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Kisachek [45]
2 years ago
15

The length of a rectangular frame is 8 cm more than the width. The area inside the frame is 65 square cm. Find the width of the

frame.
Mathematics
1 answer:
fgiga [73]2 years ago
8 0
L+8=W
L*W=65
sub W from the first equation to second one
L*(L+8)= 65
L^2+8L =65   L^2+8L -65 =0  L=-13 and L=5, length cannot be negative so L=5 is the answer
sub this value in the first equation W=13
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A random sample of 146 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac
Tju [1.3M]

Answer:

We reject H₀  the actual percentage of type A donations differs from 40%

Step-by-step explanation:

Sample information:

sample size   n = 146

Type A   x₁  =  81   and   p₁  = 81 / 146     p₁  =  0,5547

then  q₁   =  1 - p₁    q₁  =  1  -  0,5547    q₁  =  0,4453

We choose as significance level  α  = 5%  α = 0,05   α /2  = 0,025

from z-table we find   z (c) = 1,96

National % of the population  ( μ  = 40 %  μ = 0,4 )

Test hypothesis

Null hypothesis                           H₀           p₁  =  μ

Alternative Hypothesis              Hₐ           p₁   ≠ μ

The Alternative hypothesis indicates that the test is a two-tail test

z(s) =  ( p₁  -   μ )/ √ p₁*q₁ / n

z(s) =  ( 0,5547  -  0,40 )/ √ 0,5547*0,4453 / 146

z(s) =  0,1547 / 0,041

z(s) = 3,77

Comparing  z(s)  and z(c)

z(s) > z(c)  

z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population

6 0
2 years ago
Anyone knows how to solve -6(-5x-3)-5x+17?
Rzqust [24]
Combine like terms first (so like the ones that have x with x and someone please help them bc I explained it bad
8 0
3 years ago
Maggie's brother is 3 years younger than twice her age the sum of their ages is 24. how old is Maggie?
Likurg_2 [28]

For this case, the first thing we must do is define variables.

We have then:

x: Maggie's age

y: Age of Maggie's brother

We write the system of equations that models the problem.

We have then:

y = 2x-3\\x + y = 24

We solve the system of equations.

For this, we use substitution:

x + (2x-3) = 24

From here, we clear the value of x:

3x - 3 = 24\\3x = 24 + 3\\3x = 27

x = \frac{27}{3}\\x = 9

Answer:

Maggie is 9 years old

4 0
3 years ago
Read 2 more answers
noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How man
yKpoI14uk [10]

Answer:

112

Step-by-step explanation:

3 0
2 years ago
Factorise <br> a) 4p²-81<br> b) x²-13x+36
taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0
3 years ago
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