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klio [65]
2 years ago
13

Three children each had the same amount of money withdrew from their savings accounts. One of the children withdrew a quarter of

his money and spent it all on a $25 T-shirt. What was the total amount of money originally in the accounts?
Mathematics
1 answer:
aivan3 [116]2 years ago
8 0

Answer:

Each Children had \$ 100 in their accounts.

Step-by-step explanation:

Given:

Three children each had the same amount of money withdrew from their savings accounts.

One of the children withdrew a quarter of his money and spent it all on a $25 T-shirt

Solution:

Let the total money in the account be x

One of the children withdrew a quarter of his money= \frac{1}{4} \times x= \$25

x=$25\times4= $100

∴ Each Children had \$ 100 in their accounts.

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure.
Alona [7]

Answer:

Step-by-step explanation:

Hello!

The monitoring system warn the driver when the tire pressure of the vehicle is 28% below target pressure.

Be X: target tire pressure of a certain car (pounds per square inch)

a)

X= 28 psi

If the monitoring system will warn the driver when the pressure is 28% below the target pressure: X-0.28X

First step, you have to calculate the 28% of 28psi

28*0.28= 7.84

Second step, is to subtract the calculated 28% to the target pressure:

28 - 7.84= 20.16

The TPMS will trigger a warning at 20.16 psi.

b)

If X~N(μ;σ²)

μ= 28psi (since the average is on target, then the target pressure for the car will be the average value of the distribution)

σ= 3psi

P(X≤20.16)

The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.

So to calculate each of the asked probabilities, you have to first, "transform" the value of the variable to a value of the standard normal distribution Z, then you use the standard normal tables to reach the corresponding probability.

Z= (X-μ)/σ= (20.16-28)/3= -2.61

Now you have to look for the corresponding value of probability using the Z-table. Since the value is negative you have to the use the left entry of the Z-table, in the first column you'll find the integer and first decimal of the value -2.6- and in the first row you'll find the second decimal value -.-1

The value of probability that corresponds to -2.61 is:

P(Z≤-2.61)= 0.005

c)

You have to calculate the probability of inspecting a tire at random and it being inflated within recommended range, symbolically this is:

P(30≤X≤26)= P(X≤30)-P(X≤26)

Calculate both Z values:

Z= (30-28)/3= 0.67

Z= (26-28)/3= -0.67

P(Z≤0.67)-P(Z≤-0.67)= 0.749 - 0.251= 0.498

The probability of the tire being inflated within recommended inflation range is 0.498.

I hope this helps!

5 0
2 years ago
Pete corporation produces bags of peanuts. It's fixed cost is $18,900. Each bag sells for $2.17 with a unit cost of $1.27. What
pentagon [3]

Answer:

in units: 18,900

in dollars: $ 41,013

Step-by-step explanation:

The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units }

Where:

\frac{Contribution \: Margin}{Sales \: Revenue} = Contribution \: Margin \: Ratio

<em><u>Contribution margin:</u></em>

2.17 - 1.27 = 1 dollar per unit

Break even:

$18,900 fixed cost /  $1 per unit = 18,900 units

Then, in sales:

18,900 x $2.17 each = 41.013‬

break even point:

3 0
2 years ago
Read 2 more answers
Which of the following notations correctly describe the end behavior of the polynomial graphed below
Irina18 [472]
The answer is B
To visualize this, think of the first line as saying "As x approaches negative infinity, f(x) (or just y) approaches __".  As the graph goes left, it goes up: so, as x approaches negative infinity, f(x) approaches infinity.  As the graph goes right, it goes down: so, as x approaches infinity, f(x) approaches negative infinity.
5 0
2 years ago
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The table summarizes the scoring of a football game between Team A and Team B. A touchdown (TD) is worth 6 points, a field goal
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If you would like to find the final score, you can do this using the following steps:

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The final score of team A is 26 points and the final score of team B is 40 points.
3 0
2 years ago
Eli is thinking of two numbers. If you add them, the answer is 13. If you subtract them, the answer is 3. What is one of the two
lesantik [10]
Substract 3 from the total and divide it with 2
one of them is 5 and the other one is 8.
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