3 years ago

Find the area of the shape

Mathematics

1 answer:

nydimaria [60]3 years ago

8 0

Answer: 3 pie symbol

Step-by-step explanation:

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Find the equation of the line that has a slope of 7 and passes through the point (-6,8).

Bad White [126]

Y-y1=m(x-x1)
y-8=7(x-(-6))
y-8=7(x+6)
y-8=7x+42
+8 +8
y=7x+50

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2 years ago

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Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offe

disa [49]

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

$Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44$

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

7 0

2 years ago

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand

goblinko [34]

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

$H_0:\mu=20\\\\H_a:\mu$

Sample mean = 19.4

Sample size n = 50

Standard deviation = 2

We need to find the test statistic value which is given by

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14$

p-value is given by

$P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016$

Hence, p-value is 0.016.

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2 years ago

Calculate S30 for the arithmetic sequence defined by {an}={3.1n-2}

timurjin [86]

Answer:

c) 1,381.5.

Step-by-step explanation:

First term = 3.1 *1 - 2 = 1.1

2nd term = 3.1*2 - 2 = 4.2

3rd term = 3.1*3 - 2 = 7.3

so the common difference d = 3.1.

S30 = (30/2) [ 2* 1.1 + (30-1) * 3.1)]

= 1,381.5.

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2 years ago

Please help me with these pages<br> 38 points!

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For 4 4 to 5 16 to 20 24 to 30

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2 years ago