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Bad White [126]
3 years ago
9

All possible 3-digit numbers made with only the digits 1 and 2 are written on separate pieces of paper. Without looking, Liam ta

kes one piece. What is the probability that the number on the paper will use just one digit?
Mathematics
1 answer:
Sholpan [36]3 years ago
6 0
To find the probability you need to know the number of desired outcomes (i.e. one digit only used) and the total number of outcomes.

In this case there are 3 desired outcomes - 111, 222, 333.

Since any of the 3 positions in the 3-digit number can be any of 3 numbers, there are 3 x 3 x 3 = 27 total possible outcomes.

The probability of having a desired outcome is 3 / 27 = 1 / 9 = 11.1%
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find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate π.​
umka2103 [35]

Answer:

19.42 ft.

Step-by-step explanation:

The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.

The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.

4 0
3 years ago
Which expression is equivalent to (r^5/4
Mademuasel [1]

<u>Answer:</u>

2

<u>Step-by-step explanation:</u>

• Multiplying two numbers with same bases is the same as adding their powers:

∴ (\frac{4^{\frac{5}{4} } \cdot 4^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }

⇒ (\frac{4^{\frac{5}{4} } ^ + ^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }

⇒ (\frac{4^{\frac{6}{4}  }}{4^{\frac{1}{2} }})^{\frac{1}{2} }

• Dividing two numbers with same bases is the same as subtracting their powers:

∴  (\frac{4^{\frac{6}{4}  }}{4^{\frac{1}{2} }})^{\frac{1}{2} }

⇒ (4^{{\frac{6}{4} - \frac{1}{2} }})^{\frac{1}{2} }

⇒  (4^{1})^{\frac{1}{2} }

⇒  4^{\frac{1}{2}

• Raising anything to the power of  \frac{1}{2} is the same as square-rooting it:

∴  4^{\frac{1}{2}

⇒ \sqrt{4}

⇒ 2

3 0
2 years ago
The copper content of 18-carat gold was measured by two methods for six different samples collected from a jewelry production pl
Schach [20]

Full question attached

Answer:

Paired t test

Explanation:

The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.

6 0
3 years ago
H(x)=17, x=?<br> H(x)=5x+2<br> I don't know how to find x?
Andreas93 [3]

Answer:

• If h(x) is 17, equate the whole function to 17

{ \tt{5x + 2 = 17}} \\  \\ { \tt{5x = 17 - 2}} \\  \\ { \tt{5x = 15}} \\  \\ { \boxed{ \tt{x = 3}}}

6 0
3 years ago
Read 2 more answers
CORRECT AND FIRST ANSWER GETS BRAINLIEST!!
ratelena [41]
Make a line down the other side of the E so it becomes a rectangle, find the area of the big rectangle (12•10=120 inches) then find the smaller rectangles (7•5=35 inches) since there’s two small rectangles w the same measurements the area is the same(35+35= 70 inches) , Now u wanna subtract the area of the two small rectangles ( 70-120=50 inches) the Area of the E is 50 inches

Hope I explain it okay and it helps you!
5 0
4 years ago
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