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2 years ago

Use a trigonometric function to find the value of x

Mathematics

1 answer:

Alex17521 [72]2 years ago

5 0

(180-30)/2 would be the equation and the answer is 150/2

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You're conducting a significance test for H0 : p = .35, Ha : p < .35. In a sample of size 40, you identify a count of 11 succ

nordsb [41]

Answer: c. –1 and .1587

Step-by-step explanation:

As per given , we have

Null hypothesis : $H_0 : p= 0.35$

Alternative hypothesis : $H_1 : p< 0.35$

Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .

Z -Test statistic for proportion = $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where p= population proportion

$\hat{p}$ = sample proportions

n= Sample size.

Let x be the number of successes.

For n= 40 and x= 11

$\hat{p}=\dfrac{x}{n}=\dfrac{11}{40}=0.275$

Then , $z=\dfrac{0.275-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{40}}}$

$z=\dfrac{-0.075}{\sqrt{0.0056875}}$

$z=\dfrac{-0.075}{0.075415515645}$

$z=-0.99449031619\approx-1$

By using z-table ,

P-value for left-tailed test = P(z<-1)= 1-P(z<1) [∵ P(Z<-z)= 1-P(Z<z) ]

= 1-0.8413

=0.1587

Hence, the -score and P-value are <u>–1 and 0.1587</u> .

So the correct option is c. –1 and .1587

8 0

2 years ago

PLZZ HELP RN ASAP I NEED THIS RN TYSM

a_sh-v [17]

Answer:

Step-by-step explanation:

a + 90 + 56 = 180

a + 146 = 180

a = 180 - 146

a = 34

8 0

2 years ago

Read 2 more answers

Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

3 0

1 year ago

Help please last one

Monica [59]

Y=1/2x+8

Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out

8 0

1 year ago

The length and

Iteru [2.4K]

Answer:

42 yards

Step-by-step explanation

There are 4 sides to a rectangle. 2 lengths, and 2 widths. That means that you multiply both values by 2 and then add them together, so 40 + 2. A more basic way to think of it is 20+20+1+1. Therefore, the perimeter is 41 yards.

7 0

2 years ago