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lakkis [162]
3 years ago
11

Four times a number, minus 9, is equal to three times the number, plus 2.

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
Answer is
4x-9 = 3a+2
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One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples
JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11

t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708

[(82.3-81.2) ± 1.708* (6.11*\sqrt{\frac{1}{15}+\frac{1}{12}  }]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

3 0
3 years ago
How many times does 8 go into 12?
In-s [12.5K]

1.6666666666666... because 8 divided by 12=1.6666666666...

6 0
3 years ago
A department store buys 500 shirts at a cost of $3,500 and sells them at a selling price of $10 each. Find the percent markup.​
Ratling [72]

Answer: 30 percent.

Step-by-step explanation: First do 3,500 divided by 10 to find the cost of each shirt. Second subtract 7 from 10 which is 3. Then divide 3 by ten because you always divide by the amount being paid for. So 3 divided by 10 is .3 then multiply .3 by 100 which is 30 and that is your percent markup

5 0
2 years ago
The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

b = 6 + 2h

Substituting we have:

88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0

We divide between 2 on both sides:

h ^ 2 + 3h-88 = 0

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

(h + 11) (h-8) = 0

We have two roots:

h = -11\\h = 8

We choose the positive value.

Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

5 0
3 years ago
Read 2 more answers
Find each rate and unit rate?
VashaNatasha [74]
-60 miles per hour
-12 customers per day
-2.5 meters per second
-$1.59 per pound

You divide the first number by the second number for all of these
7 0
3 years ago
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