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20 days ago

5

The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di

gits.

1 answer:

babunello [8.4K]20 days ago

6 0

Answer

Length measured with Ruler A= 1.17 dm

Length measured with Ruler B= 1.18 dm

Step-by-step explanation:

I included a missing image that shows the pencil's length as measured using two rulers.

Ruler A has a scale marked at 1 dm intervals.

Ruler B has a scale marked at 0.1 dm intervals.

Length measured with Ruler A= 1.17 dm

(The middle markings reveal that the pencil tip lies between 1 and 1.25, slightly above 1.125 but below 1.25, positioning it around 1.2 and 1.125 dm, approximately half of 1.25, which is 1.125, plus an increment of one of the three halves of that half, which gives 1.125+0.045 dm thus concluding to 1.17 dm.)

Length measured with Ruler B= 1.18 dm

(The pencil tip appears just shy of 1.2 dm, confirming the precise value is clearly 1.18 and not 1.19 dm.)

Tip: When unsure about the exact measure, it’s advisable to estimate one extra decimal beyond what the ruler presents.

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A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio

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Answer:

The average for the sampling distribution of the sample proportion is 0.29

The standard deviation for this sampling distribution is 0.01435

Step-by-step explanation:

The mean of the sampling distribution for the sample proportion equals the actual population proportion, which is p = 0.29 in this scenario.

The standard deviation for the sampling distribution of the sample proportion is computed as follows;

$\sqrt{\frac{p(1-p)}{n} }$

Utilizing the provided values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation computes to;

$\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\$

Thus, the standard deviation is 0.01435.

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21 day ago

Two fifths of the square of the number j in algebraic exprission

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Two-fifths ( $\frac{2}{5}$ ) of the square of the variable j (j²)

$\frac{2}{5}$ j²

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1 month ago

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David read 69 books in a 12-month period. Sarah read 54 books in the same period of time. How many more books per month did Davi

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David has read 15 additional books.

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26 days ago

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Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =

tester [8820]

Answer:

Attached is the question in consideration.

$m\angle CEA =90 \ (deg)$

$m\angle BEF=135\ (deg)$

$\angle CEF$ forms a straight line.

$\angle AEF$ depicts a right triangle.

The options $1,4,5,6$ represent the correct answers.

Step-by-step explanation:

⇒ Given that $\ ray\ AE$ is ⊥ $FEC$ it constitutes a right triangle, leading to $m\angle CEA =90\ (deg)$ .

⇒ The measure for $\angle BEF =135\ (deg)$ equals $\angle BEF =\angle AEB +\angle AEF = (45+90)=135\ (deg)$ as $\angle AEB$ bisects $\angle AEC$ , implying that $\angle AEB$ is half of $\angle AEC$ , thus $\angle AEB = 45\ (deg)$ .

⇒ $\angle CEF$ represents a straight line, as the angle measures across it yield $180\ (deg)$ .

⇒ The angle measure for $\angle AEF = 90\ (deg)$ is derived from the linear pair concept.

Since $\angle CEA + \angle AEF = 180\ (deg)$ , inserting the values of $m\angle CEA =90\ (deg)$ leads to $\angle AEF = 90\ (deg)$ .

The other two options are incorrect as:

$m\angle CEF=m\angle CEA + m\angle BEF = (90+135)=225$

it surpasses $180\ (deg)$ while $\angle CEF$ is a

straight line.

Also, $m\angle CEB=2(m\angle CEA)$ is inaccurate.

As $\angle CEA = 90\ (deg)$ and $\angle CEB=45\ (deg)$

Thus, we have a total $4$ valid answers.

The confirmed options are $1,4,5,6$ .

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It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

$(x,y)\rightarrow (0.75x,0.75y)$

Consequently, the first statement holds true.

Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.

Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

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