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2 years ago

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there are 64 singers in the choir. the tenors and sopranos are in separate row . there are 8 singers in each row. there are 4 ro

ws of tenors. how many rows of sopranos are thwre?

1 answer:

lilavasa [31]2 years ago

8 0

4 since 64/8=8 there are 8 rows and if 4 are filled with tenors the rest must be filled with sopranos

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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to

steposvetlana [31]

Answer:

8 servings

Step-by-step explanation:

At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...

40 g/(5 g/serving) = 8 servings

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2 years ago

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An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t

gregori [183]

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial probability distribution because:

In the question it is given that the sprinklers activate correctly or not independently.
The number of outcomes are two i.e. sprinklers activate correctly or not.

A binomial distribution is a probability of a success or failures outcomes in an repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = $C_{n,x}*p^{x} * (1 - p)^{n-x}$

b = binomial probability also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

$C_{n,x}$ is calculated as:

$C_{n,x}$ = n! / x!(n – x)!

= 10! / 10!(10-10)!

= 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = $C_{n,x}*p^{x} * (1 - p)^{n-x}$

= C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

= 1 * 0.0282 * (0.3) ⁰

= 1 * 0.0282 * 1

P(X=x) = 0.0282

5 0

1 year ago

The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the

otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

38,430 is the population if t is an exponent

146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

$P(t) = 27,400(1.07)t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590$

Or if the equation is supposed to have t as an exponent then look below:

$P(t) = 27,400(1.07)^t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430$

This formula is based off the standard formula $A=A_0(1+r)^t$ so r, the rate is 1.07=1+0.07 so r is 7%.

$A_0$ is the starting population which is 27,400 here.

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1 year ago

Which inequality represents this sentence?

olga_2 [115]

6 + 2 < 9 + 3...u r correct

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1 year ago

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Artemon [7]

Answer:

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explanation:

<em><u>h</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>i</u></em><em><u>t</u></em><em><u> </u></em><em><u>h</u></em><em><u>e</u></em><em><u>l</u></em><em><u>p</u></em><em><u>s</u></em><em><u>,</u></em><em><u> </u></em><em><u>b</u></em><em><u>t</u></em><em><u>w</u></em><em><u> </u></em><em><u>i</u></em><em><u> </u></em><em><u>d</u></em><em><u>o</u></em><em><u>n</u></em><em><u>t</u></em><em><u> </u></em><em><u>h</u></em><em><u>a</u></em><em><u>v</u></em><em><u>e</u></em><em><u> </u></em><em><u>s</u></em><em><u>t</u></em><em><u>e</u></em><em><u>p</u></em><em><u>-</u></em><em><u>b</u></em><em><u>y</u></em><em><u>-</u></em><em><u>s</u></em><em><u>t</u></em><em><u>e</u></em><em><u>p</u></em><em><u> </u></em><em><u>e</u></em><em><u>x</u></em><em><u>p</u></em><em><u>l</u></em><em><u>a</u></em><em><u>n</u></em><em><u>a</u></em><em><u>t</u></em><em><u>i</u></em><em><u>o</u></em><em><u>n</u></em><em><u> </u></em><em><u>b</u></em><em><u>e</u></em><em><u>c</u></em><em><u>u</u></em><em><u>a</u></em><em><u>s</u></em><em><u>e</u></em><em><u> </u></em><em><u>i</u></em><em><u> </u></em><em><u>a</u></em><em><u>l</u></em><em><u>r</u></em><em><u>e</u></em><em><u>a</u></em><em><u>d</u></em><em><u>y</u></em><em><u> </u></em><em><u>h</u></em><em><u>a</u></em><em><u>v</u></em><em><u>e</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>a</u></em><em><u>n</u></em><em><u>s</u></em><em><u>w</u></em><em><u>e</u></em><em><u>r</u></em><em><u>.</u></em><em><u> </u></em>

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3 0

1 year ago