Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E) = 0.24, P(B) = 0.16, and P(E and B) = 0.13. Find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both.

a. 0.53
b. 0.13
c. 0.6
d. 0.27

The answer to the question and value is 5

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

Step-by-step explanation:

Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.              

Step-by-step explanation:

Given

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.                        

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

Answer:

C = 105 + 50x

2) variable unit = Numbe of color

Fixed unit = number of shirt

Step-by-step explanation:

Given that :

Number of members = 35

Charge per shirt = $3

Charge per color = $50

relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order

Let cost of order = C

Number of color = x

Number of Tshirt ordered = 35

Cost = (charge per shirt * number of shirts) + charge per color * number of colors)

C = (3 * 35) + ($50 * x)

C = 105 + 50x

Number of shirts to be ordered has been fixed tnd this includes it's 35 members

The number of color to be used hasn't been adopted and can thus be varied

Answer:

And what cuase might that be...? Jkjk ofc ill help

Step-by-step explanation:

Amswer is C. im 99 percent sure i did the math and to double check i put it into a site ans it said it was C! Hope this helps! :)

Answer:

The check digits

a) x₁₂ ≡ 5( mod 10 )

b) x₁₂ ≡ 2( mod 10 )

c)  x₁₂ ≡ 0( mod 10 )

d)  x₁₂ ≡ 3( mod 10 )

Step-by-step explanation:

Given the data in the question;

We know that the formula for determining the UPCs check is;

3x₁ + x₂ + 3x₃ + x₄ + 3x₅ + x₆ + 3x₇ + x₈ + 3x₉ + x₁₀ + 3x₁₁ + x₁₂ ≡ 0( mod 10 )

now we will substitute the given values to determine the value of the last bit

a)

73232184434

we substitute into the formula

3×7 + 3 + 3×2 + 3 + 3×2 + 1 + 3×8 + 4 + 3×4 + 3 + 3×4 + x₁₂ ≡ 0( mod 10 )

                                                                                          x₁₂ ≡ 5( mod 10 )

b)

63623991346

we substitute into the formula

3×6 + 3 + 3×6 + 2 + 3×3 + 9 + 3×9 + 1 + 3×3 + 4 + 3×6 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂ ≡ 2( mod 10 )

c)

04587320720

we substitute into the formula

3×0 + 4 + 3×5 + 8 + 3×7 + 3 + 3×2 + 0 + 3×7 + 2 + 3×0 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂  ≡ 0( mod 10 )

d)

93764323341

we substitute into the formula

3×9 + 3 + 3×7 + 6 + 3×4 + 3 + 3×2 + 3 + 3×3 + 4 + 3×1 + x₁₂ ≡ 0( mod 10 )

                                                                                         x₁₂ ≡ 3( mod 10 )

Answer:

185

Step-by-step explanation:

firstly you calculate all in brackets

(280+20)÷3

300÷3

100-15

85

now you calculate 10×5=50

2×50=100

85+100=185

so firstly deal with problem inside the brackets, then you got multiplication and division outside their brackets and finally get 85 +100 =185

Step-by-step explanation:

When it says you need to prove something

you need to place a statement about what you need to prove

and then a reason for why.

In this case

You need to prove that

Side AB is congruent (identical in form) to Side ED

Answer:

True

Step-by-step explanation:

Hope this helped :)

Answer:ITS FALSE!!

Step-by-step explanation:

Answer:

I aint never seen two pretty best friends, its always one of em gotta be ugly

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(3+x)+x=27

2x+3=27

2x=24

x=12

Answer:

13.08 United States Dollars

Answer:

what grade are u in just need to know so I can help bc I dont understand the question

Answer:

y = 50x + 26.50

Step-by-step explanation:

we put the x after 50 be cause we don't know how many hours he worked

then add 26.50 the cost of the parts.

Hoped this helped.

Answer:

C: y=50x+26.50

Step-by-step explanation:

I just took the test and i got it right!!! 100%

do i get brainlest

Answer:

multiply it by .12 then it says for 12 months, multiply it by 12 then

Step-by-step explanation:

Answer:

ok does that mean me dont get brainliest

Step-by-step explanation:

Answer:

What do you want us to answer here?

