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3 years ago

Which ratio is equivalent to 6 : 32?

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

6 0

IT IS 3:16!!!! THANKS GANGSTA. THANKS FOOOOL $$$$$$$$$$$$$$$$$

makvit [3.9K]3 years ago

5 0

The ratio equivalent to 6 : 32 can be determined by determining the greatest common factor of the two numbers. In this case, the greatest common factor of 6 and 32 is equal to 2. Hence we divide each number by 2. The answer to this problem is 3 : 16.

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1. The data given below includes data from 42 candies, and 7 of them are red. The company that makes the candy claims that 33%

jeyben [28]

Answer:

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The true proportion of red candies made by the company is different from 33%.

Step-by-step explanation:

The hypothesis to determine whether the claim made by the candy company is correct or not is:

H₀: The true proportion of red candies made by the company is 33%, i.e. p = 0.33.

Hₐ: The true proportion of red candies made by the company is different from 33%, i.e. p ≠ 0.33.

A (1 - α)% confidence interval can be constructed to check this claim.

The decision rule is:

If the confidence interval consists the null value then the null hypothesis will not be rejected. Otherwise it will be rejected.

The (1 - α)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

n = 42

X = number of red candies = 7

Compute the sample proportion of candies that are red as follows:

$\hat p=\frac{X}{n}=\frac{7}{42}=0.167$

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Compute the 95% confidence interval for true proportion of red candies as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.167\pm 1.96\times \sqrt{\frac{0.167(1-0.167)}{42}}\\=0.16\pm0.1137\\=(0.0463, 0.2737)\\\approx(0.05, 0.27)$

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The confidence interval does not contains the null value.

Thus, the null hypothesis will be rejected at 5% level of significance.

Conclusion:

The true proportion of red candies made by the company is different from 33%.

7 0

3 years ago

No work needed!! Just answers, thank you! 25 points!!

Maurinko [17]

Answer:

Step-by-step explanation:

$S_{31} = 9 \cdot 31 + [-0.5 \cdot \frac{31(31-1)}{2}] = 46.5$

$S_{40} = 40 + [-3 \cdot \frac{40(40-1)}{2}] = -2300$

3 0

3 years ago

Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu

irga5000 [103]

We want to find a scalar function $f(x,y)$ such that $\nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j$ .
So we need to have
$\dfrac{\partial f}{\partial x}=3+4xy^2$
Integrating both sides with respect to $x$ gives
$f(x,y)=3x+2x^2y^2+g(y)$
Differentiating with respect to $y$ gives
$\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y$ $\implies\dfrac{\mathrm dg}{\mathrm dy}=0$ $\implies g(y)=C$
So we find that
$f(x,y)=3x+2x^2y^2+C$
By the fundamental theorem of calculus, we then know the line integral depends only on the values of $f(x,y)$ at the endpoints of the path. Therefore

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6$

4 0

3 years ago

If mZDEC = (12x - 3), mZBCE =

kati45 [8]

Answer:

Step-by-step explanation:

12x - 3 = 180 - (7x - 26) supplementary angles

19x = 209

x = 11

m∠DEC = 12(11) - 3 = 129°

m∠BCE = 7(11) - 26 = 51°

M∠ADE = 129 - 72 = 57° exterior angle rule

m∠EDB = 180 - 57 = 123° supplementary angles

m∠DBC = 57° corresponding angle to ADE

3 0

3 years ago

Brenna owns 9 T-shirts, 3 of which are red.

Ulleksa [173]

Answer:

1/3

Step-by-step explanation:

9 Shirts, 3 are Red

Probability: 3/9

Simplify: 1/3

5 0

3 years ago