A boat can travel 64 miles on 7 gallons of gasoline. How much gasoline will it need to go 24 miles?

Sue played four games of golf for these games her modal score was 98 and her mean score was 100 her range of score was 10 what w

earnstyle [38]

Answer : Remaining two observation becomes 97 and 107.

Explanation :

Since we have given that

Mean = 100

Modal value = 98

Range = 10

As we know that ,

Range = Highest-Lowest

Let highest observation be x

Let lowest observation be y

So equation becomes x-y=10 ----equation 1

So, observation becomes

x,98,98,y

Now, we use the formula of mean i.e.

Mean = $\frac{\text{Sum of observation}}{\text{N.of observaton}}$

So, mean = $\frac{x=98=98+y}{4}=400\\\frac{196+x+y}{4}=100\\x+y=400-196\\x-y=204$

So our 2nd equation becomes

x+y=204

On using elimination method of system of linear equation on these two equation we get,

x=97

and

$x+y=204\\y=204-x\\y=204-97\\y=107$

Hence , remaining two observation becomes 97 and 107.

8 0

1 year ago

You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950.

Semmy [17]

Answer:

y = 0.2x + 250

Step-by-step explanation:

let the sales be x and y be earnings

thus,

given

x₁ = $3,500 ; y₁ = $950

and,

x₂ = $2,800 ; y₂ = $810

Now,

the standard line equation is given as:

y = mx + c

here,

m is the slope

c is the constant

also,

m = $\frac{y_2-y_1}{x_2-x_1}$

or

m = $\frac{810-950}{\textup{2,800-3,500}}$

or

m = 0.2

substituting the value of 'm' in the equation, we get

y = 0.2x + c

now,

substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get

$950 = 0.2 × $3,500 + c

or

$950 = $700 + c

or

c = $250

hence,

The equation comes out as:

y = 0.2x + 250

7 0

1 year ago

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

Thus length of pendulum is 2.485 feet approximately

7 0

2 years ago

Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars.

Romashka [77]

Answer:

The sampling option Hamden city's police department needs to choose is to select a random sample of 10% of all taxpayers.

Since the Hamden city’s police department needs to choose whether to build a new addition to the police station or to buy new squad cars. And it needs money to choose any of these options. The money usually comes from the packets of taxpayers. Therefore, it would be appropriate to take a random sample of 10% of all taxpayers.

8 0

1 year ago

Andrea, Belinda and Chloe spent the evening with their husbands. Eugene was seen with his wife dining at Stake Out but they were

-Dominant- [34]

We can solve the puzzle by simplifying the conditions in the table below:

Husband    Wife Place Visited    Means
Eugene       Chloe Stake Out not Limousine
not David, then Flavian Belinda    Rainbo IV    then Limousine
then David    Andrea    then Water World fun park       Taxi

Therefore, from the given conditions, David and Andrea spent their evening at Water World fun park and they got there by taxi.

6 0

2 years ago