All categories

2 years ago

Can someone please help me with this question asap!?

Mathematics

1 answer:

katovenus [111]2 years ago

3 0

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

HJ = 23.5 in

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

Take HJ = a, GH = b and GJ = c

a = b + 2

c = a + b - 17

a + b + c = 73

put the value of a from equation 1 in equation 2

c = (b + 2) + b − 17

c = 2b − 15

now, put the value of a and c in equation 3

b + 2 + b + 2b − 15 = 73

4b − 13 = 73

4b = 86

b = 21.5 in

Now, we need to find HJ (a)

a = b + 2

a = 21.5 + 2

a = 23.5 in

${ \qquad \large \sf {Conclusion} :}$

HJ = 23.5 in

You might be interested in

The simple interest earned on deposit of $3,000 at 6% for 5 years?

KIM [24]

$3900.................

5 0

3 years ago

Read 2 more answers

What is the square root of 25? =7

nataly862011 [7]

Square root of 25 is 5

4 0

3 years ago

Read 2 more answers

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which

spayn [35]

The inequality is solved, and then, the graph is given at the end of this question.

------------------

87 tickets have already been sold.
x can still be sold.
In total, the number of tickets sold is 87 + x.
The airplane can seat 175 passengers, thus, the total can be at most 175, that is:

$87 + x \leq 175$

$x \leq 175 - 87$

$x \leq 88$

The solution is given on a graph at the end of this answer.

A similar problem is given at brainly.com/question/24132092

7 0

2 years ago

A center for medical services reported that there were 295,000 appeals for hospitalization and other services. For this group, 4

pshichka [43]

Answer:

a) 0.0025 = 0.25% probability that none of the appeals will be successful.

b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.

c) 0.9768 = 97.68% probability that at least two of the appeals will be successful

Step-by-step explanation:

For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, 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.

45% of first-round appeals were successful.

This means that $p = 0.45$

Suppose 10 first-round appeals have just been received by a Medicare appeals office.

This means that $n = 10$

(a) Compute the probability that none of the appeals will be successful.

This is P(X = 0).

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

$P(X = 0) = C_{10,0}.(0.45)^{0}.(0.55)^{10} = 0.0025$

0.0025 = 0.25% probability that none of the appeals will be successful.

(b) Compute the probability that exactly one of the appeals will be successful.

This is P(X = 1).

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

$P(X = 1) = C_{10,1}.(0.45)^{1}.(0.55)^{9} = 0.0207$

0.0207 = 2.07% probability that exactly one of the appeals will be successful.

(c) What is the probability that at least two of the appeals will be successful

This is $P(X \geq 2)$

Either less than two appeals are succesful, or at least two are. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0025 + 0.0207 = 0.0232$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0232 = 0.9768$

0.9768 = 97.68% probability that at least two of the appeals will be successful

6 0

3 years ago

A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, ho

tankabanditka [31]

Answer:

You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Step-by-step explanation:

With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:

30 cups of orange juice → 18 cups of pineapple juice

1 cup of orange juice → x

x=(1*18)/30=0.6 cups of pineapple juice

According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

5 0

3 years ago