Find the value of x in the triangle shown below 4 3

Answer:

cos A = [tex]\frac{35}{37}[/tex]

Step-by-step explanation:

cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{35}{37}[/tex]

Answer:

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 8989 and standard deviation 52.92.

Step-by-step explanation:

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 number of steps per day is 8989 with a standard deviation of 688.

This means that [tex]\mu = 8989, \sigma = 688[/tex]

Describe completely the sampling distribution of the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.

Sample of 169 means that [tex]n = 169[/tex]

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean [tex]\mu = 8989[/tex] and standard deviation [tex]s = \frac{688}{\sqrt{169}} = 52.92[/tex].

Answer:

Steps 4 and 5

Step-by-step explanation:

Paula divided both sides in 4 and 5 to keep the equations equal.

Hope that this helps!

9514 1404 393

Answer:

  see below

Step-by-step explanation:

This is all about number sense: ordering and naming numbers. If you know your multiplication tables and a few key vocabulary words, that's all you need.

1a. perfect square

1b. irrational number

1c. greater than

__

2a. less than; greater than

2b. perfect square

2c. approximation

__

3a. square root

3b. square root

3c. approximation

3d. order; less than; less than

_____

When you fill in the blanks, the statements pretty much explain themselves.

__

Additional comment

For positive numbers, square and square root are operations that preserve order. That is, the square of a larger number is larger than the square of a smaller number. Likewise, the square root of a larger number is larger than the square root of a smaller number. Here, ...

  81 > 64 > 44   ⇔   √81 > √64 > √44.

If a number is not a perfect square (a number multiplied by itself), then its square root is irrational.

Answer:

D, F

Step-by-step explanation:

3^4 is 81, D and F are both equal to 81.

Answer:

m=4

Step-by-step explanation:

can i have brainllest

Answer:

[tex]BM = 14[/tex]

Step-by-step explanation:

Given

The attached triangles

Required

Find BM

We have that:

ABC is similar to JHG

This implies that:

AB corresponds to JH

BC corresponds to HG

AC corresponds to JG

BM corresponds to HN

Hence, HN can be solved using the following equivalent ratios

[tex]AB : BM = JH:HN[/tex]

From the attachment;

[tex]AB = 21; JH = 24[/tex]

So, we have:

[tex]21 : BM = 24:16[/tex]

Express as fraction

[tex]\frac{21 }{ BM }= \frac{24}{16}[/tex]

Cross multiply

[tex]BM * 24 = 21 * 16[/tex]

[tex]BM * 24 = 336[/tex]

Solve for BM

[tex]BM = 336/24[/tex]

[tex]BM = 14[/tex]

Answer:

H0 : μ = 8.5

H1 : μ > 8.5

1 sample t test ;

Test statistic = 2.53

Pvalue = 0.994

No, we fail to reject the Null ;

There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.

Step-by-step explanation:

H0 : μ = 8.5

H1 : μ > 8.5

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(8.7 - 8.5) ÷ (0.5 / sqrt40)

Test statistic = 2.53

The Pvalue :

P(Z < 2.53) = 0.9943

Pvalue = 0.994

Decison region :

Reject H0 ; if Pvalue < α

0.9943 > 0.05 ; We fail to reject the Null

Answer:

option (C) 121° is right answer

Answer:

18 days

Step-by-step explanation:

72/6=12 miles per day

12*3=36

648/36=18 days

Answer:

-20 + 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

8/19

Step-by-step explanation:

The probability that a student is chosen randomly from the class passed the test and completed the homework will be 0.1637.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

In a math class with 19 students, a test was given the same day that an assignment was due.

There were 10 students who passed the test and 11 students who completed the assignment.

There were 6 students who failed the test and also did not complete the assignment.

Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be

The number of the student who has done at least one assignment or passed the test is 19 - 6 = 13

n(A) = passes student

n(B) = given assignment

Then we have

[tex]\rm n(A \cap B) = n(A) + n(B) - n(A \cup B) \\\\n(A \cap B) = 10 + 11 - 13\\\\n(A \cap B) = 8[/tex]

Then the probability will be

[tex]\rm P = \dfrac{^8C_2}{^{19}C_2}\\\\P = \dfrac{28}{171}\\\\P = 0.1637[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

7

Step-by-step explanation:

7 is a whole number and not a probability

Answer:

1.50 waters 2.80 nachos hope this helps :)

Step-by-step explanation:

Answer:1

Step-by-step explanation:

9514 1404 393

Answer:

  4. "corresponding angles"

Step-by-step explanation:

We presume you're looking for an error in the proof.

