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Gelneren [198K]
3 years ago
12

Betsy made ribbons for school spirit day. Her roll was 30 ft. Long. For each individual ribbon she needed 0.625 ft. How many rib

bons could she make from roll
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Divide the total amount of ribbon by the length of each individual ribbon:

30 ft / 0.625 ft = 48

She can make 48 ribbons.

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Rzqust [24]
C I’m pretty sure that’s what is it
7 0
3 years ago
Alang owns a small business selling ice-cream. He knows that in the last week 62
anzhelika [568]

Step-by-step explanation:

last week there were

62 + 60 + 2 = 124 customers.

that means that the fraction of the customers, who paid by credit card, was

2/124 = 1/62

in situations like that, when we use history data and try to predict future behavior, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/62, if customers to use credit cards.

for the absolute number of predicted credit card customers we multiply the predicted number of customers by the expected fraction

1000 × 1/62 = 500/31 = 16.12903226... ≈ 16

so, he expects 16 credit card customers.

5 0
2 years ago
Give the equation of the line that is perpendicular to y= (1/2)x -1 and passes through the point (3,4)
nexus9112 [7]

Answer: y = -2x + 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if the two lines are perpendicular , then m_{1}m_{2} = -1

The equation of the line given :

y = 1/2x - 1

comparing with the equation of line in slope intercept form

y = mx + c , where m is the slope and c is the y - intercept , it implies that

m_{1} = 1/2

Therefore :

m_{2} = -2

To find the equation of the line with slope -2  and passes through the point ( 3 , 4 ) we will use the formula

y-y_{1} = m (x-x_{1} )

y - 4 = -2 ( x - 3 )

y - 4 = -2x + 6

y = -2x + 6 + 4

y = -2x + 10

7 0
3 years ago
Silicon wafers are scored and then broken into the many small microchips that will he mounted into circuits. Two breaking method
antoniya [11.8K]

Answer:

a

The estimate is  - 0.0265\le  K \le  0.0465

b

Method B this is because the faulty breaks are less

Step-by-step explanation:

The number of microchips broken in method A is  n_1 = 400

The number of faulty breaks of method A is  X_1 = 32

 The number of microchips broken in method B is  n_2  = 400

 The number of faulty breaks of method A is  X_2 = 32

  The proportion of the faulty breaks to the total breaks in method A is

       p_1 = \frac{32}{400}

      p_1 = 0.08

 The proportion of the faulty to the total breaks in method B is

      p_2 =  \frac{28}{400}

     p_2 =  0.07

For this estimation the standard error is  

      SE =  \sqrt{ \frac{p_1 (1 - p_1)}{n_1}  + \frac{p_2 (1- p_2 )}{n_2} } }

  substituting values

       SE =  \sqrt{ \frac{0.08 (1 - 0.08)}{400}  + \frac{0.07 (1- 0.07 )}{400} } }

      SE = 0.0186

The z-values of confidence coefficient of 0.95 from the z-table is  

       z_{0.95} =  1.96

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as

        K = [p_1 - p_2 ] \pm z_{0.95} * SE

substituting values

        K = [0.08 - 0.07 ] \pm 1.96 *0.0186

         K  =  - 0.0265 \ or  \ K  =  0.0465

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is  

      - 0.0265\le  K \le  0.0465

3 0
2 years ago
Kyla used 550 grams of wool to knit a sweater, a hat, and a scarf. For the hat she used 5 times less wool than the sweater and 5
Brrunno [24]
This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
 therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g
5 0
3 years ago
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