The scores of an eighth-grade math test have a normal distribution with a mean mu = 83 and a standard deviation sigma = 5. if din’s test score was 92, which expression would she write to find the z-score of her test score? z = startfraction 92 minus 83 over 83 endfraction z = startfraction 83 minus 92 over 5 endfraction z = startfraction 92 minus 83 over 5 endfraction z = startfraction 5 minus 83 over 92 endfraction

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

#a

Perimeter=Sum of sides

#b

Area:-

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]

Answer:

210 i hope i helped you with this question

Answer:

Step-by-step explanation:

Step: 1: Convert mixed fraction to improepr fraction.

Step: 2 : Find the LCM of 4 , 5 = 20

Step 3: Find equivalent fractions with denominator as 20

Step 4: Now subtract.

[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]

             [tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]

Answer:

10 or 6

Step-by-step explanation:

pls tell me if im wrong

Answer:

Step-by-step explanation:

A geometric sequence is any sequence that has a common ratio and a non-zero initial value

The sequence 2, 6, 18, 54, ..... is a geometric sequence

A geometric sequence is represented as:

Tn = ar^(n - 1)

Where:

Assume that:

a = 2 and r = 3.

The terms of the sequence would be:

T1 = 2 * 3^0 = 2

T2 = 2 * 3^1 = 6

T3 = 2 * 3^2 = 18

T4 = 2 * 3^3 = 54

So, we have:

2, 6, 18, 54, .....

Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence

Read more about geometric sequence at:

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Answer:

A

Step-by-step explanation:

Answer:

6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.

Answer:

okay so i think the length of CD is 16cm

Answer:

-36

Step-by-step explanation:

6^2+(y-x)

=>                 6^2+[-77 - (-5)]

=>                 6^2+[-77+5]

=>                 6^2+(-72)

=>                 36+(-72)                            [6^2 = 36]

=>                 -36

can you mark me brainliest?

Hello-

6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.

x = -5

y = -77

Let's plug our given values into our equation for x and y. Like so-

6² + (y - x) becomes 6² + (-77 - (-5))

In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.

6² + -72

Now we do our exponents, or powers.

6² = 36

36 + -72

Now we do the easiest part - adding.

32 + -72 = -36

So the answer to this problem (if I've done my algebra correctly) is -36.

Hope this helps.

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]

[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

Answer:

[tex]\displaystyle 1\frac{1}{10}n[/tex]

Explanation:

Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.

I am joyous to assist you at any time.

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

hope this helps

= 29/6 ×4

=29/3 ×2

=58/3

=19(1/3)

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.

5 = 60 and 7=120. 60+120=180

Answer:

Late because 12 were on time so 5 would be late

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

Learn more about time calculation in https://brainly.com/question/14695611

Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

Answer:

B.  Opposite sides are parallel.

Step-by-step explanation:

This is the definition of a parallelogram.

The other 3 conditions may or may not be true.

Opposites sides are parallel is always a property of a parallelogram.

" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."

According to the question,

As per the properties of parallelogram we have,

Hence, Option (B) is the correct answer.

Learn more about parallelogram here

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The area of the trapezoid, to the nearest whole number is: D. 8 units²

Area of trapezoid = 1/2(a + b)h, where:

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

Learn more about the area of trapezoid on:

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Answer: 234 degrees

Step-by-step explanation:

Angle formed by a chord and a tangent has half the measure as the arc formed by the chord

The value of measure of arc DEF is,

⇒ 234 degree

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Hence, We know that;

The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.

Thus, The value of measure of arc DEF is,

⇒ 2 x 117 degree

⇒ 234 degree

Learn more about the angle visit:;

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Answer:

722.5792 cm²

Step-by-step explanation:

1 in ≈ 2.54 cm

Squaring both sides:

⇒ (1 in)² ≈ (2.54 cm)²

Apply exponent rule (ab)² = a²b²

⇒ (1)² in² ≈ (2.54)² cm²

⇒ 1 in² ≈ 6.4516 cm²

Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:

⇒ 112 in² ≈ (112 × 6.4516) cm²

               = 722.5792 cm²

Answer:

I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.

Answer:

2512

Step-by-step explanation:

Formula=πr^2/2

(3.14×40×40)/2

=2512

Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

Answer:

Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Answer:

b = 4 mm

Step-by-step explanation:

[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]

Hope this helps

Answer:

The missing leg measures b = 4 millimeters in length.

Step-by-step explanation:

The Pythagorean theorem should be used to find the missing leg measure.

The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.

Let's use the Pythagorean theorem now that a = 3 and c = 5.

a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.

3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.

9 + b^2 = 25

b^2 = 16 - Take 9 off both sides or subtract.

square root of b^2 = square root of 16 - Take the square root of both sides of the equation.

b = 4 - Simplify

The missing leg measures b = 4 millimeters in length.