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mixas84 [53]
3 years ago
6

Tamir wants to build a square wooden stage. His original pin for a stage x

Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

b .  

Area=(x-5) (x-3)

Area =  x^2 -8x+15

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Area of a rectangle = width x length

The original length and width was x, so if the stage needs to be 5 feet narrower and 3 feet shorter.

x-5

x-5

The formula is:

A=(x-5) (x-3)

Solving:

A = (x.x) + (x.-3) + (-5.x)+ (-5.-3)

A = x^2 -3x -5x+15

A = x^2 -8x+15

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There is a photo. No explanation needed just answer thank you
Iteru [2.4K]
It’s 125 because 5 over 3 is 5 (3) times so 5x5x5= 125 hoped this helped.
3 0
3 years ago
A table is on sale for $289, which is 32% less than the regular price.
prohojiy [21]

Answer:

R = \$903.125

Step-by-step explanation:

Given

Selling\ Price = \$289

Rate = 32\%

Required

Determine the regular price (R)

From the question, we understand that:

R * 32\% = \$289

So, we have:

R * 0.32 = \$289

R = \frac{\$289}{0.32}

R = \$903.125

<em>Hence, the regular price is $903.125</em>

3 0
3 years ago
Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet. If a countertop in the kitchen is 2
aliina [53]

Answer:

11x 5 =55-22=33

Step by step explanation

i think it is useful nark me as branlist

8 0
3 years ago
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
RS is the perpendicular bisector of TU. Find x and y​
german

Answer:

x = 1

y = 30°

Step-by-step explanation:

is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':

20x-3 = 5x+12

15x = 15

x = 1

we also know that RS intersecting with TU creates a 90° angle

if 3y = 90 then y = 30

8 0
3 years ago
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