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BaLLatris
2 months ago
12

The coordinates of the vertices of the triangle are (–8, 8), (–8, –4), and . Consider QR the base of the triangle. The measure o

f the base is b = 18 units, and the measure of the height is h = units. The area of triangle PQR is square units.
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
4 0
The triangle's vertex coordinates are (–8, 8), (–8, –4), and (10, –4). QR serves as the base of this triangle, measuring b = 18 units, with a height of h = 12 units. The area of triangle PQR is 108 square units.
lawyer [12.5K]2 months ago
3 0
Answer: (10,-4), 12 units, 108 square units. Step-by-step explanation:
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Clarissa's income puts her in the bottom tax bracket (10%) last year. During the same year, she earned $250 in dividends and $75
Leona [12618]

Answer:

75 dollars in coupons.

250 dollars in dividends.

She achieved a profit of 600 - 425 = 175 from her stock investment.

Her complete income sums up to 250 + 75 + 175 = 500.

If all this is taxed at 10%, her tax will be 500 *.1 = 50.

8 0
2 months ago
A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit
Inessa [12570]

Answer: D) \$50\pm\$11.08

Step-by-step explanation:

Based on the provided information, we have

Sample size: n= 15

sample mean: \overline{x}=\$50.50

Sample standard deviation: s= $20

Since the population standard deviation is not known, we utilize a t-test.

For a significance level of 95% confidence: \alpha=1-0.95=0.05

Critical t-value : t_{n-1, \alpha/2}=t_{014,0.025}=2.145  [Using the Student's t-value table]

The required 95% confidence interval yields:-

\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}\\\\ =\$50.50\pm(2.145)\dfrac{\$20}{\sqrt{15}}\\\\\approx \$50\pm\$11.08

Thus, the sought-after 95% confidence interval for the mean amount spent by credit card customers during their initial visit to the new store in the mall, assuming normal distribution of the spending amounts, is:

\$50\pm\$11.08

5 0
2 months ago
For what values of x does the binomial 2x−1 take on a positive value?
zzz [12365]

Part A

To identify the values of x that make 2x−1 positive

⇒ 2x - 1 > 0

⇒ 2x > 1

⇒ x > \frac{1}{2}

As a result, for any x greater than \frac{1}{2}, the expression 2x-1 is positive

Part B

To find values of y making 21−37 negative

⇒ 21-3y < 0

⇒ 21 < 3y

⇒ 7 < y

Thus, for all y values exceeding 7, the expression 21-3y is negative

Part C

To identify values of c that digit 5−3c greater than 80

⇒ 5-3c > 80

⇒ -3c > 75

⇒ -c > 25

⇒ c < -25

Therefore, for values of c less than -25, the expression 5-3c surpasses 80

7 0
2 months ago
Witch of the functions below could possibly have created this graph? A.f(x)-x^5+2x^4-3x B.f(x)=-1/3x^4+7x^2+15 C.f(x)=1.9x^8+15x
babunello [11817]
B. f(x)=-1/3x^4+7x^2+15. You can visualize the function using a graphing tool for better understanding.
3 0
2 months ago
Yao Xin puts 3/10 liters of potting soil in each pot for planting flowers. She has 17/3 liters of potting soil. How many pots ca
babunello [11817]

In this scenario, we'll define the following variables:

x: total volume of potting soil in liters.

y: quantity of potting soil allocated to each pot in liters.

To determine the number of pots, we can use the expression:

N = \frac{x}{y}

Substituting in the respective values yields:

N = \frac{\frac{17}{3}}{\frac{3}{10}}

Reformatting gives us:

N = \frac{170}{9}

N = 18.8

When rounding down to the nearest whole number, we find:

N = 18

The conclusion is:

Yao Xin is capable of filling 18 pots.

4 0
2 months ago
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