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3 years ago

A store had 88 diet sodas.The ratio of diet sodas to regular sodas was 8:4.How many regular sodas were there?

Mathematics

1 answer:

miss Akunina [59]3 years ago

8 0

Answer:

Step-by-step explanation:

diet : regular = 8:4

=> 88:44

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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:

The estimate is $- 0.0265\le K \le 0.0465$

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

Denise makes three times as many chocolate cupcakes as vanilla. She makes three dozen strawberry cupcakes. Total cupcakes are 13

san4es73 [151]

Answer:

Step-by-step explanation:

6 0

3 years ago

What is the complement of 57?

umka21 [38]

Complements are numbers that add 90. Since one is 57, the other has to add to 57. So 33 would add with 57 to get 90.

4 0

2 years ago

If 4x−3=2x+9, then x= ?

son4ous [18]

Answer:

$4x - 2x = 9 + 3$

$2x = 12$

$x = \frac{12}{2}$

$x = 6$

Hope it helps u mate

7 0

3 years ago

Read 2 more answers

YOOOO I NEED HELP on this too and do these

Rus_ich [418]

Answer:

8. 504ft²

9. 4970yd² (rounded to 3 s.f.)

Formulas (For easy reference):

Area of rectangle = length × breadth

Area of circle = pi×r×r

Circumference of circle = pi×r×2

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Step-by-step explanation:

8. You know a box has 6 sides, and there are 3 types of surfaces that are different from each other, and you have to multiply each side by 2 cus there are the front and backside (You can draw the box with its dimensions to see the 3 types of surfaces and why I multiplied by 2):

(2×12×6) + (2×12×10) + (2×6×10) = 144 + 240 + 120

= 504ft²

9. The net of a cylinder contains two circles of radius 24yd and one long sheet to wrap around the circles with the length that is the circumference of the circle (so that it can wrap around the two circles) and a width which is the height of the cylinder (9yd).

2 Circles = 2×pi×24×24

= 1152pi

Long sheet = 9×24×2×pi

= 432pi

Now we can add all of them together:

432pi+1152pi = 1584pi

= 4970yd² (rounded to 3 s.f.)

3 0

2 years ago

Read 2 more answers