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3 years ago

This is number the 2

Mathematics

1 answer:

Andru [333]3 years ago

4 0

Answer:

Step-by-step explanation:

I can see why you are having a little bit of trouble with this. The equation is not very well explained. I take it that y is the number of blooms total that each rose bush has. The "y intercept" is 4 which means that the bush has 4 blooms. In order to have just 4 blooms it means that x = 0 -- she hasn't added any fertilizer.

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Sally paid $17.10 for a bed after a 40% discount. How much money did she save?

olganol [36]

Answer: your life

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

The cost, in dollars, of manufacturing x microwaves is 6,000 + 300x dollars. The amount received when selling these x microwaves

densk [106]

Answer:

21 microwaves

Step-by-step explanation:

The net profile is equal to the income less the total cost, so the equation to the net profile NP is:

NP = 700x - (6000 + 300x)

Where 700x is the income and (6000+300x) is the cost of manufacturing.

Now, replacing NP by 2400 and solving for x, we get:

2400 = 700x - (6000 + 300x)

2400 = 700x - 6000 - 300x

2400 + 6000 = 400x

8400 = 400x

$\frac{8400}{400}=x\\ 21=x$

So, the least number of microwaves that must be manufactured and sold so that the net profit is $2400 is equal to 21.

4 0

4 years ago

23. A certain type of gasoline is supposed to have a mean octane rating of at least 90. Suppose measurements are taken on of 5 r

Nostrana [21]

Answer:

a) $p_v =P(Z$

b) Since $p_v$ we can reject the null hypothesis at the significance level given. So based on this we can commit type of Error I.

Because Type I error " is the rejection of a true null hypothesis".

c) $P(\bar X >90)=1-P(Z$

$1-P(Z$

d) For this case we need a z score that accumulates 0.02 of the area on the right tail and 0.98 on the left tail and this value is z=2.054

And we can use this formula:

$2.054=\frac{90-89}{\frac{0.8}{\sqrt{n}}}$

And if we solve for n we got:

$n = (\frac{2.054 *0.8}{1})^2=2.7 \approx 3$

Step-by-step explanation:

Previous concepts and data given

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

We can calculate the sample mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

$\bar X=88.96$ represent the sample mean

$s=1.011$ represent the sample standard deviation

n=5 represent the sample selected

$\alpha$ significance level

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less than 90, the system of hypothesis would be:

Null hypothesis: $\mu \geq 90$

Alternative hypothesis: $\mu < 90$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{88.96-90}{\frac{0.8}{\sqrt{5}}}=-2.907$

Part a

P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=5-1 = 4$

Then since is a left tailed test the p value would be:

$p_v =P(Z$

Part b

Since $p_v$ we can reject the null hypothesis at the significance level given. So based on this we can commit type of Error I.

Because Type I error " is the rejection of a true null hypothesis".

Part c

We want this probability:

$P(\bar X$

The best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X >90)=1-P(Z$

$1-P(Z$

Part d

For this case we need a z score that accumulates 0.02 of the area on the right tail and 0.98 on the left tail and this value is z=2.054

And we can use this formula:

$2.054=\frac{90-89}{\frac{0.8}{\sqrt{n}}}$

And if we solve for n we got:

$n = (\frac{2.054 *0.8}{1})^2=2.7 \approx 3$

7 0

3 years ago

An angle measures 150° more than the measure of its supplementary angle. What is the measure of each angle?

madreJ [45]

Answer:

Step-by-step explanation:

x - an angle

x - 150° - the angle's suplementary angle

Measure of suplementery angles adds to 180°

x + x - 150° = 180°

2x = 180° + 150°

2x = 330°

x = 330°÷2

x = 165°

x-150° = 165° = 150° = 15°

3 0

3 years ago

Zubin drew a circle with right triangle PRQ inscribed in it, as shown below: The figure shows a circle with points P, Q, and R o

iris [78.8K]

The measure of angle PQR when Zubin drew a circle with right triangle will be 65°.

<h3>How to find the measure of the angle?</h3>

From the information given, when Zubin drew a circle with right triangle, arc QR measures 50 degrees.

Therefore, the measure of angle PQR will be:

= 180° - 90° - (1/2 × 50°)

= 180° - 90° - 25°

= 65°

In conclusion, the angle is 65°.

Learn more about circle on:

brainly.com/question/24375372

7 0

2 years ago