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tiny-mole [99]
3 years ago
12

A recipe calls for 2/3 cups of butter to make 2 1/2 cups of sauce

Mathematics
1 answer:
aksik [14]3 years ago
3 0

Answer:

C

Step-by-step explanation:

THE ANSWER IS C

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What is the value of x?<br> sin 49° = COS X<br> Enter your answer in the box.<br> X =
Vitek1552 [10]

Answer:

x = 41°

Step-by-step explanation:

Using the cofunction identity

sinx = cos(90 - x) , then

sin49° = cos(90 - 49)° = cos49°

with x = 41°

3 0
3 years ago
Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a hist
Triss [41]

Answer:

The minimum number of subjects needed is 385.

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 level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

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

95% confidence level

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

95% confidence, within 5 percentage points, and a previous estimate is not known.

The sample size is n for which M = 0.05. We don't know the true proportion, so we use \pi = 0.5

Then

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

0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.05\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.05}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.05})^2

n = 384.16

Rounding up:

The minimum number of subjects needed is 385.

6 0
3 years ago
The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation of
san4es73 [151]
Omg what haha this is hard
6 0
3 years ago
In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 90% confidence level, the margin of er
ElenaW [278]

Answer:   The margin of error = 3\%

Step-by-step explanation:

Given

Sample size (n) = 1000

Population proportion = 0.4

\alpha = 1 - confidence level

  = 1 - 0.95

   = 0.05

margin\;  of\;  error = z_{\frac{\alpha }{2}}\sqrt{\frac{{\widehat{p}}{(1 -\widehat{p})}}{n}}

margin\;  of\;  error = z_{\frac{0.05 }{2}\sqrt{\frac{{(0.4)}{(1 -0.4)}}{1000}}

                             = z_{0.025}\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}

                             = 1.96\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}

                            =  0.03

The margin of error change to 2.5\% to 3\%

                             

                         

6 0
4 years ago
1.(8x+3)(4x-5) 2.(10x-2)(3x+6) please show your work will mark brainliest
ANEK [815]

Answer:

1)

32x^2 - 28x - 15

2)

30x^2 + 54x - 12

Step-by-step explanation:

1.

(8x+3)(4x-5)

Using FOIL

= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)

= 32x^2 - 40x + 12x - 15

= 32x^2 - 28x - 15

2.

(10x-2)(3x+6)

Using FOIL

= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)

= 30x^2 + 60x - 6x - 12

= 30x^2 + 54x - 12

8 0
3 years ago
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