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3 years ago

8.

Mathematics

1 answer:

3241004551 [841]3 years ago

5 0

Answer:

Below are the steps to solve an equation:

Step 1: |x − 5| + 2 = 5

Step 2: |x − 5| = 5 − 2

Step 3: |x − 5| = 3

Which of the following is a correct next step to solve the equation?

Step-by-step explanation:

You might be interested in

If f(x)=|2x-4| find f(-7)

Yuri [45]

Answer:

Step-by-step explanation:

sub in x = -7 into the equation

f(-7) = |-14-4| = |-18| = 18

4 0

1 year ago

After 5 years, a $2,450 investment is worth $3,123.75.

kondaur [170]

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

$r=\frac{I}{Pt}$

I = interest amount

P = principal amount

t = time (years)

The first step is to find the interest gained from the investment.

$3,123.75-2,450=673.75$

Next, plug in the values into the equation:

$r=\frac{673.75}{(2,450)(5)}$ Multiply the bottom values

$r=\frac{673.75}{12,550}$ Divide the values

$r=.055$

The last step is to convert 0.055 into a percent:

$0.055(100)=5.5$

The interest rate is 5.5%

3 0

3 years ago

Trina's science club is building bluebird houses to put in the local park. For the first 1/6 dozen bird houses, Trina finds that

meriva

Answer:

4.5 foot is needed for a unit dozen bird house

Explanation:

Given Tina saw ¾ foot of wooden trim is being used for first 1/6 dozen bird houses

Therefore, we can write as,4

1/6 dozen = ¾ foot

For 1 dozen bird houses, we have to use the unitary method

1/6 dozen = ¾ foot

Therefore, 1 dozen or unit dozen = $\frac{\frac{3}{4}}{\frac{1}{6}}$

1 dozen = ¾ * 6 = $\frac{9}{2}$ foot = 4.5 foot

Therefore, 4.5 foot is needed for a unit dozen bird house

3 0

3 years ago

Simplify completely quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36 .

adoni [48]

Answer:

(2x + 5)/(x - 9)
3. quantity 2 x plus 5 over x minus 9

Step-by-step explanation:

Quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36

(2x² + 13x + 20)/(x² -5x - 36) =
(2x²+ 5x + 8x + 20)/(x² - 9x + 4x -36)=
(2x + 5)(x + 4)/(x - 9)(x + 4) =
(2x + 5)/(x - 9)

Correct option is option 3

3 0

4 years ago

A survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10. (a)

skad [1K]

Answer:

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

b) The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

Step-by-step explanation:

Step:-(i)

Given data a survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10

The sample size 'n' = 25

The mean of the sample x⁻ = $28

The standard deviation of the sample (S) = $10.

Level of significance ∝=0.05

The degrees of freedom γ =n-1 =25-1=24

tabulated value t₀.₀₅ = 2.064

Step 2:-

The 95% of confidence intervals for the average spending

( $(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

$(28 - 2.064 \frac{10}{\sqrt{25} } ,28 + 2.064\frac{10}{\sqrt{25} } )$

( 28 - 4.128 , 28 + 4.128)

(23.872 , 32.128)

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

Null hypothesis: H₀:μ<30

Alternative Hypothesis: H₁: μ>30

level of significance ∝ = 0.05

The test statistic

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

$t = \frac{28-30 }{\frac{10}{\sqrt{25} } }$

t = |-1|

The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

Conclusion:-

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

8 0

3 years ago