Ask question

Ask question

All categories

2 years ago

12

If y varies directly with x and y = 87 when x = 3, find y when x = 5. Write and solve a direct variation equation to find the an

swer

1 answer:

Amanda [17]2 years ago

5 0

Answer:

145

Step-by-step explanation:

y=kx

87=3k

k= 87/3

k= 29

y=29×5

y= 145

You might be interested in

I need help on how to set this problem up and also how to solve it.

balu736 [363]

Answer:

It is the lenghth of awad because tall and skinny

4 0

3 years ago

Read 2 more answers

A past survey of students taking a standardized test revealed that % of the students were planning on studying engineering in c

Angelina_Jolie [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $-0.00870$

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 1068000$

The first proportion $\r p_1 = 0.084$

The second sample size is $n_2 = 1476000$

The second proportion is $\r p_2 = 0.092$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

From the normal distribution table we obtain the critical value of $\frac{ \alpha }{2}$ the value is

$Z_{\frac{\alpha }{2} } =z_c= 1.96$

Now using the formula from the question to construct the 95% confidence interval we have

$(\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }$

Here $\r q_1 = 1 - \r p_1$

=> $\r q_1 = 1 - 0.084$

=> $\r q = 0.916$

and

$\r q_2 = 1 - \r p_2$

=> $\r q_2 = 1 - 0.092$

=> $\r q_2 = 0.908$

So

$(0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }$

$-0.00870$

3 0

2 years ago

Use the estimate in the text based on the Prime Number Theorem to give approximate values of the following. (a) The number of pr

ozzi

Answer:

a)148.47

b)148.34

Step-by-step explanation:

Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.

We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.

A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.

a)The number of primes between 1 and 1030.

1030/log(1030)=148.47

b) The number of primes between 1 and 1029.

1029/log(1029)=148.34

Extra: π(1029)=π(1030) because 1030 is not a prime.

5 0

3 years ago

What is the appropriate unit of measurement of an area rectangle

VMariaS [17]

Answer: feet mainly

Step-by-step explanation:

depends

inches,feet,meters

6 0

2 years ago

How to turn 4/7 into a decimal? no calculator

Artyom0805 [142]

You would divide 4 by 7.

that gives you 0.57

6 0

3 years ago