Write in standard form 4.91E-2

Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.

olganol [36]

Answer:

yea, option b I guesssssss

6 0

3 years ago

What is the solution of 5x-1 >O?<br> O x5-8 or x><br> © xx-8 or x<br> o -85 x < 1/3<br> -8

ElenaW [278]

Answer:

x >1/5

Step-by-step explanation:

5x-1 >0

Add 1 to each side

5x-1+1 >0+1

5x >1

Divide each side by x

5x/5 >1/5

x >1/5

4 0

3 years ago

Read 2 more answers

What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean

Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n = 90

Standard error =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} = 10.54$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(test score within 10 points)

$P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%$

$P(492 \leq x \leq 512) = 65.8\%$

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

7 0

3 years ago

Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have differe

Nitella [24]

Yes, the triangles are congruent if AB ≅ DE.

Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides, DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

Learn more about Congruent Triangles here:

brainly.com/question/22062407

#SPJ4

3 0

1 year ago

Read 2 more answers

URGENT PLEASE HELP !!!!!

Mumz [18]

Answer:

Let P represent the number of pies sold and J represent the number of juices sold.

a)

The first equation for the sum of the sales:

P + J = 79

P = 79 - J

Next, for the sum of the amounts earned:

1.65P + 1.36J = 118.17

Substituting P,

1.65 (79 - J) + 1.36J = 118.17

J = 42

Using this value of J,

P = 79 - 42

P = 37

b)

Mr. Sanchez's class earned: 1.65 x 37 = $61.05

Mr. Kelly's class earned: 1.36 x 42 = $57.12

So Mr. Sanchez's class earned more money.

c) Mr. Sanchez's class earned:

61.05 - 57.12

= $3.93 more than Mr. Kelly's class

Step-by-step explanation:

:)

4 0

3 years ago