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muminat
2 years ago
6

A is the point with coordinates (5,9) B is the point with coordinates (d,17) The line AB has gradient 4 Work out the value of d​

Mathematics
1 answer:
yarga [219]2 years ago
3 0

Answer:

d=9

Step-by-step explanation:

The gradient of straight line is given by

m=\frac{y_2-y_1}{x_2-x_1}

Plug in our knows

4=\frac{17-9}{d-5} \text{ Solve for d} \\\\4(d-5)=8\\\\d-5=4\\d=9

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Tammy has planted a small young tree in her yard. To allow for the trees growth she needs 15 ft in all directions around the bas
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3 0
3 years ago
A random sample of 49 measurements from one population had a sample mean of 15, with sample standard deviation 5. An independent
kotykmax [81]

Answer:

Comparing the p value with the significance level \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.  

Step-by-step explanation:

\bar X_{1}=15 represent the mean for sample 1

\bar X_{2}=18 represent the mean for sample 2

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=49 sample size for the group 2  

n_{2}=64 sample size for the group 2  

\alpha=0.01 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

And the degrees of freedom are given by df=n_1 +n_2 -2=49+64-2=111  

t-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.

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

t=\frac{(15-18)-0}{\sqrt{\frac{5^2}{49}+\frac{6^2}{64}}}}=-2.897

P value

Since is a bilateral test the p value would be:  

p_v =2*P(t_{111}  

Comparing the p value with the significance level \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.  

7 0
3 years ago
I) 54,2 X 94= ?
CaHeK987 [17]

Answer:

I) 54.2 X 94 = 5094.8

J) 36.39 X 28 = 1018.92

K) 43.73 X 74.4 = 3253.512

5 0
3 years ago
Read 2 more answers
Roger grew 42 plants with 14 seed packets. With 16 seed packets, how many total plants can Roger have in his backyard?
Step2247 [10]

Answer:

48 Plants

Step-by-step explanation:

3 per packet

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Hope this helped!

5 0
2 years ago
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If f(x)=2x-1 and g(x)=-2find [g f](x)
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Answer:

f(−2)=−5

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