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3 years ago

Can someone help me with this one too

Mathematics

2 answers:

crimeas [40]3 years ago

8 0

Answer:

$\boxed{3^9}$

Step-by-step explanation:

$3^5 \times 3^4$

Apply the law of exponents : $a^b \times a^c = a^{b+c}$

The exponent product rule states that, when multiplying two exponents that have the same base, you can add the exponents.

$3^{5+4}$

$3^9$

11Alexandr11 [23.1K]3 years ago

6 0

Answer:

A. $3 {}^{9}$

Step-by-step explanation:

$3 {}^{4} \times {3}^{5} = {3}^{4 + 5} = 3 {}^{9}$

Hope this helps ;) ❤❤❤

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Solve for x<br> a 2.2<br> b 5.4<br> c 6.5<br> d 7.2

Reika [66]

Answer:

Step-by-step explanation:

Given that the segment is an angle bisector then the ratio of sides and base are equal, that is

$\frac{10}{4}$ = $\frac{18}{x}$ ( cross- multiply )

10x = 72 ( divide both sides by 10 )

x = 7.2 → D

8 0

3 years ago

Find the circumference of the following circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

dybincka [34]

Answer:

18.84

Step-by-step explanation:

3.14 · 6

18.84

3 0

3 years ago

Read 2 more answers

The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi

Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy = 0.5

As per given , we have

Null hypothesis : $H_0: p\leq0.5$

Alternative hypothesis : $H_a: p>0.5$

Since $H_a$ is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: $\hat{p}=\dfrac{239}{291}\approx0.82$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$ , where n is sample size , $\hat{p}$ is sample proportion and p is the population proportion.

$\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92$

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for 0.01 significance level = $z_{0.01}=2.326$

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0

3 years ago

In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th

WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ; 10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, $\frac{dx}{dt}$ = $1,000

Now,

a) computers per household are

since,

mean income of $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

q = 0.5198 computers per household

b) Rate of increase in computers i.e $\frac{dq}{dt}$

$\frac{dq}{dt}$ = $\frac{d(0.3458 ln x - 3.045)}{dt}$

$\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0$

on substituting the values, we get

$\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000$

= 0.01153 computers

6 0

3 years ago

—7m<28 solve please hurry

mario62 [17]

Answer:

the answer is -4

Step-by-step explanation:

step 1: -7m<28

step 2: -7m÷ (-7)>28÷(-7)

step 3: m>28÷(-7)

step 4: m>-28÷7

step 5: m>-4

8 0

3 years ago