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2 years ago

PLEASE HELP ME!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

attashe74 [19]2 years ago

4 0

The missing angle is 28 degrees.
All triangles angles add up to 180 degrees.
47 + 31 = 78
180 - 78 = 102
102 + 50 = 152
180 - 152 = 28

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Jonathan buys two baseball bats for $43 each they are on sale for 45% off he also bought a glove that was originally priced at 2

vladimir2022 [97]

Hi There!

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Baseball Bats:

43 x 0.45 = $19.35 as the amount off.

43 - 19.35 = $23.65 with the discount.

23.65 x 2 = $47.3 for two bats.

-----------------------------------------------------

Glove:

28 x 0.25 = $7 as the amount off.

28 - 7 = $21 with the discount.

-----------------------------------------------------

Together:

21 + 47.3 = $68.3 as the total before taxes.

-----------------------------------------------------

With Taxes:

68.3 x 0.055 = $3.7565 as the tax amount.

68.3 - 3.7565 = $64.5435

-----------------------------------------------------

Answer:

Not Rounded: $64.5435

Rounded: $64.54

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Hope This Helps :)

3 0

3 years ago

The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5

miskamm [114]

Answer:

z=-3.25

$p_v =2*P(z$

Step-by-step explanation:

1) Data given and notation

$\bar X=5.24$ represent the mean production for the sample

$\sigma=0.32$ represent the sample standard deviation for the sample

$n=16$ sample size

$\mu_o =5.5$ represent the value that we want to test

$\alph=0.05a$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

Part a: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean production is different from 5.5 tons, the system of hypothesis would be:

Null hypothesis: $\mu =5.5$

Alternative hypothesis: $\mu \neq 5.5$

If we analyze the info given we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{5.24-5.5}{\frac{0.32}{\sqrt{16}}}=-3.25$

P-value

Since this is a two side test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the production its significant different compared to the desired percentage of SiO2 of 5.5 at 5% of signficance.

7 0

2 years ago

A. {0,1,2,3,4}<br> B. {1,2,3,4}<br> C. {-1,0,1,2,3}<br> D. {-2,-1,0,1,2,3,4}

Harlamova29_29 [7]

Option D:

The set is {-2, -1, 0, 1, 2, 3, 4}.

Solution:

Given set:

$\{x \in Z:-2 \leq x \leq 4\}$

Z means integer values.

Integer means set of positive and negative values including zero.

$-2 \leq x \leq 4$

This means x lies between -2 and 4.

If x strictly less than -2 and greater than 4 means you don't have to include -2 and 4.
But here x less than or equal to -2 and greater than or equal to 4, so you have to include -2 and 4.

The integers are -2, -1, 0, 1, 2, 3 and 4.

So, x belongs to the set {-2, -1, 0, 1, 2, 3, 4}

Hence the given set is defined by the set {-2, -1, 0, 1, 2, 3, 4}.

Option D is the correct answer.

6 0

3 years ago

Which of the following expression is equivalent to sin(5x) ?

RSB [31]

$Use:\\sin(x+y)=sinxcosy+sinycosx\\-------------------------\\sin5x=sin(3x+2x)=sin3xcos2x+sin2xcos3x\\\\Answer:e)$