1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adelina 88 [10]
3 years ago
13

The product of two consecutive even integers is 120. Find the interfere

Mathematics
1 answer:
nlexa [21]3 years ago
8 0
the correct question is
<span>The product of two consecutive even integers is 120. Find the integers

let
x-----------> first even integer
x+2-------> second consecutive even integer

we know that
x*(x+2)=120-------> x</span>²+2x-120=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=10

therefore
</span>first even integer is 10
second consecutive even integer is (10+2)----> 12
<span>
the answer is
10 and 12

</span>

You might be interested in
Simplify (3^3)(1/9^2 − 6 + 2)
AnnZ [28]

Answer:

27/77

Step-by-step explanation:

I hope this is correct

Have a good Day!

3 0
3 years ago
The ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?
Kryger [21]

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

3 0
3 years ago
Read 2 more answers
a math teacher claims that she has developed a review course that increases the score of students on the math portion of a colle
madam [21]

Answer:

A.

H_0: \mu\leq514\\\\H_1: \mu>514

B. Z=2.255. P=0.01207.

C. Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. P(z>0.94)=0.1736

Step-by-step explanation:

<em>A. state the null and alternative hypotheses.</em>

The null hypothesis states that the review course has no effect, so the scores are still the same. The alternative hypothesis states that the review course increase the score.

H_0: \mu\leq514\\\\H_1: \mu>514

B. test the hypothesis at the a=.10 level of confidence. is a mean math score of 520 significantly higher than 514? find the test statistic, find P-value. is the sample statistic significantly higher?

The test statistic Z can be calculated as

Z=\frac{M-\mu}{s/\sqrt{N}} =\frac{520-514}{119/\sqrt{2000}}=\frac{6}{2.661}=2.255

The P-value of z=2.255 is P=0.01207.

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

Then we can conclude that the score of 520 is significantly higher than 514, in this case, specially because the big sample size.

C.​ do you think that a mean math score of 520 vs 514 will affect the decision of a school admissions adminstrator? in other words does the increase in the score have any practical significance?

Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. test the hypothesis at the a=.10 level of confidence with n=350 students. assume that the sample mean is still 520 and the sample standard deviation is still 119. is a sample mean of 520 significantly more than 514? find test statistic, find p value, is the sample mean statisically significantly higher? what do you conclude about the impact of large samples on the p-value?

In this case, the z-value is

Z=\frac{520-514}{s/\sqrt{n}} =\frac{6}{119/\sqrt{350}} =\frac{6}{6.36} =0.94\\\\P(z>0.94)=0.1736>\alpha

In this case, the P-value is greater than the significance level, so there is no evidence that the review course is increasing the scores.

The sample size gives robustness to the results of the sample. A large sample is more representative of the population than a smaller sample. A little difference, as 520 from 514, but in a big sample leads to a more strong evidence of a change in the mean score.

Large samples give more extreme values of z, so P-values that are smaller and therefore tend to be smaller than the significance level.

8 0
2 years ago
During one month there were seven days of precipitation. What if there had only been three days and precipitation that month? Ho
Mazyrski [523]
No se por que no te entendi
3 0
3 years ago
Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464
Vika [28.1K]

Answer:

L=3.999 \: dm

A=183.4581\:dm^{2}

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

a_{p}=L\frac{2+\sqrt{3}}{2}

Sabiendo que la apotema es 7.464 el lado sera:

L=\frac{2*a_{p}}{2+\sqrt{3}}

L=\frac{2*7.464}{2+\sqrt{3}}

L=3.999 \: dm

Por otro lado el area de un dodecágono regular esta dada por:

A=6a_{p}L

A=6*7.646*3.999

A=183.4581\:dm^{2}

Espero te haya sido de ayuda!

7 0
3 years ago
Other questions:
  • Jim bought 2 packs of batteries from a store. The price of each pack was the same. After he bought the batteries, his account ba
    11·2 answers
  • Whats y-1/2 when y =5/6 plsss tell meeee
    15·1 answer
  • I WILL UPVOTE ALL ANSWERS
    12·1 answer
  • A tennis ball travels at speed of 120 miles per hour.convert this rate to feet per second
    9·1 answer
  • A submarine started 20 feet below sea level. It is now 10 feet below sea level. Which integer represents its change in depth?
    5·2 answers
  • 8 1/4 pt is how many cups
    7·2 answers
  • A researcher designs an experiment by manipulating the following variables: temperature (low or high), illumination level (low o
    11·1 answer
  • Please help with test offering big points pt 4
    13·1 answer
  • (giving brainiest)<br><br> tell how you solved the question
    10·1 answer
  • Pls help i need it.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!