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Diano4ka-milaya [45]
3 years ago
13

A set of data has been organized using the stem-and-leaf plot below. What is the range of the data?

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer: 30

You want to find the lowest number and the highest number.

For stem 8, 81 is the lowest.

For stem 11, 111 is the highest.

111 - 81 = 30

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True or False? For any integer m, 6m(2m + 10) is divisible by 4. Explain
Kruka [31]

Answer:

Yes it is!

Step-by-step explanation:

6m(2m+10) / 4

 

= 2(3m)(2)(m+5)/4

 

= 4(3m)(m+5)/4

 

= (3m)(m+5)

3 0
4 years ago
Read 2 more answers
ITS TIMED PLEASE HELP​
Lubov Fominskaja [6]

Answer:

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex of the parabola

If a > 0 the parabola open upward and the vertex is a minimum

If a < 0 the parabola open downward and the vertex is a maximum

In this problem

The coefficient a must be positive, because we need to find a minimum

therefore

Check the option C and the option D

Option C

we have

f(x)=\frac{1}{2}x^{2}-4x+5

Convert to vertex form

f(x)-5=\frac{1}{2}x^{2}-4x

Factor the leading coefficient

f(x)-5=\frac{1}{2}(x^{2}-8x)

f(x)-5+8=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x-4)^{2}

f(x)=\frac{1}{2}(x-4)^{2}-3

The vertex is the point (4,-3) ( is a minimum)

therefore

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

5 0
4 years ago
Nikki works at a store that sells consumer electronics. She earns $12 per hour, plus a commission of 5% of her total sales amoun
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

139=96+0.05x

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

139=96+0.05x\\43=0.05x\\x=\$860

Thus, her total sales that day were $860.

6 0
3 years ago
Suppose that the natural rate of unemployment in a particular year is 4 percent and the actual unemployment rate is 13 percent.
adell [148]

Answer:

a. 18 percent

b. $90 billion

Step-by-step explanation:

a. Calculation to use Okun's law to determine the size of the GDP gap in percentage-point terms.

First step is to find the difference between ACTUAL RATE of unemployment and NATURAL RATE of unemployment

Difference=13%-4%

Difference= 9%

Based on the information above calculation we can see that the ACTUAL RATE of unemployment EXCEEDS the NATURAL RATE of unemployment by 9%, which indicates a CYCLICAL UNEMPLOYMENT.

Thus, According to Okun's law, this translates into an 18 % GDP gap in percentage-point terms (= 2 × 9%).

Therefore the the size of the GDP gap in percentage-point terms is 18 percent

b. Calculation to determine how much output is forgone because of cyclical unemployment

Forgone Output :

By applying Okun’s law we known that the GDP gap is 18%, which means that we are 18% below the GDP amount which is given as $500 billion,

Hence,

Output forgone = (18/100) ×$500 billion

Output forgone=0.18×$500 billion

Output forgone=$90 billion

Therefore the Forgone Output is $90 billion

6 0
3 years ago
EC = 10cm, AE = 4cm, and m∠EAB = 45°. Find the area of the kite. 56cm2 80cm2 112cm2 160cm2
aalyn [17]

Did the math the comment bro is right it’s 56

5 0
3 years ago
Read 2 more answers
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