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3 years ago

which type of triangle has side lengths of 5 in, 6 in, and 7 in? A) acute B) equilateral C) obtuse D) right

Mathematics

1 answer:

Rina8888 [55]3 years ago

8 0

Step-by-step explanation:

we know this is not equilateral and right because not equal in size and two side square is not equal to hypotenuse the ans is a or b

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slamgirl [31]

Answer:D

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8.5%/100 = 0.085 per year

putting time into years for simplicity

6 months ÷ 12 months/year = 0.5 years

then, solving our equation

I = 10000 × 0.085 × 0.5 = 425

I = $ 425.00

on a principal of $ 10,000.00

at a rate of 8.5% per year

for 0.5 years (6 months) is $ 425.00

3 0

2 years ago

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

mihalych1998 [28]

Answer:

We conclude that the mean number of calls per salesperson per week is more than 37.

Step-by-step explanation:

We are given that the Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors.

To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls.

Let $\mu$ = true mean number of calls per salesperson per week.

SO, Null Hypothesis, $H_0$ : $\mu \leq$ 37 {means that the mean number of calls per salesperson per week is less than or equal to 37}

Alternate Hypothesis, $H_A$ : $\mu$ > 37 {means that the mean number of calls per salesperson per week is more than 37}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean number of calls made last week = 40

s = sample standard deviation = 5.6 calls

n = sample of sale representatives = 41

So, test statistics = $\frac{40-37}{\frac{5.6}{\sqrt{41} } }$ ~ $t_4_0$

= 3.43

Hence, the value of test statistics is 3.43.

Now at 0.025 significance level, the t table gives critical value of 2.021 at 40 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 3.43 > 2.021, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the mean number of calls per salesperson per week is more than 37.

4 0

3 years ago

Suppose that y varies inversely with x.Write an equation for the inverse variation Y=4 when x=7

myrzilka [38]

Answer:

If y varies inversely as x, then we write it as:

y = k/x

where k is some constant.

If we multiply both sides of this equation by x we get an equation for k:

k = x*y

We are given that y=4 when x=7, therefore: