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2 years ago

Which type of transformation creates an image not congruent to the original shape

Mathematics

1 answer:

Ksju [112]2 years ago

8 0

Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

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The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos

JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

Step(i):-

Given mean of the population = 500

Given standard deviation of the Population = 75

Let 'X' be the variable in normal distribution

$Z = \frac{x-mean}{S.D}$

Given X = $410

$Z = \frac{410-500}{75} = - 1.2$

Step(ii):-

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

= 0.5 - A( -1.2)

= 0.5 - A(1.2)

= 0.5 - 0.3849 ( ∵from normal table)

= 0.1151

Final answer:-

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0

2 years ago

What is 7.8×10^5 hours in days?

iragen [17]

Answer:

32500 Days

Step-by-step explanation:

$7.8$ × $10^{5}$ = $780000$

We know that there are 24 hours in a day.

⇒24 Hours = 1 Day

therefore $780000$ hours = $\frac{780000}{24} = 32500$ Days

7 0

2 years ago

In a random sample of 205 people, 149 said that they watched educational television. Find the 95% confidence interval of the tru

tensa zangetsu [6.8K]

Answer: Given a sample of 200, we are 90% confident that the true proportion of people who watched educational TV is between 72.1% and 81.9%.

Step-by-step explanation:

$\frac{154}{200} =0.77$

$1-0.77=0.23$

$\sqrt{\frac{(0.77)(0.23)}{200} }$ =0.049

0.77±0.049< 0.819, 0.721

6 0

3 years ago

Estimate the annual wages for a clerk who works 50 weeks a year and earns $15 and hour

Pachacha [2.7K]

Let us assume that a person works for 8 hours a day.

Let us assume that the person works for 5 days a week.

Wage earned per hour = $15

So, wage earned in 8 hours = 15*8 = $120

Now, wage earned in 1 day = 120

So, wage earned in 5 days = 120*5 =$600

As the person works for 5 days in 1 week

So, in 50 weeks, he will work = 50*5 = 250 days

So, total number of hours he must have worked = 250*8 =2000 hours

Now, per hour wage = $15

wage in 2000 hours = 15*2000 = $30000

Hence, the estimated wage a person earns in 50 weeks = $30000

7 0

3 years ago

A statue that is 80 m tall stands on a 625 m2 base. An artist creates a replica using a ratio of 1:15. What is the area of the r

Sholpan [36]

Answer: $2.78m^{2}$

Step-by-step explanation:

given data:

height of the statue = 80m.

base of the statue = $625m^{2}$ .

scale of the statue replica = 1:15.

solution:

$= 1:15^{2} \\\\\= 1:225\\\\$

$= \frac{625m^{2} }{225}$

= $2.78m^{2}$

the area of the replica is $2.78m^{2}$

4 0

2 years ago