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2 years ago

Find the value of x in the given right triangle. 7 X 10 x = [ ? ]

Mathematics

1 answer:

Ugo [173]2 years ago

4 0

The value of x in the given right triangle is approximately 7.14

<h3>How to find unknown side in a right triangle?</h3>

Hypotenuse = 10
opposite = x
Adjacent = 7

Hypotenuse² = opposite² + adjacent ²

10² = x² + 7²

100 = x² + 49

100 - 49 = x²

51 = x²

x = √51

x = 7.14142842854284

Approximately,

x = 7.14

Learn more about right triangle:

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Marisa has 24 quarters to play games at a carnival. She only wants to play Ring Toss and Knock Down the Clown. If each game cost

Kryger [21]

Answer:

Step-by-step explanation:

24 divided by 3 is 8 divided by 2 because of the two games is 4

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3 years ago

How do you find rate of change? O change in y/change in x. change in x/change in y

JulijaS [17]

Rate of change is used to mathematically describe the percentage change in value over a defined period of time. (I looked that up)

So the rate of change is the slope and slope is the ratio of change between any 2 points on a line.

Slope measures the steepness of a line.

Slope is the ratio of the vertical change, called the rise, to the horizontal change called the run between any 2 points on the line.

Slope is written as a fraction in simplest form. 5/10=1/2

Variable for slope: M.

Reply for any more questions, also sorry for a slow response. I thought a lot.

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3 years ago

A pound of chocolate costs 7 dollars. Pablo buys p pounds. Write an equation to represent the total cost c that Pablo pays.

mixas84 [53]

8c=phope

Step-by-step explanation:

Hope this helps!!!

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6 0

3 years ago

Read 2 more answers

The graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the ho

topjm [15]

Answer:

Option (D)

Step-by-step explanation:

Equation to represent the household expenditure per week will be in the form of,

y = mx + b

Where m = slope of the line

b = y-intercept

From the graph attached,

Since, line of best fit touches the positive side of the y-axis, y-intercept will be positive.

Since, y-values on the graph are decreasing with the increase in the x-values,

Slope of the graph will be negative.

[Slope = $\frac{\text{Rise}}{\text{Run}}$ , Since rise of the line is negative and run is positive, slope will be negative]

By these properties equation of the linear graph will be,

y = -0.34x + 5.19

Option (D) will be the correct option.

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3 years ago

Read 2 more answers

Abnormalities In the 1980s, it was generally believed that congenital abnormalities affected about 5% of the nation’s chil-dren.

Ainat [17]

Answer:

Null hypothesis: $p\leq 0.05$

Alternative hypothesis: $p>0.05$

The conditions and requirements are explained on detail below.

Step-by-step explanation:

1) Data given and notation n

n=384 represent the random sample taken

X=46 represent the children with abnormalities in the sample

$\hat p=\frac{46}{384}=0.120$ estimated proportion of children with abnormalities in the sample

$p_o=0.05$ is the value that we want to test

$\alpha$ represent the significance level (no given)

z would represent the statistic (variable of interest)

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

p= proportion of children with congenital abnormalities

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of children with congenital abnormalities exceeds 5%. :

Null hypothesis: $p\leq 0.05$

Alternative hypothesis: $p>0.05$

We assume that the proportion follows a normal distribution.

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,higher or less) from a hypothesized value $p_o$ .

<em>Check for the assumptions that he sample must satisfy in order to apply the test</em>

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

$np_o =384*0.05=19.2>10$

$n(1-p_o)=384*(1-0.05)=364.8>10$

3) Calculate the statistic

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

$z=\frac{0.120 -0.05}{\sqrt{\frac{0.05(1-0.05)}{384}}}=6.29$

4) 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 significance level is not provided usually is $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =P(z>6.29)=1.59x10^{-10}$

Based on the p value obtained and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of children with abnormalities exceeds 0.05 or 5% .

4 0

4 years ago