What do you look for when solving name word problem

Graph the equation y=-1(x-3)^2+4

Elena L [17]

Answer:

Direction : Open Down

Vertex : (3,4)

Focus : (3,15/4)

Axis of Symmetry : x=3

Directrix : y=17/4

x : 1,2,3,4,5

y : 0,3,4,3,0

Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!

Hope this helps you out! ☺

3 0

3 years ago

What are the coordinates of the points (2,-3) after a counter clockwise rotation of 90 about the Origin?

Ber [7]

Step-by-step explanation:

(2, -3) is in the 4th quadrant. By the counter clockwise rotation of 90° around the origin, it will be in the 1st quadrant.

Any point in the 1st quadrant has both positive x and y coordinates.

So the answer is (3, 2).

4 0

3 years ago

g A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is cha

leva [86]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502$

$p_v =2*P(Z>2.502)= 0.0123$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=410$ represent the number of people indicating that their financial security was more than fair for the recent year

$X_{2}=245$ represent the number of people indicating that their financial security was more than fair for the year before

$n_{1}=1000$ sample 1 selected

$n_{2}=700$ sample 2 selected

$p_{1}=\frac{410}{1000}=0.410$ represent the proportion estimated of indicating that their financial security was more than fair this year

$p_{2}=\frac{245}{700}=0.35$ represent the proportion estimated of indicating that their financial security was more than fair the year before

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

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

$\alpha$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+245}{1000+700}=0.385$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>2.502)= 0.0123$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.

7 0

3 years ago

Can anyone please help me find the length of X?

Alex_Xolod [135]

Solution:

Note that:

2(Perimeter of smaller triangle) = Perimeter of larger triangle

Using the perimeter of the smaller triangle, solve for x.

2(Perimeter of smaller triangle) = Perimeter of larger triangle
=> 2(3.5 + x + h) = 7 + 4 + 2h
=> 7 + 2x + 2h = 7 + 4 + 2h
=> 2x = 4
=> x = 2

The length of x is 2 units.

8 0

2 years ago

A tennis player gets an ace on 35% of his serves. Out of 80 serves about how many aces will he get

kari74 [83]

Answer:

28

Step-by-step explanation:

His aces on 80 serve = 35% of 80

= 35/100 × 80

= 28

7 0

3 years ago

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