All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High frequency EM is thought to be a cause of cancer; the lower frequencies associated with household current are generally assumed to be harmless. The following table summarizes the probability distribution for cancer sufferers and their wiring configuration in the Denver area.

Leukemia Lymphoma Other Cancers
High Frequency wiring 0.242 0.047 0.079
Low frequency wiring 0.391 0.098 ???
(a) What is the missing probability (labelled ???) in the above table?

(b) What is the probability of having high frequency wiring among cancer suffers in the Denver area?

(c) Is the event "Having Leukemia" independent of the event "Having high frequency frequency wiring"? Explain.

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

Answer:

The common difference is -4/3.

Step-by-step explanation:

Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

We are given that the first term a is 31.

We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:

[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]

Solve for d. Simplify:

[tex]-5=31+27d[/tex]

Thus:

[tex]\displaystyle 27d=-36[/tex]

Divide both sides by 27. Hence, the common difference is:

[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]

Answer:

-4/3

Step-by-step explanation:

This question is equivalent to:

Find the slope of a line going through points (28,-5) and (1,31).

*Arithmetic sequences are linear. The common difference is the slope.

Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.

(28,-5)

(1,31)

---------subtracting

27, -36

So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.

Answer:

are you asking how many points are needed to get 90% in

a class that has a total of 3400 points ?

id so that is : 3060

Step-by-step explanation:

1. Divide 240 by 10 = 24

2. Multiply 24 • 8 = 192

Michele will need 192 oz. of mayonnaise.

Answer:

192 oz

Step-by-step explanation:

Hi there!

1) Create a proportion

[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]

2) Solve for x

[tex]\frac{8}{10} =\frac{x}{240}[/tex]

Multiply both sides by 240

[tex]\frac{8}{10} *240=x\\192=x[/tex]

Therefore, Michele would need 192 oz of mayonnaise.

I hope this helps!

Answer:

The answer should be: B

I think it's B because there are 2 cups of water (2c) and 7 bottles of water (7w) which costs $16 so that would be 2c +7w=16. Also for the other one, it's 3 cups (3c) and 8 bottles of water (8W) and the cost is $19 so that would be

3c + 8w =19

Step-by-step explanation: Hope this helps and gl :))

Answer:

2One-fifteenth

Step-by-step explanation:

[tex]3\frac{13}{15} - 1\frac{4}{5}[/tex]

[tex]2\frac{13 - 12}{15}[/tex]

2 [tex]\frac{1}{15}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Answer:

y = 6,2,0,0,2,6

hope this helps

Step-by-step explanation:

Answer:

4 is the answer to this question

Answer:

C = <CDB, SAS

You can prove side BD because of the reflexive property (using two of the same sides to prove something) and you are given the other side and the angle. So, since you have a side, angle, and side in that order, you can prove it with SAS.

Answer:

.92

Step-by-step explanation:

sin A = opp side/ hypotenuse

We can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 +7^2 = AC ^2

9+49 = AC ^2

58 = AC^2

Taking the square root

sqrt(58) = hypotenuse

sin A = 7/sqrt(58)

sin A =.91914503

sin A = .92

Answer:

15:21:35 (I'm not sure, but this is my best guess)

Step-by-step explanation:

15:21 = A:B (plugging in 3 as a test)

21:35 = B:C

15:21:35 = A:B:C (can't simplify)

Answer:

x-intercept = (-8,0)                         y-intercept = (0,14)

Step-by-step explanation:

-7x + 4y = 56

4y = 7x + 56

y = 7/4x + 14

y-intercept = 14

0 = 7/4x + 14

-7/4x = 14

x = -8

Answer:

[tex]b=80[/tex]°

Step-by-step explanation:

The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equivalent to the arc surrounding it. One can apply this here by stating that the measure of the arc surrounding the (90) degree angle is (90) degrees.

The total degree measure of a circle is (360). Thus one can form an equation and solve it to find the measure of the arc surrounding the angle (b). Call the arc surrounding angle (b); ([tex]b_1[/tex]).

[tex](b_1)+(90)+(110)=360[/tex]

Simplify,

[tex]b_1+200=360[/tex]

Inverse operations,

[tex]b_1+200=360[/tex]

[tex]b_1=160[/tex]

The peripheral angles theorem states that if the vertex of an angle formed between a tangent and a chord, is on the circumference (outer edge) of a circle, then the measure of the angle is equal to half of the measure of the surrouding arc. Please note that a chord is a line segment in a circle that intersects the circle in two points. A tangent is a line segment that intersects a circle at one point. One can apply this here by stating the following,

[tex]b=\frac{b_1}{2}[/tex]

Substitute,

[tex]b=\frac{160}{2}[/tex]

Solve,

[tex]b=80[/tex]

Answer:

Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.

