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3 years ago

Please help, me find the area of Letter E.

Mathematics

1 answer:

Radda [10]3 years ago

7 0

Answer:

7.005 m^2.

Step-by-step explanation:

We can split this into one vertical rectangle 3.45 * 0.9 m^2

2 rectangles 2 * 0.75 = 1.5 m^2

1 rectangle 1.2 * 0.75 m^2

= 3.105 + 2 * 1.5 + 0.9

= 7.005 m^2.

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Sveta_85 [38]

Answer:

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Step-by-step explanation:

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3 years ago

12345 [234]

Answer: $28.35\ minutes$

Step-by-step explanation:

Let be "x" the time in minutes a 150-pound person must walk at 4 mph to use at least 190 calories.

The amount of calories that a 150-pound person uses in 1 minute when walking at a speed of 4 mph is:

$Calories\ per\ minute=6.7$

Therefore, knowing this, we can write the following proportion:

$\frac{1}{6.7}=\frac{x}{190}$

Finally, we must solve for "x" in order to find its value.

Multiplying both sides of the equation by 190, we get this result:

$(190)(\frac{1}{6.7})=(\frac{x}{190})(190)\\\\x=28.35$

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3 years ago

Find the midpoint of points A(-2,-8) and B(7,-4) graphically.

k0ka [10]

Answer:

The midpoint is (2.5,-6) or written as a fraction ( $\frac{5}{2}$ , -6)

Step-by-step explanation:

$MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-2+7}{2}),(\frac{-8+-4}{2} ) \\MP= (\frac{5}{2}),(\frac{-12}{2} ) \\MP= (2.5,-6 )$

7 0

3 years ago

If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the<br> vertex?

pishuonlain [190]

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

4 0

3 years ago

In Pennsylvania the average IQ score is 101.5. The variable is normally distributed, and the population standard deviation is 15

blsea [12.9K]

Answer:

We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu > 101.5$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.96$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

5 0

2 years ago

Please help, me find the area of Letter E.​

Please help, me find the area of Letter E.