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2 years ago

How to do this ??????

Mathematics

1 answer:

sergeinik [125]2 years ago

8 0

the answer would be a or b. Turn on verified mode for professionals to answer)

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I don't know what to do.

Scorpion4ik [409]

Answer:

13 Compute using the 2 right angles, we know that m<FIG=90* and

3 0

2 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

3 years ago

If synthetic division reveals a zero, why should we try that value again as a possible solution?

9966 [12]

Polynomials can have double roots, in fact they're pretty common. if you get a reasonable zero it costs very little time to try it again for a double root. answer is the second choice

6 0

2 years ago

Read 2 more answers

A village water tank measures 8m x5m x 3m. What is the capacity of the tank when full?

Bad White [126]

Answer:

Hence, the capacity of the tank when full is 120 cubic m.

Step-by-step explanation:

The measures of water tank is 8m x 5m x 3m.

The capacity of the tank when full is nothing but the capacity of the full tank which is the multiples of given dimensions.

The capacity of the tank when full is,

8m x 5m x 3m = 40 m^2 x 3m

= 120 m^3.

Hence, the capacity of the tank when full is 120 cubic m.

3 0

2 years ago

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin

Tanya [424]

Let the coordinates of the treasure be (x,y).
Let $d_{1}$ = distance from the rock to the treasure.
Let $d_{2}$ = distance from the tree to the treasure.
$d_{1} = \sqrt{(x\2 + (y-2)^2}$
$d_{2} = \sqrt{(16-x)^2 + (21-y)^2}$
We want $\frac{ d_{1} }{ d_{2} }$ = 5/9 in order to locate the treasure.

Note that 5/9 = 0.556 (approx)
Test (11.4, 14.2)
d1 = 14.8, d2 = 8.2, d1/d2 = 1.8 Incorrect
Test (7.6, 8.8)
d1 = 8.2, d2 = 14.8, d1/d2 = 0.554 Correct
Test (5.7, 7.5)
d1 = 6.13, d2 = 16.98, d1/d2 = 0.36 Incorrect
Test (10.2, 12.6)
d1 = 12.8, d2 = 10.2, d1/d2 = 1.255 Incorrect

Answer: The correct answer is (7.6, 8.8)

4 0

2 years ago

Read 2 more answers