Recordar que para un rectángulo de largo L, y ancho W, el área es:

A = L*W

Entonces el área del piso, será:

A = 435cm*375cm = 163,125 cm^2

Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.

No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.

Dicho de otra forma

el largo, 435cm, tiene que ser múltiplo de L

el ancho, 375cm, tiene que ser múltiplo de L.

Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm

En este caso, el área de cada baldosa es:

a = L^2 = 5cm*5cm = 25cm^2

Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.

N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.

También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm

Entonces las baldosas podrían tener 15cm de lado.

En este caso, el área de cada baldosa es:

A = (15cm)^2 = 225cm

En este caso el número total de baldosas necesarias será:

N =  ( 163,125 cm^2)/(225cm^2) = 725 baldosas.

Answer:

If two angles have common side and they shares common vertex, they are called adjacent angles.

When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.

Two angles shown in diagram are adjacent as they are on common side.

Both the angles are on a straight line, hence

Subtracting 109 from both sides

Both angles shown in diagram are opposite to each other, hence vertical angles.

As they are opposite to each other, they both are equal.

Subtracting x from both sides

Subtracting 1 from both sides

Both angles are having a common side means they are adjacent angles.

As they are on straight line, both angles will add up to 180 °.

Subtracting 96 from both sides

Dividing from 6 in both sides

Hope it will help :)

Answer:

207.68 m

Step-by-step explanation:

From the diagram,

ΔDEC is similar to ΔFGC

Therefore,

(DE)/(FG) = (DC)/(FC).............. Equation 1

make line DE the subject of the equation

DE = [(DC)(FG)/(FC)]................ Equation 2

From the diagram,

Given: DC = 190 m, FG = 142.1 m, FC = 130 m

Substitute these values into equation 2

DE = (190×142.1/130)

DE = 207.68 m

Hence the distance across the lake is 207.68 m

Applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m

Recall:

Thus:

ΔCDE  and ΔCFG are similar to each other

FG = 142.1 m

FC = 130 m

DF = 60 m

DC = 130 + 60 = 190 m

Therefore:

DE/FG = DC/FC

DE/142.1 = 190/130

[tex]DE = \frac{190 \times 142.1}{130} \\\\\mathbf{DE = 207.68 $ m}[/tex] (nearest hundredth).

Therefore, applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m

Learn more about similar triangles here: https://brainly.com/question/11899908

Answer:

60x24

Step-by-step explanation:

60x24=1224

Answer:

Step-by-step explanation:

If the table and ground are to be parallel then,

45° + x = 180° [Co-interior angles]

=> x = 180 - 45

=> x = 135° (Ans) (Option A)

Answer:  [tex]\frac{n-m}{n}[/tex]

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

[tex]1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\[/tex]

and now the expression is one single fraction.

Answer:

78.5÷3.14=25

56.272×41.2=2318.4064

429×338×712=103241424

447÷513=0.8713450292

Step-by-step explanation:

hope it will help!

Answer:

Step-by-step explanation:

Let one angle = A

Let the other angle = B

A + B = 180

A = B - 16.4                   Substitute for A in the top equation

B - 16.4 + B = 180         Combine the left

2B - 16.4 = 180             Add 16.4 to both sides

2B = 180 + 16.4

2B = 196.4                    Divide by 2

B = 196.4/2

B = 98.2

A = B - 16.4

A = 98.2 - 16.4

A = 81.8

Answer:

it is not a deficiency, a measurement of above 60 inches is required for mon tempered glass, and given that the measurement is 63 inches, it is within the acceptable limits

Step-by-step explanation:

Tempered glass are tough glasses that are strong and do not normally break easily, tempered glass is required where the bottom edge is less than 5 feet or 60 inches above the bath the hath tub, so as to reduce the chance of the window being broken by the elbow while showering, and glasses lower than 60 inches are considered as being at risk of breaking, and should be made of tempered glass

Given that the measurement is 63 inches, the glass is not at risk and the 63 inches measurement for the given non tempered glass is not a deficiency

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

Answer:

20 cm²

Step-by-step explanation:

Area of the square = 2cm * 2cm = 4 cm²

Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²

Total Area = 4 cm² + 16 cm² = 20 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

tara specimen!

Step-by-step explanation:

1+2=3 ok

Answer:

Step-by-step explanation:

Solve using ratios:

Find x:

Answer:

76°,60°

Step-by-step explanation:

sum of angles of a triangle=180

x+64+x+80+44=180

2x+188=180

2x=180-188=-8

x=-8/2=-4

so angles are -4+60=60°

and -4+80=76°

Answer:

x=46

Step-by-step explanation:

Isosceles triangle which means that the bottom two angles are equal. 180 degrees  minus 88=92. Since there are two angles you divide 92/2 which gets 46.

Answer:

D

Step-by-step explanation:

two sides are equal.

so opposite angles are also equal.

x+x+88=180

2x=180-88=92

x=92/2=46°