Jared made 4 birds houses in 3 days how many days will it take him to make 20 bird houses

Answers

Answer 1

Answer: 20 bird houses in 15 days.

Answer 2

Answer: I’m not sure but I think 12 days

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Ramona went to a theme park during spring break. She was there for 7 hours and rode 14 rides. At what rate did Ramona ride rides in rides per hour?

Suppose 41%41% of American singers are Grammy award winners. If a random sample of size 860860 is selected, what is the probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%5%?

Answers

Answer:

99.72% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{(p(1-p))/(n)}$

In this question:

$n = 860, p = 0.41$

$\mu = 0.41, s = \sqrt{(0.41*0.59)/(860)} = 0.0168$

What is the probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%?

This is the pvalue of Z when X = 0.41 + 0.05 = 0.46 subtracted by the pvalue of Z when X = 0.41 - 0.05 = 0.36. So

X = 0.46

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem

$Z = (X - \mu)/(s)$

$Z = (0.46 - 0.41)/(0.0168)$

$Z = 2.98$

$Z = 2.98$ has a pvalue of 0.9986

X = 0.36

$Z = (X - \mu)/(s)$

$Z = (0.36 - 0.41)/(0.0168)$

$Z = -2.98$

$Z = -2.98$ has a pvalue of 0.0014

0.9986 - 0.0014 = 0.9972

99.72% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%.

Find tan x if sec x = sort 37/6 and sin x <0

Answers

Answer:

tan(x) = -1/6

Step-by-step explanation:

We can use the relation between tan and sec:

$\displaystyletan(x)=\pm\sqrt{\sec^2{x}-1}\n\ntan(x)=-\sqrt{\left((√(37))/(6)\right)^2-1}\quad\text{negative because sine is negative}\n\n=-\sqrt{(37-36)/(36)}=\boxed{-(1)/(6)}$

The tangent of x is -1/6.

luis read a 300 page book in 6 days on the first day he read 120 pages each day after that he read the same amount of pages writ the equation that can be determined the number of pages read on each day after rhe first day

Answers

120+(XN)= 300
this should be the correct answer
BRAINLIEST PLEASE
x= pages read per day
n= number of days

Rewrite the expression as a product using GCF and distributive property= 27+45= Explain your answer.

Answers

Step-by-step explanation:

The greatest common factor (GCF) of 27 and 45 is 9.

27 + 45

9 (3 + 5)

9 (8)

Final answer:

The expression 27 + 45 is rewritten using the Greatest Common Factor (GCF) and the distributive property as 9*(3 + 5) = 72.

Explanation:

The given expression is 27 + 45. To rewrite this using the Greatest Common Factor (GCF) and the distributive property, we first find the GCF of the two numbers. The GCF of 27 and 45 is 9. We then divide each number by the GCF and rewrite the expression using the distributive property.

So, 27 + 45 = 9*(3 + 5) = 9*8 = 72.

The above step is the application of the distributive property, where a*(b + c) = ab + ac.

Learn more about GCF and distributive property here:

brainly.com/question/11023604

#SPJ3

Rewrite 4+8lnx=2 without logarithms

Answers

4 + 8 ln(x) = 2

8 ln(x) = $(1)/(2) [/tex</p><p>ln (x) = [tex] (1)/(16)$

$e^(ln(x)) = e^{(1)/(16)$ by exponentiating both sides.

x = $= e^{(1)/(16)$

The number of mold cells doubles every 12 minutes. At this moment, there are x mold cells present on a piece of bread. Which of the following represents the number of mold cells present one hour from now?

Answers

The no. of mold cells one hour from now will be 32 $x$ .

Given,

The number of mold cells doubles every 12 minutes.

Let at time $t$ we have x mold cells.

So, after 12minutes, the no of molds at $,t_(12) =t+12$ the no. of mold will be $2x.$

After further 12 minutes at, $t_(24) =t+24$ , the no. of mould will be $4x$ .

After further 12 minutes at, $t_(36) =t+36$ , the no. of mold will be $8x$ .

After further 12 minutes at, $t_(48) =t+48$ , the no. of mold will be $16x.$

After further 12 minutes at, $t_(60) =t+60$ , the no. of mold will be $32x$ .

Hence the no. of mold cells one hour from now will be 32 $x$ .

For more details follow the link:

brainly.com/question/11897796

Answer:

Step-by-step explanation:

Suppose that at time $t_0$ we have x mold cells. We are told that after 12 minutes the amount present is double. That is a $t= t_0+12$ we have 2x cells. Then, at $t = t_0+24$ we have (2x)*2 = 4x. We can continue as follows

$t: t_0+36$ we have (4x)*2 = 8x.

$t: t_0+48$ we have (8x)*2 = 16x

$t: t_0+60$ (one hour later) we have (16x)*2 = 32x.

So after one hour from now we have 32x cells.

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