Which table has a constant of proportionality between y and x of 4

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. Find the length of

lilavasa [31]

Answer:

Altitude of the right triangle is 4 cm.

Step-by-step explanation:

The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.

8 0

2 years ago

A bank branch located in a commercial district of a city has the business objective of improving the process for serving custome

choli [55]

Answer:

We conclude that the mean waiting time is more than or equal to 5 minutes at 5% level of significance.

Step-by-step explanation:

We are given that waiting time is defined as the time the customer enters the line until he or she reaches the teller window.

A random sample of 15 customers is selected. Results found that the sample mean waiting time was 4.287 minutes with a sample standard deviation of 1.638 minutes.

Let $\mu$ = mean waiting time.

SO, Null Hypothesis, $H_0$ : $\mu$ $\geq$ 5 minutes {means that the mean waiting time is more than or equal to 5 minutes}

Alternate Hypothesis, $H_A$ : $\mu$ < 5 minutes {means that the mean waiting time is less than 5 minutes}

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

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

where, $\bar X$ = sample mean waiting time = 4.287 minutes

s = sample standard deviation = 1.638 minutes

n = sample of customers = 15

So, the test statistics = $\frac{4.287 -5}{\frac{1.638}{\sqrt{15} } }$ ~ $t_1_4$

= -1.686

The value of t test statistics is -1.686.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -1.761 at 14 degree of freedom for left-tailed test.

Since our test statistic is more than the critical value of t as -1.686 > -1.761, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean waiting time is more than or equal to 5 minutes.

5 0

2 years ago

y = x^{4} - x^{3} - 28x^{2} - 20x + 48 How many possible negative real zeros, positive real zeros, and non-real zeros does this

OleMash [197]

$f(x)= x^{4} - x^{3} - 28x^{2} - 20x + 48$

There are two changes of sign, so there are 2 or 0 possible positive roots.

$f(-x)= x^{4} +x^{3} - 28x^{2}+ 20x + 48$

There are two changes of sign, so there are 2 or 0 possible negative roots.

There are 4,2 or 0 possible non-real roots.

3 0

2 years ago

The Chiquita Bananas are on sale for $3.72 for 6 pounds of bananas. Miller's Bananas are on sale for $0.64 per pound. Which comp

puteri [66]

Answer:

millers is cheper instead of 3.72 for 6 pond 0.64 is better because what if some one only wants 1 pond then they only should pay 64 cents

Step-by-step explanation:

3 0

2 years ago

AD = 3x + 4 and CD = x + 6, what is the value of x?

lesantik [10]

Your answer would be x = 1.

The rules for a kite shape is that two pairs are of equal length, which means we can say that AD = CD and thus form an equation:

3x + 4 = x + 6
- x
2x + 4 = 6
- 4
2x = 2
÷ 2
x = 1

I hope this helps!

5 0

2 years ago