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mamaluj [8]
3 years ago
10

Alicia took a friend for a birthday dinner. The total bill for dinner was $40.86 (including tax and a tip). If Alicia paid a 20.

7% tip, what was her bill before adding the tip?
PLEASE SHOW WORK
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

$33.85

Step-by-step explanation:

Let X be the initial bill:

(100 + 20.7)% of X was paid

120.7/100 × X = 40.86

X = 40.86 × 100/120.7

X = 33.85252693

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The vertices of the image of GHJK after a translation are given. Choose the vector that describes the translation.
Lady_Fox [76]

Answer:

Option B

Step-by-step explanation:

Let's take a vertex G of quadrilateral GHJK to understand the rule for the translation,

From the graph attached,

Coordinates of G → (-5, 5)

Coordinates of the image point G' after the translation → G'(-5, 5)

Let the point G is translated 'a' units to the right and 'b' units down,

Rule for this translation,

G(x, y) → G'(x + a, y - a)

By this rule,

G(-5, 5) → G'(-5 + a, 5 - a)

-5 + a = -5 ⇒ a = 0

5 - a = 5 ⇒ a = 0

Therefore, vector that defines the translation will be,

<0, 0>

Option B is the the correct option.

8 0
3 years ago
The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard devia
My name is Ann [436]

Answer:

|t| =|-0.96|=0.96< 2.718

since calculated' t' value is less than tabulated value 't'.

we accept null hypothesis at 1 % level of significance.

The data support the claim that the mean cost of a daily news paper is  $1.00

Step-by-step explanation:

<u>Step:-(1)</u>

Given the sample size n = 12

Given Twelve costs yield a mean cost of $0.95 with a standard deviation of $0.18

mean of the sample(x⁻) = $0.95

Standard deviation of sample (S) = $0.18

Given claim that the mean cost of a daily newspaper is $1.00.

The mean of the population 'μ' =  $1.00.

<u>Null hypothesis:</u>-H₀:'μ' =  $1.00.

<u>Alternative hypothesis</u>: H₁:'μ' ≠  $1.00.

<u>level of significance ∝ = 0.01</u>

<u>Step2:-</u>

<u>The test statistic </u>

t = \frac{x^{-}-u_{0}  }{\frac{S}{\sqrt{n} } }

t = \frac{0.95-1 }{\frac{0.18}{\sqrt{12} } }

on calculation, we get

t = -0.96

|t| =|-0.96|=0.96

Degrees of freedom γ = n-1 = 12-1 =11

tₐ =  2.718

Calculated value t = 0.96

Tabulated value t at 0.01 level for 11 degrees for two tailed test = 2.718

since calculated' t' value is less than tabulated value 't'.

<u>conclusion</u>:-

<u>we accept null hypothesis at 1 % level of significance.</u>

<u>The data support the claim that the mean cost of a daily news paper is  $1.00</u>

3 0
3 years ago
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