Answer:
<h2>9 × (10 + 3)</h2>
Step-by-step explanation:
The distributive property:
<em>a × (b + c) = a × b + a × c</em>
90 = 9 × 10
27 = 9 × 3
90 + 27 = 9 × 10 + 9 × 3 = 9 × (10 + 3)
Answer:36
Step-by-step explanation:

for every 7 students there are 4 girls, so for every 84 there must be 48
7*12=84
4*12=48
so, in all 84 students there are 48 girls
so amount of boys=84-48=36
there are 36 boys
The number of pieces per stack after 3 cuts represented by a power expression can be written as
- The number of equal pieces per cut = 3
- The number of cuts made = 3
<u>Using a power </u><u>expression</u><u> </u><u>:</u>
- The number of of equal pieces per cut is raised to a power which represents the number of cuts made
- Thus we have
- After 1 cut ;

- After 2 cuts ;
- After 3 cuts ;
Therefore, the Number of pieces present in stack after 3 cuts is 
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Answer:
z = 2.1784 > 1.96,
Reject the null hypothesis
Step-by-step explanation:
For the males:
n1 = 162, x1 = 63
P1 = x 1/ n1 = 0.3889
For the Females:
n2 = 333,
x2 = 97
P 2 = x2/n2
= 0.2913
P 1= P2 Null hypothesis
P 1 is not equal to P 2 alternative hypothesis
Pooled proportion:
P= (x1 + x2) /( n1+ n2)
= (63 + 97) / (162 + 333)= 0.3232
Test statistics :
Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)
0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)
=2.1784
c) Critical value :
Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960
Reject H o if z < -1.96 or if z > 1.96
d) Decision:
z = 2.1784 > 1.96,
Reject the null hypothesis
Answer:
Step-by-step explanation:
6) Convert mixed fraction to improper fraction and then plugin the values in the formula.

b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.
7) Right side rectangular prism:
l = 16 in
w = 5 in
h = 20 - 14 = 6 in
Volume 1 = 16 * 5 * 6 = 480 cubic inches
Left side rectangular prism:
l = 9 in
w = 5 in
h =14 in
Volume 2 = 9 * 5 * 14 = 630 cubic in
Volume of composite solid = 480 + 630 = 1110 cubic inches