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4 years ago

Write 56 1/4% as a fraction is simplest form

Mathematics

1 answer:

bazaltina [42]4 years ago

8 0

56.25% as a decimal is 0.5625

0.5626 is equal to 5625/10000, which can be simplified to 9/16

This is because the common factor of 5625 and 10000 is 625. We divide the numerator and denominator by 625 to achieve 9/16.

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A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their fou

Jet001 [13]

Answer:

We accept H₀. We don´t have enough evidence to support the difference between the two means

Step-by-step explanation:

Group 1 : Comunity College

Sample:

size : n₁ = 54

Sample mean x₁ = 947

Sample standard deviation s₁ = 254

Group 2 : Local University

Sample

size : n₂ = 66

Sample mean : x₂ = 1011

Sample standard deviation s₂ = 87

Significance level α = 0,05 α = 5 % CI = 95 %

Both samples are with n> 30 so we can use z table for the test

from z-table we find z(c) = 1,96

The problem statement establishes to run a hypothesis test to determine if the means are statistically the same ( or different) then we use two-tail-test

Hypothesis Test

Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂

Alternative hypothesis Hₐ x₁ - x₂ ≠ 0 or x₁ ≠ x₂

To calculate

z(s) = ( x₁ - x₂ ) / √ s₁²/n₁ + s₂²/n₂ )

z(s) = 947 - 1011 / √ (254)²/54 + (87)² / 66

z(s) = - 64 /√ 1194,74 + 114,68

z(s) = - 64 / 36,185

z(s) = - 1,77

Comparing modules of |z(c)| and |z(s)|

z(s) < z(c)

Then z(s) is in the acceptance region we accept H₀ . There is not enough evidence to support differences in the means of the two groups

3 0

3 years ago

Anestetic [448]

Answer:

D. 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Pre-Calculus

Unit Circle

Calculus

Derivatives
Derivative Notation
Derivative of tan(x) = sec²(x)

Step-by-step explanation:

Step 1: Define

$\frac{d}{dx} [tan(x)]\\x = \pi$

Step 2: Differentiate

Differentiate: $\frac{d}{dx} [tan(x)] = sec^2(x)$

Step 3: Evaluate

Substitute in x: $sec^2(\pi)$
Evaluate: $1$

7 0

3 years ago

What is 1.58 in standard form?

ella [17]

1 one and 58 hundredths.

I hope you like this answer, and have a good night and life! :D

8 0

4 years ago

A circular plate has a radius of 13 centimeters.

Tamiku [17]

Answer: $A=530.66\ cm^2$

Step-by-step explanation:

For this exercise it is necessary to remember that the area of a circle can be calculated with the following formula:

$A=\pi r^2$

Where "A" is the area of the circle and "r" is the radius of the circle.

In this case, based on the information given in the exercise, you know that the circular plate has the following radius:

$r=13\ cm$

Therefore, knowing the radius, you can substitute them into the formula and finally, you must evaluate in order to calculate the area of the plate (Remember that you must use 3.14 for $\pi$ ).

Then, you get that this is:

$A=\pi r^2\\\\A=(3.14)(13\ cm)^2\\\\A=530.66\ cm^2$

8 0

3 years ago

Solve the absolute value 3[z+7]=-12

Novay_Z [31]

$3|z+7|=-12\\|z+7|=-4\\\\z+7=-4\\z+7=4\\\\z=-11\\z=-3\\\\\\\sf{Plug~them~to~test~if~the~solution~is~correct.}\\\\ 3|-3+7|=-12 \\ 3 (4)\neq -12 \\ \\ 3
|-11+7|=-12\\ 3 (4)\neq-12 \\ \\ \\ \boxed{\sf{There~is~no~solution.}}$

5 0

4 years ago

Read 2 more answers