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3 years ago

Hello can you please help me posted picture of question

Mathematics

1 answer:

vivado [14]3 years ago

4 0

Vertex of a parabola exists at:

$( \frac{-b}{2a},y( \frac{-b}{2a}))$

b = coefficient of x term = -4
a = coefficient of squared term = 1

So,

$\frac{-b}{2a}= \frac{4}{2}=2$

and

$y(2)=(2)^{2}-4(2)+1=-3$

Therefore, the vertex occurs at (2, -3)

Thus the correct answer is option D

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The government of Preon (a small island nation) was voted in at the last election with 58% of the votes. That was 2 years ago, a

mel-nik [20]

Answer:

a) $z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

b) $p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

n=114 represent the random sample taken

$\hat p=0.684$ estimated proportion of people that their approval rating might have changed

$p_o=0.58$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:

Null hypothesis: $p=0.58$

Alternative hypothesis: $p \neq 0.58$

Part a

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

Calculate the statistic

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

$z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

Part b: Statistical decision

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

7 0

3 years ago

The turn signal Car A blinks 7 times every 5 seconds. The turn signal on Car B blinks 5 times every 4 seconds. In one minute, ho

Black_prince [1.1K]

Answer: 6 - 10 blinks would probably be a reasonable target.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIEST ASAP!

musickatia [10]

Answer:

D -24/25

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

cos(x) = ⅘

sin²(x) = 1 - cos²(x) = 1 - (⅘)²

sin²(x) = 9/25

sin(x) = -⅗

(Because 4th quadrant)

sin(2x) = 2(-⅗)(⅘)

= -24/25

4 0

3 years ago

F(x)= x +4<br> g(x) = 3x<br> Work out the value of gf (5).

MrMuchimi

The value of gf(5) for the given two expressions is 135.

According to the question,

We have the following information:

f(x)= x +4

g(x) = 3x

Now, in order to find the value of gf(5), we will first find the value of gf.

Now, we will multiply these two expressions:

3x(x+4)

Now, the terms outside the brackets need to multiplied inside the bracket:

$3x^{2} +12x$

Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:

3*5*5+12*5

75+60

135

Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.

To know more about value here

brainly.com/question/20562282

#SPJ1

8 0

1 year ago

A half-circle is joined to an equilateral triangle with side lengths of 12 units. What is the perimeter of the resulting shape?

krek1111 [17]

Answer:

P = 42.84 cm

Step-by-step explanation:

A half-circle is joined to an equilateral triangle with side lengths of 12 units.

We need to find the perimeter of the resulting shape.

The perimeter of the half cirle is πr.

The diameter of the circle is 12. It means radius is 6 units.

An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :

P = πr + 12 +12

= 3.14(6) + 24

= 42.84 cm

Hence, the perimeter of the resulting shape is 42.84 cm.

8 0

3 years ago