Line parallel to the y-axis that passes through the point (77,88)

Answer:

Which expression is equivalent to 3 over 175

I would say try - C or D

Answer:

D: 8 and 2 and then 8 and 6.

Step-by-step explanation:

Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.

Correct question is ;

Given the equation of the parabola x² = -36y

The focus of the parabola is:

Answer:

Option C - Focus = (0,-9)

Step-by-step explanation:

The equation of the parabola is:

x² = -36y

Thus, y = - x²/36

Using the vertex form,

y = a(x − h)² + k, to determine the values of a, h, and k.

We will have;

y = (-1/36)(x − 0)² + 0

Thus,

a = - 1/36

h = 0

k = 0

The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.

p = 1/4a

So, p = 1/(4*(-1/36))

p = - 1/(1/9)

p = -9

Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

Focus is (h, k+p)

Plugging in the relevant values, we have;

Focus = (0, (0 + (-9))

Focus = (0,-9)

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

Answer:

16 pigs and 27 ducks

Step-by-step explanation:

Let the number of pig be x

And let the number of ducks be y

X+y = 43.... equation 1

each duck has exactly two legs and each pig has exactly four leg.

Total leg is 118

4x + 2y = 118 ..... equation 2

X+y = 43

4x + 2y = 118

4(X+y = 43)

4x +4y = 172

4x + 2y = 118 - 4x +4y = 172

-2y = -54

Y = 27

If y = 27

X+y = 43

X = 43-27

X= 16

Answer:

draw a line from R to S

Step-by-step explanation:

just a simple line connecting the two, leave out Q and T.

Answer:

connect point R and point S with a straight line

Step-by-step explanation:

It's like connect the dots.... but with letters instead of numbers.

I count n=12 observations, sorted they're

0 0 0 1  1 2 2 3  3 4 5 10

The median is the middle value, or the average of the two middle ones when we have an even number.  That's (2+2)/2=2

Median: 2

The mode is the most common observation.  Three friends had no pets.

Mode: 0

The range is maximum minus minimum, so 10 - 0 = 10

Range: 10

Answer:

8 hours

Step-by-step explanation:

7x8=56-4=52 :)

The following answers are obtained from HW, which it shows answers to.

Answer:

A. The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Trunk 1 and 3

(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

True, Cannot be determined

d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?

False, Cannot be determined

Answer: C

Step-by-step explanation:

-5^7 ➗ -5^2

(-5)^(7-2)

-5^5

Is there anything else that goes with the question or is that it?

Answer:

The mean is 15

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of numbers

(23+13+17+11+11)/ 5

75 /5

15

Answer:

D

Step-by-step explanation:

since sam invest the least, let a be the amount invested by sam

sam = a

paul = a + 5000

bob = a + 5000 + 4000

3a + 14000 = 50000

3a = 36000

a = 12000

thus sam is 12000, paul is 17000 and Bob is 21000

therefore the ratio of B:P:S is 21:17:12

profit by paula is 17/50 x 70000 = 23800

The profit by Paula is 17/50 x 70000 = 23800.

We have given that Bob, Paula and Sam invest $50000 in a business. Bob invests $4000 more than Paul does and Paul invests $5000 more than Sam does. If the total profit was $70000

Since sam invest the least, let a be the amount invested by sam

Therefore we get,

sam = a

The investment of Paul = a + 5000

Bob = a + 5000 + 4000

3a + 14000 = 50000

3a = 36000

divide both sides by 3 so we get,

a=36000/3

a = 12000

Therefore, sam is 12000,

paul =5000+12000=17000 and

Bob =12000+9000= 21000

Therefore the ratio of B:P:S is 21:17:12

The profit by Paula is 17/50 x 70000 = 23800.

To learn more about the investement visit:

https://brainly.com/question/25300925

Answer:

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.

Step-by-step explanation:

We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.

Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.

Let X = back-to-college family spending on electronics

SO, X ~ Normal([tex]\mu=237,\sigma^{2} =54^{2}[/tex])

The z score probability distribution for normal distribution is given by;

                                 Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean family spending = $237

           [tex]\sigma[/tex] = standard deviation = $54

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)

        P(X < $150) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{150-237}{54}[/tex] ) = P(Z < -1.61) = 1 - P(Z [tex]\leq[/tex] 1.61)

                                                             = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)

        P(X > $390) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{390-237}{54}[/tex] ) = P(Z > 2.83) = 1 - P(Z [tex]\leq[/tex] 2.83)

                                                             = 1 - 0.9977 = 0.0023

The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)

     P($120 < X < $175) = P(X < $175) - P(X [tex]\leq[/tex] $120)

     P(X < $175) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{175-237}{54}[/tex] ) = P(Z < -1.15) = 1 - P(Z [tex]\leq[/tex] 1.15)

                                                         = 1 - 0.8749 = 0.1251

     P(X < $120) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{120-237}{54}[/tex] ) = P(Z < -2.17) = 1 - P(Z [tex]\leq[/tex] 2.17)

                                                         = 1 - 0.9850 = 0.015

The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.

Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile [tex](Q_1)[/tex]

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile [tex](Q_3)[/tex]

Terms in arranged in ascending order:

[tex]57,60,60,61,62,62,63,63,64[/tex]

Number of terms = 9

As number of terms is odd, exclude the middle term that is 62.

[tex]Q_1[/tex] is median of terms [tex]57,60,60,61[/tex]

Number of terms (n) = 4

Median = [tex]\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60[/tex]

So, [tex]Q_1=60[/tex]

So, 25% of the heights of a team is less than 60 inches

[tex]Q_3[/tex] is the median of terms [tex]62,63,63,64[/tex]

Median = [tex]\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63[/tex]

So, [tex]Q_3=63[/tex]

So, 75% of the heights of a team is less than 63 inches

Interquartile range = [tex]Q_3-Q_1=63-60=3[/tex]

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

Answer:

The answer would be a square

Step-by-step explanation:

Since when you slice a cube parallel to one of its faces, one way or the other you will see a square since a cube is mostly just a 3 dimensional square.

hope this helps you

Answer:

The absurdity of Harrison's exaggerated handicaps ridicules society's obsession with equality.Step-by-step explanation:

Answer:

Step-by-step explanation:

In the year 2081, the 211th, 212th, and 213th amendments to the Constitution dictate that all Americans are fully equal and not allowed to be smarter, better-looking, or more physically able than anyone else. The Handicapper General's agents enforce the equality laws, forcing citizens to wear "handicaps": masks for those who are too beautiful, loud radios that disrupt thoughts inside the ears of intelligent people, and heavy weights for the strong or athletic.

One April, 14-year-old Harrison Bergeron, an intelligent, athletic, and good-looking teenager, is taken away from his parents, George and Hazel Bergeron, by the government. They are barely aware of the tragedy, as Hazel has "average" intelligence (a euphemism for stupidity), and George has a handicap radio installed by the government to regulate his above-average intelligence.

Hazel and George watch ballet on television.They comment on the dancers, who are weighed down to counteract their gracefulness and masked to hide their attractiveness. George's thoughts are continually interrupted by the different noises emitted by his handicap radio, which piques Hazel's curiosity and imagination regarding handicaps. Noticing his exhaustion, Hazel urges George to lie down and rest his "handicap bag", 47 pounds (21 kg) of weights locked around George's neck. She suggests taking a few of the weights out of the bag, but George resists, aware of the illegality of such an action.

On television, a news reporter struggles to read the bulletin and hands it to the ballerina wearing the most grotesque mask and heaviest weights. She begins reading in her unacceptably natural, beautiful voice, then apologizes before switching to a more unpleasant voice. Harrison's escape from prison is announced, and a full-body photograph of Harrison is shown, indicating that he is seven feet (2.1 m) tall and burdened by three hundred pounds (140 kg) of handicaps.

George recognizes his son for a moment, before having the thought eliminated by his radio. Harrison himself then storms the television studio in an attempt to overthrow the government. He calls himself the Emperor and rips off all of his handicaps, along with the handicaps of a ballerina, whom he proclaims his "Empress". He orders the musicians to play, promising them nobility if they do their best. Unhappy with their initial attempt, Harrison takes control for a short while, and the music improves. After listening and being moved by the music, Harrison and his Empress dance while flying to the ceiling, then pause in mid-air to kiss.

Diana Moon Glampers, the Handicapper General, enters the studio and kills Harrison and the Empress with a ten-gauge double-barreled shotgun. She forces the musicians to put on their handicaps, and the television goes dark. George, unaware of the televised incident, returns from the kitchen and asks Hazel why she was crying, to which she replies that something sad happened on television that she cannot remember. He comforts her and they return to their average lives.

Answer: x > 3

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -5x by subtracting 20 from both sides. That leaves you with -5x < -15.

To get x by itself, divide both sides by -5, but watch out.

If you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So we have x > 3.

I have also graphed the inequality for you below.

Start with an open dot at 3. The reason for that is because x > 3 but x is not equal to 3 so we use an open dot.

Now, draw an arrow to the right to

represent all numbers greater than 3.

Answer:

Substitute the coordinate of point into line equation, we have:

2 x (-4) - 6 = -14

=> The point lies on the line

Hope this helps!

:)

Answer:

c ≥ 10 dozen

Step-by-step explanation:

Victor wants to have at least 10 dozen cookies for the bake sale.

In layman terms it can be understood as that Victor wants either  10 dozen cookies or more than that such as 11, 12, 13, 50 , 100 whatever number is greater than 10.

Let the no. of dozen of cookies wanted by him is c

according to condition

if victor wants  either 10 dozen cookies

it can be represented mathematically as

c = 10 dozen  (1)

_____________________________________

If victor wants no. of dozens of cookies greater than 10 .

it can be written as

c >10  dozen (2) (">" is symbol for greater than . expression simply means value of x should be greater than 10)

______________________________________________

now combining  equation one and two, we have

c ≥ 10 dozen . It can means that x can take value starting from 10 to any no greater than..

Answer:20

Step-by-step explanation:

Since it is a right angled triangle we can use Pythagoras principle to get the missing length

Let the missing length be h

h=√(16^2+12^2)

h=√(16x16+12x12)

h=√(256+144)

h=√(400)

h=20

Answer:

Step-by-step explanation:

15 + 20 / 35

35/35 = 1 (certain)

The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.

I'm always happy to help :)

Answer:

1.

Step-by-step explanation:

Prob ( Choosing a female) =  20/35

Prob ( Choosing a senior)  = (15)/ 35 =  15/35

Requires probability = 20/35 + 15/35

= 35/35

= 1.

Answer:

C . The graph of the polynomial has zeros at (-7,0) and (2,0)

Step-by-step explanation:

f(x) = (x + 7)(x - 2)

Zero's obtained:

Coordinates:

Correct answer choice is:

C . The graph of the polynomial has zeros at (-7,0) and (2,0)

Answer:

50 pictures.

Step-by-step explanation:

It's lit just 35+15=50 pictures

Answer:50

Step-by-step explanation:

Meg took 35 pictures

Kim took 15 pictures

Total pictures =35+15

Total pictures =50

Answer:

the number is 20

Step-by-step explanation:

6% of x = 20% of 6

0.06x=0.20*6

0.06x=1.20

x=1.20/0.06

x=20

By solving the percentage if 6% of it is 20% of 6 then the number would be equal to 20.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part into 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b percent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Let the number be x

6% of x = 20% of 6

[tex]0.06x=0.20\times6\\0.06x=1.20\\x=1.20/0.06\\x=20[/tex]

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

Answer: The family uses 3 Gb in the entire month.

Step-by-step explanation:

A month has 30 days.

If in 10 days the family uses 1Gb, then in each day the family uses:

R = 1Gb/10 days = 0.1 Gb per day.

Then in 30 days the family uses:

30days*0.1 Gb er day = 3 Gb

The family uses 3 Gb in the entire month.

Answer:

[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]  

Now we can find the p value with the alternative hypothesis and using this probability:

[tex]p_v =P(z<-1.007)=0.157[/tex]  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

Step-by-step explanation:

Information given

n=631 represent the random sample selected

X=284 represent the people who said that they thought unemployment would increase

[tex]\hat p=\frac{284}{631}=0.45[/tex] estimated proportion of people who said that they thought unemployment would increase

[tex]p_o=0.47[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v{/tex} represent the p value

System of hypothesis

We want to verify if the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997 (0.47), then the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.47[/tex]  

Alternative hypothesis:[tex]p < 0.47[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]  

Now we can find the p value with the alternative hypothesis and using this probability:

[tex]p_v =P(z<-1.007)=0.157[/tex]  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

Answer:

  see the attachments

Step-by-step explanation:

An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)

__

a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.

__

b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.

Step-by-step explanation:

formular of area circle = pi*

[tex] {? \\ radius}^{2} [/tex]

=> radius =

[tex] \sqrt{area \div pi } [/tex]

diameter = 2* radius.hope this help

Answer:x=8 or x=-2

Step-by-step explanation:

log4(x-6) + log4(x)=2

log4(x(x-6))=2

4^2=x(x-6)

4x4=x(x-6)

16=x^2-6x

Arrange the quadratic equation

x^2-6x-16=0

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

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

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

x-8=0. x+2=0

x=8. x=-2