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artcher [175]
3 years ago
10

Expand and combine like terms. (x+3)(x+4)

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

x^2  +7x+12

Step-by-step explanation:

(x+3)(x+4)

FOIL

first x*x= x^2

outer: 4x

inner:3x

Last 3*4=12

Add together

x^2+3x+4x+12

Combine like terms

x^2  +7x+12

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mote1985 [20]
The lower quartile is 21 because when you make it in order and find the median you seperate it then when you get the lower median it is 21

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8 0
4 years ago
In a study of the accuracy of fast food​ drive-through orders, one restaurant had 36 orders that were not accurate among 324 ord
tia_tia [17]

Answer:

We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to​ 10%.

Step-by-step explanation:

We want to use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to​ 10%.

We set up our hypothesis to get:

H_0:p=0.10------->null hypothesis

H_1:p\ne0.10------>alternate hypothesis

This means that: p_0=0.10

Also, we have that, one restaurant had 36 orders that were not accurate among 324 orders observed.

This implies that: \hat p=\frac{36}{324}=0.11

The test statistics is given by:

z=\frac{\hat p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }

We substitute to obtain:

z=\frac{0.11-0.1}{\sqrt{\frac{0.1(1-0.1)}{324} } }

This simplifies to:

z=0.6

We need to calculate our p-value.

P(z>0.6)=0.2743

Since this is a two tailed test, we multiply the probability by:

The p-value is 2(0.2723)=0.5486

Since the significance level is less than the p-value, we fail to reject the null hypothesis.

We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to​ 10%.

3 0
4 years ago
Colin invests £980 into his bank account. He receives 2.1% per year simple interest. How much will Colin have after 4 years? Giv
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1062.32. that's how much he will have after 4 years

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3 years ago
If one leg of a 45-45-90 right triangle measures 5 cm, what is the exact length of the hypotenuse
VMariaS [17]
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6 0
3 years ago
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Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation.
Firdavs [7]

Answer:

six units down

Step-by-step explanation:

The points keep their distance from each other but the coordinates change

7 0
3 years ago
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