Which number is greater: 1/4 or 5/4 ?

Answer:

P(exactly two buy yearbooks) = 0.31104

P(at least two buy yearbooks) = 0.76672

Step-by-step explanation:

We are given that at high school 40% of the students buy yearbooks.

You select 6 students at random.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 6 students

            r = number of success

            p = probability of success which in our question is probability that

                  students buy yearbooks, i.e; p = 0.40

Let X = Number of students who buy yearbooks

So, X ~ Binom(n = 6, p = 0.40)

(a) Now, Probability that exactly two buy yearbooks is given by = P(X = 2)

               P(X = 2) =  [tex]\binom{6}{2} \times 0.40^{2} \times (1-0.40)^{6-2}[/tex]

                             =  [tex]15\times 0.40^{2} \times 0.60^{4}[/tex]

                             =  0.31104

(b) Probability that at least two buy yearbooks is given by = P(X [tex]\geq[/tex] 2)

     P(X [tex]\geq[/tex] 2) =  1 - P(X = 0) - P(X = 1)

                   =  [tex]1- \binom{6}{0} \times 0.40^{0} \times (1-0.40)^{6-0}-\binom{6}{1} \times 0.40^{1} \times (1-0.40)^{6-1}[/tex]

                   =  [tex]1- (1 \times 1 \times 0.60^{6})-(6 \times 0.40^{1} \times 0.60^{5})[/tex]

                   =  1 - 0.04666 - 0.18662

                   =  0.76672

Answer:

14 units

Step-by-step explanation:

Given: LM bisects [tex]\angle JLK[/tex]

To find: LJ

Solution:

According to angle bisector theorem,

an angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

In [tex]\Delta JKL[/tex], LM bisects [tex]\angle JLK[/tex]

Using angle bisector theorem,

[tex]\frac{LK}{LJ}=\frac{KM}{JM}\\\frac{LK}{LJ}=\frac{KM}{JK-MK}\\\frac{8}{x+3}=\frac{4}{x-4}\\8(x-4)=4(x+3)\\8x-32=4x+12\\8x-4x=12+32\\4x=44\\x=\frac{44}{4}=11[/tex]

So,

[tex]LJ=x+3=11+3=14\,\,units[/tex]

Answer:

14 units

Step-by-step explanation:

Answer:

C, at least that's what I think.

Answer:

Any coordinates with a negative value for x and positive one for y will fit this description. For example, (-1, 1).

Step-by-step explanation:

Answer:

z = 3m - 2n

Step-by-step explanation:

[tex] \frac{ {1000}^{m} }{ {100}^{n} } = {10}^{z} \\ \\ \frac{ {10}^{3m} }{ {10}^{2n} } = {10}^{z} \\ \\ {10}^{3m - 2n} = {10}^{z} \\ \\ 3m - 2n = z \\ \\ \huge \red{ \boxed{z = 3m - 2n}}[/tex]

Answer:

open circle at 7; arrow points left

Step-by-step explanation:

To Solve:

4x - 10 < 18

    + 10   +10

4x < 28

/4    /4

x < 7   *only flip sign when multiply/divide by negative

< means the arrow will point left and that it will be an open circle

Answer:

Its is C. The graph has an open circle at 7 and E. The arrow points left.

Step-by-step explanation:

Can i get brainliest please?

Answer:

15.7

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d where d is the diameter

C = 3.14*5

C= 15.7

Answer:

15.7

Step-by-step explanation:

C=3.14(5 inches) <---Formula

Answer:

Step-by-step explanation:

I’m gay

Answer:

A: XY and ST

B: VU and TW

D: TX and WX

Step-by-step explanation:

Just took test.

Answer:

Its A

Step-by-step explanation:

Answer:

hola ITS A

Step-by-step explanation:

Answer:

85 quarters and 135 dimes

Step-by-step explanation:

its basically a guess and check

formula - 0.25q + 0.10d = $34.75

0.25 x 85 + 0.10 x 135 = 34.75

Answer:

100 ten dollar bills

Step-by-step explanation:

1000 / 10 = 100

Answer:

2sin4y - sin8x = K (C)

Step-by-step explanation:

Given the differential equation

dy/dx= cos(8x)/cos(4y)

This can be solved by using the variable separable method.

