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marissa [1.9K]
3 years ago
14

16. At the same time a 10-foot pole casts a 22-foot shadow,

Mathematics
1 answer:
const2013 [10]3 years ago
3 0

Answer:

iik

Step-by-step explanation:

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40% of 125 is what number?
Hatshy [7]
The answer is 32


Solution for 40 is what percent of 125:

40:125*100 =

( 40*100):125 =

4000:125 = 32

Now we have: 40 is what percent of 125 = 32

Question: 40 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=125$100%=125​.

Step 4: In the same vein, $x\%=40$x%=40​.

Step 5: This gives us a pair of simple equations:

$100\%=125(1)$100%=125(1)​.

$x\%=40(2)$x%=40(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{125}{40}$
100%
x%​=
125
40​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40}{125}$
x%
100%​=
40
125​​

$\Rightarrow x=32\%$⇒x=32%​

Therefore, $40$40​ is $32\%$32%​ of $125$125​.
7 0
4 years ago
Read 2 more answers
Firdaus measured the length of the wall and got 9 feet her cousin measured the same distance and said that it was three what uni
Dahasolnce [82]

Answer:

Her cousin used Yard  to measure the wall.

Step-by-step explanation:

Firdaus measured the length of the wall and got 9 feet.

Her cousin measured the same distance and said that it was 3.

To find the answer, we have to use division.

Let "x" the divisor which divide 9 and gives the answer 3.

9 ÷ x = 3

3x = 9

To find x (divisor) we need to divide both sides by 3, we get

3x ÷ 3 = 9 ÷ 3

x = 3

So  1 unit cousin's measure = 3 feet Firdaus measure

We know that 1 yard = 3 feet.

Therefore, her cousin used Yard measure to measure the wall.

7 0
3 years ago
Pls ill give brainelist
goblinko [34]

Answer:

Vertical angle

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The probability that a lab specimen contains high levels of contamination is 0.14. A group of 4 independent samples are checked.
Shtirlitz [24]

Answer:

a) 0.5470 = 54.70% probability that none contain high levels of contamination.

b) 0.3562 = 35.62% probability that exactly one contains high levels of contamination.

c) 0.4530 = 45.30% probability that at least one contains high levels of contamination.

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain high levels of contamination, or they do not. The samples are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a lab specimen contains high levels of contamination is 0.14.

This means that p = 0.14

A group of 4 independent samples are checked.

This means that n = 4

(a) What is the probability that none contain high levels of contamination?

This is P(X = 0)

P(X = 0) = C_{4,0}.(0.14)^{0}.(0.86)^{4} = 0.5470

0.5470 = 54.70% probability that none contain high levels of contamination.

(b) What is the probability that exactly one contains high levels of contamination?

This is P(X = 1)

P(X = 1) = C_{4,1}.(0.14)^{1}.(0.86)^{3} = 0.3562

0.3562 = 35.62% probability that exactly one contains high levels of contamination.

(c) What is the probability that at least one contains high levels of contamination?

Either none of the samples contain high levels of contamination, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want to find P(X \geq 1). So

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5470 = 0.4530

0.4530 = 45.30% probability that at least one contains high levels of contamination.

8 0
3 years ago
Help me please thanks in advance
Xelga [282]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

From up to down ;

_________________________________

The first box :

f(n) = 3. ({2})^{n - 1}

The second box :

f(n) = 2. ({4})^{n - 1}

The third box :

f(n) = 2. ({6})^{n - 1}

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

4 0
3 years ago
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