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2 years ago

Please answer both questions! I know that there are answers in the boxes but I’m not sure if they are correct.

Mathematics

1 answer:

stepan [7]2 years ago

7 0

Answer:

72,000

Step-by-step explanation:

I just used my brain to solve it the way I could

here they said 64,000 annually a year, which means every Yr all together he would make 64,000 but ever month 2,000

so let's try this formula

64,000+2×4

=72,000

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What are the steps to solve √(0.2)^(−2)?<br><br>(The answer is 5)

Nimfa-mama [501]

$\bf 0.\underline{2}\implies \cfrac{02}{1\underline{0}}\implies \stackrel{simplified}{\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ \left( \sqrt{0.2} \right)^{-2}\implies \left( \sqrt{\cfrac{1}{5}}\right)^{-2}\implies \left( \sqrt{\cfrac{5}{1}}\right)^{+2}\implies \cfrac{(\sqrt{5})^2}{(\sqrt{1})^2}\implies \cfrac{\sqrt{5^2}}{\sqrt{1^2}}\implies 5$

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2 years ago

Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l

Gelneren [198K]

She would have to pay $30.53
24x.6=1.44
24+1.44=25.44
25.44/.2=5.088
25.44+5.09 (you had to round it up because it's money)
Which equals 30.53
I hoped this helped :)

6 0

2 years ago

Read 2 more answers

A 90-kg astronaut biologist searches for microbial life on Mars where the gravitational acceleration is g = 3.71 m/s2. What is t

Yuki888 [10]

M = 90 kg,
On Mars: g = 3.71 m/s²
Weight = m · g = 90 kg · 3.71 m/s² = 333.9 N
1 N = 0.2248 lbf
333.9 · 0.2248 = 75.06072 lbf ≈ 75 lbf

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2 years ago

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

2 years ago

You are given an original figure with coordinates B(-7,-2), A(5,-2), and D(-7,7) and its image with coordinates J(-3,0), K(1,0),

MAVERICK [17]

Answer:

see below

Step-by-step explanation:

DB = 9 units (by counting)

BA = 12 units (by counting)

DA can be found by using the pythagorean theorem

a^2 +b^2 = c^2

BD^2 + BA^2 = DA ^2

9^2 +12^2 = DA^2

81 +144 = DA^2

225 = DA ^2

Take the square root of each side

sqrt(225) = sqrt(DA^2)

15 = DA

LJ = 3 units (by counting)

JK = 4 units (by counting)

LK can be found by using the pythagorean theorem

a^2 +b^2 = c^2

LJ^2 + JK^2 = LK ^2

3^2 +4^2 = LK^2

9 +116 = LK^2

25 = LK ^2

Take the square root of each side

sqrt(25) = sqrt(LK^2)

5 = LK

Scale factor from BAD to JKL

15 to 5

Divide each side by 5

3 to 1

We multiply by 1/3 to go from the big to small

7 0

2 years ago