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sweet-ann [11.9K]
3 years ago
9

Identify the vertex, the axis of syn

Mathematics
1 answer:
34kurt3 years ago
3 0

Good evening ,

Answer:

Vertex (-4 , 0)

axis x = -4

It’s a parabola.

Min = 0

Step-by-step explanation:

x2 + 8x + 16 = (x + 4)².

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(729x^3y^20z^11)^1/5
s2008m [1.1K]

Answer:

729/5 • x^3 • y^20 • z^11

Step-by-step explanation:

7 0
3 years ago
70 divided by -3.5. How do I show the long division?
KiRa [710]

When dividing with negative and positive, the quotient is negative. 70 / -3.5 would be -2. Here is what the long division looks like:

4 0
3 years ago
Read 2 more answers
Brian and Bob visit a ski resort. Bob buys 2 full passes and 3 restricted passes. The total cost of his passes is £130.
Jobisdone [24]

Answer:

2x+3y=130

Step-by-step explanation:

Let x=cost of full pass

Let y=cost of restricted pass

Brian and Bob bought 2 full and 3 restricted passes.

Have a good day!

6 0
2 years ago
Solve for A <br>A 30 Degrees <br>B 60 Degrees <br>C 120 Degrees<br> D 45 Degrees​
Lena [83]

Answer:

Its, D = 45, just had this question

Step-by-step explanation:

6 0
2 years ago
Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whethe
s2008m [1.1K]

Answer:

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (P-value = 0.01537).

Step-by-step explanation:

<em>The question is incomplete: the picture attached gives the missing sample data.</em>

This is a hypothesis test for the difference between proportions.

The claim that is going to be stated in the alternative hypothesis is that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent. This means that the proportions differ significantly.

Then, the null and alternative hypothesis can be written as:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1 (Male celebrity), of size n1=150 has a proportion of p1=0.273.

p_1=X_1/n_1=41/150=0.273

The sample 2 (Female celebrity), of size n2=150 has a proportion of p2=0.407.

p_2=X_2/n_2=61/150=0.407

The difference between proportions is (p1-p2)=-0.133.

p_d=p_1-p_2=0.273-0.407=-0.133

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{41+61.05}{150+150}=\dfrac{102}{300}=0.34

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.34*0.66}{150}+\dfrac{0.34*0.66}{150}}\\\\\\s_{p1-p2}=\sqrt{0.001496+0.001496}=\sqrt{0.002992}=0.055

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.133-0}{0.055}=\dfrac{-0.133}{0.055}=-2.44

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z

As the P-value (0.01537) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (the proportions differ).

6 0
3 years ago
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