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Varvara68 [4.7K]

3 years ago

5

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the corne

r diagonally across the field. How far do the players run.

1 answer:

mihalych1998 [28]3 years ago

5 0

150 meters or so i think

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Which two equations would be most appropriately solved by using the zero product property?

anzhelika [568]

For the zero product property questions it's choices 2 and 3 since they're quadratics factored and set equal to zero.

for the quadratic formula questions it would be answer choices 2 and 3 also because they're unfactored trinomial quadratic expressions

6 0

3 years ago

Read 2 more answers

For what values of K does x2+kx+9=0

Airida [17]

Answer:

$k = 6$

Step-by-step explanation:

$x {}^{2} + kx + 9 = 0$

here,

a = 1,

b = k

c = 9

now,

$D = b {}^{2} - 4ac$

$k {}^{2} - 4(1)(9) = 0 \\ k {}^{2} - 36 = 0 \\ k {}^{2} = 36 \\ k = 6$

4 0

3 years ago

Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .

maria [59]

Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2

Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2

8 0

3 years ago

If sales are $425,000, variable costs are 62% of sales, and operating income is $50,000, what is the contribution margin ratio?

Dmitry_Shevchenko [17]

In an internal operating income statement, the form is as such:

(1) Sales (or Revenue) - Total Variable Costs = Contribution Margin;

(2) Contribution Margin - Total Fixed Costs = Operating Income

and

(3) Contribution Margin Ratio = Contribution Margin/Sales

The first equation helps us out. Sales is the whole amount for this statement, or 100%. We know variable costs are 62% and the rest goes to the Cont. Margin.

100% - 68% = 32% (choice A)

4 0

3 years ago

Read 2 more answers

A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on

SVEN [57.7K]

Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± $Z_{1-\alpha /2}$ * $\frac{S}{\sqrt{n} }$

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

S= 3.71

$Z_{1-\alpha /2}= Z_{0.95}= 1.645$

[10.41±1.645* $(\frac{3.71}{\sqrt{28} } )$ ]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

7 0

3 years ago