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2 years ago

Help?

Mathematics

1 answer:

MAXImum [283]2 years ago

5 0

Answer:

$32.39

Step-by-step explanation:

She has a 15-gallon tank and it has 1/5 a tank of gas left (so about 3/15)

Because she needs to refill it and already has 1/5, she'll only need to pay for 4/5 a tank of gas (12/15).

So the equation should be 12 times $2.699.

12 × 2.699 = 32.388

Then, round to the nearest cent.

32.388 = $32.39

Hope this helped !

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Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

lianna [129]

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

z2=(10/3)2=100/9

7 0

3 years ago

Lexi picked 2 7/10 pounds of strawberries. That afternoon, Lexi’s sister ate 7/8 of the strawberries. How many pounds of strawbe

gavmur [86]

3 $\frac{3}{35}$ pound of strawberry

Step-by-step explanation:

Given parameters:

Pounds of strawberry picked by Lexi =2 $\frac{7}{10}$

Pounds of strawberry eaten by Lexi sister = $\frac{7}{8}$

Unknown:

Pound of strawberry Lexi's sister ate = ?

Solution:

This is a fraction word problem.

Let pound of strawberry eaten by Lexi's sister = K

We can establish that:

Pound of strawberry eaten by Lexi sister x K = Pound of strawberry picked by Lexi

Mathematically we have:

$\frac{7}{8}$ x K = 2 $\frac{7}{10}$

Learn more:

fractions brainly.com/question/1757979

#learnwithBrainly

K = $\frac{27 x 8}{10 x 7}$ = $\frac{216}{70}$

K = 3 $\frac{3}{35}$ pound of strawberry

8 0

3 years ago

solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si

prisoha [69]

Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

<h3>¿Qué es la distribución binomial?</h3>

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Los parámetros son:

n es el número de ensayos.

p es la probabilidad de éxito en un ensayo

x es el número de éxitos

En este problema, hay que:

20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.

Llegan 10 empleados, o sea, n = 10.

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

$P(X \geq 1) = 1 - P(X = 0)$

En que:

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

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

Por eso:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926$

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113

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2 years ago

Which value of HNK are used to write the function f(x) = x2 + 12x + 6 in vertex form?

anygoal [31]

Answer:

( − 6 , − 30 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex ( h , k ) .

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3 years ago

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zvonat [6]

They would cost $8.75. If you take out 30% from the original price, that is how much they would be.

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3 years ago

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