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2 years ago

Jeff wants to spend at most $89 on his mom's birthday gifts. He already bought her a

Mathematics

1 answer:

Andrew [12]2 years ago

4 0

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago

The perimeter of a rectangle is 34 units. it's width is 6.5 units. Write an equation to determine the length of the rectangle

gayaneshka [121]

The equation would be 34x2+6.5x2

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2 years ago

One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the numbe

pshichka [43]

Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

$\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}$

If this helped you a Brainliest would be appreciated!

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3 years ago

Rhea earned P9,876.88 a month while Jane earned P10,675.50. How much more did Jane earn month than Rhea?

enot [183]

Don’t worry someone will come along and help you. Good luck and I hope you get it right

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2 years ago

Sami has 89 video games. He keeps 14 for himself and distributes the remaining video games to each

Natasha2012 [34]

Answer:

89=14-5x

Step by step

Because 14 is how many he keeps and x5 is how many he gives to his cousins in total

5 0

3 years ago