Please help explanation need it

X is the hypotenuse. Using the given angle and side dimension use the law of sins.

Sin( angle) = opposite leg/ hypotenuse

Sin(30) = 5/2 / x

X = 5/2 / sin(30)

X = 5

The answer is x = 5

Answer:

a) 0% probability that one car chosen at random will have less than 49.5 tons of coal.

b) 0% probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal.

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.

In this question:

[tex]\mu = 88, \sigma = 0.5[/tex]

a. What is the probability that one car chosen at random will have less than 49.5 tons of coal?

This is the p-value of Z when X = 49.5, so:

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

[tex]Z = \frac{49.5 - 88}{0.5}[/tex]

[tex]Z = -77[/tex]

[tex]Z = -77[/tex] has a p-value of 0.

0% probability that one car chosen at random will have less than 49.5 tons of coal.

b. What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal?

Now [tex]n = 35, s = \frac{0.5}{\sqrt{35}}[/tex]

So

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

By the Central Limit Theorem

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

[tex]Z = \frac{49.5 - 88}{\frac{0.5}{\sqrt{35}}}[/tex]

[tex]Z = -455.5[/tex]

[tex]Z = -455.5[/tex] has a p-value of 0.

0% probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal

Answer:

Step-by-step explana:

-115/5= 23

-23x7=16 1

-161-15=146

Answer:

146 pounds.

Step-by-step explanation:

7 : 5 = 12

? : 115 = ?

115 / 5 = 23

23 x 7 = 161

161  - 15 = 146

The answer is 146.

answer:

a. 400

b. 342.5

Step-by-step explanation:

The mean in this question has been given as

μ=300+10M−100B+50H

where M = 10

B = 0.5

H = 1

we put these into the formula of the mean above

μ=300+10(10)−100(0.5)+50(1)

μ = 300 + 100 - 50 + 50

= 400

So the mean of G in november is = 400

b.  We are to find E[G] here

= E[ 300+10M−100B+50H]

m = 8

B = 0.5 or 1/2

h = 1/4

E[ 300+10x8−100x0.5+50*0.25]

= 300+80-50+12.5

= 342.5

the value for E[G] is therefore 342.5

thank you

Answer:

x = sqrt(11)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the sides and c is the hypotenuse

x^2 +(sqrt(5))^2 = 4^2

x^2 +5 = 16

x^2 =16-5

x^2 = 11

Taking the square root of each side

x = sqrt(11)

Answer:

Other leg: 25 cm

Hypotenuse: 25√2 cm

Step-by-step explanation:

Hi there!

We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm

We want to find the length of the other sides

First, let's find the length of the other leg

A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees

That means the legs of the right triangle are actually the legs in the isosceles triangle as well

So the other leg is also 25 cm

Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle

You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse

In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm

So that means the length of the hypotenuse in this case is 25√2 cm

Hope this helps!

Answer:

4, 12, 36, 108.... continue multiplying by 3

Answer:

Tan(28) = x/210

Step-by-step explanation:

111.65^2 + 210^2 = hyp^2

opposite = 111.65

hypotenuse = 237.83  

Answer:

hypotenuse =237.84

opposite =111.66

Step-by-step explanation:

cos‐¹(210/x)=28

210/x =cos28

210=cos28x

divide by cos28

x=237.84 (hypotenuse)

sin28= x/237.84

x=sin28×237.84

x=111.66 (opposite)

(another way to do it)

Answer:

M = log(10,000)

Got it correct on Edmentum

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Answer: The answers are option 1 and option 3

Hope it helps

Answer:i would say A & C

Step-by-step explanation: makes the most sense

Answer:

-3.3x^4y^4

Step-by-step explanation:

-11x^2y and 0.3x^2y^3

-11x^2y * 0.3x^2y^3

Multiply the constants

-11 * .3 = -3.3

Multiply the x terms

We know that a^b*a^c = a^(b+c)

x^2 * x^2 = x^(2+2) = x^2

Multiply the y terms

y * y^3 = y^(1+3) = y^4

Put them all together

-3.3x^4y^4

List of possible integral roots = 1, -1, 2, -2, 3, -3, 6, -6

List of corresponding remainders = 0, -16, -4, 0, 0, 96, 600, 1764

Check out the table below for a more organized way to represent the answer. The x values are the possible roots while the P(x) values are the corresponding remainders.

