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2 years ago

What is the value of x? 0.9(x 1.4)−2.3 0.1x=1.60.9(x 1.4)−2.3 0.1x=1.6 enter the answer as a decimal

Mathematics

2 answers:

Fantom [35]2 years ago

7 0

0.9(x + 1.4) - 2.3 + 0.1x = 1.6
0.9x + 1.26 - 2.3 + 0.1x = 1.6
x - 1.04 = 1.6
x = 1.6 + 1.04 = 2.64
x = 2.64

inysia [295]2 years ago

3 0

Answer:

2.64

Step-by-step explanation:

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You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount.

Romashka-Z-Leto [24]

Answer:

a) $T(x)=300x+18x=318x$

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Step-by-step explanation:

We have that:

$Tires=$300\\Tax=0.006\\Discount=0.1\\$

And we have $10 free of taxes.

Making x= number of tires to buy, then we have that the total cost of tires is:

$Total_{Tires}=300x$

So, what we pay for taxes is given by:

$Taxes=(300x)(0.06)=18x$

a) Then, according to the above, we can write down the total cost before the discount as:

$T(x)=300x+18x=318x$

b) And the total cost after discounts, is then given by:

$D(x)=318x-(0.1)(318)+10x\\=296.2x$

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2 years ago

The sample consisted of 50 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 25 day students,

bulgar [2K]

Answer: The test statistic is t= -0.90.

Step-by-step explanation:

Since we have given that

n₁ = 50

n₂ = 25

$\bar{x_1}=3.02\\\\\bar{x_2}=3.04\\\\\sigma_1=0.08\\\\\sigma_2=0.06$

So, s would be

$s=\sqrt{\dfrac{n_1\sigma_1^2+n_2\sigma_2^2}{n_1+n_2-2}}\\\\s=\sqrt{\dfrac{50\times 0.08^2+25\times 0.06^2}{50+25-2}}\\\\s=0.075$

So, the value of test statistic would be

$t=\dfrac{\bar{x_1}-\bar{x_2}}{s(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\t=\dfrac{3.02-3.04}{0.074(\dfrac{1}{50}+\dfrac{1}{25})}\\\\t=\dfrac{-0.04}{0.074(0.02+0.04)}\\\\t=\dfrac{-0.04}{0.044}\\\\t=-0.90$

Hence, the test statistic is t= -0.90.

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2 years ago