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3 years ago

How can I solve for X in this Equation? -5 < X < 0

Mathematics

1 answer:

V125BC [204]3 years ago

8 0

Answer:

consider the < as = signs

and take -5 to the other side making it a +

x<0+5

x<5

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A woman is looking for a biker square office. She finds at office twice the area of her current office. If the perimeter of her

MatroZZZ [7]

Answer:

968

Step-by-step explanation:

Current office length = 22

22 * 22 = 484

484 * 2 = 968

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3 years ago

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(the dimensions are shown in the picture)

Oksanka [162]

Answer:

Total surface area of the prism =145.32 Square centimeters

Step-by-step explanation:

The given figure is a rectangular prism with the given dimensions of :

length(L)= 10.3 cm

Width(W)=2.2 cm

Height(H)=4 cm

Total surface area of the rectangular prism is:

$= 2(L*W+W*H+H*L)\\\\=2((10.3*2.2)+(2.2*4)+(4*10.3))\\\\=2(22.66+8.8+41.2)\\\\=2(72.66)\\\\=145.32cm^2\\\\$

Total surface area of the prism is 145.32 Square centimeters

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3 years ago

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A recipe needs 3/4 cup of water for every 2 cups of flour. If you to use 6 cups of flour, how much water will you need?

Diano4ka-milaya [45]

Answer:

2 1/4 or 2.25

Step-by-step explanation:

2*3= 6

3/4*3= 2 1/4

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3 years ago

What is one effect of World Bank loans to developing countries?

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One example is they help them develop projects

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2 years ago

We're testing the hypothesis that the average boy walks at 18 months of age (H0: p = 18). We assume that the ages at which boys

marusya05 [52]

Answer:

II. This finding is significant for a two-tailed test at .01.

III. This finding is significant for a one-tailed test at .01.

d. II and III only

Step-by-step explanation:

1) Data given and notation

$\bar X=19.2$ represent the battery life sample mean

$\sigma=2.5$ represent the population standard deviation

$n=25$ sample size

$\mu_o =18$ 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)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean battery life is equal to 18 or not for parta I and II:

Null hypothesis: $\mu = 18$

Alternative hypothesis: $\mu \neq 18$

And for part III we have a one tailed test with the following hypothesis:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

3) Calculate the statistic

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

$z=\frac{19.2-18}{\frac{2.5}{\sqrt{25}}}=2.4$

4) P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=25-1=24$

Since is a two tailed test for parts I and II, the p value would be:

$p_v =2*P(t_{(24)}>2.4)=0.0245$

And for part III since we have a one right tailed test the p value is:

$p_v =P(t_{(24)}>2.4)=0.0122$

5) Conclusion

I. This finding is significant for a two-tailed test at .05.

Since the $p_v$ . We reject the null hypothesis so we don't have a significant result. FALSE

II. This finding is significant for a two-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

III. This finding is significant for a one-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

So then the correct options is:

d. II and III only

6 0

3 years ago