The error is in Reason 4. The reason shown refers to "alternate interior" angles, but names "corresponding" angles.

The proof will be correct if the wording "alternate interior" is replaced by "corresponding" in Reason 4.

Answer:

115

Step-by-step explanation:

When two parallel lines are intersected by a third line, the angles on both parallel lines are congruent.

Knowing this we can determine that angle 1 is 65 degrees.

Additionally, we know that angle 1 + angle 2 = 180 degrees.

From there we can substitute the measures to determine that 65 + x = 180 and x = 115

Answer:

18.9

Step-by-step explanation:

hope this helps have a great day

Answer:

I would say A

Step-by-step explanation:

Its way off by itself

Answer:

The answer is 77/236.

Step-by-step explanation:

You need to add the total amount of guests (77 + 159) to find how many guests in total there are. Then you find the amount of people ate roast beef (77).

77 + 159 = 236

The answer is 77/236.

Also, it would be SUPER FANTABULOUS if I could get brainliest!!!

Have a nice day!!! ;D

The fractional part of the guest ate roast beef is 77/159.

A fraction is a part of a whole number, and a way to split up a number into equal parts. The number on the top is called the numerator, and the number on the bottom is called the denominator.

For the given situation,

Number of chicken dinners served by the national committee = 159

Number of roast beef dinners served by the national committee = 77

The fractional part of the guest ate roast beef is given as 77 in the numerator and 159 in the denominator,

⇒ [tex]\frac{77}{159}[/tex]

Hence we can conclude that the fractional part of the guest ate roast beef is 77/159.

Learn more about fractions here

https://brainly.com/question/1330447

#SPJ2

Answer:

2000 litres

Step-by-step explanation:

find the volume

v =2m×1m×1 m

= 2 m3

1m3 =1000litres

2m3=????

cross multiply

2m3 ×1000litres

1m3

Ans = 2000litres

Answer:

A. A quadratic function can only have one y-intercept.

Step-by-step explanation:

hope this helps. p.s. i really need brainliest :)

Answer:

A

Step-by-step explanation:

Answer:

B. A pencil

Hope it works

Answer:

Step-by-step explanation:

This is because,

They are Vertically Opposite Angles.

Answer:

Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90

Step-by-step explanation:

Let,

Notebook = x

Pen = y

According to given statements;

\begin{gathered}Multiplying\ Eqn\ 1\ by\ 4\ and Eqn\ 2\ by\ 5\\4(5x+4y=10.60)\\20x+16y=42.40 \ \ \ Eqn\ 3\\ 5(4x+3y=8.30)\\20x+15y=41.50 \ \ \ Eqn\ 4\\Subtracting\ Eqn\ 4\ from\ Eqn\ 3\\(20x+16y)-(20x+15y)=42.40-41.50\\20x+16y-20x-15y=0.90\\y=0.90\\Putting\ value\ of\ y\ in\ Eqn\ 1\\5x+4(0.90)=10.60\\5x+3.60=10.60\\5x=10.60-3.60\\5x=7\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5}=\frac{7}{5}\\x=1.40\end{gathered}Multiplying Eqn 1 by 4 andEqn 2 by 54(5x+4y=10.60)20x+16y=42.40   Eqn 35(4x+3y=8.30)20x+15y=41.50   Eqn 4Subtracting Eqn 4 from Eqn 3(20x+16y)−(20x+15y)=42.40−41.5020x+16y−20x−15y=0.90y=0.90Putting value of y in Eqn 15x+4(0.90)=10.605x+3.60=10.605x=10.60−3.605x=7Dividing both sides by 555x=57x=1.40

Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90

Answer/Step-by-step explanation:

Given:

-x + 3x + 1 + 4(x + 2) = 54

To solve, first open the bracket by applying the distributive property. Multiply every term you have in the bracket by 4

-x + 3x + 1 + 4x + 8 = 54

Add like terms together

6x + 9 = 54

Subtract 9 from each side

6x = 54 - 9

6x = 45

Divide both sides by 6

x = 45/6

x = 7.5

Answer:

Very simple. 0.03125

Step-by-step explanation: 0.5x0.5x0.5x0.5x0.5=0.03125