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garik1379 [7]
3 years ago
13

Please help me out with this thingyyy!!!!!

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

1. 18

2. 8

Step-by-step explanation:

the mean is calculated by:

total / number of values

the current total is

10 + 14 + 8 + 16 + 12 = 60

now when we add another number there will be 6 numbers and we want the mean to be 13 so:

total / 6 = 13

total = 13 × 6

total = 78

but our current total is 60

so the missing number is 78 - 60 = 18

for part 2:

if we remove a number there will be 5 values and we want the mean to be 14 so:

total / 5 = 14

total = 14 × 5

total = 70

but we have the total of 6 numbers as 78 so we have to remove 78 - 70 = 8

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Answer:

4).  (x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

x^2 + y^2 + 4x - 2y - 20 = 0

x^2 + 4x + y^2 - 2y = 20

Completing the square on the x and y terms:

(x + 2)^2  - 4 + (y - 1)^2 - 1 = 20

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3 years ago
Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whethe
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Answer:

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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).

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8 0
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Answer:

The cost of bagel is $0.8 and that of muffins is $1.25.

Step-by-step explanation:

Let the bagels cost is x and muffins cost is y.

ATQ,

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Multiply equation (1) by 2 such that,

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Now subtract equation (2) and (3).

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