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den301095 [7]
3 years ago
5

What is the area of a triangle with a base of 6mm and a height of 9mm

Mathematics
1 answer:
baherus [9]3 years ago
8 0
Areaa= 0.5 b h
= 0.5 x 9 x 6 = 27 mm
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Describe the graph of the function y= square root of x-7+3
TiliK225 [7]

Answer:

Step-by-step explanation:

y=sqrt(x-7)+3 is a transformed from the parent function y=sqrt(x) by the following:

right 7 units

up 3 units

5 0
3 years ago
In a survey, 11 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped
pickupchik [31]

Answer:

The population standard deviation is not known.

90% Confidence interval by T₁₀-distribution: (38.3, 53.7).

Step-by-step explanation:

The "standard deviation" of $14 comes from a survey. In other words, the true population standard deviation is not known, and the $14 here is an estimate. Thus, find the confidence interval with the Student t-distribution. The sample size is 11. The degree of freedom is thus 11 - 1 = 10.

Start by finding 1/2 the width of this confidence interval. The confidence level of this interval is 90%. In other words, the area under the bell curve within this interval is 0.90. However, this curve is symmetric. As a result,

  • The area to the left of the lower end of the interval shall be 1/2 \cdot (1 - 0.90)= 0.05.
  • The area to the left of the upper end of the interval shall be 0.05 + 0.90 = 0.95.

Look up the t-score of the upper end on an inverse t-table. Focus on the entry with

  • a degree of freedom of 10, and
  • a cumulative probability of 0.95.

t \approx 1.812.

This value can also be found with technology.

The formula for 1/2 the width of a confidence interval where standard deviation is unknown (only an estimate) is:

\displaystyle t \cdot \frac{s_{n-1}}{\sqrt{n}},

where

  • t is the t-score at the upper end of the interval,
  • s_{n-1} is the unbiased estimate for the standard deviation, and
  • n is the sample size.

For this confidence interval:

  • t \approx 1.812,
  • s_{n-1} = 14, and
  • n = 11.

Hence the width of the 90% confidence interval is

\displaystyle 1.812 \times \frac{14}{\sqrt{10}} \approx 7.65.

The confidence interval is centered at the unbiased estimate of the population mean. The 90% confidence interval will be approximately:

(38.3, 53.7).

5 0
3 years ago
What is y when x is equal to 10 in 10x+y=19
Maurinko [17]
<span>10x+y=19

when x = 10:

substitute with x=10 into the equation given:

10(10) + y = 19

or:

100 + y = 19

bring 100 to the other side to be -100

y = 19 - 100

y = -81


That's it
</span>
4 0
3 years ago
The inverse of G(X) is a function.<br> A. True<br> B. False
Maru [420]

Answer:

true its just a filp with the y and x and resolved

Step-by-step explanation:

5 0
3 years ago
Simplify |x-120|, if x &lt; -120
Charra [1.4K]

Answer:

-x+120

Step-by-step explanation:

|x-120|=-(x-120)=-x+120,if x-120<0

or x<120

-120<120

5 0
3 years ago
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