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3 years ago

Are these rates equivalent? 25 minutes for 3$ 1 hour for 6$

Mathematics

2 answers:

natima [27]3 years ago

7 0

Answer:

Step-by-step explanation:

We can use ratios to see if they are equivalent

25 minutes 60 minutes

---------------- = -------------------

3 dollars 6 dollars

Using cross products

25*6 = 3 * 60

150 = 180

This is not true so they are not equivalent

KengaRu [80]3 years ago

3 0

Answer:

Step-by-step explanation:

25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.

You might be interested in

Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame

lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678$

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{207.9 - 208}{0.1678}$

$Z = -0.6$

$Z = -0.6$ has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0

3 years ago

La casa de prestamos la mejor cobra el 7% de interes mensual.Es decir por cda 100 paga solo 7 pesos

Marizza181 [45]

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado que :

Los mejores cargos por préstamos hipotecarios:

Interés mensual = 7%

Intereses pagados sobre capital de 100 pesos

Intereses pagados = principal * tasa de interés

Intereses pagados = 100 * 7%

Intereses pagados = 100 * 0.07

Intereses pagados = 7 pesos

De ahí que los intereses pagados por un préstamo de 100 pesos sean 7 pesos

3 0

3 years ago

The measure of angle P is five less than four times the measure of angle Q. Of angle P and angle Q are supplementary angles, fin

Andru [333]

Answer:

m∠P=140°

Step-by-step explanation:

Given:

∠P and ∠Q are supplementary angles.

The measure of angle P is five less than four times the measure of angle Q.

To find m∠P

Solution:

The measure of angle P can be given as:

A) $m\angle P=4(m\angle Q-5)$

And

B) $m\angle P+ m\angle Q=180$ [Definition of supplementary angles]

Substituting equation A into B.

$4(m\angle Q-5)+ m\angle Q=180$

Solving for $m\angle Q$

Using distribution:

$4m\angle Q-20+ m\angle Q=180$

Simplifying by combining like terms.

$5m\angle Q-20=180$

Adding 20 to both sides.

$5m\angle Q-20+20=180+20$

$5m\angle Q=200$

Dividing both sides by 5.

$\frac{5m\angle Q}{5}=\frac{200}{5}$

$m\angle Q=40$

Substituting $m\angle Q=40$ in equation B.

$m\angle P+ 40=180$

Subtracting both sides by 40.

$m\angle P+ 40-40=180-40$

$m\angle P=140$

Thus, we have:

m∠P=140° (Answer)

7 0

3 years ago

a cell phone company is giving a 20℅ discount on all phone accessories which expression can used to find the sale price of an it

Sholpan [36]

Answer:

The expression that can be used is 0.80x

Step-by-step explanation:

Let

x ----> original price of an item

Remember that

$100\%-20\%=80\%$

That means---> the sale price is 80% of the original price

To find out the sale price, determine the 80% of the original price

$80\%=80/100=0.80$ ----> percentage in decimal form

Multiply the original price by the percentage in decimal form to obtain the sale price

$0.80x$

6 0

3 years ago

Can some one help me

il63 [147K]

Answer:

5/6

Step-by-step explanation:

Dividing fractions:

Step 1: Rewrite the first fraction as it is.

Step 2: Replace the division sign with a multiplication sign.

Step 3: Flip the second fraction.

Step 4: Multiply the fractions and reduce the product if necessary.

Let's use the rule of dividing fractions on your problem.

Step 1: Rewrite the first fraction as it is.

$\dfrac{5}{8}$

Step 2: Replace the division sign with a multiplication sign.

$\dfrac{5}{8} \times$

Step 3: Flip the second fraction.

$\dfrac{5}{8} \times \dfrac{4}{3}$

Step 4: Multiply the fractions and reduce the product if necessary.

To multiply fractions, multiply the numerators together, and multiply the denominators together.

$\dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24}$

We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.

$= \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6}$

5 0

3 years ago