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2 years ago

length of rope measures 8 3/4 km. If a piece of rope measuring 2 1/2 km was cut off, what length of rope remained? *

Mathematics

2 answers:

Fantom [35]2 years ago

6 0

Answer:

4 m divided by 8 = 4/8 m = 1/2 m

1 m = 100 cm, so 1/2 m = 50 cm

Each piece will be 1/2 m long or 50 cm long.

k0ka [10]2 years ago

4 0

Answer:

6 1/4 simplified 25/4 decimal 6.25

Step-by-step explanation:

if the rope is 8 3/4 and you took away a piece that is equal to 2 1/2 which means you subtract them from each other to get your final answer of 6 1/4

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What’s the value of x?

son4ous [18]

180 - 53 - 96 = 31°. you know the angles are 53 and 96 degrees because the triangles are congruent via SAS congruency.

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3 years ago

Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of

Mila [183]

Answer:

C. 0.1

Step-by-step explanation:

The sum of the probabilities of all possible events must equal 1.

Since there is no probability of purchasing two vehicles ore more, the events are:

- Purchase a new vehicle (0.5)

- Purchase a used vehicle (0.4)

- Purchase no vehicle at all (x)

The probability of not purchasing a vehicle is:

$x=1-0.5-0.4\\x=0.1$

The probability that you purchase no vehicle at all is: C. 0.1

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3 years ago

What is the price per ounce for 10 ounces and the cost is $1.75

ollegr [7]

Answer:

The price per ounce is $0.175.

Step-by-step explanation:

Given:

Number of ounces = 10

Price of 10 ounces = $1.75

We know that, from unitary method, price of a unit quantity is given as:

$\textrm{Unit rate}=\frac{\textrm{Total price}}{\textrm{Number of quantities}}$

Here, the number of quantities correspond to the number of ounces.

Total price corresponds to the price of the 10 ounces which is $1.75.

Now, unit rate or price per ounce is given as:

Price per ounce = $\frac{1.75}{10}$

Price per ounce = $0.175

Therefore, the price per ounce is $0.175.

3 0

3 years ago

Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po

mina [271]

Answer:

(a) The point estimate for the population proportion p is 0.34.

(b) The margin of error for the 99% confidence interval of population proportion p is 0.055.

Step-by-step explanation:

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean $\bar x$ is a point estimate of the population mean μ.

Similarly, the the point estimate of the population proportion of a characteristic, p is the sample proportion $\hat p$ .

The (1 - α)% confidence interval for the population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

$\hat p=0.34\\n=500\\(1-\alpha)\%=99\%$

(a)

Compute the point estimate for the population proportion p as follows:

Point estimate of p = $\hat p$ = 0.34

Thus, the point estimate for the population proportion p is 0.34.

(b)

The critical value of z for 99% confidence level is:

$z={\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table for the value.

Compute the margin of error for the 99% confidence interval of population proportion p as follows:

$MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=2.58\sqrt{\frac{0.34(1-0.34)}{500}}$

$=2.58\times 0.0212\\=0.055$

Thus, the margin of error for the 99% confidence interval of population proportion p is 0.055.

(c)

Compute the 99% confidence interval of population proportion p as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$CI=\hat p\pm MOE$

$=0.34\pm 0.055\\=(0.285, 0.395)$

Thus, the 99% confidence interval of population proportion p is (0.285, 0.395).

6 0

3 years ago

Is a right triangle. If AC = 15 and BC = 17, find AB.

ivanzaharov [21]

There is only case if ∠c=90
then Δ ACB is right angle triangle.

(hyp)^2=(base)^2+(height)^2
(AB)^2=(15)^2+(17)^2

8 0

3 years ago

Read 2 more answers

length of rope measures 8 3/4 km. If a piece of rope measuring 2 1/2 km was cut off, what length of rope remained? *​

length of rope measures 8 3/4 km. If a piece of rope measuring 2 1/2 km was cut off, what length of rope remained? *