two polygons are similar. What is the correct similarity statement?
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Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

Given that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:

Therefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

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Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:

[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]

Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

[tex]3x=2ax\\4=a^2+b[/tex]

So, using the first equation and solving for a, we get:

[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]

Finally, replacing the value of a in the second equation and solving for b, we get:

[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]

Answer:

I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a

Answer:

2x=y

Step-by-step explanation:

Done

m<JKL=45°

Please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:45°

Step-by-step explanation:

Answer:

From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.

The equation of the new graph is f(x) = (x + 3)² - 5

Step-by-step explanation:

Answer:

Obi's age is 18 and Oba's age is 9

Step-by-step explanation:

Let Obi's age be x and Oba's age be y

Condition 1:

x = 2y -----------(1)

Condition 2:

(x-4) = 3(y-4)

=> x -4 = 3y-12

=> x - 3y = -9  -----(2)

Putting eq (1) in (2)

2y - 3y = -9

=> -y = -9

=> y = 9

Now,

x = 2y

=> x = 2(9)

=>  x= 18

Answer:

[tex]8\\4[/tex]

Step-by-step explanation:

Obi's age is [tex]x[/tex].

Oba's age is [tex]2x[/tex].

4 years ago, Obi's age was [tex]x-4[/tex].

4 years after, Obi's age is [tex]2x-4[/tex]

3 times more than Oba's, so [tex]3(x-4)[/tex]

[tex]2x - 4 = 3( x - 4)[/tex]

[tex]2x - 4 = 3x-12[/tex]

[tex]2x - 3x = -12+4[/tex]

[tex]-1x=-8[/tex]

[tex]x=8[/tex]

[tex]x-4\\(8)-4=4[/tex]

Answer:

140

Step-by-step explanation:

Sum of angles around a point = 360

So, if one angle 8 reflex and measures 220, it’s adjacent side measures.

360-220 = 140.

Hope this helps.

Good Luck

Answer:

£160.

Step-by-step explanation:

Mario receives 3 / (4+3+9) = 3/16 of the money.

So by proportion the total amount of money

=  96 * 16/3 = £512

So Rachel receives  4/16 = 1/4

= 512 / 4

= £128.

- and Sanjit receives 9/16

= 512 * 9/16

= £288

The difference is 288 - 128 = £160.

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

Step-by-step explanation:

Pattern 6 will have 35

[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

Answer:

D

Step-by-step explanation:

D is the only answer with the correct distance formula format and the correct numbers inside the parentheses

Answer:

70 degrees

Step-by-step explanation:

Answer:

70 that my answer and so they can reach

Answer:

[tex]3t^9[/tex]

Step-by-step explanation:

Image attached below.

Answer:

27 smoothies

Step-by-step explanation:

if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)

Answer:

[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]

Step-by-step explanation:

Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]

To examine its end behavior, we create a table of values that we can then examine.

[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]

From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.

Therefore, as:

[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]

Answer:

$9.30

Step-by-step explanation:

If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)

Answer: 8 times

Step-by-step explanation:

Youre essentially doing 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.

[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]

There are eight (8) 3/8’s are in 3

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Answer:

Step-by-step explanation:

You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.

I hope I've helped you.

Answer:

the answer is 6 just check it

Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

Learn more about linear equations;

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Answer:

54

Step-by-step explanation:

since n = 3

= -2n ( 5n+n-8-3n)

= -2 (3) ( 5+(3)-8-3(3) )

= -6 (5+3-8-9)

= -6 (5-5-9)

= -6 (-9)

= 54.

Answer:

X = 2

Step-by-step explanation:

Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.

Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]

By substituting the measures of the sides in the expression,

[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]

15(x + 10) = 180

x + 10 = 12

x = 12 - 10

x = 2

Therefore, for the given similar triangles value of x = 2

Answer:

Actually the correct answer is the last option.

Step-by-step explanation:

I just took the quiz on edge

The function given in the option (4) has the steepest slope.

For option (1)

Let's calculate the slope for given values of x and y in option (1)

First, let's consider the points (3,10) and (6,13):

[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]

[tex]x_2-x_1=6-3=3[/tex]

and [tex]y_2-y_1= 13-10 =3[/tex]

Now, the formula for slope is:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

So, for these points,

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Next, for points (6,13) and (9,16):

[tex]x_2-x_1=9-6=3[/tex]

and [tex]y_2-y_1=16-13 =3[/tex]

then, slope is:

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Similarly, for points (9,16) and (12,19):

Slope is 1.

Hence, for the data given in option (1), slope is 1.

Now for option(2);

From the given graph, we can see the co-ordinates are (1,0) and (0,-2)

[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]

[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]

Thus, the slope is:

[tex]m = \dfrac{-2}{-1}[/tex]

[tex]m=2[/tex]

Now for option (3):

From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)

[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]

[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]

Thus, the slope is

[tex]m = \dfrac{1}{0.5}[/tex]

[tex]m =2[/tex]

Now, for option (4):

First, let's consider the points (2, -4) and (4, -12)

[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]

slope is:

[tex]m = \dfrac{-8}{2}[/tex]

m =-4

Now, for points  (4, -12) and (6, -20):

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]

Then, the slope is:

[tex]m= \dfrac{-8}{2}[/tex]

m = -4

Similarly, for points (6, -20) and (8, -28):

Slope is -4.

That means for the data given in  option (4)  slope is -4.

Hence, the slope for the option (4) is steepest.

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Answer:

The answer is 2.

Step-by-step explanation:

3 - 2 = 1

7 - 5 = 2

2 x 1 = 2

Answer: C. 0.8 ft x 1 ft

Step-by-step explanation:

The scale factor of 1/5 means you multiply

the dimensions by 1/5

4 * 1/5 = 0.8

5 * 1/5 = 1

Answer:

C. 0.8 ft x 1 ft

Step-by-step explanation:

Answer:

He needs 0.275 cups of orange juice to reach his estimates

Step-by-step explanation:

Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.

4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.

Adding them together we will know the amount he got. Therefore,

4/17 + 3/10 + 9/20 + 3/11 + 7/15

(40 + 51)/170  + 9/20 + 3/11 + 7/15

91/170 + 9/20 + (45 + 77)/165

(1820 + 1530)/3400 + 122/165

3350/3400 + 122/165

0.98529411764 + 0.73939393939

1.72468805703

Patel got approximately 1.725 cups of orange juice . He will  require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.

1/2 cup of orange juice

Answer:

2.75

Step-by-step explanation:

3/4 is .75 in decimal