Step 1;

Separate the variables

Cos4ydy = cos 8xdx

step 2:

Integrate both sides of the equation

∫cos4y dy = ∫cos8x dx

sin4y/4 = sin8x/8

Step 3:

Add constant of integration to the side containing x variable

sin4y/4 = sin8x/8+ C

Taking sin8x to the other side we have:

sin4y/4-sin8x/8 = C

Multiplying through by 8:

2sin4y - sin8x = 8C

2sin4y - sin8x = K (where K = 8C )

To solve the given differential equation we have apply variable separation method.

The correct option is (c) 2 sin(4y) - sin(8x) = C.

In mathematics, variable separation method used to calculate the partially and ordinary differential function in which we rewrite the equation so that two variable occurs on two side.

Given:

The given differential equation is as follows,

[tex]\dfrac{dy}{dx}=\dfrac{\cos(8x)}{\cos(4y)}[/tex]

Separate the variable.

[tex]\cos 4y \:dy =\cos 8x\:dx\\[/tex]

Integrate both side of the equation.

[tex]\int \cos4y dy = \int \cos8x dx\dfrac {1}{4}\sin4y = \dfrac {1}{8}\sin8x\\\dfrac {1}{4}\sin4y-\dfrac {1}{8}\sin8x=C\\2\sin4y - \sin8x = 8C[/tex]

Thus, the correct option is (c) 2 sin(4y) - sin(8x) = C.

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Answer:

1/16

Step-by-step explanation:

so basically you would do the opposite of the negative so then it would be 4^2 and then that is 4*4 so then u are gonna do 1 over 4*4 which is 1/16

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 4⁻² without an exponent is written as 1/16.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression without an exponent can be written as,

4⁻²

= 1/(4²)

= 1/16

Hence, The given expression without an exponent can be written as 16.

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Correct question

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

A.) state the linear regression function that estimates the number of new homes available at a specific price.

B.) state the correlation Coefficient of the data, and explain what it means in the context of the problem

Answer:

Y = -0.79X + 249.86

R = -0.9543

Step-by-step explanation:

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

Calculate the Linear regression equation :

Using the linear regression calculator :

The linear regression equation is :

Y = -0.79X + 249.86

The correlation Coefficient 'R' measures the strength of statistical relationship between the relative movement of two variables. The The value of R is -0.9543 in the question above.

This is a strong negative correlation, which means that high sales price of homes scores correlates with low number of new homes  scores (and vice versa). Homes with high sales price have fewer number of new homes.

The correct answer to the given table based on the linear regression is:

This refers to the number between -1 and +1 where the interdependence of two variables are shown.

Hence, based on the given table:

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home    : 126 | 103 | 82 | 75 | 82 | 40 | 20

To find the Linear regression equation :

Y = -0.79X + 249.86

R= -0.9543

Hence, we can see that the correlation coefficient "R" is used to show the statistical relationship between the two variables.

As a result of the strong negative correlation, then there would be higher prices for homes and lower number of new homes.

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To calculate the total amount spent on a mortgage, multiply the monthly payment by the total number of months. For a $150,000 loan at an interest rate of 2.75% and a 15-year term, the total amount spent is approximately $181,884.60.

To calculate the total amount spent on a mortgage, we need to find the monthly payment and multiply it by the total number of months. Using the formula for the monthly payment of a mortgage, we can calculate that the monthly payment for a $150,000 loan with an interest rate of 2.75% and a term of 15 years is approximately $1,010.47. Multiplying this monthly payment by the total number of months (15 years * 12 months per year) gives us the total amount spent, which is approximately $181,884.60.

7 gallons of pure acid and 14 gallons of 10% acid

7 liters of pure acid and  14 liters of 10% solution should be added.

percentage, a relative value indicating hundredth parts of any quantity.

let a = amount of pure acid to be used

then (21-a) = amount of 10% solution required

A typical mixture equation

a + 0.10(21-a) = .40(21)

a+2.1-0.1a=8.4

0.9a+2.1=8.4

Subtract 2.1 on both sides

0.9a=6.3

Divide both sides by 0.9

a=7

7 liters of pure acid

21- 7 = 14 liters of 10% solution

Hence, 7 liters of pure acid and  14 liters of 10% solution should be added.

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Answer:

Step-by-step explanation:

hello  :

2/3 =(2×8)/(3 ×8) = 16/24

5/10 = 1/2= (1×12)/(2 ×12)=12/24

7/8= (7×3)/(8 ×3)= 21/24

the greater is : 7/8

Answer:

[tex]\sqrt{97}[/tex]

Step-by-step explanation:

Using the pythagorean theorem, you can find that the distance between the two points is [tex]\sqrt{(5-1)^2+(5-(-4))^2}=\sqrt{4^2+9^2}=\sqrt{97}[/tex]. Hope this helps!

