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3 years ago

Find the values of x and y.

Mathematics

1 answer:

hodyreva [135]3 years ago

8 0

Answer:

C, (x = 100, y = 10)

Step-by-step explanation:

hi again,

(2x - 70) = (x + 30), by the Alternate Exterior Angles

x - 70 = 30

x = 100

(2x - 70) + 5y = 180, by the Linear Pair Theorem

2(100) - 70 + 5y = 180

200 - 70 + 5y = 180

130 + 5y = 180

5y = 50

y = 10

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The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. A 4-column tab

In-s [12.5K]

Answer: 100/400

Step-by-step explanation:

$\begin{array}{l|c|c|c}&Liquid&Not\ Liquid&Total\\ Bar&200&100&300\\Not\ Bar&80&20&100\\Total&280&120&400\end{array}$

$\dfrac{Not\ Bar:Total}{Total:Total}\quad =\dfrac{100}{400}$

4 0

3 years ago

Please help me somebody!!! I really struggle with this in math class!

Tresset [83]

Answer:

$y - 9 = -\frac{4}{3}(x - 3)$

Step-by-step explanation:

Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.

In order to solve for the slope (m ), use the following formula:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) = (3, 9)

(x₂, y₂) = (9, 1)

Substitute these values into the given formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 9)/(9 - 3)

$m = \frac{-8}{6} = \frac{-4}{3}$

Therefore, the slope of the line, m = -4/3.

Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

$y - 9 = -\frac{4}{3}(x - 3)$ ⇒ This is the point-slope form.

4 0

2 years ago

How many times must we toss a coin to ensure that a 0.95-confidence interval for the probability of heads on a single toss has l

musickatia [10]

Answer:

(1) 97

(2) 385

(3) 9604

Step-by-step explanation:

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 margin of error in this interval is:

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

The formula to compute the sample size is:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}$

(1)

Given:

$\hat p = 0.50\\MOE=0.1\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.1^{2}}\\=96.04\\\approx97$

Thus, the minimum sample size required is 97.

(2)

Given:

$\hat p = 0.50\\MOE=0.05\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.05^{2}}\\=384.16\\\approx385$

Thus, the minimum sample size required is 385.

(3)

Given:

$\hat p = 0.50\\MOE=0.01\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.01^{2}}\\=9604$

Thus, the minimum sample size required is 9604.

8 0

3 years ago

X - 6< 3 please help

Viktor [21]

Answer:

x<9

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability

kirza4 [7]

Complete question:

A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability

distribution below?

Grade(X)_____ 1_____2_____3_____4_____5

Frequency____3 _____5____ 9 ____ 5 ____ 3

P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1

Answer:

Step-by-step explanation:

Given the probability distribution :

Grade(X)_____ 1_____2_____3_____4_____5

Frequency____3 _____5____ 9 ____ 5 ____ 3

P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1

The mean of the distribution :

Σ(X * P(X)) :

(1*0. 1) + (2 * 0.2) + (3 * 0.4) + (4 * 0.2) + (5 * 0.1)

0.1 + 0.4 + 1.2 + 0.8 + 0.5

= 3

7 0

3 years ago