All categories

3 years ago

Decrease 9809821 by 60000

1 answer:

7 0

Hi!
The answer is 9749821.
I did 9809821 - 6000.
I hope this answer helps!
I would love it if you helped me with my question too!

You might be interested in

Vance weighs 250 pounds and is losing 5 pounds each month. Phillip weighs 200 pounds

Lelu [443]

Answer:

250-5m=200+4m ; 5.56 months

Step-by-step explanation:

Let's start this question by writing two expressions that depict the situation.

Vance: 250-5m

This simply means that Vance currently weighs 250 pounds, and every month he is losing 5 pounds. (m=number of months)

Phillip: 200+4m

This is essentially the same thing. Phillips starting weight is 200, but here we use an addition sign because he is gaining 4 pounds every month as opposed to losing it.

To find the number of months it'll take for them to weigh the same, we just need to equate the values and solve for m.

Our equation would then be:

250-5m=200+4m

Let's solve the equation by bringing the variables to one side and the numbers to the other.

250-5m=200+4m

Subtract 4m from both sides

250-5m-4m=200+4m-4m

250-9m=200

Subtract 250 from both sides

250-250-9m=200-250

-9m=-50

Divide both sides by -9

m=5.556

So it will take about 5 months and a half to weigh the same.

3 0

2 years ago

In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of

Gwar [14]

We can use the Сosine formula to solve this problem.
First we must find the third side (АС) of the triangle:

$AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx 12.67 \ cm$

The smallest angle of the triangle lies opposite the smallest side, so we need to find m∠C.

$cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC} \\ \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx 0.7804$

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°

I hope this helps

7 0

4 years ago

You are testing the null hypothesis that the population proportion equals .45, using data you collected from a sample of 100 adu

Sedaia [141]

Answer:

$z=\frac{0.3 -0.45}{\sqrt{\frac{0.45(1-0.45)}{100}}}=-3.015$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.3$ estimated proportion of interest

$p_o=0.45$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.45.:

Null hypothesis: $p=0.45$

Alternative hypothesis: $p \neq 0.45$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .