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3 years ago

Solve for x. 1.1x + 1.2x - 5.4 = -10

Mathematics

1 answer:

Andru [333]3 years ago

4 0

Answer:

x ≈ - 1.83

Step-by-step explanation:

to solve for x in the question 1.1x + 1.2x - 5.4 = -10

we have

2.3x - 5.4 = -10

collect the like terms

2.3x = -10 + 5.4

2.3x = -4.2

divide both sides by the coefficient of x

2.3x/2.3 = -4.2/2.3

x = -1.826

x ≈ - 1.83

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Solve for x. y=(x + a)m

Nikolay [14]

Answer:

x = y/m - a

Step-by-step explanation:

divide both side by m

y/m = x + a

subtract a from both sides

y/m - a = x

switch sides.

x = y/m - a

4 0

2 years ago

If an object is dropped from a height of 96ft, the function h(t) = -62 + 96 gives the height of the object after t seconds. When

Shalnov [3]

Answer:

Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.

Therefore the equation h(t) = 80t – 16t2 becomes 0= 80t – 16t2

Solving the equation for t gives 80t =16t2 or 16t=80 or t=5sec

The object hits the ground 5 seconds after it is launched.

7 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

3 years ago

A pencil is `120` millimeters long.

leva [86]

Given the length of the pencil, the length of the marker is 130.8 millimeters.

<h3>What are percentages?</h3>

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

<h3>How long is the marker?</h3>

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

To learn more about percentages, please check: brainly.com/question/25764815

6 0

2 years ago

Can't figure out number 6. need help!!

joja [24]

Answer:

Step-by-step explanation:

Definition of supplementary

3 0

3 years ago

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