The lengths of the three sides of a triangle (in feet) are consecutive integers. If the perimeter is 87 feet, find the value of the longest of the three side lengths.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

You divide it by 3 to get 29

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With respect to the diagram, which relationship is false if ∠FEA is supplementary to ∠HGD? m∠FEB + m∠HGD = 180° ∠HGD≅∠FEB m∠HGC + m∠FEB = 180° ∠FEA≅∠HGC Done

Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93.5. Which of the following correctly depicts the z-statistic for this data?0.28
0.36
1.98
2.63

Answers

Answer:

Option 3rd is correct

1.98

Step-by-step explanation:

Using the formula:

$z = (X-\mu)/((\sigma)/(√(n)))$

where,

X is the sample mean, $\mu$ is the mean, $\sigma$ is the standard deviation and n is the sample size.

As per the statement:

Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93.5

⇒X = 93.5, n = 2 , $\mu = 92$ and $\sigma = 2$

Substitute these given values to calculate z;

$z = (93.5-92)/((2)/(√(7))) = (1.5)/(0.755928946) = 1.98431348$

Therefore, the z-statistic for the given data is, 1.98

Answer:

C. 1.98 on edu

Step-by-step explanation:

Event B is dependent on event A, and event A occurs before event B. Which formula can be used to find the probability of event A?a. P(A and B)
P(B)

b. P(A and B)
P(B|A)

c. P(A and B)
P(A|B)

d. P(A and B) × P(B|A)
e. P(A and B) × P(B)

Answers

Answer:

Option d - $P(A)=\text{P(A and B)} * P(B|A)$

Step-by-step explanation:

Given : Event B is dependent on event A, and event A occurs before event B.

To find : Which formula can be used to find the probability of event A?

Solution :

Event B is dependent on event A

i.e. The intersection of A and B - A and B

Probability of event B is dependent on event A is P(A and B)

Event A occurs before event B

i.e. B|A

Probability of event A occurs before event B is P(B|A)

Event B is dependent on event A, and event A occurs before event B is

$\text{P(A and B)} * P(B|A)$

The formula which shows the probability of event A is

$P(A)=\text{P(A and B)} * P(B|A)$

Therefore, Option d is correct.

The right answer for the question that is being asked and shown above is that: "d. P(A and B) × P(B|A)." Event B is dependent on event A, and event A occurs before event B. the formula that can be used to find the probability of event A is P(A and B) × P(B|A)

An exterior angle at the base of an isosceles triangle measures 140 degrees. What is the measure of the vertex angle?

Answers

The correct answer for the question that is being presented above is this one: 40 degrees, 40 degrees, and 100 degrees.

Given that the exterior angle is 140 degrees, then the supplementary angle is = 180 - 140 = 40 degrees.

The vertex angles are the following: 40, 40, and 100.

A basketball player made 40% of the shots she attempted. If she made 32 baskets, how many shots did she attemp A.32 B.40 C.64 D. 80

Answers

D 80
32/40 *100
Precent proportions
32/x = 40/100
Cross multiply

Perry Mazza wants to borrow $30,000 from the bank. The interest rate is 6% and the term is for 5 years. What is the amount of interest paid?

Answers

9514 1404 393

Answer:

$9000

Step-by-step explanation:

If the loan is a simple interest loan paid in one lump sum, the amount of interest is ...

I = Prt . . . . . . annual rate r for t years

I = $30,000·0.06·5 = $9,000

The interest paid will be $9,000.

Answer:

Step-by-step explanation:

9,000

Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationale.2/3x + 3/4 = 8 8x=87