polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the origin as the center of dilation: ​

Answer: 7000

Step-by-step explanation:

Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2

. If the total amount invested is $20,000 then:

P1+P2=20,000. (Eq. 1)

The interest earned in one year from the 8% account is:

I1=0.08P1

and the interest earned in one year from the 6% account is:

I2=0.06P2

If the total interest earned is $1460, then:

I1+I2=1460

0.08P1+0.06P2=1460

(Eq. 2) From Eq. 1 :

P1=20000−P2

Substituting this into Eq. 2:

0.08 (20000−P2) + 0.06P2 = 1460

1600 − 0.08P2 + 0.06P2 = 1460

0.02P2 = 140

P2 = 140 / 0.02

P2 = 7000

Hence, he invested $7000 at the rate of 6%.

Answer: D

Step-by-step explanation:

To express this number in scientific notation, we want to move the decimal so that it goes past the first nonzero integer. In this case, we would move it to the right 8 times.

6.7×10⁻⁸

The only reason why the 8 is negative is because when you write the scientific notation in standard form, you will need to move the decimal to the left in order to get 0.000000067. Negative means moving to the left. Therefore, 6.7×10⁻⁸ is our correct answer.

Answer:

12/40=0.3

0.3 car parts per minute

9 / 0.3 = 30 minutes

30 minutes for 9 parts

Hope this helps

Step-by-step explanation:

Jose required 30 minutes to assemble 9 parts.

Jose assemble 12 car parts in 40 minutes. Time consumed by jose to assemble 9 parts to be calculated.

In mathematics it deals with numbers of operations according to the statements.

Here,
40 minute = 12 parts
40/12 = 1 part

Time to assemble 9 parts: = 40/12 x 9
                                             = 10/3 x 9
                                             =  30

Thus, Jose required 30 minutes to assemble 9 parts.

Learn more about arithmetic here:

brainly.com/question/14753192

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Answer:

  $85

Step-by-step explanation:

Let y represent Timmy's money after x weeks. If we assume that the only money Timmy has is what is mentioned in the problem statement, then ...

  y = 50 +5x . . . . . $50 initially plus $5 for each week

After 7 weeks, x = 7, so Timmy's fortune will be ...

  y = 50 +5(7) = 50 +35

  y = 85

Timmy will have $85 in 7 weeks.

Answer:

A = 45 units^2

Step-by-step explanation:

This is a trapezoid

A = 1/2 (b1+b2) h

b1 is the top = 7

b2 is the bottom = 11

h = 5

A = 1/2 ( 7+11) *5

A = 1/2 ( 18)*5

A = 45 units^2

Answer:The answer is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Cos A = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Where Adjacent = 28, Hypotenuse = 197

Cos A = [tex]\frac{28}{197}[/tex]

Answer:

P(G) = 0.55

the probability of getting an offspring pea that is green. Is 0.55.

Is the result reasonably close to the value of three fourths that was​ expected?

No

Expected P(G)= three fourths = 3/4 = 0.75

Estimated P(G) = 0.55

Estimated P(G) is not reasonably close to 0.75

Step-by-step explanation:

Given;

Number of green peas offspring

G = 450

Number of yellow peas offspring

Y = 371

Total number of peas offspring

T = 450+371 = 821

the probability of getting an offspring pea that is green is;

P(G) = Number of green peas offspring/Total number of peas offspring

P(G) = G/T

Substituting the values;

P(G) = 450/821

P(G) = 0.548112058465

P(G) = 0.55

the probability of getting an offspring pea that is green. Is 0.55.

Is the result reasonably close to the value of three fourths that was​ expected?

No

Expected P(G)= three fourths = 3/4 = 0.75

Estimated P(G) = 0.55

Estimated P(G) is not reasonably close to 0.75

Answer:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Answer:

(a)f(4) square cm.

(b)f(10.91)-f(10.9) Square centimeter.

Step-by-step explanation:

f(r)=the area of a circle (in square cm) that has a radius of r cm.

(a)Area (in square cm) of a circle whose radius is 4 cm.

Since r=4cm

Area of the circle = f(4) square cm.

(b) When the radius of the increases from 10.9 to 10.91 cm.

Change in the Area = f(10.91)-f(10.9) Square centimeter.

Answer:

[tex]\boxed{\sf \ \ \ age = 16 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

as the mean age of 5 people is 40

it means that the sum of the 5 ages is 40*5=200

now a person enters the room, let's note x his age

the new mean is

[tex]\dfrac{200+x}{6}=36[/tex]

[tex]<=>200+x=6*36=216\\<=> x = 216-200=16\\[/tex]

So the age of the new person is 16

hope this helps

Answer:

9 canvases

Step-by-step explanation:

To find the number of canvases Rogelio can buy, we just need to divide the value of the gift card by the value of each canvas. Then, if the result is decimal, we round down, because if we round up we will not have enough money to buy them all.

So we have that:

Number of canvases = 100 / 10.99

Number of canvases = 9.099

Rounding down, we can buy 9 canvases

Answer:

[tex]n=3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]2n=1\times \left(3\sqrt{2}\right)\times \:2[/tex]

[tex]2n=2 \times 3\sqrt{2}[/tex]

[tex]2n=6\sqrt{2}[/tex]

[tex]\frac{2n}{2}=\frac{6\sqrt{2}}{2}[/tex]

[tex]n=3\sqrt{2}[/tex]

Answer:

n = 3√2

Step-by-step explanation:

=> [tex]1(3\sqrt{2} )2 = 2n\\6\sqrt{2} = 2n\\[/tex]

Dividing both sides by 2, we'll get

=> [tex]\frac{6\sqrt{2} }{2} = \frac{2n}{2}[/tex]

So,

=> n = [tex]3\sqrt{2}[/tex]

Answer: Option d.

Step-by-step explanation:

Ok, we have 3 urns.

Each urn can give a number between 0 and 9, so each urn has 10 options.

And as the urns are different, the outcome in the first urn does not affect the outcomes in the others, and the same happens for the outcome in the second urn, so the events are independent.

The total number of combinations is equal to the product of the number of options for each event (here each urn is one event)

then the number of combinations is:

C = 10*10*10 = 10^3 = 1000

Then the correct option is d.

Answer:

3^5

Step-by-step explanation:

becuase 3*3*3*3*3

Answer: 3^5 (3 to the power of 5)

Step-by-step explanation:

3 is multiplied by itself 5 times

To shorten the expression, exponential notation is used and it becomes 3^5, which essentially means three multiplied by itself 5 times

ex. 4^3 equals 4x4x4

Answer:

sorry about that that was my sister . the correct answer is yes

Step-by-step explanation:

please mark as brainliest

Answer:

Step-by-step explanation:

Adding the two together 1212 + (99 - 1)

1310

1212/1310 = 606/655

Decimal: 0.9252

I'm always happy to help :)

Answer:

I want to say 9 but im preety sure it's 6

Step-by-step explanation:

you have 54 times to pick it

you have 9 marbles,

54 divided by 9= 6

answer is 6

hope this helped:))))

have a grate dayy

Answer:

1

this is because I see only one marble present which is orange

Answer: There are systems with no solutions, and the graphs may show two regions with no intersections (as you know, the solution set is in the intersection of the sets of solutions for each inequality)

Step-by-step explanation:

Ok, suppose that our system is:

y > x

and

y < x.

This system obviously does not have any solution, because y can not be larger and smaller than x at the same time.

The graph of y > x is where we shade all the region above the line y = x (the line is not included)

and the graph of y < x is where we sade all the region under the line y = x (the line is not included)

So we will look at a graph where we never have a region with the two shades overlapping (so we do not have a intersection in the sets of solutions), meaning that we have no solutions.

Answer:

No.

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible. You could have 100°+100°+100°+60° quadrilateral or whatever. As long as it's inner angles add up to 360°, it is possible.

Answer:

[tex]\boxed{\mathrm{It \: is \: not \: an \: empty \: set}}[/tex]

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible.

A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.

Let’s say three angles are measuring 91 degrees in a quadrilateral.

91 + 91 + 91 + x = 360

x = 87

The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.

Answer:

a) 8.3 units of length

b) 31.6 units of length

Step-by-step explanation:

a) The distances traveled by each ball are given by:

[tex]d_1^2=100^2+10^2=10,100\\d_1=100.5\\\\d_2^2=90^2+(-20^2)=8,500\\d_2=92.2[/tex]

The diference between the distance traveled by both balls is:

[tex]d_1-d-2=100.5-92.2\\d_1-d_2=8.3[/tex]

The first ball traveled 8.3 units of length farther than the second ball.

b) The distance between both balls is:

[tex]d^2=(i_1-i_2)^2+(j_1-j_2)^2\\d^2=(100-90)^2+(10-(-20))^2\\d^2=1,000\\d=31.6[/tex]

The balls are 31.6 units of length apart.

Answer:

Minimum 08 adults / drivers

Maximum 10 adults / drivers

Step-by-step explanation:

Total students are 30

Each car can take total 5 incl. drive

There needs to be 7 cars taking the 30 students, which also means there have to be minimum 7 drivers / adults.

Min. passengers = 30 + 7

Of course, there will be space for 3 more in the 8th car since 5 x 8 = 40

Answer:

[tex]g(2) = 4(2) + 6 = 14[/tex]

[tex]f(2) = 2(2) + 3 = 7[/tex]

[tex](g - f)(2) = 14 - 7 = 7[/tex]

problem decoded dude

thank and follow meh

Answer:

see below

Step-by-step explanation:

x-5 > -2

Add 5 to each side

x-5+5 > -2+5

x > 3

open circle at 3 line going to the right

Answer:

x>3

Step-by-step explanation:

x-5>-2

x>3

Answer:

[tex]y = 5x-15[/tex]

Step-by-step explanation:

Parallel ⇒ So the slopes will definitely be equal

So,

Slope = m = 5

Now,

Point = (x,y) = (4,5)

So, x = 4, y = 5

Putting these in the slope intercept form to get b

[tex]y = mx +b \\[/tex]

5 = (5)(4) + b

5 = 20 + b

b = -20+5

b = -15

So, Putting m and b in the slope intercept form to get the required equation,

[tex]y = 5x-15[/tex]

Answer:

therefore the left work of worker will be 6/7 part of work

Answer:

The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex]

Step-by-step explanation:

The expression is:

[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]

Collect the like terms as follows:

[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]

[tex]=(-a^{2}b+5a^{2}b-a^{2}b-a^{2}b+5a^{2}b+5a^{2}b)+(6ab+6ab+6ab)-(6a-6a-6a)-b-8[/tex]

[tex]=12a^{2}b+18ab+18a-b-8[/tex]

Thus, the final expression is [tex]12a^{2}b+18ab+18a-b-8[/tex]

The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex].

Answer:

The CORRECT answer is B

Step-by-step explanation:

Answer:

a) 0.69

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

Step-by-step explanation:

Step(i):-

Given mean of the Population = 54.6 inches

Given standard deviation of the Population = 5.7 inches

Let 'X' be the random variable of normal distribution

Let 'X' = 51.75 inches

[tex]Z = \frac{x-mean}{S.D} = \frac{51.75-54.6}{5.7} = -0.5[/tex]

Step(ii):-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = P(Z>-0.5)

                  = 1 - P( Z < -0.5)

                 =   1 - (0.5 - A(-0.5))

                =    1 -0.5 + A(-0.5)

               =    0.5 + A(0.5)    (∵A(-0.5)= A(0.5)

              =     0.5 +0.1915

              =  0.6915

Conclusion:-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

The data cited is in the attachment.

Answer: 308.2±106.4

Step-by-step explanation: To construct a confidence interval, first calculate mean (μ) and standard deviation (s) for the sample:

μ = Σvalue/n

μ = 308.2

s = √∑(x - μ)²/n-1

s = 147.9

Calculate standard error of the mean:

[tex]s_{x} = \frac{s}{\sqrt{n} }[/tex]

[tex]s_{x}[/tex] = [tex]\frac{147.9}{\sqrt{12} }[/tex]

[tex]s_{x}[/tex] = 42.72

Find the degrees of freedom:

d.f. = n - 1

d.f. = 12 - 1

d.f. = 11

Find the significance level:

[tex]\frac{1-0.97}{2}[/tex] = 0.015

Since sample is smaller than 30, use t-test table and find t-score:

[tex]t_{11,0.015}[/tex] = 2.4907

E = t-score.[tex]s_{x}[/tex]

E = 2.4907.42.72

E = 106.4

The interval of confidence is: 308.2±106.4, which means that dental insurance plan varies from $201.8 to $414.6.

Answer:

11x + y = -28

Step-by-step explanation:

Step 1: Find slope

(6-5)/(-2--3) = -11

Step 2: Find y-intercept

y = -11x + b

5 = -11(-3) + b

5 = 33 + b

b = -28

Step 3: Write in slope-intercept form

y = -11x - 28

Step 4: Convert to standard form

11x + y = 28

And we have our final answer!

Answer:

9+1224+12=1245

Hope this helps

Answer:

Mathematically,

9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21