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Answer:

Step-by-step explanation:

65

Answer:

x = 25°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

The given triangle is a right triangle which means one of its angle has a measure of 90°

since thd other angle is given as 65 to calculate x we just add the given measures and subtract it from 180

90° + 65 + x = 180

155 + x = 180 subtract 155 from both sides

x = 25°

Answer:

1/5^3

Step-by-step explanation:

5 ^ -3 = 1 / 5^3 = 1 / 125

Answer:

0.2333 = 23.33% probability this student's score will be at least 2100.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, and conditional probability.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295.

This means that [tex]\mu = 1490, \sigma = 295[/tex]

In this question:

Event A: Student was recognized.

Event B: Student scored at least 2100.

Probability of a student being recognized:

Probability of scoring at least 1900, which is 1 subtracted by the pvalue of Z when X = 1900. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1900 - 1490}{295}[/tex]

[tex]Z = 1.39[/tex]

[tex]Z = 1.39[/tex] has a pvalue of 0.9177

1 - 0.9177 = 0.0823

This means that [tex]P(A) = 0.0823[/tex]

Probability of a student being recognized and scoring at least 2100:

Intersection between at least 1900 and at least 2100 is at least 2100, so this is 1 subtracted by the pvalue of Z when X = 2100.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2100 - 1490}{295}[/tex]

[tex]Z = 2.07[/tex]

[tex]Z = 2.07[/tex] has a pvalue of 0.9808

This means that [tex]P(A \cap B) = 1 - 0.9808 = 0.0192[/tex]

What is the probability this student's score will be at least 2100?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0192}{0.0823} = 0.2333[/tex]

0.2333 = 23.33% probability this student's score will be at least 2100.

Answer:

The correct answer is 10 pounds of chicken

Step-by-step explanation:

First you do 8 divided by 4 to equal the unit price of 1 pound of chicken for 2 dollars then you do 20 divided by 2 to equal 10 pounds of chicken for 20 dollars

HAVE A GOOD DAY!

Answer:

x^(4/21)

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.68hr(28.9mi/hr)=19.652mi

Answer:

D) 5

Step-by-step explanation:

-12 + 8 + 9 = 5

Answer:

11 quarters- 2.75

22 nickels- 1.10

Answer:

a67y.....................

Answer:

The answer to this question is 4

Step-by-step explanation:

Answer:

The people who said Yes to having a pet in their home is greater

Step-by-step explanation:

We are asked to compare 18% and 14/25. Let's get them to their lowest common denominator:

18% = 18/100

14/25 * 4 = 56/100

18/100 is clearly much less than 56/100. If you don't want to write all this out, you can also eyeball that 14/25 is over half, whereas 18% is not close to half.

I hope this helps! Sorry if its doesn't though:( I hope you have a amazing day! And maybe you could mark this brainly?

Answer: 214

hope this helped.

The measure of the arc is 214 degrees

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The measure of the arc FE is 146 degrees.

Measure ED is 90 degrees.

To find the measure of the arc EDF we have to find the measure of DF.

146+90+x=360

236+x=360

Subtract 236 from both sides

x=360-236

x=124

Now let us find the arc measure EDF =Measure of ED + Measure of DF

=90+124

=214 degrees

Hence, the measure of the arc is 214 degrees

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Answer:

3.5 would be the answer

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Formula to use: V=[tex]\frac{1}{2}(b*a)*h\\[/tex]

b=base of triangle   a=altitude of triangle  h=height of prism

Doing [tex]\frac{1}{2}(b*a)[/tex] is essentially finding the area of the triangle and after multiplying by h will give you the volume of the triangular prism.

Solve: V = [tex]\frac{1}{2}(3*3)*7[/tex]  or option D

Ps. Altitude is perpendicular or 90 degrees to the side I used for the base, so it wouldn't be option C.

Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.

Step-by-step explanation:

Answer:

D) 0.848

Step-by-step explanation:

Marginal Relative Frequency is when you divide the square(s) by the very total, in this case: 231.

Dividing 196/231, you get 0.848484 repeating.

Hope it helps!!!

Answer:

286 cm

Step-by-step explanation:

Answer:

286 centimeters³

Step-by-step explanation:

identify variable:   L=11    W=2      H=13

use volume of a rectangular prism formula:   V=LWH

substitute variables into formula:         V=(11)(2)(3)

V=286 cm³

Answer:

The standard deviation of the comparison distribution is 0.5657.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

Standard deviation of the population is 8, sample of 200. So

[tex]s = \frac{8}{\sqrt{200}} = 0.5657[/tex]

The standard deviation of the comparison distribution is 0.5657.

Answer:

212.5

Step-by-step explanation:

a=b*h/2

b=25

h=17

25*17 =425

425/2=212.5

a=212.5

Answer:

The recommended number of flowers is 32

Step-by-step explanation:

Given

The attached graph

Required

The number of flowers when area = 15

First, calculate the slope (m)

Considering

[tex](x_1,y1) = (12,60)[/tex]

[tex](x_2,y_2) = (15,20)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20-16}{15-12}[/tex]

[tex]m = \frac{4}{3}[/tex]

Considering:

[tex](x_1,y_1) = (15,20)[/tex]

[tex](x_2,y_2) = (24,y)[/tex]

The slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{y - 20}{24 - 15}[/tex]

[tex]m = \frac{y - 20}{9}[/tex]

Recall that: [tex]m = \frac{4}{3}[/tex]

So:

[tex]\frac{4}{3} = \frac{y - 20}{9}[/tex]

Multiply through by 9

[tex]3*4 = y - 20[/tex]

[tex]y = 20 + 3 * 4[/tex]

[tex]y = 32[/tex]

Answer:

166.66 pounds

Step-by-step explanation:

160/0.96=166.66667

This is how I remember doing these questions

Answer: yeah sry i need point

Step-by-step explanation:

Answer:

read explanation

Step-by-step explanation:

this is a quadratic equation

first, move the 7x over to the other side so that we have 0 on one side

x^2+7x+12=0

now, we can factor

turn 7x into 3x and 4x, so x^2+3x+4x+12=0

you can turn x^2+3x into x(x+3) and 4x+12 into 4(x+3)

so, our new equation is x(x+3)+4(x+3)=0

that can be turned into (x+4)(x+3)=0 via the distributive property

so, either x+4 or x+3 has to be equal to 0

so, x is either -4 or -3

hope this helped

Answer:

339.24

Step-by-step explanation:

To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2

The radius is half the diameter do r=3

3.14(3)^2 should give you about 28.27.

This is the area of the top and bottom of the cylinder.

Now, do 28.27x10=282.7 to find the height surface area.

282.7+28.27+28.27=Surface area.

SA= about 339.24

Answer:

15 cu ft

Step-by-step explanation:

figure A~figure B

4-->2 ft

10-->5 ft

3-->1.5 ft

V=2×5×1.5=15 cu ft

The volume of Figure B is  15 [tex]ft^{3}[/tex]

The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio.

According to the question

Figure A ≈ Figure B

Therefore , ratio of corresponding sides have the same ratio .

Figure A              Figure B

4 ft                ⇒         2 ft  (given )

( As ratio of [tex]\frac{side\\\ of\\\ figure A}{side\\\ of\\\ figure B} = \frac{2}{1}[/tex] )

10 ft                ⇒        5 ft

3 ft                ⇒         1.5 ft

Now, volume of Figure B (which is cuboid ) =  Length * Breath * Height

                                                                       =  2 * 5 * 1.5

                                                                       =    15 [tex]ft^{3}[/tex]

Hence, the volume of Figure B is  15 [tex]ft^{3}[/tex]

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