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3 years ago

Help on Number 8? I know Y=5 and the slope is undefined and x=2 but I don’t know what to do now.

Mathematics

1 answer:

Stels [109]3 years ago

3 0

To find the slope, use the equation of a line: $y = mx + b$

Plug in the values for x and y:

$5 = 2x + b$

We know that 2 can fit into 5 twice, which means 2*2 is 4.

We now have $5 = 4 + b$ .

If 5 is b more than 4, then this means that 4 is b less than 5. Subtract 4 from both sides, and you will have b = 1.

This means your equation is y = 2x + 1.

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-8(2b-7)-9(b-5)<br>simplify

GenaCL600 [577]

Answer:

Step-by-step explanation:

$-8(2b-7)-9(b-5)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(-8)(2b)+(-8)(-7)+(-9)(b)+(-9)(-5)\\\\=-16b+56-9b+45\qquad\text{combine like terms}\\\\=(-16b-9b)+(56+45)\\\\=-25b+101$

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3 years ago

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Twice a number decreased by 22 is 48. What is the number?

klemol [59]

Answer:

Given - Twice a no. decrease by 22 is 48

To find - The no.

Solution -

Let the no. be X

According to the question, equation made is -

2x - 22 = 48

2x = 48 + 22

2x = 70

x = 70/2

X= 35

Verification -

35 ×2 - 22 = 48

70 - 22 = 48

48= 48

LHS = RHS

hence proved

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2 years ago

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Answer:

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3 years ago

Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actu

nikitadnepr [17]

Answer:

a. $f(x)= 1.25\ \ \ \ , \ for \ 31.8\leq x\leq 32.6$

$b. \ P(X=32)=0\\P(X>32.3)=0.375\\P(X$

c. No. Delicious Candy isn't violating any government regulations

Step-by-step explanation:

-A uniform distribution is given by the formula:

$f(x)=\frac{1}{b-a} \ \ \ for \ \ \ a\leq x\leq b$

#we substitute our values in the formula above to determine the distribution:

$f(x)=\frac{1}{b-a}\\\\=\frac{1}{32.6-31.8}\\\\=1.25\\\\\therefore f(x)=1.25, \ \ \ 31.8\leq x\leq 32.6$

Hence, the probability density function for the box's weight is given as: $f(x)=1.25, \ \ \ 31.8\leq x\leq 32.6$

b. The probability of the box's weight being exactly 32 ounces is obtained by integrating f(x) over a=b=32:

$f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32}_{32} {1.25} \, dx \\\\\\=[1.25x]\limits^{32}_{32}\\\\\\=1.25[32.0-32.0]\\\\\\=0$

Hence, the probability that a box weighs exactly 32 ounces is 0.000

ii.The probability that a box weighs more than 32.3 is obtained by integrating f(x) over the limits 32.3 to 32.6 :

$f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32.6}_{32.3} {1.25} \, dx \\\\\\=[1.25x]\limits^{32.6}_{32.3}\\\\\\=1.25[32.6-32.3]\\\\\\=0.375$

Hence, the probability that a box weighs more than 32.3 ounces is 0.3750

iii. The probability that a box weighs less than 31.8 is 0.000 since the weight limits are $31.8\leq x\leq 32.6$ .

-Any value above or below these limits have a probability of 0.000

c. Let 32 ounces be the government's stated weight.

$1.25(32.6-32)=0.75\\\\0.75>0.60$

Hence, Delicious Candy isn't violating any government's regulations.

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3 years ago