0.0158 rounded to the nearest tenth

The probability that the jury will make a wrong decision is 0.033

The number of jury that makes the wrong decision can be modeled as a binomial random with parameters n=7 and p=0.2. This jury as a whole will make wrong decision if 4, 5, 6, or 7 make the wrong decision.

Now, denote the events with A, B, C, D for 4, 5, 6, 7 respectively. The probability of this union is the sum of probabilities, so that:

P(Jury Error) = P(A)+P(B)+P(C)+P(D)

[tex]\left \ ({{7} \atop {4}} \right.)(0.2)^{4} *(0.8)^{3}+\left \(( {{7} \atop {5}} \right. )(0.2)^{5} *(0.8)^{2} +\left \ ({{7} \atop {6}} \right.)(0.2)^{6} *(0.8)^{1} +\left \(( {{7} \atop {7}} \right.)(0.2)^{7} *(0.8)^{0}[/tex]

[tex]=0.033[/tex]

[tex]P(Jury Error)=0.033[/tex]

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A card is drawn randomly from a standard 52-card deck. then the probabilities are a) 1/13 b) 3/13 and c) 10/13

There are four 3's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 3. This means that the probability will be:

p = 4/52

p= 1/13

b.

For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:

4*3 =12

The total possible cards are, still, 52, so, the probability will be

p= 12/52

p=3/13

c.

We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face card its:

p=52/52

p=1

so

p( the card is a face card ) + p( the card is not a face card) =1

but, we know that

p( the card is a face card ) =3/13

so

p( the card is not a face card) =1- 3/13

                                                 = 10/13

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Answer:

Step-by-step explanation:

[tex]y^2-10y+30=\\y^2-2(y)(5)+5^2-5^2+30=\\(y-5)^2-25+30=\\(y-5)^2+5[/tex]

[tex](y-5)^2\geq 0\\\Rightarrow\ (y-5)^2+5 > 0\\Thus,\ y^2-10y+30 > 0[/tex]

Answer: 216/3

Step-by-step explanation:

1 minute / 3 minutes = 1/3

216 feet * 1/3 = 216/3 feet per minute

Answer:

72 feet

Step-by-step explanation:

This question tests on the concept of conversion.

Given from the question, given the man can walk 216 feet in 3 minutes,

3 minutes = 216 feet

(3÷3) minute = (216 ÷ 3) feet

1 minute = 72 feet

Answer:

neither

Step-by-step explanation:

The lines are neither. They are perpendicular because when I graphed them, line 2 intersected line 1 at 5, -2.

Hope this helps! :)

Answer:

C

D

1,2,3,4,5,6 And 7

Step-by-step explanation:

1.  By the nature of triangles, the sum of the two sides has to be greater than the third and the difference between two sides has to be less than the third side.

A. 5+6=11   Wrong

B. 1+3<5     Wrong

C. 5+16>20     Right

    16-5<20

D.7+7=14        Wrong

2. Two sides of a Triangle are 15 and 8

 A. 8+9>15         15-8<9       Can

 B. 8+13>15        15-8<13      Can

 C. 15+8>21        21-8<15      Can

 D. 15+8<25       Cannot

3.  According to the Trilateral Relation of Triangle

Let's say the length of the third side is X       (X≠Z)

i. 4-4<x         x>8            0<X>8     (X≠Z)

 4-4>x          x<8      

i. In 0,1,2,3,4,5,6,7,8,9,10

  X could be 1,2,3,4,5,6, and 7

TRIANGLE

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon.

Each triangle has three sides and three angles, with some of the angles being the same.

In the case of a right triangle, the side opposite the right angle is known as the hypotenuse, while the other two sides are known as the legs.

Trilateral Relationship of Triangle

A trilateral is a shape with three sides in geometry. 'Of trilateral figures, an equilateral triangle is one with three equal sides, an isosceles triangle is one with two equal sides, and a scalene triangle is one with three unequal sides.'

Triangle Inequality

The triangle inequality asserts that the sum of the lengths of any two sides of a triangle must be larger than or equal to the length of the remaining side in mathematics.

The condition of the triangle's sides

According to the triangle inequality, the lengths of any two triangle sides must be more than or equal to the length of the third side. Only a degenerate triangle with collinear vertices can have that total equal to the length of the third side.

If and only if the side lengths satisfy the triangle inequality, a triangle with three given positive side lengths exists.

Answer:

finding the square root

Step-by-step explanation:

given 5² = 25

then the opposite is finding the square root , that is

5 = [tex]\sqrt{25}[/tex]

The equation for the linear model in the scatter plot obtained by choosing

the two points closest to the line is  y = - 2x + 4

The equation for the linear model in the scatter plot obtained by choosing

the two points closest to the line can be solved as follows:

The two point closest to the line are as follows:

(2, 0)(1, 2)

Using the linear equation,

y = mx + b

where

Hence,

m = 2 - 0 / 1 - 2

m = 2 / - 1

m = -2

Therefore, the y-intercept using (2, 0) will be as follows:

0 = -2(2) + b

b = 4

Hence, the equation for the linear model  is y = - 2x + 4

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Answer:

10.3 is the length

Step-by-step explanation:

If the area of a parallelogram is B * H then finding one side is dividing area by base or by height

88.58 / 8.6

Answer:

Step-by-step explanation:

88.58 divided by 8.6 is 10.3. That is your answer. 10.3.

