What percentage is 55cm of 4 metres ?

Using the z-distribution, the 95% confidence interval for the proportion of unsatisfactory meals is given by:

(0.0553, 0.0647).

A confidence interval of proportions is given by the following rule:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size of the interval are given as follows:

[tex]\pi = \frac{600}{10000} = 0.06, n = 10000[/tex]

The lower bound of the interval is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.06 - 1.96\sqrt{\frac{0.06(0.94)}{10000}} = 0.0553[/tex]

The upper bound of the interval is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.06 + 1.96\sqrt{\frac{0.06(0.94)}{10000}} = 0.0647[/tex]

Hence the interval in (LCL, UCL) format is:

(0.0553, 0.0647).

The problems asks for the 95% confidence interval of unsatisfactory meals, considering that, out of 10000 meals, 600 were unsatisfactory.

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The given function y = x³ is not a linear function but a cubic function.

For the given function;

y = x.x.x

This, can be written, after adding the power of x as;

y = x³

Now, put x = 1; y = 1

Put x = 2; y = 8

Put x = 3; y = 27

This will not form a straight line but a cubical curve.

As, the function is not changing linearly but cubical.

Thus, the function is not linear function.

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Answer:

23-i

Step-by-step explanation:

Multiply using the FOIL method and after that combine the real and imaginary parts of the expression.

Answer:x=1

Step-by-step explanation:

you would have to distribute the 5 into the (x+4)

then it would be

5x+20-3^2=2^4

then do the exponents

5x+20-9+16

then add 9 by both sides

5x+20=25

then subtract 20 on both sides

5x=5

then divide 5 on both sides

x=1

then check your work by putting 1 for x and you get 2^4=16

Answer:

Step-by-step explanation:

find x :

5( x + 4 ) - 3^2 = 2^4

5x + 20 - 9 = 16

5x = 16 - 20 + 9

5x = 5

x = 5 : 5

x = 1

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

check

5(1 + 4) - 3^2 = 2 ^4

25 - 9 = 16

16 = 16

the answer is good

The number of elements that are there in the sample space is 6.

It should be noted that sample space simply means the collection or the set of possible outcomes that are in the random experiment.

From the information, in the special deck of cards has 10 cards. four are green, three are blue, and three are red.

Therefore, the sample space will be:

S = GH, GT, BH, BT, RH, RT

It should be noted that H and T represents the head and tail.

Therefore, there are 6 elements.

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A rock climber throws a first aid kit to the another climber who is higher up the mountain, the initial velocity of the kit is 12 m/s at an angle of 71 above the horizontal, at the instant when the kit is caught, it is traveling horizontally, so its vertical speed is zero, height difference between climbers is 0.85 m.

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by specific unit of time (for example, 60 km/h northbound). In kinematics, area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

Vertical motion of the first aid kit:

The Initial vertical velocity, u = 5.70 sin 45.7 = 4.08 m/s

Acceleration, g = -9.81 m/s²

When climber who is higher up the mountain catches the kit it's vertical speed is zero.

Final vertical velocity, v = 0 m/s

We have the equation of motion, v² = u² + 2as

Substituting

0² = 4.08² + 2 x -9.81 x s      

s = 0.85 m

So kit travels 0.85 m vertically.

Height difference between the climbers = 0.85 m.

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The surface area of the sphere is 84453.44 yards².

We are given that:

the ride goes around the widest circle of the sphere whose circumference is =  514.96 yard.

The widest circle of the sphere is the plane contains the sphere's center

The circumference of the widest circle is:

C = 2 π r

where r is radius of the sphere.

The surface area of the sphere is defined as:

A = 4 π r²

where  r is radius of the sphere.

So, we get that:

514.96 =2 π r

514.96= 2 × 3.14 × r

r = 514.96 ÷ (2 × 3.14)

r = 514.96 ÷ 6.28

Surface Area A = 4 π r²

A = 4 × 3.14 × (514.96 ÷ 6.28) × (514.96÷ 6.28)

A = 84453.44 yards²

Therefore, we get that, the surface area of the sphere is 84453.44 yards².

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a a a a a a a a a a a a a a a aa a a

Answer:

The measure of the largest angle is 145°

Step-by-step explanation:

Since the angles form a linear pair taking two angles that add to 180 and solving for x will give you the answer. the sentence "One angle is 5 more than four times the size of the other angle." your equation should look like this:

5 + 4x. the other angle uses the variable x. So the equation 5 + 4x + x = 180 should result in x = 35. That saying, the smaller angle is 35 and to find the larger angle either plug in x or subtract 180-35. both shoukd result in 145° which is the larger angle.

Answer:

200k

Step-by-step explanation:

4x50=200

The cost of buying 4 kg of potatoes at 50k per kg is 200k.

To calculate the cost of buying 4 kg of potatoes at 50k per kg, you can simply multiply the weight (4 kg) by the price per kilogram (50k).

Cost = 4 kg * 50k per kg

Now, perform the calculation:

Cost = 200k

So, the cost of buying 4 kg of potatoes at 50k per kg is 200k.

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The expression that will give a value of 74 is C. (75 - 5) × 1 + 4.

It should be noted that an expression is used to how the relationship between the variables that are expressed in the data or information given.

In this case, we want to find the expression that will give a value of 74. This will be :

= (75 - 5) × 1 + 4

= 70 × 1 + 4

= 70 + 4

= 74

The correct option is C.

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Answer: yes then no

Step-by-step explanation:

The simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

As given in the question,

Given expression :

 ( a⁴b²c³d ) / acbd

Simplified form of the given expression using rules of power and exponents:

Since this is division of algebraic fractions, the index (power or exponent) of the like literals in the numerator and denominator are to be subtracted. Thus index of variable a reduces from 4 to 1. Similarly index of variable b reduces from 2 to 1 and that of c reduces from 3 to 2. Lastly variable d remains in the denominator as there is no corresponding factor in the numerator.

( a⁴b²c³d ) / acbd

= (a⁴⁻¹ )(b²⁻¹ )(c³⁻¹ )(d¹⁻¹)

= a³ bc²d⁰

= a³bc²

Therefore, the simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

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Answer:

4 inches

Step-by-step explanation:

the cube has a volume (V) calculated as

V = s³ ( s is the side length )

given V  = 64 , then

s³ = 64 ( take the cube root of both sides )

s = [tex]\sqrt[3]{64}[/tex] = 4

side length is then 4 inches

Answer:

1 + 2 = 3

2 + 3 = 5

3 + 4 = 7

4 + 5 = 9

5 + 6 = 11

Step-by-step explanation:

Answer:

-0.54, 5.54

Step-by-step explanation:

[tex]x^2-5x-3=0 \\ \\ x=\frac{5 \pm \sqrt{25+12}}{2} \\ \\ x=\frac{5}{2} \pm \frac{\sqrt{37}}{2} \\ \\ x \approx -0.54, 5.54[/tex]

When two amounts are proportionate, they fluctuate at the same rate, maintaining the constancy of their relationship.

Here x be the proportionality constant  its value 5.5.

Matthew bought 2 movie tickets for $11,

Rosa bought 7 movie tickets for $38.50.

let the value of per ticket is x

2x = 11 and 7x = 38.5

7x- 2x = 38.5 -11

x = 5.5

here x be the proportionality constant  its value 5.5.

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In mathematics, an operation is a function that transforms 0-n operands or parameters into a known output value. The number of operands affects how complicated the operation is. 90.95 feet per second equates to 62 miles per hour.

An operation in mathematics is the function that converts 0–n parameters or operands into definite output value. The complexity of operation depends on how many operands there are.

The operations that are the most frequently studied are binary operations (i.e., operations of the arity 2), which include addition and multiplication, and the unary operations (i.e., operations of the arity 1), which include additive inverse and the multiplicative inverse. A zero-arity operation, also known as nullary operation, is a constant. An illustration of ternary operation, also known as an operation of arity 3, is the mixed product.

Usually, it is considered that arity is constrained. Even so, the infinitary operations are occasionally considered, in which case "normal" finite dimensionality operations are referred to as finiteary operations.

A partial operation is described as being similar to operation but using a partial function in place of a function.

1miles/hour= 1.467feet/second

62 miles/ hours= 62*1.467feet/second

                        = 90.95 feet/second

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The transformation for Rectangle A which would result in Rectangle B is: A. reflection across the x-axis.

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection over the x-axis would maintain the same x-coordinate (10 → 10) while the sign of the y-coordinate changes from positive to negative (4 → -4) . Therefore, a reflection over the x-axis is given by this rule:

(x, y) → (x, -y) = (10, 4) → (10, -4).

In conclusion, a reflection across the x-axis would transform Rectangle A to Rectangle B.

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Answer:

8000 times 2x times 1

Step-by-step explanation:

(8 times 10^3) (2xtimes 10^1)

8 times 10^3=8000

= 8000 times 2x times 1

= 160000x

Answer: m<1 = 151     m<2 = 29         m<3 = 151

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\angle1 = 151° [/tex]

[tex]\qquad \tt \rightarrow \: \angle2 = 29 \degree[/tex]

[tex]\qquad \tt \rightarrow \: \angle3 = 151 \degree[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

We can use angle pairs of intersecting lines to find the remaining angles :

[tex]\qquad \tt \rightarrow \: \angle4 + \angle1 = 180 \degree[/tex]

[ linear pair ]

[tex]\qquad \tt \rightarrow \: 29 \degree + \angle1 = 180 \degree[/tex]

[tex]\qquad \tt \rightarrow \: \angle1 = (180 - 29) \degree[/tex]

[tex]\qquad \tt \rightarrow \: \angle1 = 151\degree[/tex]

next,

[tex]\qquad \tt \rightarrow \: \angle2 = \angle4[/tex]

[ by vertical opposite angles ]

[tex]\qquad \tt \rightarrow \: \angle2 = 29 \degree[/tex]

and,

[tex]\qquad \tt \rightarrow \: \angle3 = \angle1[/tex]

[ by vertical opposite angles ]

[tex]\qquad \tt \rightarrow \: \angle3 = 151 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Using the law of indices, [tex]1024^{\frac{2}{5} } = 16[/tex]

The expression can be solved using the law of indices as follows:

[tex]1024^{\frac{2}{5} }[/tex]

using law of indices, involving bracket.

Brackets with indices are where we have a term inside a bracket with an index (or power) outside of the bracket.

To do this we can raise everything inside the bracket to the power.

[tex](a^{b} )^{x} = a^{bx}[/tex]

Therefore,

1024 = 2¹⁰

Hence,

[tex]2^{\frac{2}{5} (10)} = 2^{\frac{20}{5} } = 2^{4} = 16[/tex]

Therefore,

[tex]1024^{\frac{2}{5} } = 16[/tex]

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 (-7,∞) &  (−∞, 1/2] are the interval notation.

What is interval notation in math?

8x-5>=6x-1 or 4+4x<=3x-3

8x-5 ≥6x-1

8x - 5 ≥ 6x - 1

8x - 6x ≥  5 - 1

 2x ≥  1

   x ≥  1/2

Therefore, x could be any number less than or equal to 1/2. In interval notation, this looks like

 (−∞, 1/2]

4+4x ≤ 3x-3

4 + 4x ≤  3x - 3

4x - 3x ≤  -3 - 4

   x ≤  -7

Therefore, x could be any number less than -7 , but x couldn't be -7, since that would make the two sides of the inequality equal. In interval notation, this looks like:

   (-7,∞)

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The answer is x = 1, assuming that the space is meant to be an equal sign.

Answer:

80%

Step-by-step explanation:

you're occupying 800 out of 1000

the way to write this mathematically is to write: 800/1000,

which equals 0.8

then to make this a percentage you x100

and your answer is 80%

Answer:

16

Step-by-step explanation:

gof(-6) means g(f(-6))

f(-6)=-(-6)-2

=6-2=4

g(4)=4^2=16

FINDING THE DIFFERENCE WE SUBRACT

[tex]8 - 4 \\ = 4[/tex]

FINDING THE QUOTIENT WE DIVIDE

[tex]8 \div 4 \\ = 2[/tex]

HOPE THIS HELPS

The monetary value of gold, silver and bronze is $0.5, $0.35 and $0.25 respectively.

The given conditions in the question are-

Let the monetary value of gold be 'a'.

Let the monetary value of silver be 'b'.

Let the monetary value of bronze be 'c'.

The total monetary value is $20.

The equation will be;

14 gold, 20 silver, and 24 bronze

14a + 20b + 24c = 20      .......eq1

20 gold, 15 silver, and 19 bronze

20a + 15b + 19c = 20   .......eq 2

30 gold, 5 silver, and 13 bronze.

30a + 5b + 13c = 20       .....eq 3.

Solving equation 1,2 and 3 by elimination method.

a = 1/2

b = 7/20 and

c = 1/4

Thus, the monetary value of gold, silver and bronze is $0.5, $0.35 and $0.25 respectively.

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