

∠ABC = 85°

∠A = 135°

Find the value of ∠BAC

∠A + ∠BAC = 180° (Supplementary angle)

(135°) + ∠BAC = 180°

∠BAC = 45°

Find the value of ∠BCA

∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)

(85°) + (45°) + ∠BCA = 180°

∠BCA = 50°

Find the value of x (∠EBC)

∠EBC ≅ ∠BCA (Alternative interior angles)

Since, ∠BCA = 50°

Therefore, ∠EBC = 50°

$\Large\boxed{x=50}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

2 years ago

What is the square root of 100.

ankoles [38]

Answer:

10 is the answer

Step-by-step explanation:

thank me layer

4 0

3 years ago

Read 2 more answers

A potato chip manufacturer has found that in the past the standard deviation of bag weight has been 0.2 ounce. They want to test

Brut [27]

Answer:

Null Hypothesis: $\sigma=0.2$

Alternative hypothesis: $\sigma \neq 0.2$ (Changes on the deviation)

Step-by-step explanation:

s represent the sample standard deviation

$\sigma$ represent the population standard deviation (variable of interest)

$\sigma_o =0.2$ represent the value that we want to test

n represent the sample size

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Based on this the system of hypothesis should be:

Null Hypothesis: $\sigma=0.2$

Alternative hypothesis: $\sigma \neq 0.2$ (Changes on the deviation)

In order to test these system of hypothesis we need to select a significance level $\alpha$ , then we need to calculate an statistic given by this formula.

$\chi^2 =\frac{(n-1)s^2}{\sigma^2_o}$

Then we need to calculate the degrees of freedom for the statistic on this case

$df=n-1$

And after this we need to calculate the pvalue based on the significance, the alternative hypothesis and the statistic calculated.

If the $p_v$ we reject the null hypothesis

If the $p_v >\alpha$ we FAIL reject the null hypothesis

3 0

3 years ago