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3 years ago

Can some one help me set up an equation out of these word problems? PLEASE HELP!!!

Mathematics

2 answers:

charle [14.2K]3 years ago

7 0

Answer:

1 He spent 9 hours working

2. Her balance before she bought groceries is 83 + 294 = $ 377

3.He spent 16 × 3 = 48 minutes on his math homework.

4. Garden view hotel is 235 in height

Step-by-step explanation:

1. Sam spent 2/5 of his work day answering mail. He spent 3.6 hours answering email yesterday . To calculate how many hours he work let make the hours he worked yesterday = a

time he spent answering email

2/5 × a = 3.6

cross multiply

3.6 × 5 = 2a

18 = 2a

divide both sides by 2

a = 18/2

a = 9 hours

2. Elena was charged $ 83 from her credit card to buy groceries. Her final balance after buying groceries was $ 294. Her balance before she bought groceries is 83 + 294 = $ 377

3. Let say he spent a minutes long on science homework.

Time he spent on math homework = 3a

He spent a total of 64 minutes on math and sciences

3a + a = 64

4a =64

a = 64/4

a = 16

He spent 16 × 3 = 48 minutes on his math homework.

4.Let the plaza hotel height = a

garden view hotel height = b

2a - b = 17.........(i)

a + b = 361........(ii)

b = 361 - a

2a - (361 - a) = 17

2a - 361 + a = 17

3a = 17 + 361

3a = 378

divide both sides by 3

a = 378/3

a = 126

insertthe value of a in equation (ii)

a + b = 361........(ii)

126 + b = 361

b = 361 -126

b = 235

Elanso [62]3 years ago

5 0

1: 2/5=emails 3.6hrs=emails, 3.6=2/5 5-2=3 3.6•3=__hours of work

2. 294+83=$__

3. 3•x=hw 64/4=__•3=__hrs on math

4. Idk sorry

Sorry if some of these are wrong but I'm pretty sure there right.

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Simplify each expression.

Vitek1552 [10]

Answer:

a) putting the equation through each step the answer will be -118

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3 years ago

Of all the registered automobiles in a city, 12% fail the emissions test. Fourteen automobiles are selected at random to undergo

postnew [5]

Answer:

a) 0.1542

b) 0.7685

c) 0.2315

d) No, it is not unusual

Explanation:

The procedure to make the test meets the requirements of binomial experiments because:

there are two possible mutually exclusive outputs: fail the test, or pass the test.
the probability of each event remains constant during all the test (p=12% = 0.12, for failing the test, and 1-p = 88% = 0.88, for passing the test)
each trial (test) is independent of other trial.

Solution

(a) Find the probability that exactly three of them fail the test.

You want P(X=3)

Using the equation for discrete binomial experiments, the probability of exactly x successes is:

$P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}$

Substituting C(n,x) with its developed form, that is:

$P(X=x)=\dfrac{n!}{x!\cdot (n-x)!}\cdot p^x\cdot (1-p)^{(n-x)}$

Thus, you must use:

x = 3 (number of automobiles that fail the emissions test)
n = 14 (the number of automobiles selected to undergo the emissions test),
p = 0.12 (probability of failing the test; this is the success of the variable on our binomial experiment)
1 - p = 0.88 (probability of passing the test; this is the fail of the variable on our binomial experiment)

$P(X=3)=\dfrac{14!}{3!\cdot (14-3)!}\cdot 0.12^3\cdot 0.88^{11}=0.1542$

(b) Find the probability that fewer than three of them fail the test.

The probability that fewer than three of them fail the test is the probability that exactly 0, or exactly 1, or exactly 2 fail the test.

That is: P(X=0) + P(X=1) + P(X=2)

Using the same formula:

$P(X=0)=\dfrac{14!}{0!\cdot 14!}\times 0.12^0\cdot 0.88^{14}$

$P(X=0)=0.1670$

$P(X=1)=\dfrac{14!}{1!\cdot 13!}\cdot 0.12^1\cdot 0.88^{13}$

$P(X=1)=0.3188$

$P(X=2)=\dfrac{14!}{2!\cdot 12!}\codt0.12^2\cdot 0.88^{12}$

$P(X=2)=0.2826$

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.7685

(c) Find the probability that more than two of them fail the test.

The probability that more than two of them fail the test is equal to 1 less the probability that exactly 0, or exactly 1, or exactly 2 fail the test:

P( X > 2) = 1 - P( X = 0) - P(X = 1) - P(X = 2)

P X > 2) = 1 - [P(X=0) + P(X = 1) + P(X = 2)]

P (X > 2) = 1 - [0.7685]

P (X > 2) = 0.2315

(d) Would it be unusual for none of them to fail the test?

Remember that not failing the test is the fail of the binomial distribution. Thus, none of them failing the test is the same as all of them passing the test.

You can find the probability that all the automibles pass the emission tests by multiplying the probability of passing the test (0.88) 14 times.

Then, the probability that none of them to fail the test is equal to:

$(1-p)^{14}\\\\(0.88)^{14}=0.1671$

That means that the probability than none of the automobiles of the sample fail the test is 16.71%.

Unusual events are usually taken as events with a probability less than 5%. Thus, this event should not be considered as unusual.

5 0

3 years ago

I need help with number 20. Please be sure to explain. Thank You! There is a picture attached btw.

yan [13]

He should have added 1 to both sides to make the -1 on the right go to 0.
Then it would be 0 + m = -16 + 1 = -15
You can check your work by adding -1 and -15, which does in fact equal -16.
Hope this helped :)

3 0

4 years ago

Devin made 30 custom t-shirts to sell.He will donate 1/8 0f his total sales to a local charity. He sold all 30 t-shirts for $18

V125BC [204]

Answer:

Devin will donate $67.5 to charity.

Step-by-step explanation:

Given:

Devin made 30 custom t-shirts to sell.

He will donate 1/8 0f his total sales to a local charity.

He sold all 30 t-shirts for $18 each.

Now, to find the amount Devin donate to charity.

Total number of t-shirts = 30.

Each t-shirts sold at = $18.

So, total amount of 30 t-shirts sold:

$30\times 18$

$=\$540.$

As, Devin will donate $\frac{1}{8}$ of his total sales to a local charity.

Now, to get the amount he will donate to charity:

$\frac{1}{8} \ of\ \$540\\\\=\frac{1}{8} \times 540\\\\=\frac{540}{8}\\\\=\$67.5.$

Therefore, Devin will donate $67.5 to charity.

5 0

3 years ago

10 years ago Rapunzel had 19 centimeters of hair, now then years later her hair has grown to 20,193 centimeters long, how long h

ki77a [65]

To solve this problem, start by identifying Rapunzel’s current hair length.
This is:
20, 193 centimeters.

Next, find her initial hair length.
This is:
19 centimeters

To solve for the length that her hair has grown, you must subtract the initial length (the smallest value) from the current length (the largest value).
This results in:
20,193 - 19

Subtract to find your final answer.
This leaves you with:
20,174 centimeters.

So, Rapunzel’s hair has grown 20,174 cm in the past 10 years.

I hope this helps! :)

8 0

3 years ago

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