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Lina20 [59]
3 years ago
14

The sum of three consecutive odd numbers is less than or equal to 33. Write an inequality and solve to determine the maximum val

ue of the lowest number.
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

9

Step-by-step explanation:

If first odd number is x

THen next consecutive odd number is x + 2

Next one is x + 4

Now, we can write the word problem as:

x+x+2+x+4 \leq 33

Now we solve:

x+x+2+x+4 \leq 33\\3x+6 \leq 33\\3x \leq 27\\x \leq 9

So, x is less than or equal to 9, so it can be

9, 7, 5 .....

What is the maximum value of the lowest number (x)?? It is 9

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Select the three statements that are true. A. -11 > -6 B. -5 > -7 C.-4 > -6 D. -9 > 7 E. 8 (-1 F. -5 -4​
OLEGan [10]

Answer: B, C, And F

Step-by-step explanation:

My answer is correct because, for the negative numbber whatever is close to 1 like -1 is greater then the other negative number.

#AnimePower

4 0
3 years ago
A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th
OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. <u>Calculate the mean</u>

\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666

Second step. <u>Calculate the standard deviation</u>

\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}

\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}

\sigma=\sqrt{17.815}=4.22

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).  

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

\bar X \pm t\frac{\sigma}{\sqrt n}

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

6 0
3 years ago
National polls are often conducted by asking the opinions of a few thousand adults nationwide and using them to infer the opinio
Nonamiya [84]

Answer:

The population is the set of all the elements. And the sample is a subset of the population.

Step-by-step explanation:

The population is the set of all the elements. And the sample is a subset of the population.

The sample is used to make conclusions regarding the population.

A poll is conducted from the target population to determine the general opinions of the individuals of that population.

The basic method of polling is to select a few thousand individuals from the population and ask their opinions on a certain subject.

The poll will result usually in two values, the proportion of individual in favor and the proportion of individual not in favor.

Consider the example below.

The polling done to determine the favorability of the new brand of tea. The polling was done using a few hundred members of the tea drinking community of a country. The poll resulted as follows:

In favor = 72%

Not in favor = 28%

The population is the entire tea drinking community of a country.

In this case the sample consist of few 100 people of the tea drinking community of a country.

6 0
3 years ago
Describe and correct the error in writing the phrase as an expression?
lesantik [10]

Answer:

12 < x

Step-by-step explanation:

In writing 12 less than a number x, the expression, 12 - x is wrong because "less than" is not the same thing as "minus" (-). Rather, the sign, "<" should have been used as follows:

12 < x.

4 0
3 years ago
In the expression 2a + 5 + a -14 + 3b which ones are the constants​
Finger [1]

Answer:

5

Step-by-step explanation:

Constant= # without variable

5 0
3 years ago
Read 2 more answers
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