1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tpy6a [65]
3 years ago
11

Find the scale factor

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

To get the scale factor , we have to divide the lengths of the similar sides on both shapes

What we have to do here is to divide the left length of each

we have this as 6/18 since they both represent the length

we have this as 1/3

You might be interested in
A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05
grigory [225]
The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is p=0.25.

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or p>0.25.

The test statistic in this case will be

Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}

where p_0 is the proportion assumed under the null hypothesis, \hat p is the measured proportion, and n is the sample size. You have p_0=0.25, \hat p=\dfrac{171}{171+409}\approx0.29, and n=409+171=580, so the test statistic is

Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247

Because you're testing p>p_0, this is a right-tailed test, so the P-value is

\mathbb P(Z>2.2247)\approx0.0131

The critical value for a right-tail test at a 0.05 significance level is Z_\alpha\approx1.6449, which means the rejection region is any test statistic that is larger than this critical value. Since Z>Z_\alpha in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.
8 0
3 years ago
Read 2 more answers
Calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2​
Paladinen [302]

Answer:

76

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

= 400 - 324

then subtract: (PEMDAS)

=76

3 0
3 years ago
Read 2 more answers
Which rational exponent represents a square root?<br> A. 1 / 2<br> B. 3/2<br> C. 1/3<br> D. 1/4
Fofino [41]

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. \frac{1}{2} is the same

as taking the square root.

  • so x^{\frac{1}{2}} is the same as the square root of x.

For example, taking the square root of 4 will determine:

4^{\frac{1}{2}}

\mathrm{Factor\:the\:number:\:}\:4=2^2

4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}

\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0

\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}

so the expression becomes

4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}

    =2^1

    =2         ∵ \mathrm{Apply\:exponent\:rule}:\quad \:a^1=a

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

5 0
2 years ago
Read 2 more answers
The ratio of the length of an airplane wing to its width is 9 to 1. If the length of a wing is 34.7 meters, how wide must it be?
KIM [24]
The answer is  3.85555556 because the ratio is 9:1 the length 34.7  so that means the length will be 9 times the width so you divide.

6 0
3 years ago
PLS HELP ME SLOPE INTERCEPT FORMMM<br> through: (1, -1), parallel to y=5/3x
Rzqust [24]

Step-by-step explanation:

the slope = 5/3

through (1, -1)

the equation :

y -(-1) = 5/3 (x -1)

y+1 = 5/3 x -5/3

y = 5/3 x -5/3 -1

y = 5/3 x - 8/3 or y = 5/3 x - 2⅔

3 0
3 years ago
Other questions:
  • Find two positive numbers that differ by three and have a product of 14
    8·1 answer
  • The graph g(x) is the graph of f(x) translated (5,2,3) units (down,up,left,right) , and g(x) =(f(x-3),f(x)-5,f(x)+3,f(x-2),f(x)+
    13·1 answer
  • Find the equation of the line that passes through the pair of points. (-5,3) (-5,0)
    7·1 answer
  • Use the graph to make a table and write an equation <br>​<br>pls pls answer
    6·1 answer
  • Find the derivative of f(x)= e^(4x) + e^-(4x)
    11·2 answers
  • Answer the triangle
    11·2 answers
  • 12 m<br> 9 m<br> 8 m<br> I am looking for what shape it is
    11·1 answer
  • A ____ is the total number of possible equal parts in a fraction
    9·2 answers
  • Ethanchen2726<br> can you pls anwer this or anyone for a brainliest?
    11·2 answers
  • 12) Kelly bent a piece of wire to form the shape below. Determine the length of wire she used to create the shape (FORMULA = 2 x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!