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3 years ago

I'm trying to figure out how much money I'm left with

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

the answer is 60.35, because the 70$ answer is how much you get after work, then the 62$ one is after you pay the 12$ for dinner but then the 60.35 is how much you’re left with after you leave the tip

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CAN SOMEONE HELP PLEASE m4A=42°, b=10, c= 12. What is the length of a to the nearest tenth?

kipiarov [429]

Answer:

a = 8.1

Step-by-step explanation:

Use the cosine rule:

$a = \sqrt{b^2 + c^2 -2 bc \space\ cosA }$

Substituting the values:

$a = \sqrt{10^2 + 12^2 -2(10)(12) \space\ cos 42 \textdegree\ }$

⇒ $a = \sqrt{4 \space\ cos 42\textdegree\ }$

⇒ $a = 8.1$

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2 years ago

Parallelograms are four sided figures that have two pairs of opposite, parallel sides. Quadrilateral ABCD

otez555 [7]

Answer:

(A) It would have to lie on AB because DC would rotate halfway around M. B would lie on D and A would lie on C.

(B) AD would lie on the BC line. D would lie on B and A would lie on C.

8 0

2 years ago

Fowle Marketing Research Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean tim

sergejj [24]

Answer:

a) Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

b) $t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

c) $p_v =P(t_{34}>2.958)=0.0028$

d) If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

Step-by-step explanation:

Data given and notation

The sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And the sample deviation is:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=17$ represent the sample mean

$s=4$ represent the sample standard deviation

$n=35$ sample size

$\mu_o =15$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

Part a State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less or equal than 15, the system of hypothesis would be:

Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

Since we don't know the population deviation, 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".

Part b Calculate the statistic

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

$t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

Part c P-value

The degrees of freedom are given by:

$df = n-1= 35-1=34$

Since is a right tailed test the p value would be:

$p_v =P(t_{34}>2.958)=0.0028$

Part d Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

7 0

3 years ago

Find the surface area of the triangular prism

ArbitrLikvidat [17]

Answer:

168.43524

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1

2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524

5 0

3 years ago

Need to figure out what number is rational. Thanks in advance.

GarryVolchara [31]

I think the answer you have there is correct

8 0

3 years ago

Read 2 more answers