1 1/3 is greater than blank and less then blank

Please help me with this

timama [110]

Answer:

choice 1

Step-by-step explanation:

angle 1 = angle 7 (exterior alternate angle)

angle 3=angle 5 (interior alternate angle)

3 0

2 years ago

An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o

stira [4]

Answer:

$H_{0}: \mu= 185$ and $H_{a}: \mu > 185$

Step-by-step explanation:

The null hypothesis $H_{0}$ states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form $H_{0}: parameter = value$

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form $H_{0}: \mu= 185$ .

The alternative hypothesis $H_{a}$ states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

$H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value$

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use $H_{a}: \mu > 185$ as his alternative hypothesis.

7 0

3 years ago

Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.

denis-greek [22]

Answer:

Lisa borrowed $8,500

Step-by-step explanation:

Simple Interest

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

$\displaystyle P=\frac{I}{rt}$

Substituting:

$\displaystyle P=\frac{170}{0.048*5/12}$

$\displaystyle P=\frac{170}{0.02}=8,500$

Lisa borrowed $8,500

8 0

2 years ago

At a rock concert, the ratio of girls to boys is 3:7. If there are 360 more boys than girls, how many girls are at the concert?

bixtya [17]

You could understand the ration as parts: the total number of parts was 3+7=10.

So girls were 3/10 parts and boys 7/10 parts. The difference was 7-3=4 parts. this difference is equal to 360, so each part is 90 (4*90 =360).

so girls are "3 parts" and each part is 90, then the number of girls is 3*90=270.

4 0

3 years ago

Consider the following functions.G(x) = 4x2; f(x) = 8x(a)

noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form $4x^2+C$ is an antiderivative of 8x

Step-by-step explanation:

A function F is an antiderivative of the function f if

$F'(x)=f(x)$

for all x in the domain of f.

(a) If $f(x) = 8x$ , then $G(x)=4x^2$ is an antiderivative of f because

$G'(x)=8x=f(x)$

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of f.

(b) Because

$\frac{d}{dx}(4x^2)=8x$

then $G(x)=4x^2$ is an antiderivative of $f(x) = 8x$ . Therefore, every antiderivative of 8x is of the form $4x^2+C$ for some constant C, and every function of the form $4x^2+C$ is an antiderivative of 8x.

8 0

3 years ago