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3 years ago

Solve the following equations 2a + 5 = 9a – 16

Mathematics

2 answers:

vitfil [10]3 years ago

4 0

2*a+5-(9*a-16)=0 witch equals a=3

shusha [124]3 years ago

3 0

2a+5=9a-16
2a+5+16=9a
2a+21=9a
21=9a-2a
21=7a
21/7=a
3=a

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Factor Completely 24+27v

tresset_1 [31]

Message me if i’m wrong i will try to fix my mistake <3

6 0

3 years ago

Help question on the image.

Simora [160]

Answer:

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

= 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.

The pot will not fit into the plant pot holder.

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You can use your calculator to find the free space around the pot by computing ...

20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

8 0

2 years ago

Express 30 km/h in m/s

n200080 [17]

Given - 30Km/hr

soution,

we know that

1 km = 1000 m

1 hr = 3600 second

Now

30km/hr = 30×1000÷3600

30Km/hr = 8.34 m/s

Answer - 8.34 m/s

5 0

3 years ago

1. Natoy's rectangular swimming pool has the length of 3m more than thrice its

snow_lady [41]

Answer:

Step-by-step explanation:

Given

Natoy's rectangular swimming pool has the length of 3m more than thrice its

width.

Width=w

Length =3w+3

Area of the rectangular swimming pool=length×width

216=(3w+3)×w

216=3w^2+3w

3w^2+3w-216=0

3(w^2+w-72)=0

W^2+w-72=0

W^2+(9-8)w-72=0

W^2+9w-8w-72=0

W(w+9)-8(w+9)=0

(W+9)(w-8)=0

Sotwo value of w are 8,-9

We take positive value for rectangular swimming so we take w=8m

Width=8m

Length=3×8+3

= 24+3

=27m

6 0

3 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: