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3 years ago

Find the missing angles using either the triangle sum theorem (a2+b2=c2) or inverse trigonometric ratios

Mathematics

2 answers:

insens350 [35]3 years ago

4 0

using trigonometry:-

cos of angle ? = 7/16

so ? = arccos 7/16 = 64.06 degrees

The other angle is 90 - 64.06 = 25.94 degrees

dolphi86 [110]3 years ago

4 0

The other angle is 29.53 degrees

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the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of

Tamiku [17]

Answer:

the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books

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3 years ago

Calculate the sum. 10+ (-42) O A. 52 O B. -32 O C. 32 D. -52

kotykmax [81]

Answer:

Step-by-step explanation:

10 + (-42)

10 - 42

-32

8 0

3 years ago

A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n

mafiozo [28]

Answer:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

$\hat p=\frac{40}{120}=0.333$ estimated proportion of strawberries damaged

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that no more than 25% of his total harvest of strawberries was damaged.:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0

3 years ago

The water under a draw bridge was 15 feet deep at midnight. As the tide went out, the

Vsevolod [243]

Answer:

80 minutes or 1 h 20 minutes

Step-by-step explanation:

15-13=2

2/0.025=80

So we can conclude that it takes 80 minutes till it reaches 13 feet.

7 0

3 years ago

Is √3,600 rational or irrational? Please help asap.

natima [27]

Answer:

$\sqrt{3600}$ is rational

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The answer of square root of 3600 is 60 which is not a decimal or an irrational number and therefore it's rational

6 0

3 years ago