====================================================

Explanation:

We'll use the rational root theorem. This says that the factors of the last term divide over the factors of the first coefficient to get the list of all possible rational roots.

We'll be dividing factors of 6 over factors of 1. We'll do the plus and minus version of each. Since we're dividing over +1 or -1, this means that we're basically just looking at the plus minus of the factors of 6.

Those factors are: 1, -1, 2, -2, 3, -3, 6, -6

This is the list of possible integral roots.

Basically we list 1,2,3,6 with the negative versions of each value thrown in as well.

---------------------------------

From there, you plug each value into the P(x) function

If we plugged in x = 1, then,

P(x) = x^4 - 3x^3 - 3x^2 + 11x - 6

P(1) = (1)^4 - 3(1)^3 - 3(1)^2 + 11(1) - 6

P(1) = 1 - 3 - 3 + 11 - 6

P(1) = 0

This shows that x = 1 is a root, since we get a remainder 0. Do the same for the other possible rational roots listed above. You should find (through trial and error) that x = -2 and x = 3 are the other two roots.

Answer:

The degree of vertex is the total number of vertices adjacent to the vertex .

The total number of vertices adjacent to the vertex is called degree of the vertex.

" Vertex is defined as when two adjacent side meet at one point."

According to the question,

The degree of a vertex is always as the total number of adjacent side to the vertex.

If adjacent sides far away from each other degree is more.

If adjacent sides near to each other degree is less.  

Hence, the total number of vertices adjacent to the vertex is called degree of the vertex.

Learn more about vertex here

https://brainly.com/question/12563262

#SPJ3

Answer:

A= 2  B= 6

Step-by-step explanation:

Answer:

6x+6)(6+4)

Step-by-st(ep explanation:

nbpbf wefqlbwpoi

Answer:

y+7=2/7x-2/7

Step-by-step explanation:

So we first want to find the slope. It's calculated by taking the difference in y values and dividing it by the difference in x values.

-9-(-7)/-6-1

=-9+7/-7

=-2/-7

=2/7.

This is the m in the point-slope equation.

Next, we just plug in the points. We only need 1 point so I will use the (1,-7)

y-y1=m(x-x1)

y-(-7)=2/7(x-1)

y-(-7)=2/7x-2/7

y+7=2/7x-2/7

I've never really seen fully reduced point-slope form, but I'm assuming the above is it because if I keep simplifying it's going to turn into slope-intercept form.

9514 1404 393

Answer:

  n = 2

Step-by-step explanation:

The ratio of side lengths in a 30°-60°-90° triangle is ...

  1 : √3 : 2

We have the ratio ...

  n : 2√3 : hypotenuse

from which we can see the basic ratio has been multiplied by 2. That is, n = 2 so the sides of the triangle shown have the ratio ...

  2 : 2√3 : 4

Answer:

1780 ft

Step-by-step explanation:

We need to find the perimeter of the rectangle, given by

P= 2(l+w)  where l is the length and w is the width

The units need to be the same

Change 230 yds to ft

230 yd * 3 ft/ y = 690 ft

P = 2(690+200)

P = 2(890)

P =1780

Answer:

Avery can hold 6 cups

Step-by-step explanation:

so you have a 6 litre of hot chocolate and for every cup you remove 1 litre of hot chocolate wich makes you get 6 cups of hot chocolate

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig

tan theta = opp /adj

tan 30 = n / 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

Now we have to,

find the required value of n.

Now we can,

Use the trigonometric functions.

→ tan(θ) = opp/adj

Let's find the required value of n,

→ tan (θ) = opp/adj

→ tan (30) = n/5√3

→ n = 5√3 × tan (30)

→ n = 5√3 × √3/3

→ n = 5√3 × 1/√3

→ [n = 5]

Hence, the value of n is 5.

