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3 years ago

PLZ HELP! Need this FAST! Plz SHOW YOUR WORK! Thx so much!

Mathematics

2 answers:

k0ka [10]3 years ago

4 0

Dce- 28
Fca-40
Triangle-12
Dce-4•7
Fca-10•4
Triangle-1/2(3)(8)

Ugo [173]3 years ago

3 0

Let's take this step by step. First, let's find the area of the triangle:
$A_t = \frac{1}{2}bh = \frac{1}{2}(13-7)(4+4)= \frac{1}{2}(6)(8) = 24cm^2$

Small rectangle:
$A = lw = 7*4 = 28cm^2$

Big rectangle:
$A = lw = 10*4 = 40 cm^2$

Let's add all the areas up:
$A_T = 24+28+40 = 92cm^2$

So, your answer is: The area of this figure is 92 cm².

You might be interested in

A training field is formed by joining a rectangle and two semicircles. The rectangle is 87 m long and 69 m wide. What is the len

liq [111]

Answer:

390.66 meters

Step-by-step explanation:

perimeter = 2(87) + 3.14(69)

= 174 + 216.66

= 390.66

4 0

3 years ago

Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa

Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, 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.

Mean 8.7% and standard deviation 20.2%.

This means that $\mu = 8.7, \sigma = 20.2$

40 years:

This means that $n = 40, s = \frac{20.2}{\sqrt{40}}$

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

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

By the Central Limit Theorem

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

$Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}$

$Z = 1.35$

$Z = 1.35$ has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

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

$Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}$

$Z = -0.22$

$Z = -0.22$ has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

8 0

2 years ago

Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state

ehidna [41]

Answer:

The answer is: the satement is FALSE.

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.
p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C) ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.

Download pdf

8 0

3 years ago

What is the solution for -10 < x - 9?

algol13

｡☆✼★ ━━━━━━━━━━━━━━ ☾

-10 < x - 9

Add 9 to both sides:

-1 < x

The correct answer would be option C

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

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7 0

3 years ago

Susan ran 4 miles in 20 minutes. How many minutes will she take to walk 3 miles

inn [45]

Answer: 15

Step-by-step explanation:

4/20 is your ratio. Simplify it and it'd be 1/5. This means in 1 mile has been walked in 5 minutes. 3 x 5 is 15, so it took Susan 15 minutes.

6 0

3 years ago