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nikklg [1K]
2 years ago
12

1. SAT Math scores in recent years have had means around 490 and standard deviations

Mathematics
1 answer:
tatiyna2 years ago
3 0

Answer:

´The variance is 10000

Step-by-step explanation:

The variance is defined as the square of standard deviation, consequently it is as follows:

σ^2=100^{2}

σ^2=10000

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Margie is standing on a bridge looking at the river below. She throws a rock over the bridge with an initial
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<h2>Explanation:</h2><h2></h2>

Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial  velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the  equation:

h(t) = -16t^2+60t+72

To calculate how long will it take for the rock to reach the surface of the water, we need to set h(t)=0. So:

0 = -16t^2+60t+72 \\ \\ \\ \text{Using quadratic formula}: \\ \\ t=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-16 \\ \\ b=60 \\ \\ c=72 \\ \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{8208}}{-32} \\ \\ t_{1}=4.70 \\ \\ t_{2}=-0.95

Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>

6 0
3 years ago
5. Determine the length of side y to the nearest hundredth.
KonstantinChe [14]

Answer:

64.50 cm

Step-by-step explanation:

\sin \: 51 \degree =  \frac{y}{83} \\  \\  0.7771459615 =  \frac{y}{83}  \\  \\ y = 0.7771459615 \times 83 \\  \\ y = 64.5031148 \\  \\ \huge \red{ \boxed{ y = 64.50 \: cm}}

8 0
2 years ago
Dr. Banks had 330 toothbrushes to give away to his patients.
igor_vitrenko [27]

Answer:

Dr. Banks Has 164 toothbrushes left to give away or to keep :)

Step-by-step explanation:

subtract 330-53-67-46= 164! Please mark brainliest :)

8 0
3 years ago
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Both teams observed the same fastest and lowest times.

Both teams' medians are close to each other, but Team B has a slightly faster median.
5 0
3 years ago
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Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequa
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Answer:

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7 0
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