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3 years ago

Identify the trinomial that is a perfect square. HELP ASAP

1 answer:

7 0

D. (9x-4)^2

You can find this by taking the square roots of the outside numbers and multiplying them by each other and 2 to see if they equal the middle number.

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The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is . The probabi

Tems11 [23]

Answer:

1/15

Step-by-step explanation:

When we form such three-digit numbers with distinct digits using the digits 1 , 2 , 3 , 5 , 8 and 9 (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits 1 , 2 , and 3 , we can have 123 , 132 , 231 , 213 , 312 or 321 .

Hence we have to find number of 3 digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ = 6 × 5 × 4 = 120 .

.How haw many of them will have first digit as even, we have two choices 2 and 8 . Once we have chosen 2

for hundreds place, we can have only 8 in units place and any one of remaining 4 can be used in tens place. Hence four choices, with 2 in hundreds place and another four choices when we have 8 in hundreds place (and 2 in units place) i.e. total 8 possibilities.

Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is 8 /120 = 1 /15

4 0

3 years ago

We did not find results for: A measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's w

asambeis [7]

$\bf \qquad \qquad \textit{double proportional variation}\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
p=pedalisi\\
w=weight\\
s=\textit{sitting height}
\end{cases}\quad 
\begin{array}{llll}
%pelidisi, varies directly as the cube root of a person's weight in grams and inversely as the person's sitting height in centimeters.
\textit{pelidisi varies directly}\\
\textit{as cube root of weight}\\
\textit{and inversely to }\\
\textit{sitting height}
\end{array}\implies p=\cfrac{k\sqrt[3]{w}}{s}\\\\
-------------------------------$

$\bf \textit{we know that }
\begin{cases}
w=48,820\\
s=78.7\\
p=100
\end{cases}\implies 100=\cfrac{k\sqrt[3]{48820}}{78.7}
\\\\\\
100\cdot 78.7=k\sqrt[3]{48820}\implies \cfrac{7870}{\sqrt[3]{48820}}=k
\\\\\\
thus\qquad \boxed{p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{w}}{s}}
\\\\\\
\textit{now, what is \underline{p} when }
\begin{cases}
w=54,688\\
s=72.6
\end{cases}?\implies p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{54688}}{72.6}$

now, if that value is less than 100, then the fellow is "undernourished", otherwise, is overfed.

3 0

4 years ago

A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag con

telo118 [61]

Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

$\frac{170}{17}$ = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

7 0

3 years ago

What are the like terms of 10a+4b+3a-15b

TiliK225 [7]

The like terms in 10a+4b+3a-15b consist of a and b. First, we have to combine like terms.
(10a+3a) + (4b-15b)
solve a and b
13a - 11b. Thus, the like terms in your original expression are 13a and -11b :)

3 0

3 years ago

Read 2 more answers

Given P(A)=0.31P(A)=0.31, P(B)=0.5P(B)=0.5 and P(A\text{ or }B)=0.535P(A or B)=0.535, find the value of P(A and B) rounding to t

irina [24]

Answer:0.275

Step-by-step explanation:

4 0

3 years ago