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3 years ago

Please Answer! Will mark Brainlist!

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

6 0

Answer:

x = 2 and x = 4

Step-by-step explanation:

Solutions are where those 2 equations intersect. (2, 2) and (4, -22)

So answer is x = 2 and x = 4

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9 is 25% of what number?

Black_prince [1.1K]

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

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3 years ago

Use your calculator to find an interval of length 0.01 that contains a root. (enter your answer using interval notation.)

allochka39001 [22]

Given a function, if you suspect a root lies near a specific point on the number line, you can evaluate the function at several nearby values and see whether the evaluation is positive or negative. Using a calculator, you should find two real numbers that are at distance 0.01 from one another, such that one real number evaluates positive, and the other evaluates negative. Then the interval between these values contains a root.

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4 years ago

Two different types of injection-molding machines are used toform plastic parts. A part is considered defective if it hasexcessi

erma4kov [3.2K]

Answer:

a) In hypothesis testing the null hypothesis is never accepted. It is rejected or not rejected. In this case, couldn't be rejected, so it is possible that both machines produce the same fraction of defective parts. It is reasonable to conclude that both machines produce the same fraction of defective parts, although this test doesn't conclude this.

b) P-value = 0.143

c) $-0.008\leq \pi_1-\pi_2\leq 0.054$

Step-by-step explanation:

In this problem we have to do a Test of Differences between Proportions

The first step is to state the null and alternative hypothesis

$H_0: \pi_1-\pi_2=0\\\\H_1: \pi_1-\pi_2\neq 0$

The null hypothesis represents the case where both machines are expected to produce the same amount of defective parts.

The second step is determine the significance level. In this case is α=0.05.

The third step is to calculate the difference in the proportions

$p_1-p_2=(15/300)-(8/300)=0.050-0.027=0.023$

The fourth step is to estimate the standard deviation of the difference between proportions.

$s_{p_1-p_2}=\sqrt{\frac{p(1-p)}{n_1} +\frac{p(1-p)}{n_2} }}$

As $n_1=n_2$ , we can calculate p as $p=(p_1+p_2)/2=(0.050+0.027)/2=0.0385$ .

Then:

$s_{p_1-p_2}=\sqrt{\frac{p(1-p)}{n_1} +\frac{p(1-p)}{n_2} }}\\\\s_{p_1-p_2}=\sqrt{\frac{2*0.0385(1-0.0385)}{300}}=0.0157$

The fifth step is to compute p, the probability (or probability value).

$z=(p_1-p_2)/s_{p_1-p_2}=0.023/0.0157= 1.465$

A z table can be used to find that the two-tailed probability value for a z=1.465 is P(x>|z|)=0.143.

The probability value (P-value) is 0.143. As it is bigger than the significance level (0.05), the effect is not significant. We can not reject the hypothesis.

To construct a 95% CI we can write:

$(p_1-p_2)-z*s_{p_1-p_2}\leq \pi_1-\pi_2\leq (p_1-p_2)+z*s_{p_1-p_2}$

For a 95% CI, z=1.96. The estimated standard deviation is the same calcaulated before. Now we can calculate:

$(p_1-p_2)-z*s_{p_1-p_2}\leq \pi_1-\pi_2\leq (p_1-p_2)+z*s_{p_1-p_2}\\\\(0.050-0.027)-1.96*0.0157\leq \pi_1-\pi_2\leq (0.050-0.027)+1.96*0.0157\\\\0.023-0.031\leq \pi_1-\pi_2\leq 0.023+0.031\\\\ -0.008\leq \pi_1-\pi_2\leq 0.054$

5 0

3 years ago

M +2p; use m = 2, and p = 4

Reil [10]

Answer:

Step-by-step explanation:

m + 2p

2 + 2(4)

= 2 + 8

= 10

5 0

3 years ago

Read 2 more answers

Consider an example of an apartment: The number of bedrooms, bathrooms, and the floor of an apartment determines its price. Whic

sertanlavr [38]

Answer: The price of the apartment.

Step-by-step explanation:

We know that for a given apartment, the number of bedrooms, bathrooms, and floor determines the price.

Then we could define the variables:

x = number of bedrooms.

y = number of bathrooms

z = floor.

And define the price of the apartment as a function of these variables:

p(x, y, z) = price

Then the independent variables are x, y, and z.

And the dependent variable (this is, the variable that changes in response to the changes in the independent variables) will be the price of the apartment.

3 0

3 years ago