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3 years ago

Translate equation:

Mathematics

2 answers:

mario62 [17]3 years ago

4 0

Hello...

The sum of twice a number six is the same as three subtracted from the number itself.

Answer - 2x + 6 = 3 - x

algol133 years ago

3 0

2x+6=3-x should be the correct answer

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A sweatshirt that was originally priced at $42.50 has been marked down to $34.00. What is the percent decrease?

Radda [10]

There was a 20% decrease from $42.50 to $34.00. You can model this by multiplying 42.50 by 0.80, which gives you 34.

8 0

3 years ago

Read 2 more answers

City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

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3 years ago

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A lender estimates that the closing costs on a $220,400 home loan will be $6,612. The actual closing costs were 3.25% of the loa

nata0808 [166]

Answer:

$1551yy445454(46 \frac{ \frac{ \frac{ \frac{654646 {?}^{2} }{?} }{?} }{?} }{?} = \sqrt[020311 {611351y84}^{?} \times \frac{?}{?} ]{?}$

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2 years ago

Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 3 to

Korvikt [17]

Answer:

Step-by-step explanation:

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3 years ago

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If you got a 1.25% interest rate how long would you need to invest $6000 if you wanted to earn $105 in interest

gavmur [86]

Answer:

1.4 years

Step-by-step explanation:

Use the formula for simple Interest:

$I = P * r * t$

Where I is the interest gained (in your case $105),

P is the principal (in your case $6000),

r is the annual interest rate in decimal form (in your case 0.0125)

and t is the time (in years) you need to find.

Therefore, we $105 = 6000 * 0.0125 * t = 75 * t\\t = \frac{105}{75} = 1.4 years$ solve for "t" in the following equation:

3 0

3 years ago