If it costs £55 to buy 11 cushions, how much will it cost to buy 19?

Answer: 1/3

Step-by-step explanation:

Half of the 14 brown eggs are cracked so there are 7 cracked eggs. There are 7+14=21 eggs in total so the probability of getting a cracked egg that is brown is 7/21=1/3

Answer:

0.2

Step-by-step explanation:

2/10 or 1/5

Answer:

0.2

Step-by-step explanation:

Answer:

1742 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single light:

Mean of 1700 hours and standard deviation of 400 hours, which means that [tex]\mu = 1700, \sigma = 400[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{400}{\sqrt{64}} = 50[/tex]

The probability is 0.20 that the sample mean lifetime is more than how many hours?

This is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84

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

By the Central Limit Theorem

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

[tex]0.84 = \frac{X - 1700}{50}[/tex]

[tex]X - 1700 = 50*0.84[/tex]

[tex]X = 1700 + 50*0.84[/tex]

[tex]X = 1742[/tex]

Answer:

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

Step-by-step explanation:

r = rate of boat (speed of boat)

t = time

d = distance.

c = rate of current (speed of current)

with the current, the formula becomes (r + c) * t = d

against the current, the formula becomes (r - c) * t = d

going with the current, the boat takes 1 hour to travel 12 miles.

therefore:

(r + c) * t = d becomes (r + c) * 1 = 12

going against the current, the boat takes 1.5 hour to travel the same 12 miles.

therefore:

(r - c) * t = d becomes (r - c) * 1.5 = 12.

your two equations that need to be solved simultancously are:

(r + c) * 1 = 12

(r - c) * 1.5 = 12

divide both sides of the second equation by 1.5 and leave the first equaion as is to get:

r + c = 12

r - c = 8

add the equations together to get:

2 * r = 20

solve for r to get:

r = 20 / 2 = 10

(r + c) * 1 = 12 becomes (10 + c) * 1 = 12

simplify to get 10 + c = 12

solve for c to get c = 12 - 10 = 2

(r - c) * 1 = 8 becomes (10 - c) * 1 = 8

simplify to get 10 - c = 8

solve for c to get c = 10 - 8 = 2

you have:

r = 10

c = 2

that's your solution.

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

Answer:

Hope it help

Mark me as brainliest

Step-by-step explanation:

Answer:

16 cookies. Try your best.

Answer: 16

Step-by-step explanation:

We can solve this by using the equation: 4/5 x 20 = y

(y is the answer)

Now we can solve it. You can just solve 4/5 x 20, or if you like using decimals you can change it to 0.8 x 20, becaues 4/5 is equivalent to 0.8.

0.8 x 20 = 16.

Therefore, out of the 20 cookies, 16 are chocolate chip.

Answer: 2

bc 50+20=70

140 divided by 70 is 2

Step-by-step explanation:

Andrew has 17 dollars left for gift c

Recall the definition of absolute value:

• If x ≥ 0, then |x| = x

• If x < 0, then |x| = -x

(a) Splitting up f(x) = x |x| into similar cases, you have

• f(x) = x ² if x ≥ 0

• f(x) = -x ² if x < 0

Differentiating f, you get

• f '(x) = 2x if x > 0 (note the strict inequality now)

• f '(x) = -2x if x < 0

To get the derivative at x = 0, notice that f '(x) approaches 0 from either side, so f '(x) = 0 if x = 0.

The derivative exists on its entire domain, so f(x) is differentiable everywhere, i.e. over the interval (-∞, ∞).

(b) Similarly splitting up g(x) = x + |x| gives

• g(x) = 2x if x ≥ 0

• g(x) = 0 if x < 0

Differentiating gives

• g'(x) = 2 if x > 0

• g'(x) = 0 if x < 0

but this time the limits of g'(x) as x approaches 0 from either side do not match (the limit from the left is 0 while the limit from the right is 2), so g(x) is differentiable everywhere except x = 0, i.e. over the interval (-∞, 0) ∪ (0, ∞).

