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2 years ago

ASAP HELP! Look how much im offering, congruent shapes.

Mathematics

1 answer:

dmitriy555 [2]2 years ago

7 0

Answer:

D. 7.5 inches

Step-by-step explanation:

So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.

So, 18/6 = 3

Big:small = 3:1

So, using this we can make an equation to find AD.

Let's say ED=x.

AD is basically ED (x) + AE (5).

Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.

So, $\frac{x+5}{x}$ =3.

Multiply both sides by x, getting x+5 = 3x.

Subtract the x: -x -x

And you get 5=2x, giving you 2.5 = x.

However, we're not done yet, as 2.5 is the value of ED, but we need AD.

Remember, AD is = ED + AE.

So, AD = 2.5 + 5.

Finally, AD = 7.5

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You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

svetoff [14.1K]

Answer:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0

3 years ago

Shelby's Ice Cream Shop sold 8 sundaes with nuts and 4 sundaes without nuts. What is the ratio of the number of sundaes with nut

Romashka-Z-Leto [24]

Answer: 2:1

Step-by-step explanation:

The ratio of A to B is given by : $\dfrac{A}{B}$ or A : B .

Given : sundaes with nuts = 4

sundaes without nuts = 8

The ratio of the number of sundaes with nuts to the number of sundaes without nuts = $\dfrac{8}{4}=\dfrac{2}{1}\ \ \ [\text{Divide numerator and denominator by 4 }]$

= 2:1

hence, the required ratio = 2:1 .

3 0

3 years ago

On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond

babymother [125]

Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

- the river is polluted and the test is correct

- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0

3 years ago

A grocery store recently sold 10 cartons of yogurt, of which 5 were raspberry. What is the experimental probability that the nex

Greeley [361]

Answer:

mijuhygtfr

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Solve for x<br> 8x = y<br> PLEASE HELPPPPPP

svlad2 [7]

Hi ;-)

$8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}$

6 0

3 years ago

Read 2 more answers