Select the instances in which the variable described is binomial.1) A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.5) The probability of drawing a king in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of king cards observed.

Answers

Answer 1

Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes

Step-by-step explanation:

The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:

• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well

Therefore, the correct options are 2,3 and 4.


Related Questions

What is the Compound interest on Rs.1000 at the rate of 20% p.a. semiannually for 1 year and 10 months?
A. Rs. 420.31
B. Rs. 400.29
C. Rs. 419.73
D. Rs. 409.13​

Answers

Answer:

420.31

Step-by-step explanation:

A

.Rs.420.31

20ejjdj

Answer:

I think A rs 420.31 is right answet

What is the area of a circle with a diameter of 20 inches if
[tex]\pi[/tex]
=3.1415​

Answers

$\sf\underline\bold\blue{Information\:given\:in\:the\:question:}$

π =[tex]\sf{ 3.1415}[/tex]$\sf{Diameter = 20inches}$

$\space$

$\sf\underline\bold\blue{What\:we\:have\:to\:find?}$

$\sf{Area\:of\:the\:circle.}$

$\space$

$\sf\underline\bold\blue{Answer:}$

$\sf\small{Area\:of\:the\:circle\:is : 314.15}$

$\space$

$\sf\underline\bold\blue{Calculations:}$

Here we have the value of the circle's diameter that is 20inches. So, first we have to calculate the radius of the circle using the formula :

$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{Diameter}{2}$

$\space$

$\sf\underline\bold\blue{Calculating\:the\:required\:values:}$

$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{20}{2}$

$\sf{Convert \: to \: the\:lowest\:term(Divide),}$

$\mapsto$ $\sf\underline\bold{Radius=10}$

☆Now we know the value of the radius . So now let's calculate the area of the circle.

$\space$

$\sf\bold{Area\:of\:circle:}$ π$\sf{ r \: ^{2} }$

$\sf\bold{Evaluating \: the\:required\:values:}$

$\sf\bold{Area\:of\:circle=3.1415(10)^2}$

$\space$

$\sf\bold{Area\:of\:the\:circle=3.1415\times10\times10}$

$\sf\bold{Now,}$

$\sf\bold{Area\:of\:the\:circle:3.1415\times100}$

$\space$

$\sf\underline\bold\green{Thus,Area\:of\:the\:circle\: is \: 314.15}$

____________________________

3(x-5)=5x-(3-x) solve for x

Answers

Answer:

x = -4

Step-by-step explanation:

[tex]3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x[/tex]

Step-by-step explanation:

[tex]3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4[/tex]

I hope it helped U

stay safe stay happy

The average of four different positive integers is 9. What is the greatest value for one of the integers?

Answers

From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

[tex]\mathbf{\dfrac{(a+b+c+d)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(a+1+2+3)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(6+a)}{4} =9}[/tex]

By cross multiplying;

6+a = 9 × 4

6+a = 36

a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

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The greatest value for one of the four positive integers is 30.

To find the largest positive integer, you have to minimize the other three positive integers.

The least three different positive integers available = 1, 2, 3let the largest positive integer = ythe sum of the four different positive integers = 1 + 2 + 3 + y = 6 + y

Find the average of the four positive integers and equate it to the given value of the average.

[tex]\frac{6 + y}{4} = 9\\\\6+ y = 36\\\\y = 36-6\\\\y = 30[/tex]

Thus, the greatest value for one of the positive integers is 30

learn more here: https://brainly.com/question/20118982

2 square5 + 5 square5

Answers

Answer:

=2^5+5^5

=32+3125

=3157

PLEASE HELP!!

Prove the trigonometric identity.


tanx+cotxcscxcosx=sec2x


Drag an expression to each box to correctly complete the proof.

Answers

You're going to have to break all of these identities into sin and cos, and then just resolve them like normal.

