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ankoles [38]
3 years ago
10

Two ingredients in a recipe are 2 1/2 cups of flour and 1 1/2 cups of sugar. of june keeps the proportion the same, how many cup

s of flour should she add to 4 cups of sugar
Mathematics
1 answer:
MrRa [10]3 years ago
3 0
If 2 1/2 cups of flour=1 1/2 cups of sugar
                              ?=4 cups of sugar
4/ 1 1/2*2 1/2=6 2/3 
Therefore she should add 6 2/3 cups of flour to 4 cups of sugar
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vichka [17]

Answer:

Death Valley California

C(t) = -0.30 (0)² + 40

C(t) = 40

C(t) = -0.30 (12)² + 40t – 12)2 + 40

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7 0
2 years ago
What is the area of a rectangle that has side lengths of 3/4 yard and 5/6 yard
Ahat [919]

We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.

We know that area of rectangle is width times length.

To find the area of the given rectangle we will multiply both side lengths as:

\text{Area of rectangle}=\text{Width}\times \text{Length}

\text{Area of rectangle}=\frac{3}{4}\text{ yard}\times\frac{5}{6}\text{ yard}

\text{Area of rectangle}=\frac{3}{4}\times\frac{5}{6}\text{ yard}^2

\text{Area of rectangle}=\frac{1}{4}\times\frac{5}{2}\text{ yard}^2

\text{Area of rectangle}=\frac{1\times5}{4\times2}\text{ yard}^2

\text{Area of rectangle}=\frac{5}{8}\text{ yard}^2

Therefore, the area of the given rectangle would be \frac{5}{8} square yards.

5 0
3 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
3 years ago
Suppose y varies directly with x when x is 4, y is 32. What is y when x is -2
omeli [17]

Step-by-step explanation:

Since y varies directly with x,

y = kx, where k is a real constant.

When x = 4, y = 32.

=> (32) = (4)k, k = 8.

Therefore when x = -2,

y = kx = (8)(-2) = -16.

3 0
3 years ago
168 is what per cent of 420
vladimir2022 [97]

<em>420×p% = 168</em>

<em>420p/100 = 168</em>

<em>420p = 16800</em>

<em>p = 16800/420</em>

<em>p = 40%</em>

<em />

4 0
3 years ago
Read 2 more answers
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