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Anvisha [2.4K]
4 years ago
13

Please help me solve this, and show your work

Mathematics
1 answer:
zlopas [31]4 years ago
6 0

6r+5=11r\ \ \ \ |\text{subtract 6r from both sides}\\\\5=5r\ \ \ \ |\text{divide both sides by 5}\\\\\boxed{r=1}\\-------------------------\\\dfrac{2x-4}{2}=6x+3\\\\\dfrac{2x}{2}-\dfrac{4}{2}=6x+3\\\\x-2=6x+3\ \ \ \ \ |\text{add 2 to both sides}\\\\x=6x+5\ \ \ \ |\text{subtract 6x from both sides}\\\\-5x=5\ \ \ \ \ |\text{divide both sides by -5}\\\\\boxed{x=-1}

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a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the
horsena [70]

Answer:

The 95% confidence interval for the mean score is:

\mu ∈ (67.73,\ \ 84.67)

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is {\displaystyle {\overline {x}}}

Since the sample size is 27 then we use the  statistic  t_{\frac{\alpha}{2}}  with 27-1 = 26 degrees of freedom

The confidence interval for the mean is:

({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})

Where

{\displaystyle {\overline {x}}}=76.2 is the average score of the sample

S=21.4 is the standard deviation of the sample

n= 27 is the sample size

t_{\frac{\alpha}{2}} = 2.056 for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

(76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})

(76.2 + 8.467,\ \ 76.2 - 8.467)

\mu ∈ (67.73,\ \ 84.67)

7 0
3 years ago
Como puedo calcular tasa de crecimiento?
Gwar [14]

Answer:

Si quiere decir en un gráfico, busque cuántas unidades se eleva la coordenada y, a continuación, se ejecuta (izquierda o derecha).

Si algo no suena lo siento mi español es malo. ;--;

5 0
3 years ago
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what number should be added to the expression x^2 + 10x to change it into a perfect square trinomial?​
Annette [7]

Answer:

\large\boxed{5^2=25}

Step-by-step explanation:

\text{Perfect square:}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+10x\\\Downarrow\\x^2+2(x)(5)\\\Downarrow\\x^2+2(x)(5)+5^2=(x+5)^2

3 0
3 years ago
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If cos θ= -5/13 and sin θ<0 what is tan θ
Arlecino [84]
Both cosθ and sinθ are negative so θ is in the third quadrant ( tan<span>θ is positive)
</span>
tan<span>θ = 5/12
</span>

8 0
3 years ago
Read 2 more answers
Please help!! Only answer if you know the answer. Thank you.
Vedmedyk [2.9K]

ANSWER: Tim Carter's weekly pay was $282.25.

I will work on Tim Carter's weekly pay. Because he worked 50 hours, and there are 40 regular hours, he worked 10 overtime hours.

To find out his regular pay, we need to multiply his regular pay by his regular hours.

40 * 5.15 = 206

Tim Carter makes $206 for his regular hours. To find out his overtime pay, we need to multiply his regular pay by his overtime hours, then multiply that product by 1.5.

10 * 5.15 = 51.5\\\\51.5 * 1.5 = 77.25

Tim Carter makes $77.25 for his overtime hours. Lastly, add the regular pay and his overtime pay to get his weekly pay.

206 + 77.25 = 283.25

Tim Carter's weekly pay was $283.25.

3 0
4 years ago
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