The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

formulas for trigonometric ratios is:

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

According to the question

[tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex]

[tex]\frac{\frac{sin x}{cos x} + \frac{cos x}{sin x}}{\frac{1}{sin x}*cosx } = sec^{2} x[/tex]

[tex]\frac{\frac{sin^{2}x + cos^{2}x }{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]

[tex]\frac{\frac{1}{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]

[tex]\frac{\frac{1}{cosx} }{\frac{cosx}{1} } = sec^{2} x[/tex]

[tex]\frac{1}{cos^{2} x} =sec^{2} x[/tex]

[tex]sec^{2} x =sec^{2} x[/tex]

L.H.S = R.H.S

Hence, The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved  .

To know more about trigonometric ratio here:

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Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 3, negative 1, 1, 3, 6.

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 2, negative 4, negative 1, 1, 4, 3.

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 5, 7, 1, 0, negative 4, negative 2.

Answers

Answer:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Help me! thank you so much

Answers

Answer:

Step-by-step explanation:

[tex]\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x[/tex]

pleeaseeee help me !!!

Answers

Answer 3. -7.5 is located to the left of 6.5 on a number line oriented from left to right.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
You can visualize data sets using ______________.
A. dot charts
B. dotgrams
C. dot graphs
D. dot plots

Answers

Answer:

Adrenaline: A stress hormone produced within the adrenal gland that quickens the heart beat, strengthens the force of the heart's contraction, and opens up the bronchioles in the lungs, among other effects. The secretion of adrenaline is part of the human 'fight or flight' response to fear, panic, or perceived threat.

Step-by-step explanation:

help lol i forgot everything of the summer time

fill in the table using this function rule

Answers

Answer:

hope it help you

Step-by-step explanation:

mark me brailiest answer

What I do is plug x into the equation to find y

1. Y=-4(-1)+3
Y=4+3
Y=7
2. Y=-4(0)+3
Y=0+3
Y=3
3. Y=-4(1)+3
Y=-4+3
Y=-1
4. Y=-4(2)+3
Y=-8+3
Y=-5

Hope this helps!! :)

A Triangular Park ABC has sides 120 m, 80m and 50m. a gardener has to put a fence all around it and also plant grass inside. How much area does she need to plant? Find the cost of fencing it with barbed wire at the rate of of Rs. 20 per metre leaving a space 3m wide for a gate on one side?​

Answers

The perimeter = sum of all sides

= 120 + 80 + 50

= 250

So 250 - 3

247

Left space for gate

Now cost of fencing = Rs 20/per meter

= 247 × 20

= Rs 4,940

Now the area of the triangular park can be found using heron's formula

S = (a+b+c)/2

S = (120+80+50)/2

S = 250/2

S = 125

Now

Herons formula = √s(s-a)(s-b)(s-c)

√125(125-120)(125-80)(120-50)

√125(5)(45)(70)

√5×5×5×5×5×3×3×5×14

After Making pairs

5×5×5×3√14

375√14

Therefore 375√14m is the area of the triangular park

Must click thanks and mark brainliest

$\sf\underline\bold{Answer:}$

$\sf\small\underline{\underline{Area\: planted\: by\: the\: gardener : 1452.36m^2}}$

$\sf\small\underline{\underline{The\:cost\:of\:fencing\:the\:park:Rs.4940}}$

$\space$

$\sf\underline\bold{Step-by-Step:}$

$\space$

$\sf\bold{Given(In \:the\:Q):}$

Sides of the triangular park are 120m,80m and 50m.

$\space$

$\sf\bold{To \: find:}$

How much area of the park does she need to plant?The cost of fencing the park ?

$\space$

$\sf\small{☆Area\:to\:be\:planted=Area \: of \: ∆ABC}$

$\space$

$\sf\underline\bold{Calculating\:area\:of\:∆ABC:}$

$\space$

Use heron's formula to find the area of the triangle.

