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3 years ago

Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below.

1 answer:

8 0

Below are supposed to be the choices:

The two tiles are not similar because segment SP is to segment SR is 5 : 1 and segment MJ is to segment ML is 2 : 3.
The two tiles are similar because segment PQ is to segment QR is 1 : 3 and segment JK is to segment KL is also 1 : 3.
The two tiles are similar because segment SR is to segment SP is 3 : 2 and segment ML is to segment MJ is also 3 : 2.
The two tiles are not similar because segment PQ is to segment QR is 1 : 6 and segment JK is to segment KL is 1 : 3.

The answer is the second one.

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You took a random sample of 12 two-slice toasters and found the mean price was $61.12 and the standard deviation was $24.62. Con

Minchanka [31]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the population mean for the prices of slice toasters.

Number of sample, n = 12

Mean, u = $61.12

Standard deviation, s = $24.62

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

61.12 ± 1.96 × 24.62/√12

= 61.12 ± 1.96 × 7.107

= 61.12 ± 13.93

The lower end of the confidence interval is 61.12 - 13.93 =47.19

The upper end of the confidence interval is 61.12 + 13.93 = 75.05

5 0

3 years ago

Use the summation formula to find a partial sum of a series with the following properties

Otrada [13]

Answer:

-36,047.

Step-by-step explanation:

Sum of n terms = a1 .( r^n - 1) / (r - 1)

So Sum of 7 terms = -11 . ((-4)^7 - 1 / (-4-1)

= -11 * -16,385 / -5

= -36,047.

4 0

3 years ago

Norgestrel and ethinyl estradiol tablets are available containing 0.5 mg of norgestrel and 50 μg of ethinyl estradiol. How many

Bogdan [553]

Answer:

5g of norgestel are used in making 10,000 tablets.

0.5g of ethinyl estradiol are used in making 10,000 tablets.

Step-by-step explanation:

This problem can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: Grams of norgestrel

Each tablet contais 0.5mg of norgestrel. How many miligrams are in 10,000 tablets?

1 tablet - 0.5 mg

10,000 tablets - x mg

x = 10,000*0.5

x = 5,000 mg

Now we have to convert 5,000 mg to g. Each g has 1,000 mg. So:

1g - 1,000 mg

xg - 5,000 mg

1,000x = 5,000

$x = \frac{5,000}{1,000}$

x = 5g,

5g of norgestel are used in making 10,000 tablets.

Final step: Grams of ethinyl estradiol

50ug = 0.05 mg.

1 tablet - 0.05mg

10,000 tablets - xg

x = 10,000*0.05

x = 500 g

Now we have to convert 500 mg to g. Each g has 1,000 mg. So:

1g - 1,000 mg

xg - 500 mg

1,000x = 500

$x = \frac{500}{1,000}$

x = 0.5g,

0.5g of ethinyl estradiol are used in making 10,000 tablets.

8 0

3 years ago

Possesses help its timed will mark brainliest

umka21 [38]

Answer:

$\sqrt{13}$

Step-by-step explanation:

The two points:

(0, 0) and (-3, -2)

The distance:

d = $\sqrt{(x2- x1)^2 + (y2 - y1)^2 }$
d = $\sqrt{(-3)^2 + (-2)^2}$ = $\sqrt{13}$

3 0

3 years ago

Find the slope of the line containing the points (2,6)and(-4,3)

faltersainse [42]

M= 1/2
to find this you plug in the points into the the formula m=y2-y1 / x2-x1

m=3-6 / -4-2
m=-3 / -6
this simplifies to m=1/2

8 0

4 years ago