# The number line below represents which combined inequality?number line with a closed circle on negative 4 and 3 with shading in betweenx greater than or equal to −4 and x less than or equal to 3x greater than or equal to −4 or x less than or equal to 3x less than or equal to −4 and x greater than or equal to 3x less than or equal to −4 or x greater than or equal to 3

Answer: x greater than or equal to −4 and x less than or equal to 3

This is because of the fact that it is in between.

Step-by-step explanation:

X greater or equal to -4 and X less than or equal to 3

## Related Questions

If tangent alpha equals negative StartFraction 21 Over 20 EndFraction ​, 90degreesless thanalphaless than180degrees​, then find the exact value of each of the following. a. sine StartFraction alpha Over 2 EndFraction b. cosine StartFraction alpha Over 2 EndFraction c. tangent StartFraction alpha Over 2 EndFraction

α= 133.6 degrees

(a)Sin(α/2)=0.9191

(b)cos(α/2)=0.3939

(c)Tan(α/2)=2.3332

Step-by-step explanation:

If Tan α=

90<α<180

We determine first the value of α in the first quadrant

α=

=46.4

Since 90<α<180

α=180-46.4=133.6 degrees

(a)Sin(α/2)=Sin(133.6/2)=Sin 66.8 =0.9191

(b)cos(α/2)=cos(133.6/2)=cos 66.8 =0.3939

(c)Tan(α/2)=Tan(133.6/2)=Tan 66.8 =2.3332

A state's license plates consist of four letters followed by three numerals, and 246 letter arrangements are not allowed. how many plates can the state issue?

The state will issue 4,56,97,354 plates

### What is exponents and powers?

When anumber is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent. Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.

• An exponent is the number of times a given number is being multiplied by itself.
• The expression when a number is being multiplied by itself n number of times is called the nth power of the given number.

Given:

Number of letters = 4

Number of numerals = 3

As 246 letter arrangements are not allowed.

So, we have total 26 letters.

and numbers from 0 to 9.

So, the number of plates  will be

= 26*26*26*26*10*10

=(26)^4 * (10)^2

= 45697600

Now, deducted those 246 letter arrangements which are not allowed

= 45697600 - 246

= 4,56,97,354

Hence, the state will issue 4,56,97,354 plates.

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There are 26 letters in the alphabet, there are also 10 numbers 1-10. You multiply that and it would be 260.

Find the surface area of the triangular prism.5 ft
5 ft
13 ft
4 ft
6 ft

234ft²

Step-by-step explanation:

Surface of the triangular prism

= ab+3bh

= (6ft×13ft)+(3×13ft×4ft)

= 78ft²+156ft²

= 234ft²

Hence, the surface area of the given triangular prism is 234ft².

Assume that, on average, healthy young adult’s dream 90 minutes each night, as inferred from a number of measures, including rapid eye movement (REM) sleep. An investigator wishes to determine whether drinking coffee just before going to sleep affects the amount of dream time. After drinking a standard amount of coffee, dream time is monitored for each of 28 healthy young adults in a random sample. Results show a sample mean, X, of 88 minutes and a sample standard deviation, s, of 9 minutes. (a) Use t to test the null hypothesis at the .05 level of significance (b) If appropriate (because the null hypothesis has been rejected), construct a 95 per-cent confidence interval and interpret this interval

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 90

For the alternative hypothesis,

µ < 90

If drinking coffee just before going to sleep affects the amount of dream time, then the amount of dream time would be less than 90 minutes. It means that it is left tailed.

Since the number of samples is 28 and no population standard deviation is given, the distribution is a student's t.

Since n = 28,

Degrees of freedom, df = n - 1 = 28 - 1 = 27

t = (x - µ)/(s/√n)

Where

x = sample mean = 88

µ = population mean = 90

s = samples standard deviation = 9

t = (88 - 90)/(9/√28) = - 1.176

We would determine the p value using the t test calculator. It becomes

p = 0.124

Since alpha, 0.05 < than the p value, 0.124, then we would not reject the null hypothesis. Therefore, At a 5% level of significance, the sample data did

not show significant evidence that drinking coffee just before going to sleep affects the amount of dream time.

Lupe has 14 stickers that she wants to give to 2 friends. She wants each friend to have the same number of stickers. Select the three statements that describe how Lupe should give the stickers to her friends. Each friend gets 14÷2 stickers. Each friend gets 2 of the 14 stickers. Each friend gets 142 stickers. Each friend gets 7 of the 14 stickers.

The correct options are 1, 3 and 4.

Step-by-step explanation:

It is given that Lupe has 14 stickers that she wants to give to 2 friends.

Total number of stickers Lupe has is 14.

The number of friends is 2.

She wants each friend to have the same number of stickers. It means each friend will get half of 14.

The number stickers Lupe should give to her friends is 14 divided by 2.

Write this value in fraction form.

It means the correct statements are

1. Each friend gets 14÷2 stickers.

3. Each friend gets (14)/2 stickers.

4. Each friend gets 7 of the 14 stickers.

Hence correct options are 1, 3 and 4.

Each friend gets 7 of the 14 stickers. They will get 7 because their are 2 Friends and she has 14 stickers to make sure they get an even amount you can dived 14 by 2 and you will get your answer

Another name for the weighted point evaluation method is the ____ method.