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3 years ago

Grade 6 - End of term assessment

Mathematics

1 answer:

sertanlavr [38]3 years ago

5 0

Answer:

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

Step-by-step explanation:

Given

Total length of one roll of ribbon = 9 feet

As the pieces have to be cut into inches, we will convert the measurement in feet to inches

As there are 12 inches in one feet, 9 feet will be equal to:

9*12 = 108 inches

Now first of all, we have to see how many 15 inches pieces can be cut from one role

So,

$=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2$

So the seamstress can cut 7 15-inch long pieces from a roll.

Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:

$= 5 * 7 =35$

Hence,

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

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In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.5 mm. Someone says that th

Travka [436]

Answer:

This statement can be made with a level of confidence of 97.72%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.1 mm

Standard Deviation, σ = 0.5 mm

Sample size, n = 100

We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.5}{\sqrt{100}} = 0.05$

P(mean thickness is less than 8.2 mm)

P(x < 8.2)

$P( x < 8.2)\\\\ = P( z < \displaystyle\frac{8.2 - 8.1}{0.05})\\\\ = P(z < 2)$

Calculation the value from standard normal z table, we have,

$P(x < 8.2) =0.9772 = 97.72\%$

This statement can be made with a level of confidence of 97.72%.

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4 years ago

(a+b)2 ;a=1/2 and b=2

FrozenT [24]

Answer:

$\frac{25}{4}$

Step-by-step explanation:

a + b = $\frac{1}{2}$ + 2 = 2 $\frac{1}{2}$ = $\frac{5}{2}$ , thus

(a + b)² = ( $\frac{5}{2}$ )² = $\frac{5}{2}$ × $\frac{5}{2}$ = $\frac{5(5)}{2(2)}$ = $\frac{25}{4}$

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3 years ago

Read 2 more answers

What is the standard deviation of the data? 0.5 1.5 2.0 2.5

vesna_86 [32]

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = $\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}$

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = $\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}$

Solving:

= $\frac{1.265625+0.015625+0.140625+0.765625}{4}$

= $\frac{2.1875}{4}$

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

$\sqrt{0.546875}$

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

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2 years ago

Find the volume of the prism? Heights-12 and 13 bottoms- 6 and 5

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Answer:180

Step-by-step explanation:

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3 years ago

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ycow [4]

I believe the answer is 59/10 or 5.9/10

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3 years ago