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dezoksy [38]
3 years ago
11

Every sunny day, the Always Philadelphia Bakery bakes 100 cakes and 60 muffins. In any other weather, it bakes 40 cakes and 120

muffins per day. This April, the Always Philadelphia Bakery made the same number of cakes as muffins. How many of this April’s 30 days were sunny?
Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

Answer:


Step-by-step explanation:

For All Sweets Bakery, the daily sales ratio of bread to cakes is 5:2. ... more loaves of bread on Tuesday than its daily sale of 40 loaves, how many cakes were ... twice as much sugar as milk, eight times more milk than baking powder and twice ... and convert the ratios to 15 cookies : 10 cupcakes and 15 cookies : 18 pastries.

DanielleElmas [232]3 years ago
7 0

Answer:

20 days

Step-by-step explanation:

Let x be the # of sunny days.

100x + 40(30-x) = 60x + 120(30-x)

x=20

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What would be the actual length, if the length of the model is 25 ft and the scale factor is less
Sidana [21]

Answer:

20ft

Explanation:

You multiply the model length by the scale factor to find the actual length. <u>If the scale factor is less than zero, then the actual size will be smaller than the model</u>. Therefore, your answer would be 20ft.

Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

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3 years ago
A truck drove 208 miles on 5 gallons of gas. How far should it be able to go on a full, 11-gallon tank?
nexus9112 [7]

Answer:

457.6

Step-by-step explanation:

if he drove 208 on 5 gallons, 208/5 =41.6 miles per gallon. 41.6*11= 457.6

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2 years ago
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The Earth is approximately a sphere of diameter 12742 km. The surface area of a sphere is given by the formula A = 4π r2 Calcula
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Answer:

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3 years ago
Degree 3 polynomial with zeros -7, 3i, and -3i
d1i1m1o1n [39]

A polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

In this question, we need to find the polynomial whose degree is 3 polynomial and zeros are -7, 3i, and -3i

The zeros of the required polynomial = -7, 3i, and -3i

This means, the roots of the polynomial = (x + 7), (x - 3i) and (x + 3i)

We know that in complex numbers, i = √-1

So, 3i = 3√-1

          = √-9

i.e., the roots of the polynomial are (x + 7), (x - √-9) and (x + √-9)

And the polynomial would be,

(x + 7)(x - √-9)(x + √-9)

= (x + 7)(x² - (√-9)²)

= (x + 7)(x² - (-9))

= (x + 7)(x² + 9)

=  x³+ 7x² - 9x - 63

Therefore, a polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

Learn more about the polynomial here:

brainly.com/question/14344049

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4 0
1 year ago
A journal published a study of the lifestyles of visually impaired students. Using diaries, the students kept track of several v
Serga [27]

Answer:

a) P(X

b) P(8 \leq X\leq 10) = 0.3640

c) x = 8.89 -0.842(2.11)=7.11

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=8.89,\sigma=2.11)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

a. Find P(x < 6). P(x < 6) = (Round to four decimal places as needed.)

In order to find this probability we can use the z score given by this formula

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

And if we use this we got this:

P(X

b. Find P(8 < x < 10)  = (Round to four decimal places as needed.)

P(8 \leq X\leq 10) = P(\frac{8-8.89}{2.11} \leq Z< \frac{10-8.89}{2.11})=P(-0.422 \leq Z\leq 0.526)=P(Z

c. Find the value a for which P(x < a) = 0.2. (Round to two decimal places as needed.)

For this case we can use the definition of z score given by:

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

First we need to find a z score that accumulates 0.2 of the area on the left tail, and the z score on this case is z=-0.842. and using this z score we can solve for x like this:

-0.842=\frac{x-8.89}{2.11}

And if we solve for x we got:

x = 8.89 -0.842(2.11)=7.11

And that would be the value required for this case.

6 0
3 years ago
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