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1 year ago

The question in the picture below.

Mathematics

2 answers:

Maksim231197 [3]1 year ago

7 0

1 6/8 bags because when you add 14 to 1/8 once you get to 8/8 you have 6 left then it’s 1 6/8

Alexandra [31]1 year ago

3 0

Answer:

1 $\frac{6}{8}$ bags

Step-by-step explanation:

Since Amar is cooking pasta for 14 people we can multiple the 14 by the 1/8 because it is 1/8 per person. Therefore, we get 14/8 and that can be changed in 1 and 6/8. Thus, the answer comes out the be 1 (6/8) bags.

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Volume of a cone = r²h,

inessss [21]

Answer:

7.5 m 457.5 $\pi$ $m^{2}$

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = $\frac{1}{3} \pi r^{2}h$ .

Original Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *7.5^{2}*50$ = 937.5 $\pi$

Smaller Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *6^{2}*40$ = 480 $\pi$

Frustum = 937.5 $\pi$ - 480 $\pi$ = 457.5 $\pi$

6 0

1 year ago

Help omg if so thank you.

Goshia [24]

Answer:

Step-by-step explanation:

49*5/7

=35

7 0

2 years ago

Read 2 more answers

What is f(g(x)) when f(x) = x2 + 5, and g(x) = 10 - 5x?

Mashutka [201]

Answer:

Step-by-step explanation:

To obtain f(g(x)) substitute x = g(x) into f(x), that is

f(10 - 5x)

= (10 - 5x)² + 5 ← expand (10 - 5x)²

= 100 - 50x - 50x + 25x² + 5 ← collect like terms

= 25x² - 100x + 105 → D

5 0

2 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:

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

The formula for the area of a circle is a= 2Ïr^2. how does the value for a change when r increases

ivann1987 [24]

The radius is half the diameter of the circle. If the radius gets larger then the whole circle grows. When the circle gets larger, the area gets larger too.

6 0

2 years ago