A) 5/13<br>B) 5/12<br>C) 12/13<br>D) 12/5

Danny brought a car for £10000 the value of the car depreciated by 20% in the first year then the value of the car depreciated b

Levart [38]

£7200

In first year depreciates by 20%, that is it is worth 80% of it's original value

80% = $\frac{80}{100}$ = 0.8

value after 1 year = 0.8 × £10000 = £8000

In the second year it depreciates by 10% of it's value, that is it is worth 90% of it's value at the end of the first year.

90% = $\frac{90}{100}$ = 0.9

value after 2 years = 0.9 × £8000 = £7200

6 0

3 years ago

Mary Ann needs 3/7 cup of sugar to bake a cake she has 3/5 cup does she have enough to bake the cake yes or no

IrinaVladis [17]

Answer:

Mary Ann does have enough sugar

Step-by-step explanation:

3/5 is greater than 3/7 which means that she does have enough sugar. This is because the denominator 5 is smaller than the denominator 7, and since they have the same numerator, the fraction with the smaller denominator is greater.

5 0

2 years ago

Read 2 more answers

Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

3 years ago

Math help!! This is really difficult

Reptile [31]

Answer:

y = -3/2 x +13

Step-by-step explanation:

We want our line to be perpendicular to

y = 2/3 x -1

The slope of this line is 2/3 (since it is written in the form y = mx+b and m is the slope)

Perpendicular lines have negative reciprocal slopes

m = -(3/2)

The slope of our new line is -3/2

We can use point slope form of the equation

y-y1 - m (x-x1)

y - 7 = -3/2 (x-4)

Distribute

y-7 = -3/2x +6

Add 7 to each side

y-7+7 = -3/2 x +6+7

y = -3/2 x +13

4 0

3 years ago

OKay, i need help asap pls. The ratio__ is equivalent to 12/36. The ratio__is not equivalent to 12/36.

EleoNora [17]

The ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.

Given that,
The ratio__ is equivalent to 12/36. The ratio__is not equivalent to 12/36.
Blank statement to be filled from the options.

<h3>What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
12 / 36 = 1 / 3
and
12 / 36 ≠ 3 / 4

Thus, the ratio of 1:3 is equivalent to 12/36. The ratio 3 / 4 is not equivalent to 12/36.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ1

The question seems to be incomplete,
So we will fill a ratio that is equivalent to 12 / 36 and one ratio that is not equivalent to 12 / 36,
We have two ratios here 1:3 and 3:4

8 0

1 year ago

A) 5/13B) 5/12C) 12/13D) 12/5​

A) 5/13B) 5/12C) 12/13D) 12/5