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2 years ago

Which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)

1 answer:

3 0

$\text{Use the distributive property:}\\\\a(b+c)=ab+ac$

$2(x+5)+3(x^2-5x+13)=(2)(x)+(2)(5)+(3)(x^2)-(3)(5x)+(3)(13)\\\\=2x+10+3x^2-15x+39=3x^2-13x+49$

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Use the model to solve for x. A) x = 1 B) x = 3 C) x = 5 D) x =

Novay_Z [31]

Answer:

Step-by-step explanation:

x + 3•(+1) = 2•x + 4•(-1)

x + 3 = 2x - 4

-3 -3

x = 2x - 7

-2x -2x

- x = -7

÷(-1) ÷(-1)

x = 7

7 0

3 years ago

Mrs. Nicholas baked two batches of cookies. The first batch consisted of 120 gingerbread cookies and the second batch consisted

shusha [124]

Answer:

i think 2/15 of the cookies

Step-by-step explanation:

hope this helps

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1 year ago

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

3 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. (2

Stells [14]

Answer: C is the answer

5 0

3 years ago

M∠ABC=95° <br> Find m∠ABD and m∠DBC.<br><br> Please explain how to do this

ch4aika [34]

(2x+23)+(9x-5)=95

11x+18=95

x= 95-18/11

x=7

therefore substituting value of x in the given equations of angles:

angle ABD = 2(7)+23=37°
angle DBC = 9(7)-5= 58° Answer

to verify = 37°+58°= 95° ( which was given)

7 0

3 years ago

Read 3 more answers