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Inga [223]
2 years ago
6

Ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate​

Mathematics
1 answer:
shusha [124]2 years ago
7 0

Answer:

he would walk 1 mile in 2 hours

Step-by-step explanation:

which is very slow tbh

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Which quantity is unknown
OleMash [197]

Answer:

The price of each book without sales tax

Step-by-step explanation:

8 0
2 years ago
If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard
Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is​ required?

A samle size of at least n is required, in which n is found when M = 3, \sigma = 20

So

M = z*\frac{\sigma}{\sqrt{n}}

3 = 1.96*\frac{20}{\sqrt{n}}

3\sqrt{n} = 20*1.96

\sqrt{n} = \frac{20*1.96}{3}

(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}

n = 170.7

Rouding up

The sample size required is at least 171

5 0
3 years ago
What is a career that you can use for adding and subtracting fractions
xenn [34]

Answer:

A math teacher

Step-by-step explanation:

6 0
3 years ago
A formula is expressed as D= a(2+kt). Express k in the terms of D, a and t? (Show work)
Mariulka [41]
SIMPLIFIED \: \: ALGEBRA \\ \\ \\\\We \: are \: given \: - \\ \\ \: \\ D \: = \: a \: ( \: 2 + kt \: ) \\ \\ D \: = \: 2a \: + \: akt \: \\ \\ D \: - \: 2a \: = \: akt \: \\ \\ \frac{D \: - \: 2a}{at} \: = \: k \\ \\ \\ Therefore \: , \: in \: terms \: of \: D \: , \: \: a \:, \: \: and \:  \: t \: \\ \\ k \: = \: \frac{D - 2a}{at \: } \: \: \: \: \: \: \: Ans.
7 0
3 years ago
In circle A, ∠BAE ≅ ∠DAE. What is the length of BE? 14 units 17 units 27 units 34 units
zhannawk [14.2K]

Answer:

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE

Line segments A B, A E, and A D are radii

Lines are drawn from point B to point E and from point E to point D to form secants B E and E D

The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

  including angles between them are equal, then the two

  triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

3 0
3 years ago
Read 2 more answers
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