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3 years ago

Point O is on line segment \overline{NP} NP . Given OP=8OP=8 and NO=2,NO=2, determine the length \overline{NP}. NP

Mathematics

1 answer:

timama [110]3 years ago

4 0

Answer: The length of $\overline{NP}$ is 10 units.

Step-by-step explanation:

We are given that,

Point O is on line segment $\overline{NP}$ .

Then, $\overline{NP}=\overline{NO}+\overline{OP}$ (i)

Since we have given that OP=8 units and NO=2 units .

Now we will substitute these values in (i), we will get

$\overline{NP}=8\ units+2\ units\\\\\Rightarrow\ \overline{NP}=10\ units$

Hence, the length of $\overline{NP}$ is 10 units.

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find a parameterization for a circle of radius 3 with center (-4,4,1) in a plane parallel to the yz plane. write your parameteri

madam [21]

Answer:

Following are the solution to the question:

Step-by-step explanation:

$Radius= 3\\\\center= (-4,4,1)\\\\x(t)=-4\\\\y(t)=4+3 \cos \ t\\\\z(t)= 1+ 3 \sin \ t$

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3 years ago

For which sample size (n) and sample proportion (p) can a normal curve be

Nonamiya [84]

Answer:

Option c.

Step-by-step explanation:

Using the normal curve to approximate a sampling distribution:

For a sample size n and a proportion n, the normal curve can be used if:

$np \geq 10$ and $n(1-p) \geq 10$

Option a:

$np = 35*0.8 = 28 > 10$

$n(1-p) = 35*0.2 = 7 < 10$

So option a cannot be used.

Option b:

$np = 65*0.9 = 58.5 > 10$

$n(1-p) = 65*0.1 = 6.5 < 10$

So option b cannot be used.

Option c:

$np = 65*0.8 = 52 > 10$

$n(1-p) = 65*0.2 = 13 > 10$

So option c can be used, and is the answer

Option d:

$np = 35*0.9 = 31.5 > 10$

$n(1-p) = 35*0.1 = 3.5 < 10$

So option d cannot be used.

The answer is given by option c.

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3 years ago

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob

Blababa [14]

Question:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

Answer:

Robin’s basket is heavier than Ted’s basket by 2.75 ounces

Step-by-step explanation:

Given:

Ted’s basket contains = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains = 6 apples

Weight of each apple in Robin’s basket = 6 1/2 ounces

To Find:

Whose basket is heavier and by how much?

Solution:

Step 1: Finding the weight of Ted’s basket

Weight of Ted’s basket = Number of apple in the basket X Weight of each apple

Weight of Ted’s basket = $5 \times 7\frac{1}{4}$

Weight of Ted’s basket = $5 \times \frac{29}{4}$

Weight of Ted’s basket = $\frac{145}{4}$

Weight of Ted’s basket = 36.25 --------------------------------(1)

Step 2: Finding the weight of Robin’s basket

Weight of Robin’s basket = Number of apple in the basket X Weight of each apple

Weight of Robin’s basket = $6 \times 6\frac{1}{2}$

Weight of Robin’s basket = $6 \times \frac{13}{2}$

Weight of Robin’s basket = $\frac{78}{2}$

Weight of Robin’s basket = 39 ounces--------------------------(2)

Comparing equation (1) and (2)

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket > Weight of Ted’s basket

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3 years ago

Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2). Please

pochemuha

Well you would have to put 25 make in between 1,4, -2

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3 years ago

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Radda [10]

Answer:

$x^{2} +(y+3.2)^{2} =2.2^{2}$

Step-by-step explanation:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

The center is (h, k)

r is the radius

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4 years ago