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3 years ago

Will mark brainliest please help me asap on this word problem! explain.

Mathematics

1 answer:

Setler79 [48]3 years ago

3 0

Answer:

The second one for both a and b.

Step-by-step explanation:

The first cereal box is:

8•3•11=264 inches cubed

the second cereal box is:

10•10•3=300 inches cubed

a. The box that holds more cereal would be the second one, since it has more volume.

b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.

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Assume that different groups of couples use the XSORT method of gender selection and each couple gives birth to one baby. The XS

olganol [36]

Answer:

Mean and Standard deviation for the numbers of girls in groups of 36 births are 18 and 3 respectively.

Step-by-step explanation:

We are given that he X SORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.

Now consider a group consisting of 36 couples.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 36 couples

r = number of success

p = probability of success which in our question is probability

of a girl, i.e.; p = 0.5

Let X = Numbers of girls in groups of 36 births

So, X ~ Binom(n = 36, p = 0.5)

Now, mean for the numbers of girls in groups of 36 births is given by;

Mean, E(X) = $n \times p$ = $36 \times 0.5$ = 18

Also, standard deviation for the numbers of girls in groups of 36 births is given by;

Standard deviation, S.D.(X) = $\sqrt{n\times p\times (1-p)}$

= $\sqrt{36\times 0.5\times (1-0.5)}$

= 3

3 0

3 years ago

Can someone please help me find the measure of the exterior angle.

dimulka [17.4K]

Answer:

k = 140°

Step-by-step explanation:

The sum of the interior angles of any triangle = 180°.

64° + 76° + x = 180°

x = 40°

40° + k = 180° because they are supplementary angles

k = 140°

8 0

3 years ago

Read 2 more answers

In triangle , side and the perpendicular bisector of meet in point , and bisects . If and , what is the area of triangle

stich3 [128]

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects ∠ABC。 If AD = 9 and DC = 7, 145–√5 is the area of a triangle.

I supposed here that [ABD] is the perimeter of ▲ ABD.

As BD is a bisector of ∠ABC ,

ABBC=ADDC=97

Let ∠B=2α

Then in isosceles △DBC

∠C=α

BC=2∗DC∗cosα=14cosα

Thus AB=18cosα

The Sum of angles in △ABC is π so

∠A=π−3α

Let's look at AC=AD+DC=16 :

AC=BCcosC+ABcosA

16=14cos2α+18cosαcos(π−3α)

[1]8=7cos2α−9cosαcos(3α)

cos(3α)=cos(α+2α)=cosαcos(2α)−sinαsin(2α)=cosα(2cos2α−1)−2cosαsin2α=cosα(4cos2α−3)

With [1]

8=cos2α(7−9(4cos2α−3))

18cos4−17cos2α+4=0

cos2α={12,49}

First root lead to α=π4 and ∠BDC=π−∠DBC−∠C=π−2α=π2 . In such case ∠A=π−∠ABD−∠ADB=π4, and △ABD is isosceles with AD=BD. As △DBC is also isosceles with BD=DC=7, AD=7≠9.

Thus first root cos2α=12 cannot be chosen and we have to stick with the second root cos2α=49. This gives cosα=23 and sinα=5√3.

The area of a triangle ABD=12h∗AD where h is the distance from B to AC.

h=BCsinC=14cosαsinα

Area of triangle ABD=145–√5

= 145–√5.

Incomplete question please read below for the proper question.

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects ∠ABC。 If AD = 9 and DC = 7, what is the area of triangle ABD?

Learn more about the Area of the triangle at

brainly.com/question/23945265

#SPJ4

6 0

2 years ago

8. Part A: Find the value of x.

DiKsa [7]

Answer:

B.x=3

Part B. 15 units

3 0

3 years ago