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BaLLatris [955]

4 years ago

9

Triangle UVW is a dilation of Trangle RST by scale factor of 1 which of the following proportions verifies that Triangle RST And

Triangle UVW are similar?

1 answer:

adelina 88 [10]4 years ago

5 0

Answer:

That would be Option A.

Step-by-step explanation:

When triangles are similar CORRESPONDING sides are in the same proportion.

Its RS / UV = RT / UW

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The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, $X =$ "Comprehensive strength of concrete". We have information that $X$ is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, $X \sim N(2500, 2500)$ .

We want to know the probability of the mean of X or $\bar{X}$ that falls in the interval $[2499;2510]$ . From inference theory we know that :

$\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)$

Now we can find the probability as follows:

$P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )$

Where $Z \sim N(0,1)$ , then:

$P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798$

8 0

4 years ago

Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.

lina2011 [118]

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 5, and a y intercept of (0,3)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept

Since we were given the slope and the y intercept, we can simply substitute these values into the formula to find the equation.

Starting with the slope:

Substitute 5 as m into the equation

y=5x+b

Now for the y intercept:
As stated before, b is the value of y at the y intercept; in this case, b is equal to 3

Substitute 3 as b into the equation.

y=5x+3

Hope this helps!

See more on this topic here: brainly.com/question/22607472

8 0

3 years ago

I need some help. Can someone assist me with this?

Y_Kistochka [10]

Answer:

x = 12

WN = 28

Step-by-step explanation:

SO = WN and SO = 2WI

3x - 8 = 2(x + 2)

3x - 8 = 2x + 4

3x - 2x = 4 + 8

x = 12 now replace x with 12 in the first equation given

3x - 8 = 3×12 - 8

36 - 8 = 28

8 0

3 years ago

A car travels 264 mi on 12 gal of gas. Find the unit

Naya [18.7K]

Answer:

33 miles

Step-by-step explanation:

Given:

A car travels 264 miles on 12 gallon of gas.

We need to find the unit rate in miles per gallon.

Now we write the given rate as a fraction.

$\frac{264\ miles}{12\ gallons}$

Divide the numerator and denominator by the denominator

$\frac{264\ miles / 8}{12\ gallons / 8}$

$\frac{33\ miles}{1\ gallon}$

Therefore, the unit rate is 33 miles per gallon.

6 0

4 years ago

Can u help plz because i dont get it!!!!

Stels [109]

So the price is C
and 20 cakes is T

So 1 cake times 20=20 cakes
so 20C=T

5 0

3 years ago