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omeli [17]
4 years ago
14

A coyote had 10 pups in her third litter. It was twice as many as in her second litter, her second litter, and her second litter

had 3 more pups than her first. Find the number of pups in her litter

Mathematics
1 answer:
Yuki888 [10]4 years ago
6 0
A coyote had 10 pups in her third litter. (10)
It was twice as many as in her second litter,( 2( second litter) = third litter

her second litter had 3 more pups than her first.( first litter +3)=2nd litter

Find the number of pups in her litter

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Select the correct answer Consider functions p and q. p(x) = log₂ (x - 1) g(x) = 2^x - 1 Which statement is true about these fun
goldenfox [79]

The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.

<h3>What can we say about the x-intercepts of the given functions?</h3>

For a function f(x), the x-intercept is the value of x such that:

f(x) = 0.

Here we have:

p(x) = log₂(x - 1)

Remember that:

logₙ(1)  = 0

For any base n, then the x-intercept of p(x) is x = 2, because:

p(2) = log₂(2 - 1) = log₂(1) = 0.

The other function is:

g(x) = 2ˣ - 1

Remember that any number to the power of zero is equal to 1, then:

g(0) = 2⁰ - 1 = 1 - 1 = 0

The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.

If you want to learn more about x-intercepts:

brainly.com/question/3951754

#SPJ1

8 0
2 years ago
A study of drive-thru wait times for fast-food restaurants found that the average time spent Wendy's drive-thru was 138.5 second
OlgaM077 [116]

Answer:

207.72 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.

This means that \mu = 138.5, \sigma = 29

The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than

The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.

Z = \frac{X - \mu}{\sigma}

2.387 = \frac{X - 138.5}{29}

X - 138.5 = 2.387*29

X = 207.72

So the answer is 207.72 seconds.

6 0
3 years ago
During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes. Which proport
tangare [24]

Answer:

Option D - \frac{1}{4}=\frac{x}{300}

Step-by-step explanation:

Given : During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes.

To find : Which proportion could you use to find how many gifts can be wrapped at the same rate in 5 hours?

Solution :

We have given that,

In 4 minutes we wrap 1 box.

Let x be the number of gift wrap in 5 hours.

Convert 5 hours into minutes,

1 hour = 60 minute

5 hour = 5\times 60=300 minute

i.e. In 300 minute we wrap x box.

The proportion defined the same rate is given by,

\frac{1}{4}=\frac{x}{300}

When we solve the proportion,

x=\frac{300}{4}

x=75

Therefore, Option D is correct.

5 0
3 years ago
Item 12 Seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and tho
AysviL [449]

                                       so for this equation, I would do 7/8 = 72/x
1     72
-  =   -               
8     x

Cross multiply to get 72 * 8 = 1x
solve for X                   576 = x
8 0
3 years ago
Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers.
Taya2010 [7]

Answer:

Step-by-step explanation:

b

8 0
3 years ago
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