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3 years ago

Math. Please help. ASAP

Mathematics

1 answer:

S_A_V [24]3 years ago

6 0

Answer:

Step-by-step explanation:

ABC and DEF are congruent

ABC and JKL are not congruent

ABC and QRS are congruent

JKL and DEF are not congruent

JKL and QRS are not congruent

QRS and DEF are congruent

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the width of a laptop is 11.25 inches. the width is 0.75 times the length. what is the length of the laptop

Snezhnost [94]

$\bf \stackrel{width}{11.25}=0.75\stackrel{length}{L}\implies \cfrac{11.25}{0.75}=L\implies 15=L$

8 0

2 years ago

Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. If 100 people are randomly sel

laiz [17]

Answer:

0.03 is the probability that for the sample mean IQ score is greater than 103.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 16

Sample size, n = 100

We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{16}{\sqrt{100}} = 1.6$

P( mean IQ score is greater than 103)

P(x > 103)

$P( x > 103) = P( z > \displaystyle\frac{103 - 100}{1.6}) = P(z > 1.875)$

$= 1 - P(z \leq 1.875)$

Calculation the value from standard normal z table, we have,

$P(x > 103) = 1 - 0.970 =0.03= 3\%$

0.03 is the probability that for the sample mean IQ score is greater than 103.

7 0

2 years ago

Is a tangent toX, and X is the center of the circle. What is the length of the radius of the circle?

fenix001 [56]

12.8 is the answer to this problem

3 0

3 years ago

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Maru [420]

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

$a_n=a_1+(n-1)d$

For the 15th, term it will be

$a_{15}=-3+(15-1)d\\53=-3+14d$

Adding 3 on both sides

$53+3 = -3+3 + 14d\\56 = 14d$

Dividing both sides by 14

$\frac{56}{14}=\frac{14d}{14}\\d=4$

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

2 years ago

An alrcraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

rewona [7]

C(x) should be ;

C(x)=0.9x² - 306x +36,001

Answer:

$9991

Step-by-step explanation:

Given :

C(x)=0.9x^2 - 306x +36,001

To obtain minimum cost :

Cost is minimum when, C'(x) = 0

C'(x) = 2(0.9x) - 306 = 0

C'(x) = 1.8x - 306 = 0

1.8x - 306 = 0

1.8x = 306

x = 306 / 1.8

x = 170

Hence, put x = 170 in C(x)=0.9x²- 306x +36,001 to obtain the

C(170) = 0.9(170^2) - 306(170) + 36001

C(170) = 26010 - 52020 + 36001

= 9991

Minimum unit cost = 9991

5 0

2 years ago