All categories

3 years ago

The 180 falls between which two whole numbers? A) 11 and 12 B) 12 and 13 C) 13 and 14 D) 14 and 15

Mathematics

2 answers:

Umnica [9.8K]3 years ago

7 0

Answer:

C) 13 and 14

Step-by-step explanation:

To find the answer, we need to check for all the options.

A) 11 and 12 = 11 *12 = 132

B) 12 and 13 = 12 *13 = 156

C) 13 and 14 = 13*14 = 182

D) 14 and 15 = 14*15 = 210

In which, C) is true.

It is 182 which falls in 180's

Therefore, answer is C) 13 and 14

Hope this will helpful.

Thank you.

alexdok [17]3 years ago

6 0

Answer:

Option C) 13 and 14

Step-by-step explanation:

We are given the following information.

We have to find that 180 lies between the square of two whole numbers.

$a)~ (11)^2\text{ and }(12)^2\\121 \not< 180 \not< 144\\\\b)~ (12)^2\text{ and }(13)^2\\144 \not< 180 \not< 169\\\\c)~ (13)^2\text{ and }(14)^2\\169 < 180 < 196\\\\a)~ (14)^2\text{ and }(15)^2\\196 \not< 180 < 225$

Thus,

180 lies between the square of 13 and 14.

Option C) 13 and 14

You might be interested in

Suppose that 21 inches of wire costs 63 cents.

defon

Answer:

162 cents

Step-by-step explanation:

to find the rate you want take the inches which is 21 and divide by the cost which is 63 and find the rate is 3 which means each inch costs 3 cents and so with that rate you can find the cost of 54 inchest of wire so you take your 54 inches and multiply it by 3 which is the cents per inch and find that 54 inches of wire would cost you 162 cents

6 0

2 years ago

Need help ON THESE TOO PLEASE WILL MARK BRAINLY

LenKa [72]

Answer:

angle 2WZX = angle ZYX ( Since all angles and sides of a rhombus are equal)

ZYX = 2 x 29.5

4x - 10 =90 (since all angles of a rhombus intersect at 90°)

x=90+10/4

x=100/4

x=25

hope this helps

5 0

3 years ago

Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are ne

kobusy [5.1K]

1 cup per 8 oz

48/6 = 8

every 1 cup of water 8 oz of tomato paste.

3 0

3 years ago

Read 2 more answers

In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. This is the 14

lbvjy [14]

Answer:

We are confident at 99% that the difference between the two proportions is between $0.380 \leq p_{Republicans} -p_{Democrats} \leq 0.420$

Step-by-step explanation:

Part a

Data given and notation

$X_{D}=3266$ represent the number people registered as Democrats

$X_{R}=2137$ represent the number of people registered as Republicans

$n=7525$ sampleselcted

$\hat p_{D}=\frac{3266}{7525}=0.434$ represent the proportion of people registered as Democrats

$\hat p_{R}=\frac{2137}{7525}=0.284$ represent the proportion of people registered as Republicans

The standard error is given by this formula:

$SE=\sqrt{\frac{\hat p_D (1-\hat p_D)}{n_{D}}+\frac{\hat p_R (1-\hat p_R)}{n_{R}}}$

And the standard error estimated given by the problem is 0.008

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion of Democrats that approve of the way the California Legislature is handling its job

$\hat p_A =\frac{1894}{3266}=0.580$ represent the estimated proportion of Democrats that approve of the way the California Legislature is handling its job

$n_A=3266$ is the sample size for Democrats

$p_B$ represent the real population proportion of Republicans that approve of the way the California Legislature is handling its job

$\hat p_B =\frac{385}{2137}=0.180$ represent the estimated proportion of Republicans that approve of the way the California Legislature is handling its job

$n_B=2137$ is the sample for Republicans

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$(0.580-0.180) - 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.380$

$(0.580-0.180) + 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.420$

And the 99% confidence interval would be given (0.380;0.420).

We are confident at 99% that the difference between the two proportions is between $0.380 \leq p_{Republicans} -p_{Democrats} \leq 0.420$

5 0

3 years ago

Which ordered pairs in the form (x, y)(x, y) are solutions to the equation 3x−4y=213x−4y=21 ?

Natalija [7]

None of these couples are solutions, (11, 3)(11, 3); (−1, −6)(−1, −6); (−3, 3)(−3, 3); <span>(7, 0). Perhaps the choice of answer are insufficient. we can add (1, 48) the couple (7, 0) and (7, 0)(1, 48) is a true answer, why? because it verifies the equation.</span>

5 0

3 years ago

Read 2 more answers