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polet [3.4K]
2 years ago
6

Write 640 : 30 in the lowest form.

Mathematics
1 answer:
OLga [1]2 years ago
6 0

Answer:

should be 64:3

Step-by-step explanation:

divide by 10

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1. The vector v has a magnitude of 11 millimeters and a direction angle of 75 degrees. Write the component AND linear
aliina [53]

Answer:

MAGNITUDE

Step-by-step explanation:

4 0
2 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
today a boat valued at $45,000.Thebvalue is expected to decrease at a rate of 8.5% each year.What is the value of the boat expec
Stels [109]

Current value of the boat = $45000

Rate at which the value decrease = 8.5%

Value decreased after 1 year = \frac{8.5}{100}\times45000=3825

Hence, value becomes = 45000-3825=41175

Value decreased after 2nd year =

\frac{8.5}{100}\times41175=3499.875

Hence, value becomes = 41175-3499.875=37675.125

Value decreased after 3 year =

\frac{8.5}{100}\times37675.125=3202.385

Hence, value becomes = 37675.125-3202.385=34472.74

So, value of the boat after 3 years becomes $34472.74

3 0
3 years ago
Which graph shows the solution to the inequality −2(2x+3)≤26?
krok68 [10]

Answer:

x≥−8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4x−6≤26

Step 2: Add 6 to both sides.

−4x−6+6≤26+6

−4x≤32

Step 3: Divide both sides by -4.

−4x/−4 ≤ 32/−4

x≥−8

5 0
2 years ago
Please Help with angles!
777dan777 [17]

Step-by-step explanation:

003:

To solve this, we'll be using the Pythagorean theorem, a^2+b^2=c^2

a^2+8^2=15^2\\a^2+64=225\\a^2=161\\a = \sqrt{161}

004:

For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/\sqrt{161}.

005:

From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be \sqrt{161}/15.

Answer:

003: \sqrt{161}

004: 8/\sqrt{161}

005: \sqrt{161}/15

7 0
3 years ago
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