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3 years ago

What is the sum of (7x-6y) and (x+y)

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

(7x-6y)+(x+y) add them because sum means you're doing addition...

7x-6y+x+y
8x-5y

(Remember that x=1x and y=1y)

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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

Evaluate each expression for s=4 and t=8 1) (25)^2t 2) 2st^2-5^2 3) 2s^2-t^3/16

stepladder [879]

Answer:

1. 2.328× $10^{22}$

2. 487

3. 30.52 OR 0 (see explanation↓)

Step-by-step explanation:

1. $(25)^{2t}$

(sub for t=8)

= $25^{2*8}$

= $25^{16}$

=2.328× $10^{22}$

2. $2st^{2} -5^{2}$

(sub for s=4 and t=8)

=2×4× $8^{2}$ - $5^{2}$

=512-25

=487

3. $2s^{2} -t^{3/16}$ (the equation is not clear so I will do $2s^{2} -\frac{t^{3} }{16}$ as well)

FOR $2s^{2} -t^{3/16}$

(sub s=4 and t=8)

=2× $4^{2}$ - $8^{3/16}$

=32-1.476826146

=30.52 (to the nearest 2 decimal place)

FOR $2s^{2} -\frac{t^{3} }{16}$

(sub s=4 and t=8)

=2× $4^{2}$ - $\frac{8^{3} }{16}$

=32-32

5 0

3 years ago

Which value of x would create a proportional relationship between the total pages Jenny read and the time?

zysi [14]

Answer:

x=12

Step-by-step explanation:

3 0

3 years ago

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Simply the expression given below.

Grace [21]

Answer:

install socratic and by suerte i think es A

Step-by-step explanation:

8 0

3 years ago

Find the x-intercept and y-intercept from the following linear equation: 9x - 3y = -81

kaheart [24]

Answer:

The x-intercept is (-9,0). The y-intercept is (0,27).

Step-by-step explanation:

9x - 3y = -81

-9x -9x Subtract 9x from both sides

-3y = -9x - 81 Divide both sides by -3

y = 3x + 27

I graphed the equation below.

5 0

3 years ago

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