What is the value of R?

Simplify: -51 - (-7½)

Arada [10]

Answer:

-43.5 or -43 1/2

3 0

3 years ago

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Given point T(-6,-3) and point K(2,3), find the distance from point T to point K.

navik [9.2K]

Answer:

$d = 10$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point T (-6, -3)

Point K (2, 3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]: $d = \sqrt{(2+6)^2+(3+3)^2}$
Add: $d = \sqrt{(8)^2+(6)^2}$
Exponents: $d = \sqrt{64+36}$
Add: $d = \sqrt{100}$
Evaluate: $d = 10$

7 0

3 years ago

The math department faculty at a large university wanted to know what portion of the student body believes students should be ab

Leya [2.2K]

Answer:

The population of interest for this student is the students whom are enrolled in statistics classes.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

The population of interest are all residents of New York State.

A simple random sample of 500 students was selected from all the students enrolled in statistics classes.

This means that the population of interest for this student is the students whom are enrolled in statistics classes.

3 0

3 years ago

Bryce is building a triangular prism for a roof of a dollhouse. All the sides of the roof will be painted except the bottom. Whi

Maslowich

Answer:

the 3 one

Step-by-step explanation:

i got a 100%

3 0

3 years ago

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A company pays its employees an average wage of $17.90 an hour with a standard deviation of $1.50. If the wages are approximatel

Viefleur [7K]

Answer:

$20.84

Step-by-step explanation:

To solve the above question, we would be using the z score formula

The formula for calculating a z-score :

z = (x - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation

x = unknown

μ = $17.90

σ = $1.50

We were not given z score in the above question but this can be determined.

We are told in the question to find the amount that the highest 2.5% of the employees hourly wages is greater than.

Hence, our confidence interval = 100 - 2.5 = 97.5%

The z score for 97.5% = 1.96

Below are inequalities equations with more explanation.

P(X ≥ x) = 2.5% = 0.025

P(X ≤ x) = 1 - 0.025 = 0.975

P (X - μ)/σ ≤ (x - μ)/σ) = 0.975

z ≤ (x - μ)/σ = 0.975

z ≤ 1.96 = 0.975

z = (x - μ)/σ,

1.96 = x - 17.90/1.5

Cross Multiply

1.96 × 1.5 = x - 17.90

x = (1.96 × 1.5) + 17.90

x = 2.94 + 17.90

x = 20.84

Therefore, the amount that the highest 2.5% of the employees hourly wages is greater than is $20.84

5 0

3 years ago