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3 years ago

SAT verbal scores are normally

Mathematics

1 answer:

Eva8 [605]3 years ago

4 0

Answer:

The percentage of the scores lying between 450 and 750 is 49.4%

Step-by-step explanation:

In this question, we are simply asked to calculate the percentage of the scores lying between a particular range.

The first thing to do here is to calculate the z score of both scores

Mathematically, z score = (x - mean)/SD

for score 450, we have ; z = (450-450)/120 = 0/120 = 0

For score 750, we have z = (750-450)/120 =

2.5

Now, we move on to calculate the probability before turning it into a percentage.

The supposed probability we are to calculate is as follows;

P(450 < x < 750) or P(0 < z < 2.5)

Using standard score table, P = 0.49379

The percentage is thus 49.4%

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The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Check all that apply.

Dominik [7]

Answer-

YZ = 9 cm
$XZ=9\sqrt2$
XZ is the longest segment in triangle XYZ.

Solution-

Triangle XYZ is a right angle triangle with ∠Y=90°

Triangle XYZ is also an isosceles triangle, as

∠X =45°= ∠Z

Therefore, triangle XYZ is a right angle isosceles triangle.

So,

XY = YZ = 9 cm

Applying Pythagoras theorem,

$\Rightarrow XZ^2=XY^2+YZ^2\\\\\Rightarrow XZ^2=9^2+9^2\\\\\Rightarrow XZ^2=2\times 9^2\\\\\Rightarrow XZ=\sqrt{2\times 9^2}=9\sqrt2$

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.

6 0

3 years ago

Read 2 more answers

3/4 picked apples. If 120 students picked apples, how many picked bananas

Oxana [17]

Answer:

40 students picked bananas

Step-by-step explanation:

3/4 picked apples

1 - 3/4 = 1/4 picked bananas

3/4x = 120

Multiply both sides of the equation by 4/3

4/3 * (3/4x) = 120/1 * (4/3)

x = 480/3

x = 160

Total of 160 students

/ \

120 = apples 160 - 120 = 40 = bananas

40 students picked bananas

Hope this helps :)

6 0

3 years ago

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About 0.5 of all the students in the fifth grade are girls. If the fifth grade has 80 students, how many of the students are gi

Nookie1986 [14]

Answer:

40 Girls.

Step-by-step explanation:

80 multipled by 0.5 = 40

7 0

3 years ago

I needddd helppp please

Montano1993 [528]

Answer:

X=66°

Step-by-step explanation:

Because it is an isosceles triangle, the 2 missing angles are going to be the same size.

Subtract 48 from the total degree of the triangle which is 180.

180-48= 132

now you di ed that by 2 and you’ll know the missing angle.

132/2= 66

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3 years ago

3. Simplify 32 • 35. (4 points) 37 310 97 910

Anarel [89]

Hey there!

In order for you to solve for this equation, you need to multiply. That’s what the “•” is or means!

32 • 35 = ?

None of the above, because 32 times 35 equals 1,120

Answers 1,120 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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3 years ago

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