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professor190 [17]
3 years ago
13

A collector has 160 movie posters and 120 band posters. She wants to sell 24 movie posters but still have her poster collection

maintain the same ratio of 160:120. If she sells 24 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

Step-by-step explanation:

The collector has 160 movie posters and 120 band posters.

She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120.

Total ratio = 160 + 120 = 280

If she sells 24 movie posters, it means

24 = 160/280 × x = 160x/280

Where x = total number of movie posters and band posters sold

24 × 280 = 160x

160x = 6720

x = 6720/160 =42

Number of band posters that she should sell = total number of both posters - number of movie posters.

Number of band posters that she should sell = 42-24 =18

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The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience h
Ganezh [65]

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

8 0
2 years ago
Need asapppp !!!!!!!
alina1380 [7]
X=70, y=55

The triangle is an isosceles triangles. In an isosceles triangle, the base angles are congruent.

Then use the triangle angle sum theorem and set the equation to 180.

55+55+x=180
110+x=180
x=70

The angle with 55 degrees and the angle with the variable y are alternate angles. Meaning they are congruent.
5 0
3 years ago
The surface area of a cube is 560,000 square centimeters. How many square meters is this?
tresset_1 [31]

Answer:

5,600 m^2

Step-by-step explanation:

a 1cm= 0.01m

560000(0.01)=5600

3 0
2 years ago
Read 2 more answers
A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card
timama [110]
<h3>The probability of picking a red face card from the deck  is (\frac{3}{26} )</h3><h3>The probability of NOT picking a red face card from the deck  is (\frac{23}{26} )</h3>

Step-by-step explanation:

The total number of cards in the deck  = 52

The total number of red( Diamond + Hearts)  face cards in the given deck

= 2 Red Queens +  2 Red jacks + 2 Red kings  = 6 cards

Let E : Event of picking a red face card from the deck

Now , P( any event)  = \frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}

So, here P(Picking a red face card)  = \frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} =  (\frac{6}{52} ) = (\frac{3}{26})

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Now, as we know P (any event NOT A)  = 1 - P(any event A)

So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)

= 1 - (\frac{3}{26} ) = \frac{26-3}{26}  = (\frac{23}{26})

Hence,  the probability of NOT picking a red face card from the deck  is (\frac{23}{26} )

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The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers?
andrew-mc [135]
Ok so its a guessing game

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so 40+10=50
6 0
3 years ago
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