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2 years ago

5

The regular price for a sweater is $48. The store is having a buy one get one 1/2 off sale. If you buy 4 sweaters for that price

, what will be your total price of all 4 sweaters?

1 answer:

arsen [322]2 years ago

4 0

48+48(the two sweaters you pay full price for)+48(the two half off sweaters are 24$ a piece) so your total for all four sweaters is 144$

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What is answer for 10+(3+4-6+8) by using order of operation

Zina [86]

Answer:

The value of given expression is 19.

Step-by-step explanation:

The given expression is

$10+(3+4-6+8)$

According to the rule of BODMAS the order of operations is Bracket, Of, Division, Multiplication, Addition and Subtraction.

First we have to simplify the value of bracket.

$10+(3+4-6+8)=10+(15-6)$

$10+(3+4-6+8)=10+9$

$10+(3+4-6+8)=19$

Therefore the value of given expression is 19.

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2 years ago

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Pete is a politician. He claims that 32% of the households in his district have total household incomes below the poverty level.

victus00 [196]

Answer:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

Step-by-step explanation:

Information given

n=225 represent the sample selected

X=87 represent the households with incomes below the poverty level

$\hat p=\frac{87}{225}=0.3867$ estimated proportion of households with incomes below the poverty level

$p_o=0.32$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if the true proportion is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic is given bY:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

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3 years ago

Point (8 5) was translated as follows (8 5) (2.9) A student wrote the algebraic rule to desenbe the translation

MAVERICK [17]

Answer:

A.

Step-by-step explanation:

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2 years ago

devlian [24]

Answer:

<u>Identities used:</u>

<em>1/cosθ = secθ</em>
<em>1/sinθ = cosecθ</em>
<em>sinθ/cosθ = tanθ</em>
<em>cosθ/sinθ = cotθ</em>
<em>sin²θ + cos²θ = 1</em>

<h3>Question 1 </h3>

(1 - sinθ)/(1 + sinθ) =
(1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
(1 - sinθ)² / (1 - sin²θ) =
(1 - sinθ)² / cos²θ

<u>Square root of it is:</u>

(1 - sinθ)/ cosθ =
1/cosθ - sinθ / cosθ =
secθ - tanθ

<h3>Question 2 </h3>

<u>The first part without root:</u>

(1 + cosθ) / (1 - cosθ) =
(1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
(1 + cosθ)² / (1 - cos²θ) =
(1 + cosθ)² / sin²θ

<u>Its square root is:</u>

(1 + cosθ) / sinθ =
1/sinθ + cosθ/sinθ =
cosecθ + cotθ

<u>The second part without root:</u>

(1 - cosθ) / (1 + cosθ) =
(1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
(1 - cosθ)²/ (1 - cos²θ) =
(1 - cosθ)²/sin²θ

<u>Its square root is:</u>

(1 - cosθ) / sinθ =
1/sinθ - cosθ / sinθ =
cosecθ - cotθ

<u>Sum of the results:</u>

cosecθ + cotθ + cosecθ - cotθ =
2cosecθ

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adell [148]

400 Imperial pints are less than 100 Imperial gallons,
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