Answer:0.5

Step-by-step explanation:

Answer: l=67ft

Using the formula

A=wl

Step-by-step explanation:

Solving

l=A

w=3752

56=67ft

Answer:

g(x) = x - 3

Step-by-step explanation:

An inverse function undoes a function meaning (x - 3) is the only function that undoes (x + 3).

Recall that, when two terms are being multiplied and they have the same number we can add the exponents:

Applying the above property to the given expressions, we get:

Simplifying the above results, we get:

Answer:

Answer: what’s the question? :D

Step-by-step explanation:

Answer:

37.6

Step-by-step explanation:

4*9.4 = 37.6

Answer:

140

Step-by-step explanation:

Answer:

12+24÷(2^2+8)

Step-by-step explanation:

that should be the answer

if you struggle with questions that are like this use trial and error

Answer:£7.80p

Step-by-step explanation:

To find 10% you would divide 13.00 by 10 which would give you 1.30.You then times that by 4 and the answer (£7.80)would be 40% off

Hope that Helps!!

When the probability of choosing a rotten apple from the bag of apples is 4/5, the term that describes the probability is C. likely.

It should be noted that probability simply means the occurence of a particular event. It should be noted that we know that the probability is between 0 to 1.

In this case, the probability of choosing a rotten apple from the bag of apples is 4/5. It should be noted that the probability is likely since it's close to 1.

Therefore, the correct option is C.

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The probability of choosing a rotten apple from the bag of apples is 4/5. Which term best describes this probability

impossible

unlikely

likely

certain

Answer:

Below in bold.

Step-by-step explanation:

Let x be the amount of 20% saline solution then the amount of 48% will

8 - x milliliters.

So,

0.20x + 0.48(8 - x) = 0.32* 8

0.20x + 3.84 - 0.48x = 2.56

-0.28x = -1.28

x = -1.28/-0.28

  = 4.57 milliliters.

8 - x = 3.43 milliliters

The answer is:

4.57 milliliters of 20% solution and 3.43 milliliters of the 48% solution.

Line equation is 5x+2y=10. The point (-6,7). An equation line through the given point and parallel to the given equation is 5x+2y+16=0.

Given that,

Line equation is 5x+2y=10

The point (-6,7)

We have to find an equation line through the given point and parallel to the given equation, in slope-intercept form.

Take equation 5x+2y=10

2y=10-5x

y=(10-5x)/2

y=5-5/2x

The slope of the equation is -5/2

Now, the slope equation formula is

(y-y₁)=m(x-x₁)

Here,

m is -5/2

x₁=-6

y₁=7

We substitute in the formula

(y-7)=-5/2(x-(-6))

(y-7)=-5/2(x+6)

2(y-7)=-5(x+6)

2y-14=-5x-30

5x+2y=-30+14

5x+2y=-16

5x+2y+16=0

Therefore,  an equation line through the given point and parallel to the given equation is 5x+2y+16=0.

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Kelly multiplied big number with a calculator. 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315.

Given that,

Kelly multiplied big number with a calculator.

We have to find the standard form of 3.15e-15.

3.15e-15 is written in scientific notation, often called standard form. used to express big or tiny numbers differently.

3.15 = coefficient

e = 10 to the power of

-15 = exponent

We get, The standard form as

= 3.15e-15

= 3.15 × [tex]10^{-15}[/tex]

= 0.00000000000000315

Therefore, 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315

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Answer:3,500,000,000,000,000

Step-by-step explanation:

3.5x10^15=3,500,000,000,000,000

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

well then, that simply means that

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}[/tex]

The number of bags of blueberries and grapes that Mr. Rodriguez can make is 10.

If the number of blueberries and grapes in the bags of snacks would be the same, the common factor of 20 and 30 have to be determined.

A factor is a number that divides another number evenly. For example, a factor of 200 is 10. A common factor is a factor that two or more number share. For example, a common factor of 10 and 20 is 5.

Factors of 20 = 1, 2, 4, 5, 10, 20

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

Common factors = 1, 2, 3, 10

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Answer:10 bag thank i m smart

Step-by-step explanation:

Answer:

x=4.6

Step-by-step explanation:

Because we are finding C, first use the distributive property.

33-(2c+4)=2(c+7)+c can turn into:

33-2c+4=2c+14+c

Now, combine like terms.

33+4=37

2c+c=3c

Now you are left with:

37-2c=3c+14

Now, add 2c on both sides.

37=5x+14

Next, subtract 14 on both sides.

37-14=23

23=5x

Finally, divide by 5 on both sides

x=4.6

Answer:

x = 28°

Step-by-step explanation:

using the cofunction identity

cos x = sin(90 - x) , then

cos62° = sin(90 - 62)° = sin28°

Answer:

42 degree

Step-by-step explanation:

180-132=48

48+90=138

180-138=42

Answer:

Angle e is 42°.

Hope this helps!

Step-by-step explanation:

Total degrees of a triangle is 180°.

The square in the bottom means 90°, the angle with 132° is 48° because it's 180-132. 90 + 48 is 138, 180 - 138 is 42. Angle e is 42°.

Answer:

-6x+8

Step-by-step explanation:

-2(3x-4)

-2(3x)-2(-4)

-6x+8

Triangle ABD is congruent to triangle DCA.

What is congruency of triangles?

Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. Two triangles are congruent if their respective sides are the same length and their corresponding angles are the same size.

Given, AOC and BOD are the diameters of a circle

Then, In triangles ABD and DCA,

∠BAD = ∠ADC = 90°

BD = CA (diameter)

AD = DA (common)

Thus, by RHS rule the triangles are congruent

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