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Reptile [31]
4 years ago
6

Please help and answer both questions i will really appreciate it

Mathematics
1 answer:
vladimir1956 [14]4 years ago
6 0

Answer for 1. X=12.5

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Alicia uses 3/4 gallon of paint to paint her room. Becca uses for 4/5 gallon more than Alicia to paint her room. How many gallon
Maurinko [17]

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = \frac{3}{4} + \frac{4}{5}

Total paint used together = Aliccia used + Becca used

\frac{3}{4}+\frac{3}{4} + \frac{4}{5}

Add like fractions 3/4 + 3/4 becomes 6/4

\frac{6}{4} + \frac{4}{5}

Make the denominators same

\frac{6*5}{4*5} + \frac{4*4}{5*4}

\frac{30}{20} + \frac{16}{20}

\frac{46}{20}

Divide top and bottom by 2

\frac{23}{10} gallons



6 0
3 years ago
A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d
Helga [31]

Answer:

ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =80 represent the population standard deviation

n=400 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

Since the Confidence is 0.94 or 94%, the value of \alpha=0.06 and \alpha/2 =0.03, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that z_{\alpha/2}=1.8808

The margin of error is given by:

ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232

4 0
4 years ago
Find the point that lies on the line described by the equation below. y - 4 = -2(x - 6)?
kherson [118]
(0,16)

<span>y - 4 = -2(x - 6)
y - 4 = -2x + 12
y = -2x + 12 + 4
y = -2x + 16
and the y-intercept is (0,16) which lies on the line of </span><span>y - 4 = -2(x - 6). </span>
4 0
4 years ago
Please help me with questions 18 and 19
pshichka [43]
18) answer is A: Reflect across the line y = -3. This is the horizontal line that cuts the trapezoid in half, forming a mirror image so to speak. 

--------------------------------------------------------------

19)

Answer is choice A) 2
CB/GF = CD/GH
6/3 = 4/GH
6*GH = 3*4
6*GH = 12
GH = 12/6
GH = 2

6 0
3 years ago
A tank in the shape of an inverted right circular cone has height 4 meters and radius 2 meters. It is filled with 2 meters of ho
PtichkaEL [24]

The solution is in the attachment

8 0
4 years ago
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