When the marks of a science test are graphed, the distribution of markss is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?

To solve the equation this equation, we compute the multiplication of the two numbers using the calculator

3.60 * 0.75 = 2.7

Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.

We need to form a mathematical expression from the given word problem.

Let the unknown number be x.

Thrice a number is three times = 3x

Twelve less than thrice a number = 3x-12

Thus, the mathematical expression from the word problem is 3x-12

We need to find the amount Lana left after spending and investing another.

Lana spends=70% of $90=70/100 * 90 = $63

Amount left after spending=$(90-63) = $27

Lana is left with $27, which she will invest and earns a profit of 60%.

Profit earned=60% of $27 = 60/100 * 27 = $16.20

Therefore, Lana will have $27 + $16.20 = $43.20

We need to find the radius of the circle from the given value of area. Then, the radius of the circle will be used to find the circumference of the circle.

The first step is to find the radius, r of the circle as

Thus, the circumference of a circle whose area is \(9\pi\ in\ ^2\)is 6 in.

The selling price of the sweater is marked price less the mark off value.

Mark off value=mark off rate*original price

Mark of value=30% of $95

Mark of value=0.30*$95=$28.50

Now, find the selling price of the sweater

Selling price= marked price-mark off value

Thus, the sweater will be sold for 66.50 after applying a mark off of 30%. The selling price is about $67.

From the cost of 45 syringes, we are required to find the cost of 5 syringes. We set up a proportion equation by letting the cost of 5 syringes to y. Besides, we let the cost to be numerator and number of syringes to be denominator as follows.

Solve the value of y by cross products

Divide both sides by 45

Therefore, 5 syringes will cost $80.00.

Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:

Thus, 9 yards is equal to 27 ft.

The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.

Solve for value of p by cross products

Multiply both sides by 3/2 a reciprocal of 2/3

The truck carries a cargo weighing 795 lb.

Before finding the area of the pizza, we need to find the radius of the pizza.

Find radius of the pizza in terms of diameter

Next, find area of the pizza using the radius of 6 inches

Substituting r=6 in the equation of the area of a circle

Thus, the pizza has an area of 36 π in2.