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nignag [31]
3 years ago
14

(-3x2 + 4x – 5) – (7x2 – 5x + 3)

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

-3x^{2} \\ + 9x - 22

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Law Incorporation [45]

side length 6 or 7

Area = 42 cm

Area = 38 cm

Side length 7 or 8

45 cm

61 cm

Side length 8 or 9

80 cm

75 cm

8 0
3 years ago
Read 2 more answers
Tony buys a burger for $3 and a bottle of juice for $1.50 every day. Which expression shows the total amount he would spend on h
fomenos
It would be $22.50, because if you buy a burger for $3 and you get it for a 5 day period which would be $15. And then if you buy a juice for $1.50 for 5 days would be $7.50. So you would add $15 and $7.50 would be $22.50 for the whole 5 days.
7 0
4 years ago
Weight gain during pregnancy. In 2004, the state of North Carolina released to the public a large data set containing informatio
pychu [463]

Answer:

1. B. H0: μ1−μ2=0, HA: μ1−μ2≠0

2. z=1.2114

3. P-value=0.2257

4. Do not reject H0

Step-by-step explanation:

We have to perfomr an hypothesis test to see if there is strong evidence that there is a significant difference between the two population means.

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2\neq0

Being μ1 the mean average gain for younger mothers and μ2 the mean average gain for mature mothers.

(NOTE: we are comparing means, not proportions, as it is the random variable is the weight gain).

As we are claiming "strong evidence", the level of significance will be 0.01.

For younger mothers, the sample size is n1=840, the sample mean is 30.7 and  the sample standard deviation is s1=14.91.

For mature mothers, the sample size is n2=132, the sample mean is 29.15 and the sample standard deviation is s2=13.46.

The difference between means is

M_d=\mu_1-\mu_2=30.7-29.15=1.55

The standard error of the difference between means is

s_M=\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}=\sqrt{\dfrac{14.91^2}{840}+\dfrac{13.46^2}{132}}=\sqrt{ 0.2647+1.3725}=\sqrt{1.6372}\\\\\\s_M=1.2795

Then, the statistic can be calculated as:

z=\dfrac{M_d-(\mu_1-\mu_2)}{s_M}=\dfrac{1.55-0}{1.2795}=1.2114

The P-value for this z-statistic in a two tailed test is:

P-value=2P(z>1.2114)=0.2257

As the P-value is greater than the significance level, the null hypothesis failed to be rejected.

There is no enough evidence to claim that the real average weight gain differs from mature and youger mothers.

5 0
4 years ago
How would you solve the following problem?
seraphim [82]
The answer should be 1/9y^4
5 0
3 years ago
What is the value of y in the sequence below<br> 2, У, 18,-54, 162
Maslowich

Answer:

<em>y=-6</em>

Step-by-step explanation:

<em>Geometric Sequences</em>

Any given sequence is said to be geometric if each term a_n can be obtained as the previous term a_{n-1} by a constant value called the common ratio.

a_n=a_{n-1}.r

or equivalently

a_n=a_1.r^{n-1}

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

\displaystyle \frac{162}{-54},\ \frac{-54}{18} and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0
3 years ago
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