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Wewaii [24]
3 years ago
10

1. Find the 90% Cl for the population mean if sample

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

2)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

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REY [17]

Answer:

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4) Removing the m and replacing with the congruent symbol.

I'm not too sure how this goes but it should be something like that.

5 0
3 years ago
Kayla is going to tile a 6 foot by 9 foot rectangular section of her bathroom wall with square tiles that measure 3 inches tall
Shkiper50 [21]

Answer: 864 tiles

Step-by-step explanation:

Rather than calculating the whole area of bathroom and area of one tile, It is quicker and easier to determine how many rows of tiles that will be needed.

Note that 1 feet = 12 inches

Each tile measures 3 inches on each side.

Length: 9 feet = 9 × 12 = 108 inches

Therefore, 108/3 = 36 tiles will fit along the length.

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So, (36 × 24) = 864 tiles will be needed.

8 0
3 years ago
The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of
lora16 [44]

Answer:

The dimension of the sandbox is (2x+1) by (x - 3)

Step-by-step explanation:

It seems the complete question will be:

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.

Step-by-step explanation:

From the question, the given expression is 2X^2-5x-3. This can be rewritten as

2x^{2} -5x-3

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.

Factorizing the expression 2x^{2} -5x-3, we get

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Hence, the dimension of the sandbox is (2x+1) by (x - 3)

6 0
3 years ago
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8_murik_8 [283]

Answer:

y^{2}=-16x

Step-by-step explanation:

we know that

The standard equation of a horizontal parabola is equal to  

(y-k)^{2}=4p(x-h)

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In this problem we have

(h,k)=(0,0) ----> vertex at origin

(h+p,k)=(-4,0)

so

h+p=-4

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substitute the values

(y-0)^{2}=4(-4)(x-0)

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8 0
3 years ago
Y=20+6x <br> x=150-4x<br> Solve with equal values method
katen-ka-za [31]

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

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HOPE THIS HELPS!!!!!!!!

//////////////////////////////////////////////////////////////////////////////////////////////////////////////

4 0
3 years ago
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