All categories

3 years ago

Find the product. -mnp(3m - 5n 7p)

2 answers:

5 0

If you would like to find the product, you can calculate this using the following steps:

-mnp * (3m - 5n7p) = -mnp * 3m + mnp * 5n7p = -3m^2np + 35mn^2p^2

The correct result would be -3m^2np + 35mn^2p^2.

Nataliya [291]3 years ago

3 0

$-mnp(3m-5n7p)=\\\\-mnp\times3m+mnp\times5n7p=\\\\-3m^2np+35mn^2p^2\\\\\sf\ ANSWER={\boxed{-3m^2np+35mn^2p^2}$

You might be interested in

in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine

makkiz [27]

Answer:

$\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}$

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: $0.05$ , the associated z-value from Laplace table:

Φ( $z$ ) = α - $0.5 = 0.05 - 0.5 = -0.45$

=> $z$ = $-1.645$

Step 2: Define null hypothesis ( $H_{0}$ ) and alternative hypothesis ( $H_{1}$ )

$H_{0}$ : rate of flu infection $p$ = 8.3% or 8.3/100 = 0.083

$H_{1}$ : rate of flu infection $p$ < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

$K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}$

with $f$ is actual sampling percent, $p$ is rate of flu infection of $H_{0}$ , $n$ is number of samples.

The null hypothesis will be rejected if $K < z$

Step 4: Calculate the value of K and compare with $z$

$K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46$

We have $-2.46 < -1.645$

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As $H_{1}$ states)

Hope this helps!

5 0

3 years ago

Carlotta handpaints T-shirts and sells them to her friends. She uses the equations below to determine her costs and the amount o

spayn [35]

Profit = Income - cost
Profit = 10s - (28 + 3s) = 10s - 28 -3s = 7s - 28.

Profit = 0

0 = 7s - 28

7s = 28
7s = 28/7
s = 4. This is the breakeven point.

Carlota must sell more than 4 shirts to make a profit

8 0

3 years ago

Read 2 more answers

ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 play

cestrela7 [59]

Answer:

21 / 143

Step-by-step explanation:

Given that:

Number of Eastern conference reps = 8

Number of western conference rep = 7

Probability of selecting 3 from Eastern reps and 2 from western reps

Probability = required outcome / Total possible outcomes

Total possible outcomes:

selection to be made = 3+ 2 = 5

Total Number of players = 8 +7 = 15

Total possible outcomes

Using combination formula :

nCr = n! / (n-r)!r!

15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003

Total possible outcomes = 3003

Required outcome :

8C3 * 7C2

8C3 = 56 ; 7C2 = 21

8C3 * 7C2 = 56 * 21 = 1176

required outcome / Total possible outcomes

= 1176 / 3003

= 21 / 143

6 0

3 years ago

A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of al

Serhud [2]

We are given the retail price of desk as $320. The store takes 50% off of the retail price of desk, then its price would become half of the original.

So its new price would be $160.

Now it says that it takes an additional 20% off of all furniture on store's holiday sale. So we need to cut off 20% from new price $160.

Holiday discount = 20% of $160 = 0.2 × 160 = 32.

Final selling price would be = $160 - $32 = $128.

So $128 is the final answer.

3 0

3 years ago

Read 2 more answers

Solve x:(x+4)/3=2 Will give points

sasho [114]

$\frac{x + 4}{3} = 2 \\ \\ \\ \text{ Multiply by 3 on both sides, }\\ \\ \\ = > \frac{x + 4}{3} \times 3 = 2 \times 3 \\ \\ \\ \\ = > x + 4 = 6 \\ \\ \\ = > x = 6 - 4 \\ \\ \\ = > x = 2$

Hence, value of x in the given equation is 2

8 0

3 years ago

Read 2 more answers