Step-by-step explanation:

???

Answer: -49,152

Step-by-step explanation

r =4  -192/-48, -48/12

8th term= -3*4^7                 =-3*16384                 =-49,152

The first four terms of the sequence below ; -3, -12,-48,-192, ...therefore, the 8th term of this sequence is -49,152.

Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

[tex]a, ar, ar^2, ar^3, \cdots[/tex]

Thus, the nth term of such sequence would be  [tex]T_n = ar^{n-1}[/tex](you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

The first four terms of the sequence below.

-3, -12,-48,-192, ...

We need to find the 8th term of this sequence

r = 4 = -192/-48, -48/12

8th term = -3 x 4^7                

        = -3 x 16384                

        = -49,152

Learn more about geometric sequence here:

https://brainly.com/question/2735005

#SPJ2

Answer: a) 62.591 lb  b) 7.5

Step-by-step explanation:

Answer:

a) 62.625 lb

b) 8.35

Step-by-step explanation:

a) Use a proportion.

4 gal is to 33.4 lb as 7.5 gal is to x lb.

4/33.4 = 7.5/x

4x = 33.4 * 7.5

4x = 250.5

x = 62.625

Answer: 62.625 lb

b) 33.4/4 = 8.35

Tada!!!!!

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

Answer:

D. no the graph fails the vertical line test

Answer:

4.5

Step-by-step explanation:

If they are symilar their sides are in proportion so write the proportion

[tex]\frac{x}{5} =\frac{2.7}{3}[/tex]   you can pick any other 2 sides as long as you take them in the same order

x= 5*2.7/3=4.5

Answer:

C. y = -2x + 3

Step-by-step explanation:

The equation of a line in slope-intercept form is given as y = mx + b.

m = slope, while b = y-intercept.

We already know that the slope, m, = -2.

We are given a point also as (0, 3). This means, at x = 0, y = 3.

Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.

Thus,

Slope (m) = -2,

y-intercept (b) = 3

Plug these values into y = mx + b

✅The equation of the line in slope-intercept form would be:

y = -2x + 3

Answer:

−3x⋅(x+6)⋅(x−8)

Step-by-step explanation:

hp this helps

Answer:

No

Step-by-step explanation:

it doesn't add up so. No.

Answer:

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].

Step-by-step explanation:

From statement we understand that parabola has its axis of symmetry in an axis parallel to y-axis. According to Analytical Geometry, the minimum distance between focus and directrix equals to twice the distance between vertex and any of endpoints.

If endpoints are (-5, 5) and (-5, -1), respectively, then such distance ([tex]r[/tex]), dimensionless, is calculated by means of the Pythagorean Theorem:

[tex]r = \frac{1}{2}\cdot \sqrt{[-5-(-5)]^{2}+[5-(-1)]^{2}}[/tex]

[tex]r = 3[/tex]

And the location of the vertex ([tex]V(x,y)[/tex]), dimensionless, which is below the focus, is:

[tex]V(x,y) = F(x,y)-R(x,y)[/tex] (1)

Where:

[tex]F(x,y)[/tex] - Focus, dimensionless.

[tex]R(x,y)[/tex] - Vector distance, dimensionless.

If we know that [tex]F(x,y) = (-5,5)[/tex] and [tex]R(x,y) = (0,3)[/tex], then the location of the vertex is:

[tex]V(x,y) = (-5,5)-(0,3)[/tex]

[tex]V(x,y) =(-5,2)[/tex]

In addition, we define a parabola by the following expression:

[tex]y-k = \frac{(x-h)^{2}}{4\cdot r}[/tex] (2)

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.

[tex]r[/tex] - Distance of the focus with respect to vertex, dimensionless.

If we know that [tex]h = -5[/tex], [tex]k = 2[/tex] and [tex]r = 3[/tex], then the equation of the parabola is:

[tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex]

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].