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Olin [163]
3 years ago
9

Let g(x) = x2 + x. Find g(-10).

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

90

Step-by-step explanation:

g(-10) = (-10)²+(-10)

= 100-10 = 90

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What is the area of this figure?
Whitepunk [10]

The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²

<h3>What is the Area of the Composite Figure?</h3>

Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw

Given the following:

  • s = 3 ft
  • b = 11 ft
  • h = 3 ft
  • l = 11 ft
  • w = 3 ft

Area of the composite figure = (3²) + 1/2(11)(3) + (11)(3)

Area of the composite figure = 58.5 ft²

Learn more about the area of a composite figure on:

brainly.com/question/8408690

3 0
2 years ago
A manufacturer claims that fewer than 6% of its fax machines are defective. to test this claim, he selects a random sample of 97
AfilCa [17]

Let P be the population proportion, p be the sample proportion, n be the sample size.

A manufacturer claims that fewer than 6% of its fax machines are defective. It means P=0.06

Sample size n=97 and sample proportion p=0.05

The hypothesis to be tested is

H0: P ≥ 0.06 V/s Ha: P < 0.06

Here the hypothesis for testing population proportion we use z test statistics. Z test statistics is give by

Z = \frac{p -p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}

Where p =sample proportion = 0.05

p0 = hypothesized proportion value =0.06

Using given values into test statistics we get

Z = \frac{0.05 -0.06}{\sqrt{0.06(1-0.06)/97}}

Z = -0.41

The p-value for left tailed alternative hypothesis is given by

P-value = P(z < z cal)

where zcal = Z test statistics value

Here zcal = -0.41

P-value = P(Z < -0.41)

Using z score table to find probability below z=-0.41

P-value = 0.3409

P-value for testing the given claim is 0.3409

3 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
SSSSS [86.1K]

Answer:

2\sqrt{5}

Step-by-step explanation:

this is a 30-60-90 Δ and the ratio of the sides are 1 : \sqrt{3} : 2

1 / 2 = \sqrt{5} / x

cross-multiply: x = 2\sqrt{5}

3 0
3 years ago
The breadth of a rectangular garden is 2/3 of its legth. If its perimeter is 40cm, find its dimensions.
Arisa [49]

Answer:

12; 8

Step-by-step explanation:

length-x

breadth-2/3x

2(x+2/3 x)=40

2×5/3x=40

10/3x=40

x=40÷10/3

x=40×3/10

x=12 (cm) length

2/3×12=8 (cm) breadth

6 0
3 years ago
Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4
9966 [12]

Answer:

x=5/3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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