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poizon [28]

Constant of proportionality is 4

equation: x/y = 4

explanation:
let's take 20 and 5 for example, if you divide 20 by 5, you will 4 of course. that's the proportionality for the first one. if you continue to divide x value by y value you will get 4. for the last two you would divide 28 by 4 and multiply 8 by 4.

5 0

3 years ago

Read 2 more answers

Any cookie jar 1/4 of the cookies or chocolate chip and 2/3 of the rest are peanut butter what fraction of all the cookies peanu

CaHeK987 [17]

Answer:

3/12

Step-by-step explanation:

5 0

3 years ago

For the function y = x + 4, what is the output value if 3 is the input value?

Leya [2.2K]

According to the data given above; x= 3..

y=x+4
y=3+4
y=7

7 0

3 years ago

If x = -2, then x 2-7x+10 equals a. 0 b.20 c.28

sveta [45]

ANSWER

C. 28

EXPLANATION

The given expression is

${x}^{2} - 7x + 10$

We want to evaluate this function at x=-2.

We just have to substitute x=-2 into the given expression.

In other words, we have to replace x with -2 wherever we see x in the expression

${( - 2)}^{2} - 7( - 2) + 10$

We evaluate the exponent to get

$4 - 7( - 2) + 10$

We multiply next to get:

$4 + 14+ 10$

We now add to obtain:

$28$

The correct answer is C

6 0

3 years ago

For a test of population proportion H0: p = 0.50, the z test statistic equals 1.05. Use 3 decimal places. (a) What is the p-valu

sergiy2304 [10]

Answer:

(a) The p-value of the test statistic is 0.147.

(b) The p-value of the test statistic is 0.294.

(c) The p-value of the test statistic is 0.8531.

(d) None of the p-values give strong evidence against the null hypothesis.

Step-by-step explanation:

The p-value is well defined as the probability,[under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.

The null hypothesis for the test of population proportion is defined as:

H₀: p = 0.50

The value of z-test statistic is,

z = 1.05

(a)

The alternate hypothesis is defined as:

Hₐ: p > 0.50

Compute the p-value of the test statistic as follows:

$p-value=P(Z>1.05)\\=1-P(Z$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.147.

(b)

The alternate hypothesis is defined as:

Hₐ: p ≠ 0.50

Compute the p-value of the test statistic as follows:

$p-value=2\times P(Z>1.05)\\=2\times 0.1469\\=0.2938\\\approx 0.294$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.294.

(c)

The alternate hypothesis is defined as:

Hₐ: p < 0.50

Compute the p-value of the test statistic as follows:

$p-value= P(Z1.05)=1- 0.1469\\=0.8531$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.8531.

(d)

The decision rule of the test is:

If the p-value of the test is less than the significance level α, then the null hypothesis is rejected at α% level of significance.

And if the p-value of the test is more than the significance level α, then the null hypothesis is failed to be rejected.

The most commonly used level of significance are:

α = 0.01, 0.05 and 0.10

The p-value for all the three alternate hypothesis are:

p-values = 0.147, 0.294 and 0.8531.

All the p-values are quite large compared to the α values.

Thus, none of the p-values give strong evidence against the null hypothesis.

The null hypothesis was failed to be rejected.

5 0

3 years ago