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
gavmur [86]
3 years ago
5

Write and solve a proportion to answer the question. What number a is 70% of 70

Mathematics
1 answer:
MissTica3 years ago
7 0
Percent means parts out of 100
so 70%=70/100


'of' means multiply


we can do
\frac{x}{70}=\frac{70}{100}
that's the prooprtion

solving
\frac{x}{70}=\frac{70}{100}
\frac{x}{70}=\frac{7}{10}
times both sides by 70
x=\frac{490}{10}
x=49

the number is 49
You might be interested in
Please help me I don’t understand this
Lyrx [107]
When you're given a point and the slope of a line, it is often easiest to write its equation in point-slope form.

This is y-y_1=m(x-x_1), where (x_1,y_1) is the ordered pair for the point you are given and m is the slope.

Here, you would write y-8=-3(x-7). Then, you simplify to get to slope-intercept form, which is y = mx+b, where b is the y-intercept.

y-8=-3(x-7) \\ y=-3x+29

The correct answer is A.
6 0
3 years ago
A company wants to find out if the average response time to a request differs across its two servers. Say µ1 is the true mean/ex
lorasvet [3.4K]

Answer:

a) The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

Test statistic t=0.88

The P-value is obtained from a t-table, taking into acount the degrees of freedom (419) and the type of test (two-tailed).

b)  A P-value close to 1 means that a sample result have a high probability to be obtained due to chance, given that the null hypothesis is true. It means that there is little evidence in favor of the alternative hypothesis.

c) The 95% confidence interval for the difference in the two servers population expectations is (-0.372, 0.972).

d) The consequences of the confidence interval containing 0 means that the hypothesis that there is no difference between the response time (d=0) is not a unprobable value for the true difference.

This relate to the previous conclusion as there is not enough evidence to support that there is significant difference between the response time, as the hypothesis that there is no difference is not an unusual value for the true difference.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that there is significant difference in the time response for the two servers.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=196 has a mean of 12.5 and a standard deviation of 3.

The sample 2, of size n2=225 has a mean of 12.2 and a standard deviation of 4.

The difference between sample means is Md=0.3.

M_d=M_1-M_2=12.5-12.2=0.3

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{3^2}{196}+\dfrac{4^2}{225}}\\\\\\s_{M_d}=\sqrt{0.046+0.071}=\sqrt{0.117}=0.342

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.3-0}{0.342}=\dfrac{0.3}{0.342}=0.88

The degrees of freedom for this test are:

df=n_1+n_2-1=196+225-2=419

This test is a two-tailed test, with 419 degrees of freedom and t=0.88, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>0.88)=0.381

As the P-value (0.381) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is significant difference in the time response for the two servers.

<u>Confidence interval </u>

We have to calculate a 95% confidence interval for the difference between means.

The sample 1, of size n1=196 has a mean of 12.5 and a standard deviation of 3.

The sample 2, of size n2=225 has a mean of 12.2 and a standard deviation of 4.

The difference between sample means is Md=0.3.

The estimated standard error of the difference is s_Md=0.342.

The critical t-value for a 95% confidence interval and 419 degrees of freedom is t=1.966.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_{M_d}=1.966 \cdot 0.342=0.672

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = 0.3-0.672=-0.372\\\\UL=M_d+t \cdot s_{M_d} = 0.3+0.672=0.972

The 95% confidence interval for the difference in the two servers population expectations is (-0.372, 0.972).

7 0
3 years ago
Describe and correct the error in evaluating the expression.<br> 9 + 2 x 3 = 11 x 3 = 33
Vinil7 [7]

Answer:

so basically is right how you write but multiplication goes first

3 0
3 years ago
PLEASE HELP BEFORE 10:00AM EST PLEASE!!!!!!!!! PLEASE SHOW WORK IF YOU CAN!!
Tju [1.3M]
1. answer is $246.68 (rounded) because 230 x 1.0725 (multiplier) is $246.675.
2. answer is B
3. answer is A rounded because you will get (51.5962...)
4. answer is A because when divide 40 by 42.59 you get 1.06475 (but that is the multiplier) so the answer is A
5. answer is A because 12000x 1.04 is 12480 and 12480-12000=480
6.I guess the answer is D but the total he earns is $2440 but from the one car he earns $2240 +$200 (which he earns anyway)
7.answer is A $9.16
8. the answer is B
(J-)Hope this helps
3 0
3 years ago
The linear equation was solved using these steps. Linear equation: 1 3 (12x + 15) = 7 Step 1: 4x + 5 = 7 Step 2: 4x = 2 Step 3:
bagirrra123 [75]

Answer:

The property that was used in step 1 was the distributive property.

The property that was used in step 2 was the subtraction property of equality.

The property that was used in step 3 was the division property of equality.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3)
    14·1 answer
  • Jimmy spent $121.60 on shirts. Tee shirts cost $9.10 and long sleeve shirts cost $14.20. If he bought a total of 10, how many of
    9·1 answer
  • 5 brothers are going to take turns watching their family's new puppy. How much time will each brother spend watching the puppy i
    12·2 answers
  • 1) Ethan, Amir, Victoria, and Kayla share
    15·1 answer
  • Whoever can help me with my math i will mark brainliest
    10·2 answers
  • If it costs $3 to bowl a game and $2 for shoe rental what is the expression for the total cost of g games, use the expression to
    11·2 answers
  • 83x - 6) = 6(4x + 8)​
    8·1 answer
  • Find x in each triangle.
    14·1 answer
  • Can someone Help me?
    5·1 answer
  • The ratio of dogs to cats is 3 to 8. if there are 294 dogs, how many cats are there?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!