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patriot [66]
3 years ago
9

PLEASE ANSWER + BRAINLIEST !! (show work)

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0
The missing value could be 16 or 19; if it is 16, the binomials would be
4(x+3)(x+1).  If it is 19, the binomials would be (x+4)(4x+3).

To factor these, we want factors of a*c that sum to b; in this trinomial, a*c is 4(12)=48.  If we use 12 and 4 to make 48, this would give a b value of 16:
4x²+16x+12

These two factors will be how we "split up" bx:
4x²+12x+4x+12

Now we group together the first two and last two:
(4x²+12x)+(4x+12)

Factor out the GCF of each group:
4x(x+3)+4(x+3)

Factor out the GCF of this new expression:
(x+3)(4x+4)

In the last binomial, they are both divisible by 4, so factor this out:
4(x+1)(x+3)

If we use 16*3 to make 48, this would give us a b value of 19; we would "split up" bx as follows:
4x²+16x+3x+12

Group:
(4x²+16x)+(3x+12)

Factor out the GCF:
4x(x+4)+3(x+4)

Factor out the GCF again:
(x+4)(4x+3)
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The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radiu
PtichkaEL [24]

Answer:

1.2 cm

Step-by-step explanation:

The area of sircumscribed quadrilateral over a circle is equal to

A=s\cdot r,

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.

Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.  

So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

s=\dfrac{20}{2}=10\ cm

Now,

A=s\cdot r\\ \\12=10r\\ \\r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
A triangle has an area of 15. One of its sides has length 10. What is the length of the altitude to that side?
UNO [17]

Answer:

Im to lazy to calculate the entire answer but its basically the formula is a*b/2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A sample survey interviews SRSs of 500 female college students and 550 male college students. Researchers want to determine whet
stira [4]

Answer:

Option (d) and (e)

Step-by-step explanation:

We are given that a sample survey interviews SRS of 500 female college students and 550 male college students. And Researchers want to determine whether there is a difference in the proportion of male and female college students who worked for pay last summer.

In all, 410 of the females and 484 of the males say they worked for pay last summer.

From this, Null Hypothesis, H_0 : p_1 = p_2 {means proportion of male and female college students who worked for pay last summer are same}

Alternate Hypothesis, H_1 : p_1\neq p_2 {means there is a difference in the proportion of male and female college students who worked for pay last summer}

Now, since we know that results were statistically significant at the 1% level.

So, if p-value is less than the significance level ⇒ we will reject H_0

     if p-value is more than the significance level ⇒ we will not reject H_0

From the options given it is sure that P-value is less than 1%,i.e.;

<em>P-value is less than the significance level, so we will reject null hypothesis and conclude that there is convincing evidence that the proportion of all male college students in the study who worked for pay last summer is different from the proportion of all female college students in the study who worked for pay last summer. </em>

Also, option (d) and (e) are same in my opinion.

4 0
3 years ago
Reyesburg Corporation is contemplating using a new, more expensive glue in the construction of its laminated veneer lumber. Of i
Leokris [45]

Answer:

The mean carrying load of the beams tested is 908.7 pounds per square foot

Step-by-step explanation:

1. Data class 1: 860-879

Midpoint 1: M1=(860+879)/2=1,739/2→M1=869.5

Number of values in data class 1: n1=2

2. Data class 2: 880-899

Midpoint 2: M2=(880+899)/2=1,779/2→M2=889.5

Number of values in data class 2: n2=5

3. Data class 3: 900-919

Midpoint 3: M3=(900+919)/2=1,819/2→M3=909.5

Number of values in data class 3: n3=10

4. Data class 4: 920-939

Midpoint 4: M4=(920+939)/2=1,859/2→M4=929.5

Number of values in data class 4: n4=6

5. Data class 5: 940-959

Midpoint 5: M5=(940+959)/2=1,899/2→M5=949.5

Number of values in data class 5: n5=1


Mean=Sum(Mi*ni)/Sum(ni)

Mean=(M1*n1+M2*n2+M3*n3+M4*n4+M5*n5)/(n1+n2+n3+n4+n5)

Mean=(869.5*2+889.5*5+909.5*10+929.5*6+949.5*1)/(2+5+10+6+1)

Mean=(1,739+4,447.5+9,095+5,577+949.5)/(24)

Mean=(21,808)/(24)

Mean=908.6666666

Rounding to one decimal place:

Mean=908.7

3 0
4 years ago
Suppose P(E) = 0.3. Find P(not E). Suppose P(not E) = 65%. Find P(E).
larisa [96]
Try this option:
1. rule: P(E)+P(not E)=1.
2. according to the rule above
P(not E)=1-P(E)=1-0.3=0.7;
P(E)=1-P(not E)=(100-65)%=35%.
6 0
3 years ago
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