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Vesna [10]
2 years ago
13

Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water to

Mathematics
1 answer:
aliya0001 [1]2 years ago
8 0

Answer:

10

Step-by-step explanation:

in total there are 10/4 mixture so if one pancake is 1/4 10 pancakes can be made

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A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a
storchak [24]

Answer:  267.

Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

n=0.25(\dfrac{z^*}{E})^2 , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96  [By z-table ] , we get

n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267

Hence, the required sample size is 267.

7 0
2 years ago
Mr. Deveney bought 4 DVDs for $25.20. What was the price per DVD?
ollegr [7]

Answer:

$6.30 per DVD

Step-by-step explanation:

25.20/4= 6.3

7 0
2 years ago
How would you use proportional relationships in real life situations? <br> Provide an example.
Shkiper50 [21]

proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.

4 0
2 years ago
Am I right ? <br> [[ PLEASE HELP IF I"M NOT CORRECT. EXPLAIN, SHOW DETAILS, ETC. ]]
Elena-2011 [213]

Answer:

D 12.57

Step-by-step explanation:

diameter = 4inches hence radius = 2inches

if the crust covers the full pizza "around", technically its the circumfrence

hence 2πr

2×π×2= 12.566 ~ 12.57

5 0
3 years ago
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​
PIT_PIT [208]

Answer:

The family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|} (1)

Where:

\theta - Angle between vectors, in sexagesimal degrees.

\|\vec a\|, \|\vec b \| - Norms of vectors \vec {a} and \vec{b}

If \theta is acute, then the cosine function is bounded between 0 a 1 and if we know that \vec {a} = (p, 3, -7) and \vec {b} = (p, -p, 4), then the possible values for p are:

Minimum (\cos \theta = 0)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0

Maximum (\cos \theta = 1)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1

With the help of a graphing tool we get the family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

7 0
2 years ago
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