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3 years ago

I need help on this, please explain

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

Answer:

The answer would be A

Step-by-step explanation:

When you draw TV with V being the midpoint of SU, you would have two triangles that are congruent on all three sides (SSS). See picture. Hope this helped :)

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F(x) = x2. What is g(x)?

ludmilkaskok [199]

Answer:

g(x)=3x(superscript)2

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2 years ago

Read 2 more answers

Inequalities Which is the graph of the system x + 3y > -3 and y < 1/2x +1?

OLga [1]

Answer:

the 4th graph.

Step-by-step explanation:

by solving for Y in the first equation, we get the y-intercept of -1 and the second equation has a y-intercept of 1. 4th graph is the only graph with those 2 intercepts

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1 year ago

Describe the relationship between the terms in each arithmetic sequence. Then

shtirl [24]

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

$0,9,18,27$

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

$d = T_n - T_{n-1}$

Take n as 2

$d = T_2 - T_{2-1}$

$d = T_2 - T_{1}$

Where

$T_2 = 9\ and\ T_1 = 0$

$d =9-0$

$d =9$

The relationship is: The sum of the previous term and 9

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

$Next\ Term = 27 + 9 = 36$

$Next = 36 + 9 = 45$

$Next = 45 + 9 = 54$

Hence, the next three terms are: 36, 45 and 54

4 0

2 years ago

Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the

HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

4 0

2 years ago

The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of

pishuonlain [190]

Answer:

Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

Let p = proportion of women in similar sales positions across the country in 2004

So, Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Here, null hypothesis states that the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, alternate hypothesis states that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }$ ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

4 0

2 years ago