$\space$

$\mapsto$ $\sf\small{Heron's\:formula=}$

[tex]\sf\sqrt{s(s-a)(s-b)(s-c)}[/tex]

$\sf{Where\:s=semi\:perimeter}$$\sf{a,b,c\: = side\:of\:the\:∆}$$\sf\small{Here\:a=120,b=80 \:and\: c=50}$

$\space$

$\sf\bold{Now,find\:semi\:parameter:-}$

$\sf\small{Perimeter\:of\:the\:∆=120+80+50=250}$

$\sf\small{Semi-Perimeter:}$ $\sf\dfrac{250}{2}$ $\sf\small{=125m}$

$\space$

$\sf\small{Substitute \: the\:values\:in\:heron's\:formula:}$

$\sf{Area\:of\:the\:∆:-}$

$\mapsto$ [tex]\sf\sqrt{125(125-120)(125-80)(125-50)}[/tex]

$\space$

$\mapsto$ $\sf\sqrt{125\times(5)\times(45)\times(75)}$

$\space$

$\mapsto$ $\sf\small\sqrt{2109375}$ $\sf\small{=375}$ $\sf\small\sqrt{15}$

$\space$

$\longmapsto$ $\sf\underline\bold\purple{1452.56m^2}$

______________________________

$\sf\underline\bold{Now,find\:the\:cost\:of\:fencing:}$

$\sf{Cost\:of\:fencing-}$

$\sf{Rate = Rs.20 per \:meter}$ $\sf{Left\:space=3m}$

$\space$

$\sf\underline{Hence,the\:gardener\:has\:to\:fence:}$

$\sf{= 250-3=247m.}$

$\space$

So,total cost of fencing at the rate of Rs.20 per m:-

$\sf\underline\bold\purple{=247\times20=4940}$

___________________________________

The value of x in the expression 2x/3 - 7 = 5
is
A---8
B---24
C---18
D---36

Answers

Answer:

C. 18

Step-by-step explanation:

2x/3 - 7 = 52x/3 = 5 + 72x/3 = 122x = 3*122x = 36x = 36/2x = 18

Correct choice is C

[tex]\\ \sf\longmapsto \dfrac{2x}{3}-7=5[/tex]

[tex]\\ \sf\longmapsto \dfrac{2x-21}{3}=5[/tex]

[tex]\\ \sf\longmapsto 2x-21=5(3)[/tex]

[tex]\\ \sf\longmapsto 2x-21=15[/tex]

[tex]\\ \sf\longmapsto 2x=15+21[/tex]

[tex]\\ \sf\longmapsto 2x=36[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{36}{2}[/tex]

[tex]\\ \sf\longmapsto x=18[/tex]

2
50
70
85
96
Christina earned 70 on the test. Describe how the scores of Christina's
classmates compared to Christina's score.
A. about 1/4 scored higher, about 3/4 scored lower
B. about 314 scored higher, about 1/2 scored lower
C. about 3/4 scored higher, about 1/4 scored lower
D. about 1/2 scored higher, about 1/2 scored lower
Reset Selection

Answers

The answer is going is b: about 314 scored higher about 1/2 scored lower

Given the five number summary, christina has scored 70 marks which is equal to the median of the test scores, therefore about [tex]\frac{1}{2}[/tex] class scored higher than her and  [tex]\frac{1}{2}[/tex] class scored lower than her, making option (d) correct.

The five number summary is the descriptive summary of a data where in you are provided the lowest observation, first quartile, median, third quartile and the maximum observation.

Here, the first quartile is the observation which lies at a point in the ordered data that 25% observations are lesser than it and 75% are greater than it.

the median is the observation which lies at a point in the ordered data that 50% observations are lesser than it and 50% are greater than it.

the third quartile is the observation which lies at a point in the ordered data that 75% observations are lesser than it and 25% are greater than it.

As given in the data,

Christina's marks = 70

median marks = 70

christina's marks = median marks

therefore, by definition of median, about half class scored lower than christina and half more than her.  

Learn more about median here

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The complete question is given below:

Given the five number summary  as:

minimum = 2

first quartile = 50

median = 70

third quartile = 85

maximum = 96

Christina earned 70 on the test. Describe how the scores of Christina's

classmates compared to Christina's score.

A. about 1/4 scored higher, about 3/4 scored lower

B. about 314 scored higher, about 1/2 scored lower

C. about 3/4 scored higher, about 1/4 scored lower

D. about 1/2 scored higher, about 1/2 scored lower

Find the equation of the line that is parallel
to the line y = -5x - 9 and passes
through the point (-4,-9) Write the
equation in slope-intercept form.

Answers

A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

What is the y-intercept of the line whose equation is y=−3x ?

Answers

Answer:

y=mx+b

b is the y intercept

b=0, so 0 is the y intercept

Step-by-step explanation:

A bag contains 5 pieces of string. The lengths of the pieces of string are 1 inch, 3 inches, 5 inches, 7 inches, and 9 inches. Suppose you pick three pieces of string from the bag at random and all pieces are equally likely to be chosen. What is the probability you can form a triangle with the three pieces

Answers

Answer:

30%

Step-by-step explanation:

There are 10 possible combinations of sticks that can be drawn from a group of 5 strings

 

5C3 = (5*4*3)/(3*2)   = 10 combinations, which are

1,3,5 ; 1,3,7 ; 1,3,9 ; 1,5,7 ; 1,5,9 ; 1,7,9 ; 3,5,7 ; 3,5,9 ; 3,7,9 ; 5,7,9

 

to make a triangle, the sum of any two sides must be greater than the third side and if you look at the possible combinations there are only three cases where that is true

 

so the probability for drawing three sticks that would make a triangle is 3/10 or 30%

i neeeeeeed help :)))))

Answers

Volume of cone = 1/3 x area of base x height
So area of base = 3 x volume / height = 3 x 15pi / 5 = 9pi m^2

The radius of the base will be 3 m but this was not asked for.

Find the difference quotient for f(x) = x2 + 4.

Answers

I am trying to simplify a difference quotient with the form

f(x+h)−f(h)/h

if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative

Here is my work so far:

f(x+h)−f(x)(h)

=f(2/(x+h)2)−f(2/x2)h

=(2/(x+h)2)−(2/x2)h

here I multiply by the LCD

=(2(x2)−2(x+h)2)/(x2(x+h)2)h

Here I expand out the top and cancel out 2x2

=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h

=−(4xh+2h2)/(x2(x+h)2))h

Here I think I should multiply by 1/h to get rid of the h on the bottom

I end up with:

=4xh+2h2hx2(x+h)2

factor out an h

=−4x+2hx2(x+h)2

Helpppp pleaseeee !!!!!!

Answers

Answer:

149 inches squared

Step-by-step explanation:

top rectangle: 25 * 7 = 175

second rectangle: 8 * (25 - 17) = 8^2 = 64

triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10

175 + 64 + 10 = 149 sq in

hopefully got this right!

A line of best fit predicts that when x equals 28, y will equal 27.255, but y actually equals 26. What is the residual in this case?
A. 0.745
B. -0.745
C. -1.255
D. 1.255​

Answers

Answer:

C) -1.255

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value =  26 - 27.255

Residual values = -1.255

The answer is -1.255 for residual value.

Can anyone help me with this please

Answers

Hi there!

[tex]\large\boxed{\frac{1}{4}, -\frac{3}{2}}[/tex]

13y² + 10y - 3 = 5y²

Begin by moving all terms to one side:

13y² + 10y - 3 - 5y² = 0

Combine like terms:

8y² + 10y - 3 = 0

Factor using the guess-and-check method.

(4y - 1)(2y + 3) = 0

Set each factor equal to 0 to find the solutions:

4y - 1 = 0

4y = 1

y = 1/4

2y + 3 = 0

2y = -3

y = -3/2

May somebody help with this and show how you solved these 4 problems??