Answer:

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Attended the dinner speech.

Event B: Attended the breakfast forum.

70% attended the dinner speech

This means that [tex]P(A) = 0.7[/tex]

40% attended both events.

This means that [tex]P(A \cap B) = 0.4[/tex]

The probability that he also attended the breakfast forum is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Answer:

[tex]n = 12h[/tex]

Step-by-step explanation:

Given

[tex]r = 12/hr[/tex] --- rate

[tex]h \to hours[/tex]

[tex]n \to amount[/tex]

Required

Determine which solution is correct or incorrect

The solutions are not given. So, I will provide a general explanation

The amount (n) is calculated as:

[tex]n = r * h[/tex]

So, we have:

[tex]n = 12 * h[/tex]

[tex]n = 12h[/tex]

The above is the general equation to solve for the amount, given h hours

When h = 2.5, we have:

[tex]n = 12*2.5[/tex]

[tex]n = 30[/tex]

Answer:

going to add a picture

Step-by-step explanation:

:)

Answer:

24/7

Step-by-step explanation:

tan A = opp/adj

For angle Z, the adjacent leg is 14, and the opposite leg is 48.

tan Z = 48/14

tan Z = 24/7

Answer:

The approximate percentage of lightbulb replacement requests numbering between 47 and 65 is of 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 47, standard deviation of 6.

What is the approximate percentage of lightbulb replacement requests numbering between 47 and 65?

65 = 47 + 3*6

So 65 is three standard deviations above the mean, and this percentage is the percentage between the mean and 3 standard deviations above the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Of those 50% above, 99.7% are within 3 standard deviations of the mean, so:

0.997*0.5 = 0.4985.

0.4985*100% = 49.85%.

The approximate percentage of lightbulb replacement requests numbering between 47 and 65 is of 49.85%.

Answer:

8√113 / 113

Step-by-step explanation:

Representing the information on a triangle :

From trigonometry :

Cos θ = Adjacent / hypotenus = AC / AB

AB = hypotenus :

Using Pythagoras :

AB² = AC² + BC²

AB² = 8² + (-7)²

AB² = 64 + 49

AB = √113

Cos θ = AC / AB = 8 / √113

RATIONALIZE :

8/√113 * √113/√113 = 8√113 / 113

Answer:

y+6=1/2(x+3)

Step-by-step explanation:

Hi there!

We want to find the equation of the line in point-slope form that passes through (-3, -6), and (3, -3)

Point-slope form is given as y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) where ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) is a point and m is the slope

We don't know the slope of the line, so let's find it

The formula for the slope (m) calculated from two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

We have two points, but let's label their values to avoid any confusion

[tex]x_{1}[/tex]=-3

[tex]y_{1}[/tex]=-6

[tex]x_{2}[/tex]=3

[tex]y_{2}[/tex]=-3

Now substitute into the formula (remember: the formula has SUBTRACTION)

m=[tex]\frac{-3--6}{3--3}[/tex]

simplify

m=[tex]\frac{-3+6}{3+3}[/tex]

m=[tex]\frac{3}{6}[/tex]

m=1/2

So the slope of the line is 1/2

Now that we have everything needed for point-slope form (a point and the slope), substitute the values into the formula (remember: the formula has SUBTRACTION)

y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex])

y--6=1/2(x--3)

simplify

y+6=1/2(x+3)

Hope this helps!

Answer:

It does.

Step-by-step explanation:

y=2x

(0)=2(0)

0=0

Answer:

Yes, the point satisfies the equation

Step-by-step explanation:

Hi there!

We want to see if the point (0,0) will satisfy the equation y=2x

In other words, we want to see if the point will pass through the equation of the line

If a point passes through the equation, the values of the point will create a true statement if they are substituted into the equation

So substitute 0 for x and 0 for y to see if it will create a true statement

0=2(0)

multiply

0=0

The end result is a true statement, so the point passes through the equation

Hope this helps!