Answer:

it 95 good luck

Step-by-step explanation:

Answer:

37.045

Step-by-step explanation:

Answer:37.045

Step-by-step explanation:

there is a little line over 45

Answer:

The correct option is c,$36.60

Step-by-step explanation:

The key to solving this question lies around measurement conversion,specifically converting grams into its equivalence in kilograms.

1000 grams equal one kilogram

9 grams=9/1000 kg

9 grams=0.009 kg

70 grams=70/1000 kg

70 grams=0.07 kg

Julie pays=$600*0.009=$5.4

Jacques pays=$600*0.07=$42

Jacques pays   $36.60 more ($42-$5.4) than Julie paid

Option is wrong because that was what Julie paid

Option D is wrong because that was what Jacques paid

Option B is obviously wrong

Answer:

a 15/20

Step-by-step explanation:

A=25in

B15in

C20in

Answer:

15/20

Step-by-step explanation:

lol

brainiest rate 5 stars , thank me : )

Answer:  height of the door is x+4

Step-by-step explanation:

Answer: 2x-6

Step-by-step explanation: 1 Remove parentheses.

x-5+x-1x−5+x−1

2 Collect like terms.

(x+x)+(-5-1)(x+x)+(−5−1)

3 Simplify.

2x-62x−6

Answer:

you really just have to tell them to and if they are nice they will

Step-by-step explanation:

Answer: A competent person with correct answers

Answer:

5 Hours

Step-by-step explanation:

Assuming their time is cut in half (roughly), you could do 1 + 2 + 2 = 5

It would take 1.1 hours for all working together, option B is correct.

Two or more expressions with an Equal sign is called as Equation.

We use the formula 1 / (time taken by all three to complete the job) = (1 / time taken by Laine) + (1 / time taken by Leslie) + (1 / time taken by Lance)

Plugging in the values given in the question, we get:

1 / (time taken by all three) = (1 / 2) + (1 / 4) + (1 / 5)

To simplify this equation, we first find a common denominator, which is 20.

Then we can rewrite the fractions:

1 / (time taken by all three) = (10 / 20) + (5 / 20) + (4 / 20)

1 / (time taken by all three) = 19 / 20

Multiplying both sides by 20, we get:

time taken by all three = 20 / 19

Hence, it would take 1.1 hours for all working together,

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Answer:

492,800

Step-by-step explanation:

Given ith term of an arithmetic sequence as shown:

ai = a(i-1)+2

and a1 = 5

When i = 2

a2 = a(2-1)+2

a2 = a1+2

a2 = 5+2

a2 = 7

When i = 3

a3 = a(3-1)+2

a3 = a2+2

a3 = 7+2

a3 = 9

It can be seen that a1, a2 and a3 forms an arithmetic progression

5,7,9...

Given first term a1 = 5

Common difference d = 7-5= 9-7 = 2

To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.

Sn = n/2{2a1+(n-1)d}

Given n = 700

S700 = 700/2{2(5)+(700-1)2}

S700 = 350{10+699(2)}

S700 = 350{10+1398}

S700 = 350×1408

S700 = 492,800

Therefore, the sum of the first 700 terms in the sequence is 492,800

Final answer:

To calculate the sum of the first 700 terms of the arithmetic sequence, we apply the arithmetic series sum formula using the number of terms (700), the first term (5), and the common difference (2), resulting in a sum of 492800.

Explanation:

To find the sum of the first 700 terms of an arithmetic series, we use the formula for the sum of an arithmetic series: S = (n/2)(a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. Given that a1 is 5, and the common difference d is 2, we can calculate the nth term (an) using the formula for the nth term of an arithmetic sequence: an = a1 + (d)(n - 1).

We know n = 700, d = 2, and a1 is 5. Thus, an = 5 + 2(700 - 1) = 5 + 2(699) = 5 + 1398 = 1403. The sum can then be calculated as S = (700/2)(5 + 1403) = 350(1408) = 492800.

Therefore, the sum of the first 700 terms of the arithmetic sequence is 492800.

Answer:

(-2,0) and (3,0)

Step-by-step explanation:

The parabola passes through both points on the graph.

Answer:

B. (-2,0) (3,0)

Step-by-step explanation:

thats where the line passes through the X axis