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Brums [2.3K]
3 years ago
11

PLEASE HELP!! URGANT!!

Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

Answer:

9

Step-by-step explanation:

equation: QRI+IRS=QRS

calculate it and you get x=9

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The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centime
Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

X: height of a college student. (cm)

There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.

The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:

X[bar]~~N(μ;σ2/n)

Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

98% CI

1 - α: 0.98

⇒α: 0.02

α/2: 0.01

Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99} =2.334

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

174.5 ± 2.334* \frac{6.9}{\sqrt{50} }

[172.22; 176.78]

With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].

I hope it helps!

4 0
2 years ago
Amelia stores her gardening supplies in two cube shaped boxes. The smaller box has a volume of 100 inches to the third power. Am
Solnce55 [7]

Answer:

1000000 for the smaller box.

I need more info for the second box

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
On Saturday, Joe runs m miles in 1.5 hours. On Sunday, he runs four times as far in six hours. If his average speed for two days
RideAnS [48]
If he runs 6 mph for 1.5 hours, he will run a total of 9 miles
8 0
3 years ago
1. Mr. Morrison has decided that an angle of 15° is
Rasek [7]

Answer:

the height of the front doorstep is 12 cm

angle given is 15 degree

so, the length of the ramp wooden peice should be 44.7

mark me brainliest plsss

plssss

3 0
3 years ago
The width of a rectangle field is 3h yards and its length is 3 yards longer than the width. The field has a fence around its per
d1i1m1o1n [39]

Answer:

Part a) P=(12h+2)\ yd

Part b) The expression that represent the cost of fencing the field is (336h+56)

Part c) \$1,736

Step-by-step explanation:

<u>The complete question in the attached figure</u>

Part a) we know that

The perimeter of the rectangular field (excluding the width of the gate) is equal to

P=2(L+W)-4

we have

L=(3h+3)\ yd\\W=3h\ yd

substitute the given values

P=2(3h+3+3h)-4

P=2(6h+3)-4\\P=12h+6-4\\P=(12h+2)\ yd

Part b) we know that

To find out the cost of fencing the field (excluding the gate) , multiply the perimeter by the cost of $28 per yard

so

28(12h+2)=336h+56

Part c) we have

h=5

substitute the value of h in the expression of the cost

336(5)+56=\$1,736

8 0
3 years ago
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