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Aleksandr [31]
4 years ago
13

Score data from a statewide exam for 10th-graders follows a normal distribution, has a mean of 77, and has a standard deviation

of 6.5.
According to the Empirical Rule, 34% of test scores fall into what range? Select all that apply.

Below 70.5

Below 70.5 and above 83.5

Between 70.5 and 77

Below 77

Between 77 and 83.5

Above 77

Above 83.5
Mathematics
1 answer:
Oduvanchick [21]4 years ago
6 0

Answer:

Below 70.5 because of the 68, 95, and 97.5 rule

Step-by-step explanation:

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What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
bearhunter [10]

Answer: 3. - 3/4

Step-by-step explanation:

4 0
3 years ago
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The measure of one angel in a pair of complementary angels is 45 degrees, what's the measure of the other angle
Orlov [11]

Answer:

45 degrees - complementary means both angles add up to 90.

5 0
3 years ago
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale
natali 33 [55]

Answer:

150 ft²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

Where,

a = 24 ft

b = 24 + 12 = 36 ft

h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)

Plug in the values

Area of trapezoid = ½(24 + 36)*5

= ½(60)*5

Area of trapezoid = 150 ft²

7 0
3 years ago
What annual rate of interest is required to triple an investment in 7 years if it were compounded quarterly?
Jobisdone [24]

Answer:

Option C) 16.01%

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=7\ years\\P=\$x\\A=\$3x\\n=4  

substitute in the formula above  

3x=x(1+\frac{r}{4})^{4*7}  

3=(1+\frac{r}{4})^{28}  

Apply log both sides

elevated both sides to 1/28

\sqrt[28]{3}=(1+\frac{r}{4})

Multiply by 4 both sides to remove fraction

4\sqrt[28]{3}=4+r

subtract 4 both sides

r=4\sqrt[28]{3}-4

r=0.1601

convert to percentage

r=0.1601*100=16.01\%

4 0
3 years ago
Which data value has the highest frequency? 1 1/6 3 1/6 3/8 5/8
Marat540 [252]

Answer:

3 1/6

Step-by-step explanation:

To find the highest value, we have to evaluate each term individually,

1)  1 1/6 = 7/6 = 1.167

2) 3 1/6 = 19/6 = 3.16

3) 3/8 = 0.375

4) 5/8 = 0.625

Therefore, second data value (3 1/6) is highest.

 

8 0
3 years ago
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