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3 years ago

What are the coordinates of point L?

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

(1, -3)

Step-by-step explanation:

Start where the axes meet. That is the origin (0,)

Move 1 place to the right that is the x coordinate

Move 3 places down that is the y coordinate

(1,-3)

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The buyer for a chain of stores purchased lawn ornaments in bulk, paying $23 each. The stores will sell each lawn ornament for $

Naya [18.7K]

Answer:

The markup percentage is 61.2

Step-by-step explanation:

Given as :

The cost price of each ornaments = $23

The sell price of each ornament = $37.08

Let The markup percentage = x

Now, According to question

Markup percentage = $\dfrac{s.p - c.p}{c.p}$ × 100

Or, x% = $\dfrac{37.08 - 23}{23}$

Or, x% = $\dfrac{14.08}{23}$

Or, x% = 0.612

∴ x = 0.612 × 100

I.e x = 61.2

So, The The markup percentage = x = 61.2

Hence, The markup percentage is 61.2 Answer

8 0

3 years ago

True or false !!! T or F

trapecia [35]

Tan x = opp/adj

For angle C, opp = 4, and 3 = adj, so

tan C = 4/3

Answer: False

6 0

3 years ago

A simple random sample of size nequals10 is obtained from a population with muequals68 and sigmaequals15. (a) What must be true

valentina_108 [34]

Answer:

(a) The distribution of the sample mean ( $\bar x$ ) is N (68, 4.74²).

(b) The value of $P(\bar X$ is 0.7642.

Step-by-step explanation:

A random sample of size n = 10 is selected from a population.

Let the population be made up of the random variable X.

The mean and standard deviation of X are:

$\mu=68\\\sigma=15$

(a)

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Since the sample selected is not large, i.e. n = 10 < 30, for the distribution of the sample mean will be approximately normally distributed, the population from which the sample is selected must be normally distributed.

Then, the mean of the distribution of the sample mean is given by,

$\mu_{\bar x}=\mu=68$

And the standard deviation of the distribution of the sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{10}}=4.74$

Thus, the distribution of the sample mean ( $\bar x$ ) is N (68, 4.74²).

(b)

Compute the value of $P(\bar X$ as follows:

$P(\bar X$

$=P(Z$

*Use a z-table for the probability.

Thus, the value of $P(\bar X$ is 0.7642.

(c)

Compute the value of $P(\bar X\geq 69.1)$ as follows:

Apply continuity correction as follows:

$P(\bar X\geq 69.1)=P(\bar X> 69.1+0.5)$

$=P(\bar X>69.6)$

$=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{69.6-68}{4.74})$

$=P(Z>0.34)\\=1-P(Z$

Thus, the value of $P(\bar X\geq 69.1)$ is 0.3670.

7 0

3 years ago

49 is 35% of what number?

NNADVOKAT [17]

We write this like this:

49=35%x

and we want to find the x.

let's invert the sides:

35%x=49.

35 is equal to 0.35

0.35*x=49

and now we only divide both sides by 0.35:

x=140

so the answer is 140.

(aternatively we can do it through fractions:

35/100*x=49
divide both sides by 7:

5/100*x=7

simplify the first fraction
1/20*x=7

and multiply by 20:

x=140

4 0

3 years ago

The sum of two consecutive integers is 211. Find the integers.

Len [333]

Answer:

105 and 106

Step-by-step explanation:

x+(x+1)=211

2x+1=211

2x=210

x=105

7 0

3 years ago