Help!!![tex]What is the measure of ∠L?[/tex]

Answer:

  x° ≈ 51.1°

Step-by-step explanation:

In this geometry, you are given the side opposite the angle, along with the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 14/18

  x° = arcsin(14/18) ≈ 51.0576°

  x° ≈ 51.1°

Answer:

Step-by-step explanation:

Answer:

So far Gerri is 1/3 complete and needs to be 1/2 complete by Friday. In order to find how much needs finished by Friday, we subtract the fractions.

1/2 - 1/3

1/2 + (-1/3)

3/6 + (-2/6)

(3+(-2))/6

1/6

Hope this helps

Answer:

A 5

B 16

E 8

F 10

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Hi,

x + 3y = 10

3y = 10 - x

y = -1/3x + 10/3

Your slope is -1/3

I hope this helps :)

Answer:

5 (blue) +3 (orange) +4 (red) =12 (total)

5 (blue) +3 (orange)=8 (number of marbles that aren't red) or 12 (total) - 4 (red marbles)=8

Answer:

the zero is at 4 (option 1)

and the minimum is -1 (option 2)

Step-by-step explanation:

the zero is at 4 (option 1)

and the minimum is -1 (option 2)

Answer:

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

In a random sample of 42 Democrats from one city, 10 approved of the mayor's performance.

This means that:

[tex]p_D = \frac{10}{42} = 0.2381, s_D = \sqrt{\frac{0.2381*(1-0.2381)}{42}} = 0.0657[/tex]

In a random sample of 58 Republicans from the city, 12 approved of the mayor's performance.

This means that:

[tex]p_R = \frac{12}{58} = 0.2069, s_R = \sqrt{\frac{0.2069*(1-0.2069)}{58}} = 0.0532[/tex]

Distribution of the difference:

[tex]p = p_D - p_R = 0.2381 - 0.2069 = 0.0312[/tex]

[tex]s = \sqrt{0.0657^2+0.0532^2} = 0.0845[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.645*0.0845 = 0.139[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.0312 - 0.139 = -0.1078

The upper end of the interval is the sample mean added to M. So it is 0.0312 + 0.139 = 0.1702

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

Answer:

C. $15.75

Step-by-step explanation:

If one costs $1.05, 15 would be:

15 (1.05) = 15.75

Answer:

15.75

Step-by-step explanation:

1.05 a gallon times 15 gallons is 15.75

Answer:

5

Step-by-step explanation:

yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5

Answer:

exponentialIt couldn’t be liner, liner is straight, the line is wriggly,, quadriceps obv no, so it has to be exponential.

Answer:

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8 and standard deviation 0.3.

This means that [tex]\mu = 8, \sigma = 0.3[/tex]

Sample of 4:

This means that [tex]n = 4, s = \frac{0.3}{\sqrt{4}} = 0.15[/tex]

What is the probability that the mean pH measurement of these four specimens is greater than 8.2?

This is 1 subtracted by the pvalue of Z when X = 8.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.2 - 8}{0.15}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

Answer:

$13.05

Step-by-step explanation:

The prize will be $13.05 after the discount.

29x45%=13.05

        OR

29x0.45=13.05

Answer: 1.39(1.006)^t

Step-by-step explanation:

The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

A statement that relates two unknown parameters such that one is dependent on the other is called a function.

It is given that

Initial population = 1.39 billion in 2013

Growth Rate = 0.6%

Let a represent the initial population

b is the growth rate

and 2 be the elapsed year from 2013

and let the population at any given year is P(t)

Then the equation formed is

P(t) = a * bⁿ

P(t) = 1.39 * ( 1.006)ⁿ

Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

To know more about Function

https://brainly.com/question/21145944

#SPJ2

Answer:

A = 12.25 sq inches

Step-by-step explanation:

A = (7.8/2)²π

A = 3.9²π

A = 12.25 sq inches

Answer:

$90

Step-by-step explanation:

Given data

Given data

Loss= $13.5

Percentage of the loss= 15%

Let the full loss be x

Hence we can find the value of x as

15/100*x= 13.5

0.15x= 13.5

divide both sides by x

x= 13.5/0.15

x= $90

Hence the loss in full is $90

the answer is 4 buses

Step-by-step explanation:

because you multiply 30 times 4 and it gives you you the right answers

Answer:

$6.73

Step-by-step explanation:

Since it says "answer in coins" she could have 24 quarters, 7 dimes, and 3 pennies.

I believe this correct but im not exactly sure

I hope this helps :)

Answer:

$6.73 || 26 quarters, 2 dimes, 3 pennies.

Step-by-step explanation:

If this isn't what you was asking sorry.

Answer:

3 ^7

Step-by-step explanation:

7 goes in the box

you could do 5 + 2 and that is 7

Answer:

pretty sure you're supposed to put 7 in the box bc when multiplying numbers with exponents you add the exponents

Step-by-step explanation:

sorry if I'm mistaken

Answer:

Step-by-step explanation:

A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.

From the given information:

Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.

From the image below, we represent:

P =students that played Paino

G = students that played guitar

F = students that played flute

P = 50

G = 68

F = 59

(PUG) -35

(PUF) = 59

(GUF) = 40

since the value of (PUGUF) is not given, we represent it with x.

See the attached image below for diagrammatic representation of the Venn diagram.

around 50%

Step-by-step explanation:

because 30 of half of 60

Answer:

$ 26.66

Step-by-step explanation:

Minus the orignal price and the sale price and then you will get the answer

Answer:

6x5x8=240 square miles ([tex]240^2}[/tex])

Answer:

48 ounces.

Step-by-step explanation:

Steps:

Combine the weight of the cats.

12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds

Convert to ounces.

33 pounds = 528 ounces

30 pounds = 480 ounces

Subtract the two/find the difference.

528 - 480 = 48.

The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.

Answer:

The length of the third side is less than 13.

Step-by-step explanation:

In any given triangle the sum of any two sides is longer than the length of the third side.

This means that the length of the third side has to be less than 13, since that is the sum of the lengths of the two shorter sides.

Answer:

0.8,1.4

Step-by-step explanation:

0.8 is the biggest portion of the candy

Answer:

5.6

Step-by-step explanation:

2.4 / 3 = x / 7

2.4 x 7 = 16.8

16.8 ÷ 3 = 5.6

Answer: 2(3x+1)

Step-by-step explanation:

2(3x+1) ==> 2(3x)+2(1)

6x+2

Answer:

2(3x + 1)

Hope that helps! :)

Step-by-step explanation: