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Slav-nsk [51]
3 years ago
9

X is less than or equal to 2 Write in interval notation.

Mathematics
1 answer:
Talja [164]3 years ago
3 0
X is less than -2, so -2 is our largest value of the interval, so it goes on the right. Since there is no lower endpoint (it is ALL values less than -2), we put the negative infinity symbol on the left side. The curved end on -2 indicates an open interval
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Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying
tester [92]

Answer: No, as the total cost of the 3 shirts w/ sales tax is $45.36 and she only has $45.

Step-by-step explanation:

Start by finding the price of one shirt on sale.

18*0.2

This equals 3.6 which is how much will be deducted from the original price.

One shirt costs 18-3.6\\ when its 20% off.

This is equal to $14.40.

Since she wants to buy 3 of them we just multiply the $14.40 by 3.

14.4*3=\\

This equals $43.2 but this is without a 5% sales tax which is normally added to the total end price.

To add a sales tax you take the sales tax percent plus 1 and multiply it to the $43.2.

43.2*1.05=\\

This means the total price of Kayla's purchase will be $45.36.

This is over her $45 she has so she can not buy it.

6 0
3 years ago
Y= 1/2x^2-2x+5 what is the vertex form?
lianna [129]
I really hope you understand the steps.

6 0
3 years ago
What are possible units for impulse? Check all that apply.
vivado [14]

Answer:

N s or Kg m/s

Step-by-step explanation:

Impulse is the product of the force and time or mass and velocity.

Impulse = force x time , or

Impulse  = mass x velocity

Therefore; the SI units of impulse is newton-second (N · s). Reduced to base units in the International System of Units ( SI ), a newton-second is the equivalent of a kilogram-meter per second (kg · m/s).

4 0
3 years ago
The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as
bija089 [108]

Answer:

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(score of the 36 golfers was between 70 and 71)

\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}

P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%

P(70 \leq x \leq 71) = 47.7\%

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

8 0
4 years ago
PLEASE HELP DUE AT MIDNIGHT
tatyana61 [14]

Answer:

268.1

Step-by-step explanation:

Area of Sphere =

\frac{4}{3} \pi {r}^{3}  \\  =  \frac{4}{3} \pi {4}^{3}  \\  = 268.1 {units}^{3} (nearest \: tenth)

3 0
3 years ago
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