Find the value of x.

Nadeem plans to ride her bike between 12 mi and 15 mi. write and solve an inequality to model how many hours Nadeem will be writ

beks73 [17]

Answer:

Ok, so Nadeem will be riding at least 12, which means 12 or more miles.......and less than or equal to 15 miles.

So, if the number of miles she rides is x, then the inequality is:12 ≤ x ≤ 15

Step-by-step explanation:

8 0

3 years ago

WHAT IS THE SURFACE AREA OF A RECTANGULAR PRISM WITH A LENGTH OF 12 CM, A WIDTH OF 6 CM AND A HEIGHT OF 4 CM

frozen [14]

Area = Length x width

$12cm \times 6cm = 72cm^{2}$

Hope this helps. - M

6 0

4 years ago

Read 2 more answers

Given: △ABC, BC>AC, D∈ AC , CD=CB Prove: m∠ABD is acute

nevsk [136]

I want you to imagine as you read this or you can draw through the help of my explanation and see yourself:

1↪Draw triangle ABC where BC>AC

2↪D is any point on AC such that CD=CB

3↪Roughly drawing , you can assume CD=CB and and join BD

4↪SO triangle ABC which is a big triangle is divided into Triangles ABD and BDC

5↪See in triangle BDC ,CD=CB so, base angles of isosceles triangle are equal:
<CDB=<CBD = x (assume) which means x is acute angle since CDB and CBD are are in same triangle with same measure and there can't be any two obtuse angle in any traingle. So x must be acute.

6↪Now see in traingle ABD,

<ADB=180-<CDB=180-x=obtuse angle
...check yourself ...just subtract any acute angle from 180 you will get only obtuse angle (ie angle greater than 90)
That means in triangle ABD , one angle ADB is obtuse which means remaining <ABD and < BAD are acute. [PROVED]

❇Main Concept Used Here:
↪In any triangle there can be maximum of one obtuse angle...so remaining two must be acute angle otherwise interior angles sum can't be equal to 180.

5 0

3 years ago

Plz need help really fast will give brainlist IF CAN. NO LINKS OR BIT WEBSITES OR FILES

Korolek [52]

Answer:

30 plants.

Step-by-step explanation:

Elizabeth has 1 and 7/10 as many plants as Rosalie, so she has more plants than her, since the fraction is greater than one. So that means you need to take the number of plants Elizabeth has and divide it by the fraction.

51 / (1 7/10) = 30

To do this, remember to make both sides into a mixed number fraction, flip the second fraction, and then multiply them together. So 1 and 7/10 becomes 17/10 and 51 becomes 51/1. Then flip 17/10 and multiply.

51/1 * (10/17) = 510/17

Then simplify.

510/17 = 30

Hope this helps.

3 0

2 years ago

Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she

Anarel [89]

Answer:

$P(3.25 < \bar X < 4.25)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\sigma_{\bar X}}$

And using the z score we have:

$P(\frac{3.5-4}{0.3}< Z< \frac{4.25-4}{0.3}) = P(-1.667< Z< 0.833)$

And we can use the normal standard distribution table or excel in order to find the probabilities and we got:

$P(-1.667< Z< 0.833)= P(Z$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the time it takes her to complete one review, and for this case we know the distribution for X is given by:

$X \sim N(4,1.2)$

Where $\mu=4$ and $\sigma=1.2$

And we select a sample size of n =16. Since the dsitribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by: