Given: AB=BC,AM=MC BM ⊥AC , EF⊥BC Prove: EC/AB = FC/MA

Answer:

A

Step-by-step explanation:

A is corrects since -13 is in the the domain of g(x) and 20 is in the range of g(x):

B is also false since 4 is in the domain of g(x)) and -11 isn't in the range of g(x)

C is also false since it's mentioned that g(0) = -2  

D is false since 7 isn't in the domain of g(x)

Step-by-step explanation:

Hi there!!!

The answer is option A.

reason look in picture.

if you want to solve it just cross multiply it,

[tex]60x = 240000 \times 100[/tex]

or,

[tex]x = 24000000 \div 60[/tex]

and the answer would be 400000.

Hope it helps...

Answer:

0.10512

Step-by-step explanation:

Given the following :

Mean number of calls(μ) in 2 hours = 14

2 hours = 60 * 2 = 120 minutes

Average number of calls in 45 minutes :

= (45 / 120) * 14

= 0.375 * 14

= 5.25

Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)

Using the poisson probability formula:

P(x, μ) = [(e^-μ) * (μ^x)] / x!

Where :

e = euler's constant

μ = 5.25

x = 0, 1, 2

Using the online poisson probability calculator :

P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)

P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512

Answer:

(H1, T1)

Step-by-step explanation:

Since we know that the only number option is 1, we can cancel out the first 3 options. and obviously, there are only heads, and tails. So, using only the # 1 and heads and tails, we can conclude that the answer is (H1, T1).

Answer:

D. (H1, T1)

Step-by-step explanation:

Since all outcomes require card #1 is chosen, so any answer with 2 or 3 can be rejected, therefore the answer is

D. (H1, T1)

Answer:

The lateral surface is 120  [tex]in^2[/tex], which agrees with the third answer option of the list.

Step-by-step explanation:

Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.

Then the lateral area of the prism is:

Lateral area= 5 (6" x 4") = 5 (24) =  120 [tex]in^2[/tex]

Answer:

10 termites will destroy 0.000084kg of wood per week

Step-by-step explanation:

Convert milligram to kilogram

1.2mg=(1.2 / 1,000,000)kg

1.2mg=0.0000012kg

1 termite destroys=0.0000012kg per day

10 termites will destroy (per day) =0.0000012×10 termites per day

10 termites in one day will destroy=0.000012kg

There are 7 days in a week

Therefore,

10 termites will destroy=destruction per day × 7 days

=0.000012×7

=0.000084kg per week

Answer: a- steve

Step-by-step explanation:

Answer:

B Emma is correct

Step-by-step explanation:

Answer:

Not enough information. (15% Men at family reunion)

Step-by-step explanation:

The question ask what percentage of men with respect to the total number of parents, who attended the family reunion; however, there is no information given on which subset of these people are parents. Therefore we cannot determine the percentage of men with respect to the total number of parents.

If we assume that all attendees of the family reunion are parents, the we can simply write:

3/20 == .15 == 15%

So there are 15% men at the family reunion. Likewise for the women we can say:

17/20 == .85 == 85%

So there are 85% women at the family reunion.

Cheers.

Answer:

[tex]\boxed{15\ \%}[/tex]

Step-by-step explanation:

Total Parents = 17+3 = 20

Men among Parents = 3

%age of men:

=> [tex]\frac{3}{20} * 100[/tex]%

=> 3 * 5 %

=> 15 %

Answer:

Option (3). [tex]m(\widehat{ACB})=220[/tex]

Step-by-step explanation:

Option (1).

Since measure of an inscribed angle = [tex]\frac{1}{2}(\text{measure of the intercepted arc})[/tex]

m∠ABC = [tex]\frac{1}{2}m(\widehat{AC})[/tex]

[tex]m(\widehat{AC})[/tex] = 2(m∠ABC)

           = 2(30°)

           = 60°

Therefore, this option is not true.

Option (2),

Since, [tex]m(\widehat{AB})+m(\widehat{BC})+m(\widehat{AC})=360[/tex]

[tex]m(\widehat{AB})+160+60=360[/tex]

m(arc AB) = 360 - 220

                = 140°

Therefore, this option is not correct.

Option (3),

[tex]m(\widehat{ACB})=m(\widehat{AC})+m(\widehat{BC})[/tex]

               = 60° + 160°

               = 220°

Option (3) is the correct option.

Option (4),

[tex]m(\widehat{CBA})= 360-m(\widehat{AC})[/tex]

               = 360° - 60°

               = 300°

Therefore, this option is not correct.

Answer:

56%

Step-by-step explanation:

90 ÷ 160

= 0.56

0.56 × 100

= 56%

Answer:

56%

Step-by-step explanation:

Your question is asking for students who are taking only math. Of 160 students, 90 are taking only math. This gives you the proportion of [tex]\frac{90}{160}[/tex] = 0.56. To find percents, just multiply it by 100 to get 56%.

Answer:

5 meters : 1 gallon

fuel efficiency of Car is 7 meters per gallons

Step-by-step explanation:

Given Tanya car goes 45 meters on 7 gallons.

In terms of ratio  of distance traveled and fuel consumed

45 meters : 7 gallons

since both 45 and 7 are multiple of 7 dividing both side by 7

45/7 meters : 7/7 gallons

5 meters : 1 gallon

Thus, fuel efficiency of Car is 7 meters per gallons.

Answer:

a) 4

Step-by-step explanation:

y = 3x

Plug it in: x - 2 (3x) = 10 --> x - 6x = 10 --> -5x = 10 --> x =  -2

Therefore: y = 3(-2) --> y = -6

x - y = -2 - (-6) = 4

Answer:

The number ways to choose between meat and vegetarian sandwiches can be computed using computation technique.

Step-by-step explanation:

There are two types of sandwiches available at the deli counter. The possibility of combinations can be found by computation technique of statistic. It is assumed that order does not matter and sandwiches will be selected at random. The sandwiches can be arranged in any order and number ways can be found by 2Cn.

Answer:

x = 0.53 cm

Maximum volume = 1.75 cm³

Step-by-step explanation:

Refer to the attached diagram:

The volume of the box is given by

[tex]V = Length \times Width \times Height \\\\[/tex]

Let x denote the length of the sides of the square as shown in the diagram.

The width of the shaded region is given by

[tex]Width = 3 - 2x \\\\[/tex]

The length of the shaded region is given by

[tex]Length = \frac{1}{2} (5 - 3x) \\\\[/tex]

So, the volume of the box becomes,

[tex]V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\[/tex]

In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

[tex]\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\[/tex]

We are left with a quadratic equation.

We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Where

[tex]a = 18 \\\\b = -38 \\\\c = 15 \\\\[/tex]

[tex]x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\[/tex]

Volume of the box at x= 1.59:

[tex]V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\[/tex]

Volume of the box at x= 0.53:

[tex]V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3[/tex]

The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

Answer:

CI =(0.333, 0.480)

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as shown;

CI = p±Z * √p(1-p)/n±0.5/n

Z is the z-score at 90% confidence

p is the sample proportion

n is the sample size

Given n = 144, p = 0.4 and z-score at 90%  CI = 1.645 (from z table)

Substituting this values;

CI = p ± 1.645*√0.4(1-0.4)/144 ±0.5/n

CI = 0.4 ± 1.645*√0.4(0.6)/144 ± 0.5/144

CI = 0.4 ±1.645 * √0.24/144 ± 0.00347

CI = 0.4 ±1.645 * 0.04087± 0.00347

CI = 0.4±0.06723±0.00347

CI =(0.333, 0.480)

Answer:

j < 2

Step-by-step explanation:

Simplify both sides of the inequality and isolating the variable would get you the answer

Answer:

slope is undefined

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis.

The slope of a vertical line is undefined

Answer:

Undefined

Step-by-step explanation:

If the line is strait up like x = 4 that means it is undefined.

Answer

187.5 ml/hr

Step-by-step explanation:

1500ml/8hrs=187.5ml/hr

Answer:

a. the ratio is 1:2

b. its equivalent to the fraction 1/2

c. there would be 10 triangles

d. therw would be 45 triangles since the number of parallelograms is double the number of triangles

Answer:

See explanation.

Step-by-step explanation:

a) Simply divide the number of triangles by the number of paralellograms.

3/6

b) 3/6 is equal to 1/2.

1/2

c) Multiply 2 by 10 to get 20. Now, you also have to multiply 1 by 10.

10/20

d) There are three shapes for every instance of the ratio. Divide 90 by 3.

30

Hope this helped!

Answer: 0.0899.

Step-by-step explanation:

Given: CNNBC recently reported that the mean annual cost of auto insurance is 1048 dollars, the standard deviation is 282 dollars.

Sample size : n= 55

Let [tex]\overline{X}[/tex] be the sample mean.

The probability that a sample of size n =55 is randomly selected with a mean less than 997 dollars:

[tex]P(\overline{X}<997)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{997-1048}{\dfrac{282}{\sqrt{55}}})[/tex]

[tex]=P(Z<-1.3412)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z<1.3412)\\\\=1-0.9101\ \ \ \ [\text{By z-table}]\\\\ =0.0899[/tex]

Hence, the required probability = 0.0899 .

Answer:

D. Place the point of the compass on the midpoint of AB and mark

the points directly above and below the midpoint.

Step-by-step explanation:

Below are the simple steps to follow to draw a perpendicular bisector of line AB.

First step

Set the compass at the end of one line segment and move the compass so that it would be slightly longer than half of the line AB.

Second step

Set the compass at point A and make some arcs just above line AB.

Third step

Draw an arc from point B with the same compass width.

Fourth step

Carefully set a ruler at the intersection of the arcs and draw the line segment.

Answer:place the point of the compass on point a and draw an arc across ab.

Step-by-step explanation:

Answer:

[tex]270^o[/tex]  and   [tex]450^o[/tex]

Step-by-step explanation:

Recall that [tex]\frac{\sqrt{2} }{2}[/tex] is a value of the function cosine for the special angles: [tex]135^o[/tex] and  [tex]225^o[/tex], then:

[tex]\frac{x}{2} =135^o\\x=270^o\\or\\ \frac{x}{2} =225^o\\x=450^o\\[/tex]

Answer:

Below

Step-by-step explanation:

● |y+2| > 6

● y+2 > 6 or y+2 < -6

Add -2 in both sides in the two inequality.

● y+2-2 > 6-2 or y+2-2 < -6-2

● y > 4 or y< -8

Answer: A. [tex]x\geq21\dfrac{2}{3}[/tex] .

Step-by-step explanation:

The given inequation: [tex]81-1\dfrac{1}{5}x\leq55[/tex]

[tex]\Rightarrow\ 81-\dfrac{6}{5}x\leq55[/tex]

Multiplying 5 on both the sides, we get

[tex]5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}[/tex]

Hence, the inequality for x is [tex]x\geq21\dfrac{2}{3}[/tex] .

So, the correct option is A. [tex]x\geq21\dfrac{2}{3}[/tex] ..

Answer:

The probability that only one candidate is hired is 0.10.

Step-by-step explanation:

The probability of event E occurring is the ration of the favorable number of outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

It is provided that N = 10  candidates are presented in a random order.

Compute the probability that only one candidate is hired as follows:

[tex]P(\text{Only 1 Hire})=\frac{1}{10}=0.10[/tex]

Thus, the probability that only one candidate is hired is 0.10.

Answer:

The percentage of college seniors with "Other" majors is 32%.

Step-by-step explanation:

The total number of college seniors surveyed is, N = 400.

The number of college seniors with "Other" majors is, n = 128.

The percentage of a value of x from N total is given as follows:

[tex]\text{Percentage of}\ x=\frac{x}{N}\times 100\%[/tex]

Compute the percentage of college seniors with "Other" majors as follows:

[tex]\text{Others}\%=\frac{n}{N}\times 100\%[/tex]

              [tex]=\frac{128}{400}\times 100\%\\\\=32\%[/tex]

Thus, the percentage of college seniors with "Other" majors is 32%.

Answer:

c.) No, because Cp < 1

Step-by-step explanation:

Let us assume that there is centered in the process

and, the width is 2 times the specification

So, the width is

[tex]= 2 \times 0.07[/tex]

= 0.14

Now capability index = Cp is

[tex]= \frac{specification\ width}{6 \times standard\ deviation}\\\\= \frac{0.14}{6\times 0.04}[/tex]

= 0.58333

And the capability index should be minimum 1 for the process

And as we can see that Cp is 0.58333 which is less than 1 so the machine is not able to perform the job

Hene, the correct option is c.

Answer:

D. 100

Step-by-step explanation:

percents are always out of 100 because that is the maximum. if you are 100% done with your homework, you are completely finished.

Answer:

The square root of one million is 1000 because 1000 x 1000 = 1,000,000