Question below

A tutor chargers $30 for 2 hours.uae ratio table to determine how much she charges for 5 hours

Daniel [21]

15/hr 15x5 = 75 dollars. you can build the ratio table using the rate of change.

4 0

2 years ago

Consider the following hypothesis test H0 p 20 Ha p 20 A sample of 400 provided a sample proportion p 175 a Compute the value of

Bogdan [553]

Answer:

a) -1.25

b) 0.2112

c) -1.96

Step-by-step explanation:

Data provided in the question:

Sample size, n = 400

H0 : p = 20

$\bar{p}$ = 175

Now,

a) The test statistic is given as:

Z = $\frac{(\bar{p}-p)}{\sqrt{\frac{p(1-p)}{n}}}$

on substituting the respective values, we get

Z = $\frac{(0.175-0.2)}{\sqrt{\frac{0.2\times0.8}{400}}}$

= -1.25

b) The p-value = 2 × P(Z <-1.25)

Now from the standard normal table

P(Z <-1.25) = 10.56% = 0.1056

Thus,

p-value = 2 × 1056 = 0.2112

c) for a = 0.05,

the critical value is $Z_{\frac{a}{2}}=Z_{\frac{0.05}{2}}$ i.e $Z_{0.025}$

Now from standard normal table

$Z_{0.025}$ = -1.96

3 0

3 years ago

Condensing Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the logarithm of a

Dimas [21]

Answer:

$\frac{\ln(2x + 5)}{\ln(x - 3)}$ = 0

Step-by-step explanation:

Data provided in the question:

In(2x + 5) = In(x - 3)

we can rearrange the above equation as

⇒ In(2x + 5) - In(x - 3) = 0

now,

from the properties of natural log function, we know that

$\ln(\frac{A}{B}) = \ln(A)-\ln(B)$

therefore,

we get

$\frac{\ln(2x + 5)}{\ln(x - 3)}$ = 0

Hence,

Expression as the logarithm of a single quantity is $\frac{\ln(2x + 5)}{\ln(x - 3)}$ = 0

5 0

3 years ago

Read 2 more answers

Help my brother please :)

Tanzania [10]

Answer:

28/12

Step-by-step explanation:

you multiply 12 times 2

then add it to 4

3 0

3 years ago

Read 2 more answers

The length of the first side of a triangle is half the length of the second side. The length of the third is 5cm more than tripl

babunello [35]

Answer:

Length of 

first side = $\frac{x}{2}$

second side = x

third side = 5 +3x

Step-by-step explanation:

Given:

Length of the first side of a triangle is half the length of the second side

The length of the third is 5cm more than triple the length of the second

To find:

The expression representing the sides of the triangle

Solution:

Let us first assume the second side of the triangle to be x, since the the first and the third sides are based on the length of the second side

Now, the length of the first side is said to be half of the second side, so

The length of the first side will be = $\frac{x}{2}$

The length of the second side is 5cm more than triple the length of the second

So the length of the third side will be

5 +3x

6 0

3 years ago