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musickatia [10]
3 years ago
5

Scores on a national English test are Normally distributed, with a mean score of 510 and a standard deviation of 75. Sixty-eight

percent of English tests were less than which score, rounded to the nearest whole number?
A) 475

B) 529

C) 545

D) 561
Mathematics
1 answer:
amm18123 years ago
8 0

Answer:

Should be (C). Can't verify.

545

ED2021

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Find the area of the triangle. Round the answer to the nearest tenth. A. 4.4 square units B. 5.2 square units C. 6.8 square unit
icang [17]

Answer:

A. 4.4 units²

Step-by-step explanation:

Area of a Triangle: A = 1/2bh

sin∅ = opposite/hypotenuse

cos∅ = adjacent/hypotenuse

Step 1: Draw the altitude down the center of the triangle

- We should get a perpendicular bisector that creates 90° ∠ and JM = KM

- We should also see that we use sin∅ to find the <em>h</em> height of the triangle and that we use cos∅ to find length of JM to find <em>b</em> base of the triangle

Step 2: Find <em>h</em>

sin70° = h/3.7

3.7sin70° = h

h = 3.47686

Step 3: Find <em>b</em>

cos70° = JM/3.7

3.7cos70° = JM

JM = 1.26547

Step 4: Find entire length base JK

JM + KM = JK

JM = KM (Definition of Perpendicular bisector)

2(JM) = JK

2(1.26547) = 2.53095

b = 2.53095

Step 5: Find area

A = 1/2(3.47686)(2.53095)

A = 4.39988

A ≈ 4.4

8 0
3 years ago
Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.
Sever21 [200]

Answer:

Following are the function description to the given question:

Step-by-step explanation:

In the given-question, three functions are used, that can be defined as follows:  

In function 1:

This function is also known as the modulus on the absolute value function, for example:

f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x

In the given in the above graph, that is f(x) = -x , \ \  x

In function 2:

In this function, It is an algebraic function that is y=x^2

It is also a part of the quadratic polynomial function, and its value is y=x^2 , \ \ \ x> 0  

In function 3:

In this function, it is the cubic polynomial equation that's value is y=x^3

In the graph its value is:

y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\

6 0
3 years ago
Tina goes shopping and her total is 210 dollars and if she receives a 35 percent discount for spending over 200 dollars then how
Lisa [10]

9514 1404 393

Answer:

  $136.50

Step-by-step explanation:

After her 35% discount, Tina pays 65% of the marked price. The amount she pays is ...

  0.65 × $210 = $136.50

8 0
3 years ago
Two jugs are filled with water. If you remove 1 liter of water from the first jug, then the two jugs contain the same amount of
lyudmila [28]
Let x be the first jug, y the second jug.

From first statement, subtracting 1 from x, makes them equal:
x - 1 = y

From second statement, subtracting 2 from y, makes it half of x:
x/2 = y-2

Solve system with substitution:
x/2 = (x-1) -2
x/2 = x - 3
x- x/2 = 3
x/2 = 3
x = 6

y = x-1 = 6-1 = 5

Therefore the largest jug contains 6 liters.
4 0
4 years ago
Ms. Hernandez has some young orange trees. She wants to plant them in 46 rows in her garden. If t is the total number of orange
notsponge [240]

Answer:

\frac{t}{46}

Step-by-step explanation:

t trees divided equally into 46 rows

7 0
3 years ago
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