Triangle L N M is shown. Angle L N M is 90 degrees and angle N M L is 20 degrees. The length of L N is 21.
Use the diagram to complete the statements.

The measure of angle L is
°.

The trigonometric ratio that uses ∠M and LN to solve for NM is
.

The length of NM, to the nearest tenth, is approximately
.

Answer:

a) The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b) No, since May is a month with a wide range of possible weather.

Step-by-step explanation:

a)

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.

This means that [tex]p = 0.42, n = 1001[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.3798[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.4602[/tex]

The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b. Do you think it is reasonable to generalize this estimate to other months of the year

No, since May is a month with a vast number of possible outcomes, as it is in the spring, not being in the winter(cold) or summer(hot), which means that it can be both hot or cold, wet or dry,...

Answer:

Step-by-step explanation:

Answer:

x=-5, y=-8

Explanation:

I did it already

Answer:

250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Step-by-step explanation:

Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:

100 x 0.6 + 0 x 0.92 = 60

90 x 0.6 + 10 x 0.92 = 63.2

80 x 0.6 + 20 x 0.92 = 66.4

70 x 0.6 + 30 x 0.92 = 69.6

65 x 0.6 + 35 x 0.92 = 71.2

63 x 0.6 + 37 x 0.92 = 71.84

62.5 x 0.6 + 37.5 x 0.92 = 72

400 x 0.625 = 250

Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Answer:

Options 2), 4 , and 5 are CORRECT

Step-by-step explanation:

Notice that z * 3  1/3 = z * (3 + 1/3) = z * (9/3 + 1/3) = z * 10/3 = 10/3 z

1)  The first option is not good'

2) 6 z - 2/3 z - 3 z + z = 4 z - 2/3 z = 12/3 z - 2/3 z = 10/3  z  So this option is CORRECT

3) z * 4 - 2/3 is not good since 2/3 is not multiplied by z

4) z ( 4 - 2/3) = z (12/3 - 2/3) = z * 10/3  so this one is CORRECT

5)  z (1 / 3 + 3) = z ( 1/3 + 9/3 ) = z (10/3)  So this one is also CORRECT

Answer:

B.$149.00

Step-by-step explanation:

=$42.00÷3=$14.00

=$14.00×10=$140.00

Im sorry if this not helpfull

Have a nice day

Answer:

15.8

Step-by-step explanation:

We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find

t=4000−−−−√4=15.8

So, the hammer reaches the river after 15.8 seconds.

Answer:

becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.

Step-by-step explanation:

BRAINLIST PLEASE!

Meaning of decreased in math is, get smaller in size, number or quantity.

We have to given that,

To defined decreased mean in math.

We know that,

We use minus sign to denote subtract, decreased by, take away, etc.

For example, Minus sign also means how much is one value more than the other value.

Hence, Meaning of decreased in math is, get smaller in size, number or quantity.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

-21

Step-by-step explanation:

-3a + 5b - c

-3(2)+5(-1)-(10)=-21

Answer:

ML2T-2

Step-by-step explanation:

Answer:

b. 300

i need 20 words this is filler                                  

Answer:

he will have $127 by the end of the week

Answer:

I think the answer is 3 3/4

Step-by-step explanation:

5 × 3/4 = 15/4

15/4 = 3 3/4

Answer:

12ft

Step-by-step explanation:

Answer:

I have attached a picture of me solving the equation.

Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.

The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.

The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.

Hope this helps, thank you !!

Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.

Step-by-step explanation:

Answer:

The ratios change as the position of D changes, but the two ratios remain equal to each other

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are given a rectangular prism as shown.

Part A: After slicing the rectangular prism with a plane parallel to the base, we see that the cross-sectional region will be similar to a rectangle.

Thus, the cross-sectional region is a RECTANGLE.

Answer:

triangle

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Just grap any two consecutive terms in the sequence. lets say -55 and -50

-50-(-55) = 5

you can check this by picking two other terms

Answer:

f(x)=6x^2-6x

Step-by-step explanation:

#The x side is same with 80° so

11x + 3 = 80°

11x = 80 - 3

11x = 77

x = 7

Answer:

A) Beta-hat one = -0.547

   Beta-hat zero = 12.2837

b) attached

C) y = $7.904

Step-by-step explanation:

hello attached below is the detailed solution and the table

A) Calculate Beta-hat Zero and Beta-hat one

Beta-hat one :

∑ ( xi - x ) (yi - y ) / ∑ (xi - x )^2

= -22.4 / 40.9 = -0.547

Beta-hat zero :

Y - Beta-hat one * X

= 8.4 - (-0.547 )(7.1 )  = 12.2837

B) Calculate R^2 and R^2

attached below

C) using Regression equalia to determine the level of per capita income

y = 12.28 - 0.547 * x

where x = 8

hence Y = $7.904

Answer: the power so ans should be 81

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

46/22=46+23/x

46x=22 times 69

46x=1518

x=33

Answer:

Step-by-step explanation:

0,5

Answer:

Step-by-step explanation:

Alright so we are going to solve

5x ≥ 25  Divide both sides by 5

x≥5

Answer:

part A maybe

Step-by-step explanation:

3/4+1/8 =7/8

part B

5/8 cups