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3 years ago

Solve the equation need help ASAP 48 points

Mathematics

1 answer:

creativ13 [48]3 years ago

7 0

Answer:

x = 0, -3, 3

Step-by-step explanation:

When f(x) = 0, this means the y-coordinate is 0. Look at the graph to see where f(x) intersects at y = 0.

It intersects at (-3, 0), (0, 0), and (3, 0).

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A rental company charges a flat fee of $200 plus $50 per day. Create a linear function to represent where f(x) is the total cost

VARVARA [1.3K]

Y=50x+200

Hope that helps!

7 0

3 years ago

What is the total weight of 6 bags of groceries

nata0808 [166]

Answer:

7.5KG

Step-by-step explanation:

6 0

2 years ago

A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately

Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

$z=\frac{\bar x-\mu}{\sigma/\sqrt N}$

where

$\bar x=mean\; of\;the \;sample$

$\mu=mean\; established\; in\; H_0$

$\sigma=standard \; deviation$

N = size of the sample.

So,

$z=\frac{185-175}{20/\sqrt {10}}=1.5811$

$\boxed {z=1.5811}$

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of 1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of 1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is

$\boxed {p=0.057}$

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

Step 1

Compute $\bar x_{critical}$

$1.64=z_{critical}=\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}$

$\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}=\frac{\bar x_{critical}-175}{6.3245}=1.64\Rightarrow \bar x_{critical}=185.3721$

So we would make a Type II error if our sample mean is less than 185.3721.

Step 2

Compute the probability that your sample mean is less than 185.3711

$P(\bar x < 185.3711)=P(z< \frac{185.3711-185}{6.3245})=P(z$

So, the probability of making a Type II error is 0.5234 = 52.34%

The power of a hypothesis test is 1 minus the probability of a Type II error. So, the power of the test is

1 - 0.5234 = 0.4766

3 0

3 years ago

I need help asap....

bonufazy [111]

Answer:

Step-by-step explanation:

From the given picture,

Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4

To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3

Statements Reasons

1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given

2). ∠1 ≅ ∠2 2). Vertical angle theorem

3). ∠1 ≅ ∠4 3). Given

4). ∠1 ≅ ∠3 4). Corresponding angle theorem

5). ∠4 ≅ ∠3 5). Transitive property of congruence

5 0

3 years ago

What is the value of c? 14=2c−6+3c14 Enter your answer in the box.

disa [49]

14=2c-6+3c14, we can re-write it as

14=2c-6+42c

14+6=44c

c=20/44 in fraction form OR 0.45 in decimal form.

4 0

3 years ago