Mr Watkins needs to buy some oil for his central heating, Mr
Watkins can put up to 1200 litres of oil in his oil tank. There is
already 650 litres of oil in the tank. Mr Watkins is going to fill the
tank with oil. The price of oil is 70p per litre. Mr Watkins gets 5%
off the price of the oil. How much does Mr Watkins pay for the oil
he needs to buy?​

Answer:

translation

Step-by-step explanation:

I'm pretty sure

Answer:

m= 0

Step-by-step explanation:

6=m+6

6−6=m+6−6

m=0

brainliest would be appreciated. have a great day :)

Answer:

9/8 teaspoon

Step-by-step explanation:

The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.

0.66*1.5 = 1

So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.

0.75*1.5 = 1.125

Convert into fractional form:

1.125 = 9/8

Your answer is 9/8 teaspoon of cinnamon per one can of muffins.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

Answer:

Step-by-step explanation:

Circumference is 2pir

So 14pi meters

Answer:

2500

Step-by-step explanation:

50020%50020%

Convert 20%20% to a decimal.

5000.25000.2

Divide 500500 by 0.20.2.

2500

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

Answer:

513

Step-by-step explanation:

549- 36 = 513

Answer:

Step-by-step explanation:

C

Answer: A

Step-by-step explanation:

There u go

Answer:

x = 32 is incorrect

Step-by-step explanation:

[tex]32 = \frac{1}{2} (x + 16) \\ \\ 32 \times 2 = x + 16 \\ \\ 64 = x + 16 \\ \\ x = 64 - 16 \\ \\ x = 48 \\ \\ y =360-(48+114 + 16) \\ \\ y =360-178 \\ \\y = 182 \\ \\ 4 \times n = 6 \times 3 \\ \\ n = \frac{18}{4} \\ \\ n = 4.5[/tex]

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

0.5

Step-by-step explanation:

1/6 times 3 equals 0.5 or 3/6 or 1/2

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Answer:

greater than lol

Step-by-step explanation:

Answer:

5/7 is grater than 2/8

Step-by-step explanation:

5/7 = 0.714

2/8 = 0.25

therefore 5/7 is grater than 2/8

Answer:

Area = 40 cm²

Step-by-step explanation:

Area of triangle is derived by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Length of Base = 8 cm

Height of the triangle = 10 cm

Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]

                                                             = 40 cm²

Answer:

Step-by-step explanation:

i can't see the number srry:(

Answer:

Option A.

Step-by-step explanation:

The representative will conduct a hypothesis test to test whether the mean number of magazines of type A the operators sell, μAμA, is greater than the mean number of magazines of type B the operators sell, μBμB. What are the correct null and alternative hypotheses for the test?

To verify this, the distribution used is [tex]\mu_{A} - \mu_{B}[/tex]

The null hypothesis is an equality, which means that it is:

[tex]H_{0} = \mu_{A} - \mu_{B} = 0[/tex]

At the alternate hypothesis, we want to test if the mean number of type A is greater than type B, that is, the distribution is positive. So

[tex]H_{A} = \mu_{A} - \mu_{B} > 0[/tex]

So the correct answer is given by option A.

Answer:

y= -x - 8

Step-by-step explanation:

To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.

126

Step-by-step explanation:

the ratio is 2months- 42 homes

6-126 = (2-42)x3

Answer:

the answer is a or b

Step-by-step explanation:

Answer:

1- 3/5 or .6

2- 1

Step-by-step explanation:

Answer:

2x-3x=24____eqn 1

3x+4y=2____eqn 2

solve eqn 1 and 2 simultaneously using elimination method

eliminate x use the coefficients of x in the two equations to multiply each other i.e

3(2x-3y=24)

2(3x+4y=2)

6x-9y=72

6x+8y=4

eliminate x using the subtraction sign(-)

6x-6x-9y-(+8y)=72-4

-9y-8y=68

-17y=68

divide both side by the coefficient of y

y=68/-17

y=-4

put y=-4 in eqn 2

3x+4y=2

3x+4(-4)=2

3x-16=2

collect like term

3x=2+16

3x=18

divide both side by the coefficient of x

x=18/3

x=6

since we're asked to find x-y

6-(-4)

6+4=10

Answer:

Step-by-step explanation:

Pythagorean theorem: b² + 6² = 14²

b² = 14² - 36² = 160

b = 4√10

sin(A) = 6/14 = 3/7

∠A = arcsin(3/7) ≈ 25.4°

∠B ≈ 90° - 25.4° = 64.6°

Answer:

n-5

Step-by-step explanation:

Answer:

B. 1.5 cups

Step-by-step explanation:

6/8 = 0.75

each person gets 0.75 each

Since 2 people chose not to drink the juice. the left overs would be 0.75*2

0.75*2=1.5

Answer: y=-2

Step-by-step explanation:

8y=-16

divide by 8 on each side

y=-2

Answer:y=2x−3+5

Step-by-step explanation: