Michael completed a race that is 7 kilometers long. Which distance is closest to the number of miles Michael ran? ( 1.609 kilometers = 1 mile)

9514 1404 393

Answer:

  L'(3, -6)

Step-by-step explanation:

The reflection over the y-axis is modeled by the transformation ...

  (x, y) ⇒ (-x, y)

  L(-3, -6) ⇒ L'(3, -6)

Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.

Using angle sum property

[tex]\\ \sf\longmapsto x+43+73+70=180[/tex]

[tex]\\ \sf\longmapsto x+43+143=180[/tex]

[tex]\\ \sf\longmapsto x+186=180[/tex]

[tex]\\ \sf\longmapsto x=180-186[/tex]

[tex]\\ \sf\longmapsto x=-6[/tex]

Option C is correct

Sum of angles of any triangle is 180°

Option C

Answer:

x = 6

Step-by-step explanation:

pythagorean theorem

a^2 = c^2 - b^2

a^2 = 10^2 - 8^2

a^2 = 100 - 64

a^2 = 36

sqrt a^2 = sqrt 36

a = 6

CHECK:

6^2 + 8^2 = 10^2

36 + 64 = 100

yes.

Answer:

A

Step-by-step explanation:

may I have brainllest

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the 80*10=800

8 in 183= 80

8 in 4879 = 800

Answer:

The necessary sample size is of 5683.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.

This means that [tex]\pi = 0.3[/tex]

The estimate is to be within 1% of the population proportion. What is the necessary sample size?

A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]

[tex]n = 5682.6[/tex]

Rounding up:

The necessary sample size is of 5683.

Answer:

39

Step-by-step explanation:

a=A=1521=39

Answer:

8 is $230

Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230

Answer:

A. $0.89

Step-by-step explanation:

To find the constant of proportionality, find the cost of one pound of potatoes

3.56/4

= 0.89

So, the constant of proportionality is $0.89

The correct answer is A. $0.89

Answer:

6 litres

Step-by-step explanation:

9:3=3

2×3=6

therefore the answer is 6.

Step-by-step explanation:

hope it helps

see attached

Answer:

x = +3

Step-by-step explanation:

4x² = 36

sqareroot both side we get,

√4x² = √36

2x = 6

x = 6/2

x = +3

Thus, The answer is +3

-TheUnknownScientist

Answer:

4x^2 = 36

________ x^2 = 9. square root of 9

4. = 4. x = 3

Step-by-step explanation:

Divide both sides by 4 to isolate the square root.

So, you will end up with x^2 = 9

then take the square root of 9,

square root of 9 is 3.

So x = 3

Answer:

The 3rd option

Step-by-step explanation:

If we find X then this would become a Mult. problem

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

Answer: do you have a picure to go with it sorry im not getting it?

Step-by-step explanation:

Answer:

What is your question

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

Do 10*8=80

8*6=38  48/2=24

80+24+24

104+24

128

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

Answer:

SSS Theorem

[tex]x = 35.7[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) The similarity theorem

The given sides of the triangle are similar.

In other words, they are similar by sides.

Hence, the theorem is: SSS

Solving (b): Find x

To find x, we make use of the following equivalent ratios.

[tex]\frac{14}{25} = \frac{14+6}{x}[/tex]

This gives:

[tex]\frac{14}{25} = \frac{20}{x}[/tex]

Cross multiply

[tex]14 * x = 20 * 25[/tex]

[tex]14 * x = 500[/tex]

Solve for x

[tex]x = \frac{500}{14}[/tex]

[tex]x = 35.7[/tex] -- approximated

Answer:

The selected answer is correct (8 cm)

Step-by-step explanation:

So in this problem

we are given that the total length of the composite figure is 14 cm (this including the rectangle's length and the triangle's base length)

We also happen to be given the rectangles length

So we can find the triangles base length by subtracting the total length of the figure by the length of the rectangle

Triangle base length = 14 cm - 6 cm

14 - 6 = 8

Hence the answer is 8 cm

Answer: x=10.25

Step-by-step explanation:

[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]

Answer:

2 2/3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

First convert to mixed fractions 7 1/2-> 15/2

Then multiply by the reciprocal---> 15/2 x 4/3

The answer is 60/6

Then simplify---> 10/1 or 10

Answer:

D. The median for box plot X is the same as the lower quartile as box plot Y.

Step-by-step explanation:

If you look at box plot X, its median is at 6. Also, the lower quartile for box plot  Y is 6 as well. That means that D. is the correct answer. Hope this helps!

Answer:

Below

Step-by-step explanation:

I'm pretty sure it may be B, and D

D because when you look at it X's plot does have the median line up with Y's Lower quartile

And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's

Answer:

I'm not your Slave

Step-by-step explanation:

do it yourself

Answer:

y =84

Step-by-step explanation:

25/100*Y = 21

100/25 * 25y/100 =21 *100/25

y = 2100/25

y = 84

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

Answer:

64.8 ft

Step-by-step explanation:

A square has all its sides equal

Therefore to get one side from its area is simply finding the square root of its area

√262.44=16.2ft

Having the one side then perimeter= to the four equal sides × the dimensions of one side

=4×16.2

=64.8 ft