The right answer can you help me plz

Solve the inequality:-3x-4/7 >5

Aliun [14]

x < - $\frac{13}{7}$

add $\frac{4}{7}$ to both sides

- 3x > $\frac{4}{7}$ + $\frac{35}{7}$

- 3x > $\frac{39}{7}$ ( divide both sides by - 3 )

note that when we divide/ multiply by a negative quantity we must reverse the inequality symbol

x < - $\frac{13}{7}$

6 0

3 years ago

A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen

tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average desired retirement age = 55 years

$\sigma$ = sample standard deviation = 3.4 years

n = sample of seniors = 101

$\mu$ = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, $\mu$ is ;

P(-2.114 < $t_1_0_0$ < 2.114) = 0.96 {As the critical value of t at 100 degree

of freedom are -2.114 & 2.114 with P = 2%}

P(-2.114 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.114) = 0.96

P( $-2.114 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $55-2.114 \times {\frac{3.4}{\sqrt{101} } }$ , $55+2.114 \times {\frac{3.4}{\sqrt{101} } }$ ]

= [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0

2 years ago

Help please? This is my homework for today so yea

MrRa [10]

The volume equals length x width x height so multiply all of those with a calculator and you’ll get your answer hope I helped :)

8 0

2 years ago

Read 2 more answers

Shawn made a scale drawing of a house and its lot. The scale he used was 13 inches = 5 feet. The backyard is 104 inches in the d

NemiM [27]

13 inches = 5 feet

----------------------------
Find 1 inch:
----------------------------
1 inch = 5/13 feet

----------------------------
Find 104 inches:
----------------------------
104 inches = 5/13 x 104 feet
104 inches = 40 feet

--------------------------------------------------------
Answer: 40 feet
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6 0

3 years ago

What are edges?<img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">

jenyasd209 [6]

Edges are a small amount of baby hair on the edge of the yest of your hair

6 0

2 years ago