All categories

3 years ago

Figure A is a scale image of Figure B, as shown.

Mathematics

1 answer:

Inessa [10]3 years ago

5 0

9514 1404 393

Answer:

x = 2

Step-by-step explanation:

Using the scale factor, we have ...

x/8 = 0.25/1

x = 8(0.25) . . . . multiply by 8

x = 2

_____

Additional comment

I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...

B/A = smaller part / larger part = x/8 = 0.25/1

You might be interested in

true or false To maintain your body temperature, your body converts chemical potential energy into thermal energy.

klio [65]

The correct answer is true. To maintain your body temperature, your body converts chemical potential energy into thermal energy. The human body converts the energy stored in the food into some other energy specifically thermal energy.

4 0

3 years ago

Read 2 more answers

How many degrees does a minute hand of a clock turn through from 6:20 am to8:00 am on the same day ? A. 680 degrees B. 600 degre

Phoenix [80]

Answer:

B 600

Step-by-step explanation:

A clock is a circle with 12 equal sectors. A circle has 360 degrees so every time a minute hand number goes to another number it changes 30 degrees. After a full hour the time is 7 20 and it changes 360 degrees since the minute hand change over time was 12. 30x12=360.

Then it from 7 :20 and 8 00 the change 8 so is 30×8=240

360+240=600

3 0

3 years ago

While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = population proportion.

So, Null Hypothesis, $H_0$ : p = 0.013 {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, $H_A$ : p > 0.013 {means that this is an unusually high number of faulty modems}

The test statistics that would be used here One-sample z-test for proportions;

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

where, $\hat p$ = sample proportion faulty modems= $\frac{10}{367}$ = 0.027

n = sample of modems = 367

So, the test statistics = $\frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }$

= 2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0

3 years ago

PLEAS EHEKP ILL GIVE BRAINLIEST SHOW WORK SO I CAN UNDERSTAND PLEASE

Mandarinka [93]

Answer:

$49.72

Step-by-step explanation:

The tip is 11% of the price of the pizza.

The price of the pizza is $452.

The tip is 11% of $452.

To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.

11% of $452 =

= 0.11 * $452

= $49.72

Answer: $49.72

8 0

3 years ago

Haylee can run 16 laps in 8 minutes. If she continues at this rate, how many minutes will it take her to run 30 laps?

KonstantinChe [14]

Step-by-step explanation:

1minute=2lap

30lap=30/2

=15minutes

4 0

3 years ago