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3 years ago

7

The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second numbe

r?

1 answer:

Oksana_A [137]3 years ago

6 0

Answer:

Step-by-step explanation:

8

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A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

<em>Let </em> $\hat p$ <em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = true proportion = 0.04

n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be less than 0.03 is given by = P( $\hat p$ < 0.03)

P( $\hat p$ < 0.03) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } }$ ) = P(Z < -1.27) = 1 - P(Z $\leq$ 1.27)

= 1 - 0.89796 = 0.10204

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0

3 years ago

suppose that a severe virus in impacting a bee colony and the population of bees has a half life of 5 days What percentage of th

BartSMP [9]

So we want to know what percentage of bees would survive a virus after 19 days of decay if the bee population has a half life of 5 days. So every 5 days 50% of bees die. Lets say that N is the number of bees before the virus. So after 5 days is 50% less bees, so 50% of N remains. After another 5 days again, 50% bees die, and 50% out of 50% is 25%. So after 10 days, 25% of bees remain or 25%N or 0.25*N. After another 5 days its 12.5 % of bees remain or 0.125*N. And after 4 days 40% more bees die. And that is 0.4*0.125*N = 0.05N. 0.05*100% is 5%. So after 19 days, 5% of bees remain and 95% of bees is dead.

3 0

3 years ago

Help please I need it:

jonny [76]

Answer:

Step-by-step explanation:

The number of sandwiches sold: 73

The cost to make one sandwich: S

The profit the band earns from one sandwich: 0.2S

The amount of money that the band recieves for selling one sandwich:

S + 0.2S

6 0

3 years ago

A square is cut into two congruent triangles by drawing the diagonal between two corners. If the area of each triangle is 162 cm

Pavel [41]

Ok so area=162
since the triangles sides were cut out of a square, base=height
area=1/2bh=162
b=h
area=1/2b^2=162
times 2 both sides
b^2=324
sqrt both sides
b=18=h
the legnth of one side is 18cm
see diagram

another way, is total aera of square=areas of both triangles=162+162=324
remember area of square=side^2 so
324=side^2
sqrt both sides
18=side

answer is 18cm

5 0

3 years ago

What is Pythagorean theorem

ioda

A^2+B^2=C^2, this formula is used to find the length of a hypotenuse only if the triangle is a right triangle (has a 90 degree angle)

8 0

3 years ago

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