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Savatey [412]
3 years ago
6

Jim made 14 L of lemonade for his party. His guests drank 4500 mL

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0
14L = 14000 mL. So subtract 14000 by 4500 to get a sum of 9500 mL
You might be interested in
João emprestou R$ 1000,00 a seu amigo José. Para que José conseguisse o empréstimo com o amigo, foram definidas as seguintes con
pochemuha

Answer:

La opción correcta es;

d) R $ 1.200,00

Step-by-step explanation:

El monto que Joao prestó a José = R $ 1.000,00

La duración del préstamo = 6 meses

El plazo de interés del préstamo = interés simple del 10% por trimestre

La cantidad que José tiene que pagarle a Joao después de 6 meses viene dada por la siguiente fórmula de interés simple;

A = P · (1 + r · t)

A = La cantidad que José tiene que pagarle a Joao después de 6 meses

P = La cantidad que Joao prestó a José = R $ 1.000,00

r = La tasa de interés = 10% / trimestre = 10% / (3 meses) = 0.1 / (3 meses)

t = La duración del préstamo = 6 meses

Por lo tanto, al sustituir los valores anteriores en la fórmula de interés simple, tenemos;

A = R $ 1.000,00 × (1 + 0,1 / (3 meses) × 6 meses) = R $ 1.000,00 + R $ 200,00 = $$ 1.200,00

El monto que José debe pagar a Joao después de 6 meses = R $ 1.200,00

8 0
3 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
6 0
3 years ago
Write the equation of the line that passes through the points
sesenic [268]

Answer:

y+5=2(x-3) or y+9=2(x-1)

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

m=\frac{-9+5}{1-3}

m=\frac{-4}{-2}

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

Analyze two cases

<em>First case</em>

we have

m=2

point\ (3,-5)

substitute

y+5=2(x-3)

<em>Second case</em>

we have

m=2

point\ (1,-9)

substitute

y+9=2(x-1)

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0
3 years ago
A researcher working in a Human Resources department was interested in gender and sales figures so he conducted a t-test. The me
irina1246 [14]

Answer:

d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

And on this case 1.713>0.8 so we have a large effect size

This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.

Step-by-step explanation:

Previous concepts

The Effect size is a "quantitative measure of the magnitude of the experimenter effect. "

The Cohen's d effect size is given by  the following formula:

d = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1 +s^2_2}{2}}}

Solution to the problem

And for this case we can assume:

\bar X_1 =78.24 the mean for females

\bar X_2 =66.25 the mean for males

s_1 = s_2= 7 represent the deviations for both groups

And if we replace we got:

d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

And on this case 1.713>0.8 so we have a large effect size

This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.

4 0
3 years ago
Los lados de un triángulo rectángulo tienen por medida tres números enteros consecutivos. Calcula los lados del triángulo.
elixir [45]

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

(n+2)^{2} = n^{2} + (n+1)^{2} (1)

Donde n es un número natural.

A continuación, expandimos la expresión y resolvemos:

n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1

n^{2}-2\cdot n -3 = 0

(n -3) \cdot (n+1) = 0

La única solución factible es n = 3. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

4 0
3 years ago
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