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Ipatiy [6.2K]
2 years ago
7

Find the quotient. thank you

Mathematics
2 answers:
Gnom [1K]2 years ago
8 0
5 1/4 ÷ 3/16

21/4 ÷ 3/16

=28
Leokris [45]2 years ago
4 0
The quotient of 5 1/4 and 3/16 is 28
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An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average
Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}= = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = (\frac{z_{0.005}\sigma}{E})^2

Here,

n is the sample size (or the minimum number of gas stations  )

on substituting the respective values, we get

= (\frac{z_{0.005}\sigma}{E})^2

= (\frac{2.58\times0.32}{0.06})^2

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

5 0
3 years ago
X/5=2/3=5/y<br><br> 2/3 <br> 4/9<br> 1
Mademuasel [1]
\frac{x}{5}= \frac{2}{3}  = \frac{5}{y}
Break the equation into parts;
\frac{x}{5} = \frac{2}{3} ;  \frac{2}{3}= \frac{5}{y}
Solving for x;
\frac{x}{5} = \frac{2}{3}
x=\frac{10}{3}
Solving for y;
\frac{2}{3} = \frac{5}{y} &#10;y= \frac{3*5}{2} &#10;y= \frac{15}{2}
\frac{x}{y} = \frac{10/3}{15/2}
\frac{x}{y} = \frac{4}{15}
5 0
3 years ago
I need help lol. Find the lateral surface area of the figure to the nearest tenth.
Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

A_1=8.5 \cdot 3.3 =28.1 ft^2

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

A_2 = 3.3\cdot 5.1 =16.8 ft^2

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

A_3 = 6.8\cdot 3.3 =22.4 ft^2

- Finally, we have 2 triangular faces (top and bottom), so their area is

A_T=\frac{1}{2}bh

where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2

So the total lateral surface area of the figure is:

A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2

5 0
3 years ago
Can you help me find a formula to solve this problem?
olasank [31]
Y=mx+b,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
6 0
3 years ago
Read 2 more answers
I need help with the first questions!!
solniwko [45]

Answer:

A

Step-by-step explanation:

Difference between (x) & (x')

P - P' = (2 - (-6) , 2 - 2) = (-8,0)

Q - Q' = (5 - (-3), 2 - 2) = (-8,0)

etc...

Always get (-8,0) hence -8 in x-direction

3 0
2 years ago
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