Find the equation of the line through M parallel to 3x+y=18

Answer:

Find the 98th term of the arithmetic sequence 8, 24, 40, .

answer is 1560

Step-by-step explanation:

Answer:

Option C

g/9

Step-by-step explanation:

g ÷ 9

[tex] = \frac{g}{9} [/tex]

Answer:

as there are 6 numbers on a die you would expect to 2 roll about 108/6 = 18 times

Answer:B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Process of elimination, -13 is negative so we eliminate A, There is no 19 in the Math problem so we eliminate B, -13 - 39 would lead to a negative number but since were increasing from temperate it has to be positive so it's not C and answer D would lead to a positive number!

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

Answer:

x=24.1

Step-by-step explanation:

soh cah toa

cos(24°)=22/x

cos(24)= 0.9135

0.9135=22/x

0.9135x=22

x=22/0.9135

x=24.1

Answer:

24.1

Step-by-step explanation:

By sine rule:

[tex] \frac{ x}{\sin 90 \degree} = \frac{22}{\sin (90 - 24)\degree} \\ \\ \frac{x}{1} = \frac{22}{ \sin 66 \degree} \\ \\ x =24.081998127 \\ \\ x \approx 24.1[/tex]

Answer:

-2x -8-10y

Step-by-step explanation:

-2 (x + 4 + 5y)

distribute

-2x -8-10y

Answer: 10 cats

Step-by-step explanation:

3/2

15/x

3*5=15

2*5=10

3/2=15/10

Answer:

20

Step-by-step explanation:

20

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Answer:

we know that, Volume of cube=a³

Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)

Step-by-step explanation:

ATQ: 2x=a³ and, x=A³

a=³√2x and, A=x

we know that, surface area of cube is 6a²

Thus, surface area of 1st cube = 6(³√2x)²

= 6³√4x²

Surface area of 2nd cube=6(x)²=6x²

Ratio of S.A=(6³√4x²)÷(6x²)

Ratio of S.A=³√4:1

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Answer:

c

Step-by-step explanation:

cc

The y-intercept is -6

It opens down.

Answer:

% increase

Step-by-step explanation:

80(1.15) = 92

Answer:

D

Step-by-step explanation:

:D

Step-by-step explanation:

21+3x=300

3x=300-21

3x=279

x=279/3

x=93

Answer:

3.81

circumference of circle is. 2π r

2π r = 24

2 * 22/7 * r = 24

r= 24 *7/2*22

r = 3.81

hope it helps

Answer: 3.8

Step-by-step explanation:

The formula for the circumference of a circle is dπ.

Because you want to find the radius you would have to divide the circumference by π.

24/π=7.639437268 this is the diameter.

To find the radius then you have to half it.

Half of 7.639437268 is 3.8 (1 decimal place).

Answer:

7 x 8x

Step-by-step explanation:

Answer:

El número 34 en numerología simboliza optimismo, espiritualidad, análisis, autoexpresión, introspección, pragmatismo. Si el número 34 es el número de tu destino, lo más probable es que seas una persona muy espiritual, sabia e intuitiva.

Step-by-step explanation:

Answer:

The answer is "1500p".

Step-by-step explanation:

The given probability is = 7. so, https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%20%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D

It implies, that only if  https://tex.z-dn.net/?f=120 people enjoy the sport, its school will gather https://tex.z-dn.net/?f=%5C%20120%20%5Ctimes%20%5C%2020%5C%20p%20%3D%20%5C%202400%20%5C%20p

But,  https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D its side will survive = 30 people, as well as the school would have to invest https://tex.z-dn.net/?f=%5C%2030%20%5Ctimes%20%5C%2030p%20%5C%20%3D%20%5C%20900p

for lollipops  So, the school will collect = https://tex.z-dn.net/?f=2400%20-%20900%20%3D%201500p

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The school can expect to raise approximately £85.71 for charity if 60 people played the game.

If each player pays 30p to play the game, and 60 people played the game, the total amount raised by the school would be:

Total amount raised = Number of players * Cost per player

Total amount raised = 60 * 30p

Now, let's calculate the cost of the crisps won by the players:

Cost of crisps won = Number of crisps won * Cost per crisp

Since each bag of crisps costs 20p, and players have to score exactly 7 to win a bag of crisps, we need to determine the number of bags of crisps won.

To find the number of bags of crisps won, we divide the total number of players by the number of players required to win a bag of crisps:

Number of bags of crisps won = Number of players / Number of players required to win a bag of crisps

Number of bags of crisps won = 60 / 7

Now, we can calculate the cost of the crisps won:

Cost of crisps won = Number of bags of crisps won * Cost per crisp

Cost of crisps won = (60 / 7) * 20p

Finally, to determine the amount the school expects to raise for charity, we subtract the cost of the crisps won from the total amount raised:

Amount raised for charity = Total amount raised - Cost of crisps won

Amount raised for charity = 60 * 30p - (60 / 7) * 20p

To simplify the calculation, we can convert the pence to pounds by dividing by 100:

Amount raised for charity = (60 * 30) - (60 / 7) * 20 = £(1800 - (1714.2857))

Amount raised for charity ≈ £85.71 (rounded to two decimal places)

Therefore, the school can expect to raise approximately £85.71 for charity if 60 people played the game.

To know more about charity click here :

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Answer:

$12

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

30/100 = X/40

X/40 = 30/100

X*40/40 = 30*40/100

X = 1200/100

X = 12

Answer:

C

Step-by-step explanation:

duh

Answer:

A burrito costs $8, while a taco costs $6.

Step-by-step explanation:

Given that the Dial and the Lewis families when to Taco Box for dinner, and the Dials bought 3 burrito meals and 4 taco meals for $ 48, while the Lewis' bought 6 burrito meals and 2 taco meals for $ 60, to determine how much does a burrito meal cost and how much does a taco meal cost make the following calculations:

3B + 4T = 48

3B = 48 - 4T

6B + 2T = 60

6B = 60 - 2T

3B = 30 - 1T

30 - 1T = 48 - 4T

30 = 48 - 4T + 1T

30 - 48 = -3T

-18 = -3T

-6 = -T

6 = T

3B + 4x6 = 48

3B + 24 = 48

3B = 24

B = 24/8

B = 8

6x8 + 2x6 = 60

48 + 12 = 60

60 = 60

Thus, a burrito costs $ 8, while a taco costs $ 6.

Step-by-step explanation:

this is your answer

hope it will help you

Answer:

80+5x

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Step-by-step explanation:

the equation for volume of sphere is 4/3 x π x r^3

so just put the numbers in

4/3 x π x 6^3

= 288 π cm^3

Answer:

The volume of a sphere is given as

4/3 πr^3

There is only one variable, the radius, which we are given in the problem.

since the radius is 6 cm, we can plug that in to the formula

4/3 π6^3

Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.

Step-by-step explanation:

Hope it is helpful....

Answer:

$1.33

Step-by-step explanation:

If 3 apple cost $4. Then the cost of one apple will be $1.33 per apple.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

If 3 apple cost $4.

Then the cost of the one apple will be given by the quotient of 4 and 3.

Then the price of one apple will be

⇒ $4/3

⇒$1.33 per apple

Thus, the cost of one apple will be $1.33 per apple.

More about the ratio and the proportion link is given below.

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