Answer:

4(x - 9)^2 - 17

Step-by-step explanation:

A horizontal shift to the right by 9 changes x^2 to (x - 9)^2.

A vertical shift down by 1 changes - 16 to -17.

Therefore, the new equation is:

4(x - 9)^2 - 17

Answer:

[tex]105m^3/min[/tex]

Step-by-step explanation:

We are given that

Base side of square pyramid, a=3 m

Height of square pyramid, h=9m

[tex]\frac{da}{dt}=6m/min[/tex]

[tex]\frac{dh}{dt}=-1/min[/tex]

We have to find  the rate of change of the volume of the pyramid at that instant.

Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]

Substitute the values

[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]

[tex]\frac{dV}{dt}=105m^3/min[/tex]

Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]

Answer:

Circle, angle, and line segment.

Answer:

The perimeter is 24 in2

Step-by-step explanation:

You have to add up all of the sides together

Answer:

the answer 24

Step-by-step explanation:

P= 10+6+8=24 in

because perimeter is just adding

Answer:

9

Step-by-step explanation:

Khan Academy

the answer for the question is 24

.

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

Answer:

foot marker 320 at t=0

Step-by-step explanation:

8 sec x 85 ft/s =680 ft

1,000ft - 680 ft = 320 ft

At t = 0 seconds the car was at a foot marker of 320 feet.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A car is traveling along a test track in the desert at a constant rate of 85 feet per second.

After 8 seconds, the car is at foot marker 1000.

So, In those 8 seconds, the car has traveled (8×85) = 680 feet.

Therefore, Initially, the car was at (1000 - 680) feet.

= 320 feet.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer: I think it's Sporting Life:)

hope this help!

Answer:

66

Step-by-step explanation:

added and dont stop untill the end

Answer:

7 yards

Step-by-step explanation:

sqrt(49)=7

The value of the x is 7 yards. The correct option is b.

Square is a polygon which has 4 sides. All four sides of the square are equal length and perpendicular to each other, that means the angle between two adjacent side is 90°.

Given shape is a square.

And side of the square is x yards.

The area inside the garden is 49 square yards.

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

So, the area of the square = (side x side)

Substituting the values,

49 = (x)²

x = 7

Therefore, the side is 7 yards.

To learn more about the square;

https://brainly.com/question/28776767

#SPJ2

Answer:

The standard form is 3x-5y-30=0

Answer:

78.5cm^2

Step-by-step explanation:

Circumference equation = 2πr with radius r

10π = 2πr so r = 10π/2π = 5

Area of circle = πr^2

π * 5^2 = π * 25 = 25π = 78.53981... = 78.5 cm^2

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

Answer: they would both have $240 in 3 months

Step-by-step explanation:

180 + 20 + 20 + 20 = 240

120 +40 + 40 + 40 =240

-

180+20=200+20=220+20=240

120+40=160+40=200+40=240

and there u go :)

9514 1404 393

Answer:

  y = 1/2x - 4

Step-by-step explanation:

The point-slope form of the equation for a line is a useful starting place when slope and point are given.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y -(-2) = 1/2(x -4) . . . . line with slope 1/2 through point (4, -2)

  y = 1/2x - 4 . . . . . . . . eliminate parentheses, subtract 2

Answer:

Min 31

Q1 38

Median 49

Q3 52

Max 65

Step-by-step explanation:

Max number

Min number

Answer:

Min: 31

Q1: 38

Median: 49

Q3: 52

Max: 65

Step-by-step explanation:

Min Number: 31

Max Number: 65

Answer: $5115

Step-by-step explanation:

The following information can be gotten from the question:

Mean = 6800

Standard deviation = 2500

We will then find the Z score of the 25th percentile which will be -0.674.

Therefore, the cutoff for the salary that corresponds to the lower 25% of all salaries will be:

= 6800 - 0.674 × 2500

= 6800 - 1685

= 5115

The cutoff is $5115

Answer:

C or D

Step-by-step explanation:

Answer:

I think option D 3 times y divided by 8