The manual for your boat engine calls 91 octane gas. The gas stations by your house only sell 87 and 93 octane. If the boat's tank holds 30 gallons, how many gallons of each should you buy for a 91 octane mix?

Answers

Answer 1

Answer: I not exactly sure if this is right but with the numbers that you are given, you can do a simple division problem of 91/30=3.0999 because you don't want decimals, you need a solid number of gallons you must buy you would have to buy 4 gallons for that 91 octane mix, leaving you with some gas.

Hope I helped you!

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Simplify the numerator and the denominator separately, then find the quotient -3(-2)/5-(-1)=?

Quotient=?

Answers

$(-3(-2))/(5-(-1))=(6)/(5+1)=(6)/(6)=1$

$The\ numerator:-3(-2)=6\n\nThe\ denominator:5-(-1)=5+1=6\n\nThe\ quotient:(6)/(6)=1$

Numerator:
-3 times (-2) = +6

Denominator:
5 minus (-1) = 5 + 1 = 6

The quotient = +6 / 6 = 6 divided by 6 . That's ' 1 '.

What is the circumference of a circle with a diameter of 6 feet ?Use 3.14

Answers

Answer:

18.84

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C=πd=π·6=18.84ft

ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 pointsA. What is the probability a randomly selected score is greater than 30.4?

B. what is the probability a randomly selected score is less than 32.8?

C. What is the probability a randomly selected score is Between 25.6 and 32.8?

Answers

Answer:

a. 0.1587

b. 0.8849

c. 0.1814

Step-by-step explanation:

a. Given that $\mu=28, \ \ \sigma=2.4$

-The probability a randomly selected score is greater than 30.4 is calculated as:

$P(X>30.4)=1-P(X<30.4)\n\nz=(\bar X-\mu)/(\sigma)\n\n=(30.4-28)/(2.4)=1\n\n\therefore P(X>30.4)=1-P(z<1)\n\n=1-0.84134\n\n=0.1587$

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that $\mu=28, \ \ \ \sigma=2.4$

The probability a randomly selected score is less than 32.8 is calculated as:

$P(X<32.8)=P(z<(\bar X-\mu)/(\sigma))\n\nz=(\bar X-\mu)/(\sigma)\n\n=(32.8-28)/(2.4)=1.2\n\nP(X<32.8)=P(z<1.2)\n\n=0.88493$

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

$P(25.6<X<32.8)=P((\bar X-\mu)/(\sigma)<z<(\bar X-\mu)/(\sigma))\n\n=P((25.6-28)/(2.4)<z<(32.8-28)/(2.4))\n\n=P(-1<z<2.0)\n\n=0.15866+(1-0.97725)\n\n=0.1814$

Hence, the probability is 0.1814

Classify the following triangle. Check all that apply.

Answers

Triangle is both acute and scalene.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

we know that,

A scalene triangle has three unequal sides and angles, whereas an acute triangle has three acute angles (measured fewer than 90 degrees). Consequently, the characteristics of an acute scalene triangle are as follows: three lines that cross each other. a trio of sharp angles All sides are not equal.

Given

All angles are less than 90 degrees so it is acute. The sides are of difference lengths so it is scalene.

To know more about acute triangles refer to :

brainly.com/question/1368335

#SPJ7

It has 90 degrees so it's right
And none of the sides are equal so it's scalene

Zina solves a system of linear equations by elimination and finds a solution of (2, 2). One of the equations is a + b = 4. What is the other equation?

Answers

a - b = 0 <=== ur other equation

check...
a + b = 4
a - b = 0
--------------add
2a = 4
a = 4/2
a = 2

a - b = 0
2 - b = 0
-b = 0 - 2
-b = -2
b = 2

solution is (2,2)

I NEED HELP on this

Answers

the third choice is the correct one

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