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2 years ago

A recipe calls for 2 1/2 cups of flour to make 24 cookies.how many cups of flour is required to bake 30 cookies

Mathematics

1 answer:

Alex17521 [72]2 years ago

8 0

24 = 2/1/2 cups
1 cup = 9/3/5
30 = 3/1/8 cups

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Find the sample size required to achieve the given margin of error with SD = 51.02 and z - score = 1.96. Round your answer to th

coldgirl [10]

Answer:

The sample size required is 2500.

Step-by-step explanation:

z-score:

In function of the margin of error M, the z-score is given by:

$Z = \frac{M}{\frac{\sigma}{\sqrt{n}}} = \frac{M\sqrt{n}}{\sigma}$

In this question, we have that:

$\sigma = 51.02, M = 2, Z = 1.96$

$Z = \frac{M\sqrt{n}}{\sigma}$

$1.96 = \frac{2\sqrt{n}}{51.02}$

$2\sqrt{n} = 51.02*1.96$

$\sqrt{n} = \frac{51.02*1.96}{2}$

$(\sqrt{n})^2 = (\frac{51.02*1.96}{2})^2$

$n = 2500$

The sample size required is 2500.

3 0

2 years ago

Rose and Andrew are financing 128,000 to purchase a condominium. They obtained a 15 year fixed rate loan with a rate of 5.05%. T

anzhelika [568]

Amount Financed(P) = $ 128,000

Time = 15 year

Rate of interest= 5.05%

Amount after 15 years translates to,

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{5.05}{100})^{15}\\\\ =128,000 \times (1.0505)^{15}\\\\=128,000 \times 2.0938\\\\=268,009.890$

Rose and Andrew has taken four points to lower their rate to 4.81% .

Amount after 15 years translates to, if rate of interest is 4.83 %

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{4.83}{100})^{15}\\\\ =128,000 \times (1.0483)^{15}\\\\=128,000 \times 2.0290\\\\=259713.0404$

Cost of four points = 268,009.890 - 259,713.0404

= $8296.8496

3 0

2 years ago

Write the equation of the line in slope intercept form Slope=-4 Point=(2,-4)

Andrei [34K]

Answer:

y=2x-8

f(x)=2x-8

Step-by-step explanation:

To write in slope-intercept form using this information, first use the point slope formula.

y-y1=m(x-x1)

m is slope.

y+4=2(x-2)

Use distributive property on the right side.

y+4=2x-4

Now, subtract 4 from both sides.

y+4-4=2x-4-4

y=2x-8

Written using function notation:

f(x)=2x-8

Hope this helps!

If not, I am sorry.

5 0

1 year ago

Read 2 more answers

What's 80/100 times $90

Fofino [41]

Answer:

Step-by-step explanation:

Well to make life easier just simplify the fraction

80/100 could be simplified to 4/5

4/5*90 is 72

7 0

2 years ago

Read 2 more answers

What is the value of x? Enter your answer in the box. x = [ ]

zhenek [66]

<h2>Answer:</h2>

Since both angles are vertical angles, we need to set them equal to each other.

$2(x + 10) = 3x - 30\\\\2x + 20 = 3x - 30\\\\5x + 20 = 30\\\\5x = 50\\\\x = 10$

The final answer is <em>x = 10</em>.

4 0

2 years ago