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VARVARA [1.3K]
2 years ago
11

Help me out plz it’s due rn

Mathematics
2 answers:
IRISSAK [1]2 years ago
7 0

Answer:

x= square root (10); x=-square root (10) or 3.16 and -3.16

Step-by-step explanation:

MatroZZZ [7]2 years ago
5 0

Answer:

Step-by-step explanation:

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The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
romanna [79]

Answer:

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation  

\bar X=1440 represent the mean annual premium value for the sample  

s=165 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =1503 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1503  

Alternative hypothesis:\mu < 1503  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(24)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.  

7 0
3 years ago
Marianna is painting a ramp for the school play in the shape of a right triangular prism. The ramp has dimensions as shown below
garri49 [273]
32 and 44 I hope I got it right
6 0
3 years ago
The total cost of the trip can be found by adding these components: Entrance fee per student: $5(29) Lunch costs: $4(29 + 6) Bus
N76 [4]

Given:

Entrance fee per student: $5(29)

Lunch costs: $4(29 + 6)

Bus fees: $25 + 8($2 + $3)

Total cost: 5(29) + 4(35) + 25 + 8(5)

To find:

The equivalent expressions of the total cost that use the properties of operations to simplify the math.

Solution:

We have,

Total cost = 5(29) + 4(35) + 25 + 8(5)

To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit.

Total cost = 5(20+9) + 4(30+5) + 25 + 40

Therefore, the correct option is B.

6 0
3 years ago
Read 2 more answers
A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

4 0
3 years ago
Von Bertalanffy's equation states that the rate of growth in length of an individual fish is proportional to the difference betw
tiny-mole [99]

Answer:

dT/dt = k(L-Lt)

Step-by-step explanation:

Let the rate of growth in length be dL/dt

The difference between the current length L and the asymptotic length Lt will be expressed as L-Lt

If the rate of growth in length of an individual fish is proportional to the difference between the current length L and the asymptotic length Lt, this is expressed as;

dT/dt ∝ L-Lt

dT/dt = k(L-Lt) where

k is the proportionality constant

Hence the differential equation that expresses this idea is written as;

dT/dt = k(L-Lt)

8 0
3 years ago
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