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2 years ago

Solve the equation for x. Round your answer to the nearest hundredth 8(x-7)=454

Mathematics

2 answers:

timofeeve [1]2 years ago

4 0

Answer: 63.75 or 225/4

I just did it on an IT Inspired inspired Calculator to solve for X and 63.75

Naya [18.7K]2 years ago

4 0

Step-by-step explanation:

8(x - 7) = 454

x - 7 = 454/8

x - 7 = 57

x = 57 + 7

x = 64

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3 years ago

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Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base that

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Answer:

4 times as tall

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3 years ago

Using the numbers 1 through 9 only once in the boxes, what is the largest value of x you can get?

aliina [53]

Using the numbers 1 through 9 only once in the boxes, the largest value of x you can get is <u>7</u>.

<h3>What are mathematical operations?</h3>

Mathematical operations refer to the calculation of values using operands and mathematical operators.

Mathematical operations are formed like functions to take zero or more input values (operands) to a well-defined output value.

Some of the mathematical operators perform addition, subtraction, multiplication, division, exponentiation, and modulus operations.

<h3>Data and Calculations:</h3>

Mx + y = z

Let m = 1

x = 7

y = 2

1 x 7 + 2 = 9

7 + 2 = 9

9 = 9

Thus, using the numbers 1 through 9 only once in the boxes, the largest value of x you can get is <u>7</u>.

Learn more about mathematical operations at brainly.com/question/20628271

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6 0

1 year ago

Kelly solved an equation: H/ 4 - 11 = 13 using two inverse operations of adding 11 to both sides of the equations, and then divi

MariettaO [177]

Answer:

She should have multiplied by 4, not divided

Step-by-step explanation:

Given

$\frac{H}{4}$ - 11 = 13 ( add 11 to both sides ) ← correct

$\frac{H}{4}$ = 24 ( multiply both sides by 4 to clear the fraction )

H = 4 × 24 = 96

H is divided by 4, thus the inverse operation is to multiply

6 0

2 years ago

A researcher collected data on the hours of TV watched per day from a sample of five people of different ages. Here are the resu

frozen [14]

Answer:

1. The least squares regression is y = -0.1015·x + 6.51

2. The independent variable is b) age

Please see attached table

Step-by-step explanation:

The least squares regression formula is given as follows;

$\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}}$

We have;

$\bar x$ = 24

$\bar y$ = 4

$\Sigma (x_i - \bar x) (y_i - \bar y)$ = -79

$\Sigma (x_i - \bar x)^2$ = 778

$\therefore \hat \beta =\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}} = \frac{-79}{778} = -0.1015$

The least squares regression is y = -0.1015·x + α

∴ α = y -0.1015·x = 6 - (-0.1015 × 5) = 6.51

The least squares regression is thus;

y = -0.1015·x + 6.51

2. The independent variable is the age b)

3. Steps to create an ANOVA table with α = 0.05

The overall mean = (43 + 30 + 22 + 20 + 5 + 1 + 6 + 4 + 3 + 6 )/10 = 14

There are 2 different treatment = $df_{treat} = 2 - 1 = 1$

There are 10 different treatment measurement = $df_{tot} = 10 - 1 = 9$

$df_{res} = 9 - 1 = 8$

$df_{treat} + df_{res} = df_{tot}$

The estimated effects are;

$\hat A_1 = 24 - 14 = 10$

$\hat A_2 = 4 - 14 = -10$

$SS_{treat} = 10^2 \times 5 + (-10)^2 \times 5 =1000$

$\sum_{i}\SS_{row}_i = \sum_{i}\sum_{j} (y_{ij} - \bar y)= [(1 - 4)^2 + (6 - 4)^2 + (4 - 4)^2 + (3 - 4)^2 + (6 - 4)^2] = 18$

$\sum_{i} S S_{row}_i = \sum_{i}\sum_{j} (y_{ij} - \bar y) ^2= [(43 - 24)^2 + (30 - 24)^2 + (22 - 24)^2 + (20 - 24)^2 + (5 - 24)^2] = 778$

$S S_{res} = \sum_{i} S S_{row}_i = 778 + 18 = 796$

$SS_{tot}$ = (43 - 14)² + (30 - 14)² + (22 - 14)² + (20 - 14)² + (5 - 14)² + (1 - 14)1² + (6 - 4 )² + (3 - 14)² + (6 - 14)² = 1796

$MS_{treat} = \dfrac{SS_{treat} }{df_{treat} } = \dfrac{1000}{1} = 1000$

$MS_{res} = \dfrac{SS_{res} }{df_{res} } = \dfrac{796}{8} = 99.5$

F- value is given by the relation;

$F = \dfrac{MS_{treat} }{MS_{res} } = \frac{1000}{99.5} = 10.05$

We then look for the critical values at degrees of freedom 1 and 8 at α = 0.05 on the F-distribution tables 5.3177

Hence; $F = 10.05 > F_{1,8}^{Krit}(5\%) = 5.3177$ , we reject the null hypothesis.

7 0

2 years ago