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2 years ago

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An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a

nimals at the park, how many tigers are there

1 answer:

RoseWind [281]2 years ago

6 0

Answer:

$36\ tigers$

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

$x+y+z=120$ ----> equation A

Remember that

$20\%=20/100=0.20$

$50\%=50/100=0.50$

To find out the number of lions, multiply the total animals by the percentage of lions

$x=0.20(120)=24\ lions$

To find out the number of zebras, multiply the total animals by the percentage of zebras

$z=0.50(120)=60\ zebras$

Substitute the value of x and the value of z in equation A and solve for y

$24+y+60=120$

$y+84=120$

$y=36\ tigers$

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With food prices becoming a great issue in the world; wheat yields are even more important. Some of the highest yielding dry lan

Rzqust [24]

Answer:

Option E) 61.6

Step-by-step explanation:

We are given the following information in the question:

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Standard Deviation, σ = 30 bushels per acre

We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X>x) = 0.90

We have to find the value of x such that the probability is 0.90

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 100}{30})=0.90$

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Calculation the value from standard normal table, we have,

$P(z$

$\displaystyle\frac{x - 100}{30} = -1.282\\x = 61.55 \approx 61.6$

Hence, the yield of 61.6 bushels per acre or more would save the seed.

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2 years ago

Nakita rode her skateboard at an average speed of 8.8 feet per second for 0.2 miles. She wants to calculate how long it took her

timama [110]

Answer: $2\ minutes$

Step-by-step explanation:

We know that:

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Where "d" is distance, "r" is rate and "t" is time.

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The first step is to convert the distance from miles to feet.

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$d=(0.2\ mi)(\frac{5,280\ ft}{1\ mi})\\\\d=1,056\ ft$

Knowing that:

$r=8.8\ \frac{ft}{s}$

We can substitute values into $t=\frac{d}{r}$ in order to find the time in seconds:

$t=\frac{1,056\ ft}{8.8\ \frac{ft}{s}}\\\\t=120\ s$

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2 years ago

A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

AnnyKZ [126]

Here,
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2 years ago

Read 2 more answers

What is the factored form of a2 – 121?

Flura [38]

Answer:

The factored form $a^2-121$ is $(a+11)(a-11)$ .

Step-by-step explanation:

Given : $a^2-121$

We have to write the given expression in factored form.

Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression

Consider the given expression $a^2-121$ .

We know the algebraic identity $x^2-y^2=(x+y)(x-y)$

Here $a^2-121=a^2-(11)^2$ .

Comparing with identity stated above , we have x= a , b = 11 , thus, we get

$a^2-(11)^2=(a+11)(a-11)$ .

Thus, the factored form $a^2-121$ is $(a+11)(a-11)$ .

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2 years ago

Giselle buys two types of flowers 48 pink roses and 56 white lilies she combines the two flowers to make identical bouquets with

SSSSS [86.1K]

To solve this problem, let us first lay out all the factors of each number.

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56 : 1, 2, 4, 7, 8, 14, 28, 56

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Answer:

<span>8 bouquets</span>

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2 years ago