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4 years ago

Use technology or a z-score table to answer the question.

Mathematics

1 answer:

FinnZ [79.3K]4 years ago

6 0

Answer:

Step-by-step explanation:

First we find the z-score.

z = (x - μ) / σ

z = (520 - 500) / 60

z = 0.33

Using a calculator or z-score table:

P(z < 0.33) = 0.6293

The probability is approximately 63%. Answer C

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Find f(-6) f(x) = 2^x

Korvikt [17]

Answer:

f(-6) = 1/64

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Step-by-step explanation:

Step 1: Define

f(x) = 2ˣ

f(-6) is x = -6 for function f(x)

Step 2: Evaluate

Substitute in x [Function]: f(-6) = 2⁻⁶
Exponential Rule - Rewrite: f(-6) = 1/2⁶
Exponents: f(-6) = 1/64

6 0

3 years ago

Solve the equation by completing the square x^2-3x-18=0

Alexandra [31]

Answer:

x = -3, 6

Step-by-step explanation:

First, add 18 to both sides

x² - 3x - 18 = 0

+ 18 + 18

x² - 3x = 18

Add 9/4 to both sides because that is the square of half of -3

x² - 3x + 9/4 = 18 + 9/4

Multiply both sides by 4 to get rid of the fractions

(x² - 3x + 9/4 = 18 + 9/4)4

4x² - 12x + 9 = 72 + 9 = 81

Factor the left side of the equation

(2x - 3)² = 81

√(2x - 3)² = √81

Because of the square root, this will result in a positive number and a negative number

2x - 3 = 9

2x - 3 = -9

For both equations, add 3 to both sides then divide by 2

2x - 3 = 9

+ 3 +3

2x = 12

2x/2 = 12/2

x = 6

2x - 3 = -9

+ 3 + 3

2x = -6

x = -3

4 0

2 years ago

Twenty different statistics students are randomly selected. For each of them, their body temperature (degrees°C) is measured a

denis-greek [22]

Answer: the answer is b.

r = 0 means that there is not a linear relationship between both variables, but there are other types of relationships that can be happening here.

you for example can have a quadratic relation or something weirder.

6 0

3 years ago

The weather forecast states that the temperature will be lower than -5*F tonight. Let t represent the temperature in degrees Fah

nikdorinn [45]

SO IT IS POSITIVE. THAT IS CONFUSING lol!

5 0

4 years ago

Two fifths of the girls in school signed up to play softball. An equal number of girls signed up to play pitcher, infield and ou

podryga [215]

The fraction of the girls signed up to play outfield is $\frac{2}{15}$

Solution:

Given that Two fifths of the girls in school signed up to play softball

An equal number of girls signed up to play pitcher, infield and outfield

So there are 3 equal groups formed from two fifth

This means that we could divide the 2/5 initial group into 3 equal smaller groups for each play pitcher, infield and outfield

Therefore, fraction of the girls signed up to play outfield is found by dividing $\frac{2}{5}$ by 3

$\text{ Fraction of girls play outfield } = \frac{\frac{2}{5}}{3}\\\\\text{ Fraction of girls play outfield } = \frac{2}{5} \times \frac{1}{3}\\\\\text{ Fraction of girls play outfield } = \frac{2}{15}$

Thus fraction of the girls signed up to play outfield is $\frac{2}{15}$

4 0

3 years ago