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Natalka [10]
2 years ago
5

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23

pine cones per wreath, how many wreaths can she make?
Mathematics
1 answer:
just olya [345]2 years ago
8 0

Answer:

18.7 wreaths

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

From the above question:

23 pine cones = 1 wreath

430 pine cones = x wreaths

Cross Multiply

23 pine cones × x wreaths = 430 pine cones × 1 wreath

x wreaths = 430 pine cones × 1 wreath/23 pine cones

x wreaths = 18.695652174 wreaths

Approximately = 18.7 wreaths

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Find the sale price when the original price is $37.00 and the discount rate is 44%.
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Find the range of the following piecewise function.
Anna11 [10]

Given:

The piecewise function is

f(x)=\begin{cases}x+4 & \text{ if } -4\leq x

To find:

The range of given piecewise function.

Solution:

Range is the set of output values.

Both functions f(x)=x+4 and f(x)=2x-1 as linear functions.

Starting value of f(x)=x+4 is at x=-4 and end value is at x=3.

Starting value: f(-4)=-4+4=0

End value: f(3)=3+4=7

Starting value of f(x)=2x-1 is at x=3 and end value is at x=6.

Starting value: f(3)=2(3)-1=5

End value: f(6)=2(6)-1=11

Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.

Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.

So, the range of the given piecewise function is [0,11).

Therefore, the correct option is A.

5 0
3 years ago
The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and sta
viktelen [127]

Answer:

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean = \mu = 15.50

Standard deviation = \sigma = 1.72

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula : z=\frac{x-\mu}{\sigma}

At x = 14

z=\frac{14-15.50}{1.72}

z=-0.8720

Refer the  z table for p value

P(x<14)=0.1922

At x = 16

z=\frac{16-15.50}{1.72}

z=0.290

Refer the  z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

4 0
3 years ago
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