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3 years ago

14

Mrs. Summer's third grade class is putting on a play. If she has 13 1/8 yards of fabric, and each student needs 7/8 of a yard fo

r a costume, how many students can make costumes?

2 answers:

Juliette [100K]3 years ago

7 0

15. 7/8 times 15 equals 13.125 (or 13 1/8)

AfilCa [17]3 years ago

6 0

I'm not quite sure, but just subtract 7/8 from 13 and 1/8 for each student until you can't anymore and there's your answer! Hope this helps. (:

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1 point) As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distri

BigorU [14]

Answer:

(a) E (X) = 61 and SD (X) = 9

(b) E (Z) = 0 and SD (Z) = 1

Step-by-step explanation:

The time of the finishers in the New York City 10 km run are normally distributed with a mean,<em>μ</em> = 61 minutes and a standard deviation, <em>σ</em> = 9 minutes.

(a)

The random variable <em>X</em> is defined as the finishing time for the finishers.

Then the expected value of <em>X</em> is:

<em>E </em>(<em>X</em>) = 61 minutes

The variance of the random variable <em>X</em> is:

<em>V</em> (<em>X</em>) = (9 minutes)²

Then the standard deviation of the random variable <em>X</em> is:

<em>SD</em> (<em>X</em>) = 9 minutes

(b)

The random variable <em>Z</em> is the standardized form of the random variable <em>X</em>.

It is defined as: $Z=\frac{X-\mu}{\sigma}$

Compute the expected value of <em>Z</em> as follows:

$E(Z)=E[\frac{X-\mu}{\sigma}]\\=\frac{E(X)-\mu}{\sigma}\\=\frac{61-61}{9}\\=0$

The mean of <em>Z</em> is 0.

Compute the variance of <em>Z</em> as follows:

$V(Z)=V[\frac{X-\mu}{\sigma}]\\=\frac{V(X)+V(\mu)}{\sigma^{2}}\\=\frac{V(X)}{\sigma^{2}}\\=\frac{9^{2}}{9^{2}}\\=1$

The variance of <em>Z</em> is 1.

So the standard deviation is 1.

8 0

3 years ago

What is the 8th term in the following sequence 28,33,38,43.....

Mrrafil [7]

To solve this, you have to figure out how they created the sequence, i.e., how did they get from 28 to 33 and then from 33 to 38 (etc.). If you subtract 28 from 33 the answer is 5, and the same is true for all the consecutive numbers in the sequence, so you have to add five to 43 to figure out the next term. You already have four terms, so we only need 4 more:
28, 33, 38, 43, 48, 53, 58, 63 63 is the 8th term.

8 0

3 years ago

Cabs use a valuable commodity—gas! Research average gas prices from 2005–

Doss [256]

Answer:

a

Step-by-step explanation:

6 0

3 years ago

Substitution method <br><br> x-7y=-9<br> -x+8y=10

max2010maxim [7]

Answer:

x = -2, y=1

Step-by-step explanation:

x-7y=-9---------------------equation 1

-x+8y=10-------------------equation 2

From equation 1, make x the subject of formula

x=7y-9----------------------equation 3

substituting x=7y-9 in equation 2,

-(7y-9)+8y=10

Expanding bracket

-7y+9+8y=10

Collecting like terms

8y-7y=10-9

y=1

substituting y=1 in 3

x=7(1)-9

x=7-9

x=-2

7 0

3 years ago

The hypotenuse of one side of a right angled triangle are 5cm and 4cm respectively. what is the length of the other side

AURORKA [14]

Answer: 3cm

Explanation:

We can use Pythagorean’s theorem to find that other side:

a^2 + b^2 = c^2
a^2 + 4^2 = 5^2
a^2 = 25 - 16
a^2 = 9
a = 3

Therefore, the other side is 3cm

3 0

4 years ago

Read 2 more answers