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3 years ago

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Mathematics

1 answer:

seraphim [82]3 years ago

3 0

Answer: 58

Step-by-step explanation: you have to find what A is first. A plus the angle outside (114) is 180. So 180-114 is 66. 66 = A. You then add 66 with 56 and get 122. You subtract 122 with 180 and get 58, your answer.

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Will mark brainliest !! Easy math

marshall27 [118]

Answer:

increase = 37.38 cm²

You'd like the first way because it took less effort and less chance of a miscalculation.

Step-by-step explanation:

first way:

(just work with the difference in height)

(0.7 x 8.7 x 2) + (0.7 x 18 x 2) = 37.38 cm²

second way:

old total lateral surface area = (31 x 8.7 x 2) + (31 x 18 x 2) = 1655.4

new total lateral surface area = (31.7 x 8.7 x 2) + (31.7 x 18 x 2) = 1692.78

increase = 1692.78 - 1655.4 = 37.38 cm²

6 0

3 years ago

Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April

Fofino [41]

Deposit: = $600 on 1st April

Futher Depost = $200 on1st July

Interest rate = 2.60% per annum

Compounded = quarterly

4 0

3 years ago

Its

damaskus [11]

Answer:

$P(Green\ and\ Green) = \frac{25}{144}$

Step-by-step explanation:

Given

$Green=5$

$Blue = 7$

Required

$P(Green\ and\ Green)$

This is calculated as:

$P(Green\ and\ Green) = P(Green) * P(Green)$

Since, it is a probability with replacement, we have:

$P(Green\ and\ Green) = \frac{Green}{Total} * \frac{Green}{Total}$

So, we have:

$P(Green\ and\ Green) = \frac{5}{12} * \frac{5}{12}$

$P(Green\ and\ Green) = \frac{25}{144}$

5 0

3 years ago

An electrical rm manufactures light bulbs that have a life span that is approximately normally distributed. The population stand

stira [4]

Answer:

The 't' test statistic = 1.46 < 1.69

The test of hypothesis is H 0 :μ = 800 is accepted

A sample of 30 bulbs are found came from average µ= 800

Step-by-step explanation:

Step 1:-

Given population of mean μ = 800

given size of small sample n =30

sample standard deviation 'S' = 45

Mean value of the sample χ = 788

Null hypothesis $H_{0} =$ µ =800

alternative hypothesis $H_{1} =$ µ ≠ 800

Step 2:-

The 't' test statistic t = $\frac{x-μ}{\frac{sig}{\sqrt{n} } }$

$t = \frac{788-800}{\frac{45}{\sqrt{30} } }$

t = $\frac{12}{8.215}$ = 1.4607

Step 3:-

The degrees of freedom γ = n-1 = 30-1 =29

From "t" value from table at 0.05 level of significance ( t = 1.69)

The calculated value t = 1.4607 < 1.69

Therefore The null hypothesis H_{0} ' is accepted.

conclusion:-

A sample of 30 bulbs are came found from average µ= 800

7 0

3 years ago

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

Alexxx [7]

Answer:

The answer would be the second plot

Step-by-step explanation:

The frequency table show how many sick patients there are in a single age range. In the first two plots, the total dots between numbers 24, 25, 26, 27, 28, and 29 add up to 3, and the other 2 plots do not, so those are not correct.

When we add up the total of dots from ages 30-34 on the first plot, there are only 4 sick patients. On the second graph, there are 6 total patients in that age range. Therefore, the dot plot that corresponds with the frequency table is the second one.

7 0

3 years ago

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