Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean

Answer:

About 20 - 19.75

Step-by-step explanation:

Answer:

19.75 cm

Step-by-step explanation:

Since l=4w, plug in 79 for l.

79=4w

79/4=19.75

w=19.75

Answer:

see explanation

Step-by-step explanation:

(a)

The area is calculated as length × breadth

area = 2x(2x + 6) ← distribute

       = 4x² + 12x

(b)

area = x(x + 4) ← distribute

       = x² + 4x

(c)

shaded area = 4x² + 12x - (x² + 4x)

                      = 4x² + 12x - x² - 4x ← collect like terms

                      = 3x² + 8x

Answer:

15 grams of cocoa.

Step-by-step explanation:

By finding the product of 50 and 0.3 or 30%, you could find that the chocolate bar contains 15 grams of cocoa.

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Answer: the answer is

b. Triangle

Answer:

9.4 cm

Step-by-step explanation:

Given: Box; Length = 6 cm, Width = 8 cm, Surface area = 450 cm²

To Find: Height

Solution:

Divide the volume by the product of the length and width to calculate the height of a rectangular object.

                                                       6 × 8 = 48

                                                      450 ÷ 48 = 9.4

For this box, the rectangular object has a length of 6 cm, a width of 8 cm, and a volume of 450 cm². The product of 6 and 8 is 48, and 450 divided by 48 results in 9.4.

The height of the object is 9.4cm.

Answer:

Step-by-step explanation:

Area of the composite figure can be find by using additive areas method and subtractive areas method

Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle

Since, Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of the composite figure can be find by using two methods,

Additive areas method and Subtractive areas method

In Addictive areas method

Break the composite shape into basic shapes

Find the area of the each basic shapes

Add all the areas of basic shapes together

In Subtractive areas method

Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.

Find the area of the each basic shapes

Area of the composite shape will be the difference between the area of the larger shape.

Hence, the area of  the composite figure can be find by using additive areas method and subtractive areas method

Learn more about Composite figure here;

brainly.com/question/16193772

#SPJ2

Answer:

E

Step-by-step explanation:

E

Answer:

The Answer is gonna be C. 21,344

Answer:

B) 2134.4

hope it helps.....

Answer:

Step-by-step explanation:

Answer:

360 is the LCM of 4,6,10 and 12

Answer:

it has one solution which is 4

Answer:

hope this helps you......

Answer:

Step-by-step explanation:

Total surface area is the amount of fabric:

Answer:  1. 79

2.  13

3.  7/4

Step-by-step explanation:

Q(x)=5x^2-1

Q(4)=5(4)^2-1

      =5(16)-1

      =80-1

 Q(4) = 79

p(x)=x^2+x+1

p(-4)=(-4)^2+(-4)+1

      =16-4+1

 p(-4) =13

p(x)=x^2+x+1

p(1/2)=(1/2)^2+(1/2)+1

       =1/4+1/2+1

       2+4+8/9

        =14/8

p(1/2)    =  7/4

Answer:

x= -45

Step-by-step explanation:

Answer:

d) none of these lines fit the data

Answer:

This has to be D - None of the lines fit the data

B > data at the end

A > data at the beginning

C doesn't really match at all.

[tex]\mathtt{: )}[/tex]

Answer:

This probaly sounds a little confusing

Step-by-step explanation:

1 day = 10 laps

1 lap = 400 meters

1 km = 1000 meters

12 km = ? days

We can use this information to find out a lot that we don't know.  

HOW MANY METERS PER DAY??

In order to find the number of meters in a day, we think, "She ran 400 meters 10 times... 400 times 10... that's 4000 meters in one day."

1 day = 4000 meters (10 x 400 meters)

HOW MANY KILOMETERS PER DAY?

In order to find the number of km in a day, we can think, "One thousand is a kilo. There are 4 'one thousand's in 4000. Kali ran 4 kilometers (literally 4 thousand meters) per day.  

1 day = 4 km (4000 m / 1000)

From here you can solve simply by thinking "How many 4km does it take to get to 12km?"

4 x ? = 12

? = 12 / 4

? = 3

Answer:

Step-by-step explanation:

sorry cannot help you

Answer:

I'm sorry I wont guess, I dont know

Answer:

$7.90

Step-by-step explanation:

Its is double both so u double $3.95

~Answer~

Substitute your numbers:

y = 5x

For the first one, y equals 5, so substitute 5 for y.

So, 5 = 5x.

What multiplied by 5 gives 5? The answer is 1.

So, the first one is 1.

Do the same for all the others.

So, 4 = 5x.

4 = 5(4/5)

As a decimal that equals 0.8.

For the last one, I can't tell if that is saying 2 or .2 so I'll do both.

for 2, you will do 2 = 5x and for .2, you will do .2 or 0.2 = 5x.

For 2, it would be 2/5 or 0.4.

For .2 or 0.2, it would be 0.04.

So,

x                                                             y

1                                                             5

4/5 or 0.8                                             4

0.4 if it is 2 and 0.04 if it is 0.2.        2

(looking back, I'm pretty sure it was just 2 and not .2)

I hope this is what u were looking for, if not I'm so sorry for a useless answer.  I wasn't completely sure whether I was doing it right since I haven't done these types of math problems in some time.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer: 78

Step-by-step explanation:

The mode is the number that appears the most number of times. In this case the number 78 appears twice unlike the other numbers that only appear once. Hence, 78 is the mode :)

Answer:

78

Step-by-step explanation:

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

Answer:

8x+16

Step-by-step explanation:

i used an app and its never wrong

Answer:

I hate the links too so just look up that exact question and  youll prolly get the right answer

I think the answer it gave was 8

Answer:

[tex]\displaystyle [-2, -1][/tex]

Step-by-step explanation:

To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :

[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]

I am joyous to assist you at any time.