Answers

Answer:

x=27

y=25

c=12

n=70

Step-by-step explanation:

a- x-10=17

isolate the x by adding 10 to both sides

x=27

b- y+7=32

isolate the y by subtracting 7 from both sides

y=25

c- 4c=48

isolate c by dividing both sides by 4

c=12

d- n/5=14

isolate the n by multiplying both sides by 5

n=70

Answer:

a) [tex]x-10=17[/tex]

Add 10 to both sides:-

[tex]x-10+10=17+10[/tex][tex]x=27[/tex]

----------

b) [tex]y+7=32[/tex]

Subtract 7 from both sides

[tex]y+7-7=32-7[/tex][tex]y=25[/tex]

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

c) [tex]4c=48[/tex]

Divide both sides by 4

[tex]\frac{4c}{4}=\frac{48}{4}[/tex][tex]c=12[/tex]

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

d) [tex]\frac{n}{5}=14[/tex]

Multiply both sides by 5

[tex]\frac{5n}{5}=14\cdot \:5[/tex][tex]n=70[/tex]

OAmalOHopeO

4. a) x2 + xy2 + y 4

Answers

Answer:

x2 + xy2 + y 4=(x+y^2)^2-xy^2

Step-by-step explanation:

if (-2/15)+(-13/5)=(-13/5)+a/b then a/b is equal to​

Answers

The choose C. –2/15

(-2/15) +(-13/5) =(-13/5) +a/b

a/b = (-2/15)+(-13/5) - (-13/5)

a/b = (-2/15) - ( 39/15) +(39/15)

a/b = –2/15

I hope I helped you ^_^

Answer: option 3: a/b = (-2/15)

Step-by-step explanation:

See here when we solve this

(-2/15)+(-13/5) = (-13/5)+a/b

(-2/15) = (-13/5)+a/b-(-3/15)

(-2/15) = a/b

please click thanks and mark brainliest if you like :)

Solve the inequality 2x – 22 < -8.

Answers

2x - 22 < -8

Add 22 to both sides

2x < 14

Divide both sides by 2

X < 7

Answer:

[tex]2x-22<-8[/tex]

Add 22 to both sides

[tex]2x-22+22<-8+22[/tex]

[tex]2x<14[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{14}{2}[/tex]

[tex]x<7[/tex]

OAmalOHopeO

pleaseee help i’m stressing!! i’ll give you those little crown things

Answers

Answer:

4.4 mm

Step-by-step explanation:

Avanced Algebra PLS ANSWER THIS CORRECTLY

Use the function f(x) to answer the questions:


f(x) = 2x^2 − 3x − 5


Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)


Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)


Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Answer:

Below

Step-by-step explanation:

Part A: -1 and 2.5

Part B: The vertex is a minimum

Part C: tbh, I'm not quite sure about this part but just use parts A and B to answer :)

(you can also use the website desmos. com/calculator as a graphing calculator)

find the missing side. Round it the nearest tenth.​

Answers

Answer: x= 11√3= 19.0525 = 19.1

Step-by-step explanation:

Let the reference angle be 30

so

cos 30 = b/h

√3/2 = x/22

or, 22√3 = 2x

or. x = (22√3)/2

so, x = 11√3

Answer:

x = 19.1 cm

Step-by-step explanation:

→ Find the name of the side you are not given

Opposite

→ Find a formula without opposite in it

Cos = Adjacent ÷ Hypotenuse

→ Rearrange to make adjacent the subject

Adjacent = Cos × Hypotenuse

→ Substitute in the values

Adjacent = Cos ( 30 ) × 22

→ Simplify

Adjacent = 19.1

Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
t+1/2b=Y

Answers

Answer:

b = 2(Y - t)

Step-by-step explanation:

Given:

t + 1/2b = Y

Isolate b:

1/2b = Y - t

Find b:

b = 2(Y - t)

[tex]\\ \sf\longmapsto t+\dfrac{1}{2}b=Y[/tex]

take t right side

[tex]\\ \sf\longmapsto \dfrac{1}{2}b=Y-t[/tex]

[tex]\\ \sf\longmapsto \dfrac{b}{2}=Y-t[/tex]

[tex]\\ \sf\longmapsto b=2(Y-t)[/tex]

[tex]\\ \sf\longmapsto b=2Y-2t[/tex]

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